Instructor: Imelda Valencia Course: A3 Honors Pre Calculus

Save this PDF as:
 WORD  PNG  TXT  JPG

Size: px
Start display at page:

Download "Instructor: Imelda Valencia Course: A3 Honors Pre Calculus"

Transcription

1 Student: Date: Instructor: Imelda Valencia Course: A3 Honors Pre Calculus Assignment: Summer Homework for those who will be taking FOCA onl available until Sept Write the epression in the standard form a + b i. ( + i ) (9 3 i ) ( + i ) (9 3 i ) = (Simplif our answer.). Perform the indicated operation and write the result in standard form. 3 3 = (Simplif our answer. Epress comple numbers in terms of i. Tpe an eact answer, using radicals as needed.) 3. Perform the indicated operations and write the result in standard form. 7 7 = (Tpe an eact answer, using radicals as needed. Tpe our answer in the form a + b i.). Use the verte and intercepts to sketch the graph of the quadratic function. Give the equation of the parabola's ais of smmetr. Use the graph to determine the domain and range of the function. f() = ( + ) 9 Use the graphing tool to graph the function. Use the verte and one of the intercepts when drawing the graph. The ais of smmetr is. (Tpe an equation. Simplif our answer.) The domain of the function is. (Tpe our answer in interval notation.) The range of the function is. (Tpe our answer in interval notation.) /9

2 5. Use the verte and intercepts to sketch the graph of the quadratic function. Give the equation for the parabola's ais of smmetr. Use the parabola to identif the function's domain and range. f() = Use the graphing tool to graph the equation. Use the verte and one of the intercepts when drawing the graph. The equation for the ais of smmetr is. (Tpe an equation.) Use the graph to identif the function's domain. The domain of f is. (Tpe our answer in interval notation.) Use the graph to identif the function's range. The range of f is. (Tpe our answer in interval notation.) Find the zeros for the polnomial function and give the multiplicit for each zero. State whether the graph crosses the ais, or touches the ais and turns around, at each zero. f() = 3( + )( + ) The zeros are. (Use a comma to separate answers as needed.) The multiplicit of is. The multiplicit of is. Does the graph of f() cross or touch the ais and turn around at the intercept,? Cross Touch the ais and turn around Does the graph of f() cross or touch the ais and turn around at the intercept,? Touch the ais and turn around Cross 7. Among all pairs of numbers whose sum is, find a pair whose product is as large as possible. What is the maimum product? The pair of numbers whose sum is and whose product is as large as possible is. (Use a comma to separate answers.) The maimum product is. /9

3 . Divide using snthetic division = + 1 (Simplif our answers. Do not factor.) 1 9. Use transformations of the graph of f() = 5 to graph the function g() given below. Graph and give the equation of the asmptote. Use the graph to determine the domain and range of g(). g() = 5 Graph the function g() = 5 and its asmptote. Graph the asmptote as a dashed line. Use the graphing tool to graph the function. What is the equation of the horizontal asmptote of g() = 5? = What is the domain of g() = 5? (Tpe our answer in interval notation.) What is the range of g() = 5? (Tpe our answer in interval notation.) 3/9

4 10. Begin b graphing f() = log 3. Then use transformations of this graph to graph the given function. What is the vertical asmptote? Use the graphs to determine the given function's domain and range. g() = log ( + ) 3 Graph the function g() = log 3( + ). Graph the asmptote of g() as a dashed line. Use the graphing tool to graph the functions What is the vertical asmptote of g()? = What is the domain of g() = log 3( + )? (Simplif our answer. Tpe our answer in interval notation.) What is the range of g() = log 3( + )? (Simplif our answer. Tpe our answer in interval notation.) 11. Find the domain of the function. f() = log ( + 9) The domain of f is. (Tpe our answer in interval notation.) 1. Find the domain of the following logarithmic function. f() = ln ( ) Which is the correct domain of f() = ln ( )? (,) or (, ) (, ) (, ) or (, ) (, ) 13. Evaluate the epression without using a calculator. log log = 3 /9

5 1. Evaluate the following epression without using a calculator. log 1 log 1 = (Tpe an integer or a fraction.) 15. Evaluate the epression without using a calculator. log log log log = 1. Evaluate the following epression without using a calculator. 3 log log 3 9 = 17. Evaluate the epression without using a calculator. log log 17 = 1. Use the compound interest formulas A = P 1 + r nt and A = Pe rt to solve the problem given. Round answers to the n nearest cent. Find the accumulated value of an investment of $10,000 for ears at an interest rate of.5% if the mone is a. compounded semiannuall; b. compounded quarterl; c. compounded monthl d. compounded continuousl. a. What is the accumulated value if the mone is compounded semiannuall? $ (Round our answer to the nearest cent.) b.what is the accumulated value if the mone is compounded quarterl? $ (Round our answer to the nearest cent.) c. What is the accumulated value if the mone is compounded monthl? $ (Round our answer to the nearest cent.) d. What is the accumulated value if the mone is compounded continuousl? $ (Round our answer to the nearest cent.) 19. Solve the eponential equation b epressing each side as a power of the same base and then equating eponents. = 5 The solution set is. 5/9

6 0. Solve for. 3 7 = 9 The solution set is. 1. Solve the eponential equation b epressing each side as a power of the same base and then equating eponents. 3 = 1 The solution set is. (Simplif our answer.). Solve the following eponential equation b epressing each side as a power of the same base and then equating eponents. 1 9 = 3 The solution set is. 3. Solve the following eponential equation b epressing each side as a power of the same base and then equating eponents. + 5 = 3 The solution set is.. Solve the following eponential equation b epressing each side as a power of the same base and then equating eponents. + 1 e = e The solution set is. 5. Solve the following eponential equation. Epress the solution set in terms of natural logarithms. Then use a calculator to obtain a decimal approimation, correct to two decimal places, for the solution. = 9 What is the solution in terms of natural logarithms? The solution set is. (Use a comma to separate answers as needed. Simplif our answer. Use integers or fractions for an numbers in the epression.) What is the decimal approimation for the solution? The solution set is. (Use a comma to separate answers as needed. Round to two decimal places as needed.) /9

7 . Solve the eponential equation. Epress the solution set in terms of natural logarithms. Then use a calculator to obtain a decimal approimation, correct to two decimal places, for the solution. 7 e = 3 What is the solution in terms of natural logarithms? The solution set is. (Use a comma to separate answers as needed. Simplif our answer. Use integers or fractions for an numbers in the epression.) What is the decimal approimation for the solution? The solution set is. (Use a comma to separate answers as needed. Round to two decimal places as needed.) 7. Solve the following eponential equation b taking the natural logarithm on both sides. Epress the solution in terms of natural logarithms. Then, use a calculator to obtain a decimal approimation for the solution. 7 e = 5 What is the solution in terms of natural logarithms? The solution set is. (Use a comma to separate answers as needed. Simplif our answer. Use integers or fractions for an numbers in the epression.) What is the decimal approimation for the solution? The solution set is. (Use a comma to separate answers as needed. Round to two decimal places as needed.). Solve the eponential equation. Epress the solution in terms of natural logarithms. Then use a calculator to obtain a decimal approimation for the solution. ( 3) 7 = 335 What is the solution in terms of natural logarithms? The solution set is. (Use a comma to separate answers as needed. Simplif our answer. Use integers or fractions for an numbers in the epression.) What is the decimal approimation for the solution? The solution set is. (Use a comma to separate answers as needed. Round to two decimal places as needed.) 9. Solve the logarithmic equation. Be sure to reject an value of that is not in the domain of the original logarithmic epressions. Give the eact answer. log ( + ) = log + log Select the correct choice below and, if necessar, fill in the answer bo to complete our choice. A. The solution set is. (Simplif our answer. Use a comma to separate answers as needed.) B. There is no solution. 7/9

8 30. Solve the logarithmic equation. Be sure to reject an value of that is not in the domain of the original logarithmic epressions. Give the eact answer. log ( 3) = log ( + ) + log 9 Select the correct choice below and, if necessar, fill in the answer bo to complete our choice. A. The solution set is. (Simplif our answer. Use a comma to separate answers as needed.) B. There is no solution. 31. Solve the logarithmic equation. Be sure to reject as a solution an value that is not in the domain of the original logarithmic epressions. log = log 3 Select the correct choice below and, if necessar, fill in the answer bo to complete our choice. A. The solution set is. (Tpe an eact answer in simplified form. Use a comma to separate answers as needed.) B. There is no solution. 3. Solve the logarithmic equation. Be sure to reject an value of that is not in the domain of the original logarithmic epressions. Give the eact answer. log ( + 1) log = log (3 + ) Select the correct choice below and, if necessar, fill in the answer bo to complete our choice. A. The solution set is. (Simplif our answer. Use a comma to separate answers as needed.) B. There is no solution. 33. Solve the logarithmic equation. Be sure to reject an value of that is not in the domain of the original logarithmic epressions. Give the eact answer. log log 5 = log 05 Select the correct choice below and, if necessar, fill in the answer bo to complete our choice. A. The solution set is. (Simplif our answer. Use a comma to separate answers as needed.) B. There is no solution. 3. Solve the logarithmic equation. Be sure to reject an value of that is not in the domain of the original logarithmic epressions. Give the eact answer. log + log ( + ) = log 3 Select the correct choice below and, if necessar, fill in the answer bo to complete our choice. A. The solution set is. (Simplif our answer. Use a comma to separate answers as needed.) B. There is no solution. /9

9 35. Solve the triangle. A = 50, B = 1, a = 7 C = (Do not round until the final answer. Then round to the nearest degree as needed.) b (Do not round until the final answer. Then round to the nearest tenth as needed.) c (Do not round until the final answer. Then round to the nearest tenth as needed.) 3. Two ships leave a harbor at the same time. One ship travels on a bearing S11 W at 11 miles per hour. The other ship travels on a bearing N75 E at 1 miles per hour. How far apart will the ships be after hours? The distance is approimatel miles. (Round to the nearest tenth as needed.) feet The figure shows a 50 foot tower on the side of a hill that forms a angle with the horizontal. Find the length of each of the two gu wires that are anchored 50 feet uphill and downhill from the tower's base and etend to the top of the tower. 50 feet 50 feet Part (a) What is the length of the uphill gu wire? feet (Round to the nearest tenth as needed.) Part (b) What is the length of the downhill gu wire? feet (Round to the nearest tenth as needed.) 3. The rectangular coordinates of a point are given. Find the polar coordinates (r, θ) of this point with θ epressed in radians. Let r > 0 and 0 θ < π. ( 3, ) The polar coordinates are. (Tpe an ordered pair. Tpe eact answers for each coordinate, using π as needed. Use integers or fractions for an numbers in the epression. Simplif our answer.) 39. The rectangular coordinates of a point are given. Find polar coordinates of the point such that r > 0 and 0 θ < π. ( 1,0) The polar coordinates are. (Tpe an ordered pair. Tpe our answer in radians. Tpe an eact answer. Simplif our answer.) 9/9

10 0. Consider the following sstem. + + z = 1 This is Equation 1. 5 = This is Equation. z = 1 This is Equation 3. Equation does not contain the variable (1) To obtain a second equation that does not contain this variable, () (1) z... () add Equations 1 and 3. add Equations and 3. add Equations and Determine if (7,,) is a solution of the sstem. + + z = 11 z = 5 z = Choose the correct answer below. The ordered triple is a solution to the sstem. The ordered triple is not a solution to the sstem.. Determine if the given ordered triple below is a solution of the following sstem. + 3 = = 7z = ( 1, 1, ) Is the ordered triple a solution to the sstem? No Yes 3. Solve the given sstem of equations z = z = 3 7z = Select the correct choice below and fill in an answer boes within our choice. A. There is one solution. The solution set is,, B. There are infinitel man solutions. C. There is no solution.. (Simplif our answers.) 10/9

11 . Solve the sstem. If there is no solution or if there are infinitel man solutions and the sstem's equations are dependent, so state. + 3z = z = z = 15 Select the correct choice below and fill in an answer boes within our choice. A. There is one solution. The solution set is {(,, )}. (Simplif our answers.) B. There are infinitel man solutions. C. There is no solution. 5. Solve the given sstem of equations z = z = 9 + z = 10 Select the correct choice below and fill in an answer boes within our choice. A. There is one solution. The solution set is,, B. There are infinitel man solutions. C. There is no solution.. (Simplif our answers.). Solve the sstem. If there is no solution or if there are infinitel man solutions and the sstem's equations are dependent, so state. + 3z = 3 + z = 0 z = 1 Select the correct choice below and fill in an answer boes within our choice. A. There is one solution. The solution set is {(,, )}. (Simplif our answers.) B. There are infinitel man solutions. C. There is no solution. 11/9

12 7. Solve the sstem. If there is no solution or if there are infinitel man solutions and the sstem's equations are dependent, so state. 3 + = 3 + z = z = 0 Select the correct choice below and fill in an answer boes within our choice. A. There is one solution. The solution set is {,, }. (Simplif our answers.) B. There are infinitel man solutions. C. There is no solution.. Solve the sstem. 3 = z = 1 + z = 3 Select the correct choice below and fill in an answer boes within our choice. A. There is one solution. The solution set is,, B. There are infinitel man solutions. C. There is no solution.. (Simplif our answers.) 9. Solve the sstem. If there is no solution or if there are infinitel man solutions and the sstem's equations are dependent, so state. 5( + ) + 3z = 1 ( 5 + z) = 3 (1 + ) = 5(z 5) Select the correct choice below and fill in an answer boes within our choice. A. There is one solution. The solution set is,,. (Simplif our answers.) B. There are infinitel man solutions. C. There is no solution. 50. Find the quadratic function = a + b + c whose graph passes through the given points. ( 3, ), (, 3), ( 1, 0) = 51. Find the quadratic function = a + b + c whose graph passes through the given points. ( 1, 1), ( 1, 7), (, ) = 1/9

13 5. Solve the sstem z z z Select the correct choice below and fill in an answer boes within our choice. = 0 = 9 = 53 1 A. There is one solution. The solution set is,, B. There are infinitel man solutions. C. There is no solution.. (Simplif our answers.) 53. Find the equation of the quadratic function = a + b + c whose graph is shown on the right. Select three points whose coordinates appear to be integers. 1 = (Simplif our answer. Tpe an epression using as the variable.) 5. You throw a ball straight up from a rooftop. The ball misses the rooftop on its wa down and eventuall strikes the ground. A mathematical model can be used to describe the relationship for the ball's height above the ground,, after seconds., seconds after the ball is thrown, ball's height, in feet, above the ground a. Find the quadratic function = a + b + c whose graph passes through the given points. = b. Use the function in part (a) to find the value for when = 5. When = 5, =. 13/9

14 55. The bar graph shows the average annual spending per person on selected items in 010. The combined spending on housing, vehicles/gas, and health care was $ 13,. The difference between spending on housing and spending on vehicles/gas was $ The difference between spending on housing and spending on health care was $ 703. Find the average per person spending on housing, vehicles/gas, and health care in 010. Find the average per person spending on housing in 010. Annual Spending per Person, Adjusted for Inflation Annual spending per person ($) Housing p Vehicles/ gas t 010 Health care v Find the average per person spending on vehicles/gas in 010. Find the average per person spending on health care in On a recent trip to the convenience store, ou picked up gallons of milk, bottles of water, and snack size bags of chips. Your total bill (before ta) was $ 3.0. If a bottle of water costs twice as much as a bag of chips, and a gallon of milk costs $.00 more than a bottle of water, how much does each item cost? How much does a snack size bag of chips cost? $ (Tpe an integer or a decimal.) How much does a bottle of water cost? $ (Tpe an integer or a decimal.) How much does a gallon of milk cost? $ (Tpe an integer or a decimal.) 57. Use a sstem of linear equations in three variables to solve the following problem. A certain brand of razor blade comes in packages of, 1, and blades, costing $, $ 3, and $ per package, respectivel. A store sold 1 packages containing a total of razor blades and took in $ 53. How man packages of each tpe were sold? Write a sstem of linear equations using the given information. Choose correct answer below. A z = z = z = C z = z = z = 1 B z = z = + + z = 53 D z = z = + + z = 1 There were packages of blades, packages of 1 blades, and packages of blades sold. 1/9

15 5. A person invested $ 700 for 1 ear, part at %, part at 11%, and the remainder at 1%. The total annual income from these investments was $ 7. The amount of mone invested at 1% was $ 100 more than the amounts invested at % and 11% combined. Find the amount invested at each rate. The person invested $ at %, $ at 11%, and $ at 1%. 59. Find the values of,, and z in the triangle to the right. (+ ) z ( ) = = z = 0. Using the graph shown, fill in the blank so that the resulting statement is true. The equation of the parabola is of the form. The equation of the parabola is of the form (1) (1) = p. = p. 1. Using the graph shown, fill in the blank so that the resulting statement is true. The equation of the parabola is of the form. ( 5, ) The equation of the parabola is of the form (1) (1) ( + 5) = p( + ). ( 5) = p( ). ( ) = p( + 5). ( + ) = p( + 5). 15/9

16 . Find the focus and directri of the parabola with the given equation. Then graph the parabola. = 0 What is the focus? (Tpe an ordered pair. Simplif our answer.) What is the directri? (Tpe an equation. Simplif our answer.) Choose the correct graph of the parabola. A. B. C. D Find the focus and directri of the parabola with the given equation. Then graph the parabola. = 3 The focus is. (Tpe an ordered pair.) The directri is. (Tpe an equation.) Use the graphing tool to graph the parabola /9

17 . Convert the equation to standard form b completing the square on. Then find the verte, focus, and directri of the parabola. Finall, graph the parabola = 0 The equation in standard form is. What is the location of the verte of the parabola given b the equation? (Tpe an ordered pair.) What is the location of the focus of the parabola? (Tpe an ordered pair.) What is the directri of the parabola? (Tpe an equation.) Use the graphing tool to graph the parabola Graph the ellipse and locate the foci. + = Choose the correct graph below. A. B. C. D Locate the foci. (Tpe ordered pairs. Use a comma to separate answers. Tpe eact answers, using radicals as needed. Simplif our answers.) 17/9

18 . Graph the ellipse and give the location of its foci. ( 1) ( + 5) + = 1 5 Choose the correct graph below. A. B. C. D Locate the foci. (Tpe ordered pairs. Use a comma to separate answers. Tpe eact answers, using radicals as needed. Simplif our answers.) 7. Use the center, vertices, and asmptotes to graph the hperbola. Locate the foci and find the equations of the asmptotes. ( + 3) ( + 1) = 1 9 Graph the hperbola. Choose the correct graph below. A. B. C. D Determine the location of the foci. (Tpe an ordered pair. Simplif our answer. Tpe an eact answer, using radicals as needed. Use a comma to separate answers as needed.) The equations of the asmptotes are = ±. (Simplif our answer. Tpe our answer in point slope form. Use integers or fractions for an numbers in the equation.) 1/9

19 . Find the verte, focus, and directri of the parabola with the given equation. Then graph the parabola. ( 1) = 1( + 3) The verte of the parabola is. (Tpe an ordered pair.) The focus of the parabola is. (Tpe an ordered pair.) The directri of the parabola is. (Tpe an equation. Simplif our answer.) Use the graphing tool to graph the parabola Give the center and radius of the circle described b the equation and graph the equation. Use the graph to identif the domain and range. ( + ) + ( ) = 9 The center is. (Tpe an ordered pair. Simplif our answer.) The radius is. (Tpe an integer or a simplified fraction.) Graph the circle. Epress the domain of the relation in interval notation Epress the range of the relation in interval notation. 19/9

20 70. Use the center, vertices, and asmptotes to graph the hperbola. Locate the foci and find the equations of the asmptotes. ( ) ( + 3) = Graph the hperbola. Choose the correct graph below. A. B. C. D. Determine the location of the foci. (Tpe an ordered pair. Simplif our answer. Tpe an eact answer, using radicals as needed. Use a comma to separate answers as needed.) The equations of the asmptotes are = ±. (Simplif our answer. Tpe our answer in point slope form. Use integers or fractions for an numbers in the equation.) 0/9

21 i. i i = (, ) [ 9, ) = 1 (, ) [ 11, ) 1/9

22 ., 1 Cross Touch the ais and turn around 7. 11, (, ) (, ) (, ) (, ) 11. ( 9, ) /9

23 1. (,) or (, ) , , , , ln 9 ln. 3/9

24 . 3 ln ln ln ln A. The solution set is.(simplif our answer. Use a comma to separate answers as needed.) B. There is no solution. 31. A. The solution set is. (Tpe an eact answer in simplified form. Use a comma to separate answers as needed.) 3. A. The solution set is.(simplif our answer. Use a comma to separate answers as needed.) A. The solution set is 5.(Simplif our answer. Use a comma to separate answers as needed.) 3. A. The solution set is 7.(Simplif our answer. Use a comma to separate answers as needed.) /9

25 3., 5π 39. (1,π) 0. (1) z. () add Equations 1 and The ordered triple is a solution to the sstem.. Yes 3. A. There is one solution. The solution set is 1,, 3. (Simplif our answers.). A. There is one solution. The solution set is {( 1,, 3 )}. (Simplif our answers.) 5. A. There is one solution. The solution set is 1, 1, 1. (Simplif our answers.). A. There is one solution. The solution set is {( 1, 1, 3 )}. (Simplif our answers.) 7. A. There is one solution. The solution set is { 1, 0, }. (Simplif our answers.). A. There is one solution. The solution set is 1, 3,. (Simplif our answers.) 9. A. There is one solution. The solution set is 1 1, 5, 1. (Simplif our answers.) /9

26 5. A. There is one solution. The solution set is,,. (Simplif our answers.) C z = z = z = (1) = p. 1. (1) ( + 5) = p( + ). /9

27 . (5,0) = C (,0) = ( + 1) = 1( + ) ( 1, ) ( 1, 3) = /9

28 D. 11,0,, A , 5, , A , 1, , ( + 3). (1, 3) (1, ) = /9

29 9. (,) [ 5,1] [1,7] 70. D. 5, 3, + 5, ( ) 1 9/9

C)not a function. B) function domain: {-3, 2, 4, 6} range: {-7, 4, 2, -1}

C)not a function. B) function domain: {-3, 2, 4, 6} range: {-7, 4, 2, -1} Name Spring Semester Final Review (Dual) Precalculus MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Determine whether the relation represents a function.

More information

Test # 33 QUESTIONS MATH131 091700 COLLEGE ALGEBRA Name atfm131bli www.alvarezmathhelp.com website MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

More information

Name Please print your name as it appears on the class roster.

Name Please print your name as it appears on the class roster. Berkele Cit College Practice Problems Math 1 Precalculus - Final Eam Preparation Name Please print our name as it appears on the class roster. SHORT ANSWER. Write the word or phrase that best completes

More information

Items with a symbol next to the item number indicate that a student should be prepared to complete items like these with or without a calculator.

Items with a symbol next to the item number indicate that a student should be prepared to complete items like these with or without a calculator. HNRS ALGEBRA B Semester Eam Review The semester B eamination for Honors Algebra will consist of two parts. Part is selected response on which a calculator will NT be allowed. Part is short answer on which

More information

MATH 115: Final Exam Review. Can you find the distance between two points and the midpoint of a line segment? (1.1)

MATH 115: Final Exam Review. Can you find the distance between two points and the midpoint of a line segment? (1.1) MATH : Final Eam Review Can ou find the distance between two points and the midpoint of a line segment? (.) () Consider the points A (,) and ( 6, ) B. (a) Find the distance between A and B. (b) Find the

More information

Test #4 33 QUESTIONS MATH1314 09281700 COLLEGE ALGEBRA Name atfm1314bli28 www.alvarezmathhelp.com website SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

More information

Pre-Calculus B Semester 1 Review Packet December 2015

Pre-Calculus B Semester 1 Review Packet December 2015 Pre-Calculus B Semester Review Packet December 05 Name DISCLAIMER The memor on all calculators will be cleared the da of the final. If ou have programs on our calculator that ou would like to keep, please

More information

The semester B examination for Algebra 2 will consist of two parts. Part 1 will be selected response. Part 2 will be short answer. n times per year: 1

The semester B examination for Algebra 2 will consist of two parts. Part 1 will be selected response. Part 2 will be short answer. n times per year: 1 ALGEBRA B Semester Eam Review The semester B eamination for Algebra will consist of two parts. Part 1 will be selected response. Part will be short answer. Students ma use a calculator. If a calculator

More information

The formulas below will be provided in the examination booklet. Compound Interest: r n. Continuously: n times per year: 1

The formulas below will be provided in the examination booklet. Compound Interest: r n. Continuously: n times per year: 1 HONORS ALGEBRA B Semester Eam Review The semester B eamination for Honors Algebra will consist of two parts. Part will be selected response on which a calculator will not be allowe Part will be short answer

More information

Self- assessment 1010 (Intermediate Algebra)

Self- assessment 1010 (Intermediate Algebra) Self- assessment (Intermediate Algebra) If ou can work these problems using a scientific calculator, ou should have sufficient knowledge to demonstrate master of Intermediate Algebra and to succeed in

More information

Math125 Exam 5 Review Name. Do the following as indicated.

Math125 Exam 5 Review Name. Do the following as indicated. Math Eam Review Name Do the following as indicated. For the given functions f and g, find the requested function. ) f() = - 6; g() = 9 Find (f - g)(). ) ) f() = 33 + ; g() = - Find (f g)(). 3) f() = ;

More information

Answers for the problems can be found at the end of this packet starting on Page 12.

Answers for the problems can be found at the end of this packet starting on Page 12. MAC 0 Review for Final Eam The eam will consists of problems similar to the ones below. When preparing, focus on understanding and general procedures (when available) rather than specific question. Answers

More information

Chapter 12 and 13 Math 125 Practice set Note: the actual test differs. Given f(x) and g(x), find the indicated composition and

Chapter 12 and 13 Math 125 Practice set Note: the actual test differs. Given f(x) and g(x), find the indicated composition and Chapter 1 and 13 Math 1 Practice set Note: the actual test differs. Given f() and g(), find the indicated composition. 1) f() = - ; g() = 3 + Find (f g)(). Determine whether the function is one-to-one.

More information

First Semester Final Review NON-Graphing Calculator

First Semester Final Review NON-Graphing Calculator Algebra First Semester Final Review NON-Graphing Calculator Name:. 1. Find the slope of the line passing through the points ( 5, ) and ( 3, 7).. Find the slope-intercept equation of the line passing through

More information

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question Midterm Review 0 Precalculu Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question ) A graph of a function g is shown below. Find g(0). (-, ) (-, 0) - -

More information

MATH 91 Final Study Package Name

MATH 91 Final Study Package Name MATH 91 Final Stud Package Name Solve the sstem b the substitution method. If there is no solution or an infinite number of solutions, so state. Use set notation to epress the solution set. 1) - = 1 1)

More information

3.1 Graphing Quadratic Functions. Quadratic functions are of the form.

3.1 Graphing Quadratic Functions. Quadratic functions are of the form. 3.1 Graphing Quadratic Functions A. Quadratic Functions Completing the Square Quadratic functions are of the form. 3. It is easiest to graph quadratic functions when the are in the form using transformations.

More information

Math 0210 Common Final Review Questions (2 5 i)(2 5 i )

Math 0210 Common Final Review Questions (2 5 i)(2 5 i ) Math 0 Common Final Review Questions In problems 1 6, perform the indicated operations and simplif if necessar. 1. ( 8)(4) ( )(9) 4 7 4 6( ). 18 6 8. ( i) ( 1 4 i ) 4. (8 i ). ( 9 i)( 7 i) 6. ( i)( i )

More information

MAT 116 Final Exam Review

MAT 116 Final Exam Review MAT 116 Final Eam Review 1. Determine the equation for the line described, writing the answer in slope-intercept form. The line is parallel to = 8 and passes through ( 1,9). The line is perpendicular to

More information

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Practice for the Final Eam MAC 1 Sullivan Version 1 (2007) SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Find the distance d(p1, P2) between the points

More information

HCC-SE MATH DEPT. 1 Revised Fall 2008

HCC-SE MATH DEPT. 1 Revised Fall 2008 FINAL EXAM REVIEW ITEMS Math : College Algebra Find the -intercepts and an -intercepts. ) f() = + 7-0 ) = Name ) Select the equation that describes the graph. Solve the equation and epress the solution

More information

Learning Goals. College of Charleston Department of Mathematics Math 101: College Algebra Final Exam Review Problems 1

Learning Goals. College of Charleston Department of Mathematics Math 101: College Algebra Final Exam Review Problems 1 College of Charleston Department of Mathematics Math 0: College Algebra Final Eam Review Problems Learning Goals (AL-) Arithmetic of Real and Comple Numbers: I can classif numbers as natural, integer,

More information

9) A) f-1(x) = 8 - x B) f-1(x) = x - 8 C)f-1(x) = x + 8 D) f-1(x) = x 8

9) A) f-1(x) = 8 - x B) f-1(x) = x - 8 C)f-1(x) = x + 8 D) f-1(x) = x 8 Review for Final Eam Name Algebra- Trigonometr MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Factor the polnomial completel. If a polnomial cannot

More information

6.2 Indicate whether the function is one-to-one. 16) {(-13, -20), (-10, -20), (13, -8)}

6.2 Indicate whether the function is one-to-one. 16) {(-13, -20), (-10, -20), (13, -8)} Math 0 Eam Review. Evaluate the epression using the values given in the table. ) (f g)() 7 f() - - - g() - 7 Evaluate the epression using the graphs of = f() and = g(). ) Evaluate (fg)(). 9) H() = - 7

More information

6. The braking distance (in feet) for a car traveling 50 miles per hour on a wet uphill road is given by

6. The braking distance (in feet) for a car traveling 50 miles per hour on a wet uphill road is given by MATH 34 - College Algebra Review for Test 3 Section 4.6. Let f ( ) = 3 5 + 4. (a) What is the domain? (b) Give the -intercept(s), if an. (c) Give the -intercept(s), if an. (d) Give the equation(s) of the

More information

Chapter 9 Vocabulary Check

Chapter 9 Vocabulary Check 9 CHAPTER 9 Eponential and Logarithmic Functions Find the inverse function of each one-to-one function. See Section 9.. 67. f = + 68. f = - CONCEPT EXTENSIONS The formula = 0 e kt gives the population

More information

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Math 2 Stud Guide-Chapters 8 and 9 Name Date: Time: MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find all square roots of the number. ) 600 9,

More information

Exam practice Disclaimer. The actual test does not mirror this practice. This is meant as a means to help you understand the material.

Exam practice Disclaimer. The actual test does not mirror this practice. This is meant as a means to help you understand the material. Eam 3 24 practice Disclaimer. The actual test does not mirror this practice. This is meant as a means to help ou understand the material. Graph the function. 1) f() = 2 2 + 4 + 3 1) Sketch the graph of

More information

Name Period Date. Practice FINAL EXAM Intro to Calculus (50 points) Show all work on separate sheet of paper for full credit!

Name Period Date. Practice FINAL EXAM Intro to Calculus (50 points) Show all work on separate sheet of paper for full credit! Name Period Date Practice FINAL EXAM Intro to Calculus (0 points) Show all work on separate sheet of paper for full credit! ) Evaluate the algebraic epression for the given value or values of the variable(s).

More information

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 0 Final Practice Disclaimer: The actual eam differs. SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Epress the number in scientific notation. 1) 0.000001517

More information

PRACTICE FINAL EXAM. 3. Solve: 3x 8 < 7. Write your answer using interval notation. Graph your solution on the number line.

PRACTICE FINAL EXAM. 3. Solve: 3x 8 < 7. Write your answer using interval notation. Graph your solution on the number line. MAC 1105 PRACTICE FINAL EXAM College Algebra *Note: this eam is provided as practice onl. It was based on a book previousl used for this course. You should not onl stud these problems in preparing for

More information

Chapter 8 Vocabulary Check

Chapter 8 Vocabulary Check 28 CHAPTER 8 Quadratic Equations and Functions d. What is the level of methane emissions for that ear? (Use our rounded answer from part (c).) (Round this answer to 2 decimals places.) Use a graphing calculator

More information

EAST LOS ANGELES COLLEGE

EAST LOS ANGELES COLLEGE EAST LOS ANGELES COLLEGE NAME: MATHEMATICS FINAL EXAM SAMPLE INSTRUCTOR: ANNE SISWANTO; TIME: 10 MINUTES --------------------------------------------------------------------------------------------------------------------------

More information

Math125 Exam 5 (Final) Review Name. Do the following as indicated. 17) log 17x = 1.2 (Round answer to four decimal places.)

Math125 Exam 5 (Final) Review Name. Do the following as indicated. 17) log 17x = 1.2 (Round answer to four decimal places.) Math12 Eam (Final) Review Name Do the following as indicated. For the given functions f and g, find the requested function. 1) f() = - 6; g() = 92 Find (f - g)(). 2) f() = 33 + 1; g() = 2-2 Find (f g)().

More information

Chapters 8 & 9 Review for Final

Chapters 8 & 9 Review for Final Math 203 - Intermediate Algebra Professor Valdez Chapters 8 & 9 Review for Final SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve the formula for

More information

MTH 112 Practice Test 3 Sections 3.3, 3.4, 3.5, 1.9, 7.4, 7.5, 8.1, 8.2

MTH 112 Practice Test 3 Sections 3.3, 3.4, 3.5, 1.9, 7.4, 7.5, 8.1, 8.2 MTH 112 Practice Test 3 Sections 3.3, 3., 3., 1.9, 7., 7., 8.1, 8.2 Use properties of logarithms to epand the logarithmic epression as much as possible. Where possible, evaluate logarithmic epressions

More information

LESSON #42 - INVERSES OF FUNCTIONS AND FUNCTION NOTATION PART 2 COMMON CORE ALGEBRA II

LESSON #42 - INVERSES OF FUNCTIONS AND FUNCTION NOTATION PART 2 COMMON CORE ALGEBRA II LESSON #4 - INVERSES OF FUNCTIONS AND FUNCTION NOTATION PART COMMON CORE ALGEBRA II You will recall from unit 1 that in order to find the inverse of a function, ou must switch and and solve for. Also,

More information

9 (0, 3) and solve equations to earn full credit.

9 (0, 3) and solve equations to earn full credit. Math 0 Intermediate Algebra II Final Eam Review Page of Instructions: (6, ) Use our own paper for the review questions. For the final eam, show all work on the eam. (-6, ) This is an algebra class do not

More information

AP Calculus AB Summer Assignment Mrs. Berkson

AP Calculus AB Summer Assignment Mrs. Berkson AP Calculus AB Summer Assignment Mrs. Berkson The purpose of the summer assignment is to prepare ou with the necessar Pre- Calculus skills required for AP Calculus AB. Net ear we will be starting off the

More information

Final Exam Review. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Final Exam Review. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Final Eam Review Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Determine whether or not the relationship shown in the table is a function.

More information

Honors Pre-Calculus. Multiple Choice 1. An expression is given. Evaluate it at the given value

Honors Pre-Calculus. Multiple Choice 1. An expression is given. Evaluate it at the given value Honors Pre-Calculus Multiple Choice. An epression is given. Evaluate it at the given value, (A) (B) 9 (C) 9 (D) (E). Simplif the epression. (A) + (B) (C) (D) (E) 7. Simplif the epression. (A) (B) (C) (D)

More information

LESSON #42 - INVERSES OF FUNCTIONS AND FUNCTION NOTATION PART 2 COMMON CORE ALGEBRA II

LESSON #42 - INVERSES OF FUNCTIONS AND FUNCTION NOTATION PART 2 COMMON CORE ALGEBRA II LESSON #4 - INVERSES OF FUNCTIONS AND FUNCTION NOTATION PART COMMON CORE ALGEBRA II You will recall from unit 1 that in order to find the inverse of a function, ou must switch and and solve for. Also,

More information

Final Exam Review Spring a. Is this a quadratic? 2 a. Is this a quadratic? b. EXPLAIN why or why not. b. EXPLAIN why or why not!!

Final Exam Review Spring a. Is this a quadratic? 2 a. Is this a quadratic? b. EXPLAIN why or why not. b. EXPLAIN why or why not!! Final Exam Review Spring 01-013 Name Module 4 Fill in the charts below. x x -6 0 Change in 0 0 Change in -3 1 1-1 4 5 0 9 3 10 16 4 17 5 5 5 6 6 36 6 37 1 Is this a quadratic? Is this a quadratic? b. EXPLAIN

More information

Mth 95 Module 4 Chapter 8 Spring Review - Solving quadratic equations using the quadratic formula

Mth 95 Module 4 Chapter 8 Spring Review - Solving quadratic equations using the quadratic formula Mth 95 Module 4 Chapter 8 Spring 04 Review - Solving quadratic equations using the quadratic formula Write the quadratic formula. The NUMBER of REAL and COMPLEX SOLUTIONS to a quadratic equation ( a b

More information

Last modified Spring 2016

Last modified Spring 2016 Math 00 Final Review Questions In problems 6, perform the indicated operations and simplif if necessar.. 8 6 8. 7 6. ( i) ( 4 i) 4. (8 i). ( 9 i)( 7 i) 6. ( i)( i) In problems 7-, solve the following applications.

More information

Advanced Algebra 2 Final Review Packet KG Page 1 of Find the slope of the line passing through (3, -1) and (6, 4).

Advanced Algebra 2 Final Review Packet KG Page 1 of Find the slope of the line passing through (3, -1) and (6, 4). Advanced Algebra Final Review Packet KG 0 Page of 8. Evaluate (7 ) 0 when and. 7 7. Solve the equation.. Solve the equation.. Solve the equation. 6. An awards dinner costs $ plus $ for each person making

More information

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Final Eam Review MAC 1 Spring 0 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve and check the linear equation. 1) (- + ) - = -( - 7) {-

More information

[ ] 4. Math 70 Intermediate Algebra II Final Exam Review Page 1 of 19. Instructions:

[ ] 4. Math 70 Intermediate Algebra II Final Exam Review Page 1 of 19. Instructions: Math Intermediate Algebra II Final Eam Review Page of 9 Instructions: Use our own paper for the review questions. For the final eam, show all work on the eam. This is an algebra class do not guess! Write

More information

Lesson 9.1 Using the Distance Formula

Lesson 9.1 Using the Distance Formula Lesson. Using the Distance Formula. Find the eact distance between each pair of points. a. (0, 0) and (, ) b. (0, 0) and (7, ) c. (, 8) and (, ) d. (, ) and (, 7) e. (, 7) and (8, ) f. (8, ) and (, 0)

More information

REVIEW. log e. log. 3 k. x 4. log ( x+ 3) log x= ,if x 2 y. . h

REVIEW. log e. log. 3 k. x 4. log ( x+ 3) log x= ,if x 2 y. . h Math REVIEW Part I: Problems Simplif (without the use of calculators) ln log 000 e 0 k = k = k 7 log ( ) 8 lo g (log ) Solve the following equations/inequalities Check when necessar 8 =0 9 0 + = log (

More information

AP Calculus AB Summer Assignment Mrs. Berkson

AP Calculus AB Summer Assignment Mrs. Berkson AP Calculus AB Summer Assignment Mrs. Berkson The purpose of the summer assignment is to prepare ou with the necessar Pre- Calculus skills required for AP Calculus AB. Net ear we will be starting off the

More information

M122 College Algebra Review for Final Exam

M122 College Algebra Review for Final Exam M1 College Algebra Review for Final Eam Revised Fall 017 for College Algebra - Beecher All answers should include our work (this could be a written eplanation of the result, a graph with the relevant feature

More information

Chapter 8 Notes SN AA U2C8

Chapter 8 Notes SN AA U2C8 Chapter 8 Notes SN AA U2C8 Name Period Section 8-: Eploring Eponential Models Section 8-2: Properties of Eponential Functions In Chapter 7, we used properties of eponents to determine roots and some of

More information

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Final Eam Review MAC 1 Fall 011 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve and check the linear equation. 1) (- + ) - = -( - 7) A)

More information

3 Polynomial and Rational Functions

3 Polynomial and Rational Functions 3 Polnomial and Rational Functions 3.1 Quadratic Functions and Models 3.2 Polnomial Functions and Their Graphs 3.3 Dividing Polnomials 3.4 Real Zeros of Polnomials 3.5 Comple Zeros and the Fundamental

More information

Practice A ( 1, 3 ( 0, 1. Match the function with its graph. 3 x. Explain how the graph of g can be obtained from the graph of f. 5 x.

Practice A ( 1, 3 ( 0, 1. Match the function with its graph. 3 x. Explain how the graph of g can be obtained from the graph of f. 5 x. 8. Practice A For use with pages 65 7 Match the function with its graph.. f. f.. f 5. f 6. f f Lesson 8. A. B. C. (, 6) (0, ) (, ) (0, ) ( 0, ) (, ) D. E. F. (0, ) (, 6) ( 0, ) (, ) (, ) (0, ) Eplain how

More information

Name DIRECTIONS: PLEASE COMPLET E ON A SEPARATE SHEET OF PAPER. USE THE ANSWER KEY PROVIDED TO CORRECT YOUR WORK. THIS WILL BE COLLECTED!!!

Name DIRECTIONS: PLEASE COMPLET E ON A SEPARATE SHEET OF PAPER. USE THE ANSWER KEY PROVIDED TO CORRECT YOUR WORK. THIS WILL BE COLLECTED!!! FINAL EXAM REVIEW 0 PRECALCULUS Name DIRECTIONS: PLEASE COMPLET E ON A SEPARATE SHEET OF PAPER. USE THE ANSWER KEY PROVIDED TO CORRECT YOUR WORK. THIS WILL BE COLLECTED!!! State the domain of the rational

More information

Algebra 2 Semester Exam Review

Algebra 2 Semester Exam Review Algebra Semester Eam Review 7 Graph the numbers,,,, and 0 on a number line Identif the propert shown rs rs r when r and s Evaluate What is the value of k k when k? Simplif the epression 7 7 Solve the equation

More information

1. Simplify each expression and write all answers without negative exponents. for variable L.

1. Simplify each expression and write all answers without negative exponents. for variable L. MATH 0: PRACTICE FINAL Spring, 007 Chapter # :. Simplif each epression and write all answers without negative eponents. ( ab ) Ans. b 9 7a 6 Ans.. Solve each equation. 5( ) = 5 5 Ans. man solutions + 7

More information

2018 Pre-Cal Spring Semester Review Name: Per:

2018 Pre-Cal Spring Semester Review Name: Per: 08 Pre-Cal Spring Semester Review Name: Per: For # 4, find the domain of each function. USE INTERVAL NOTATION!!. 4 f ( ) 5. f ( ) 6 5. f( ) 5 4. f( ) 4 For #5-6, find the domain and range of each graph.

More information

Summary, Review, and Test

Summary, Review, and Test 944 Chapter 9 Conic Sections and Analtic Geometr 45. Use the polar equation for planetar orbits, to find the polar equation of the orbit for Mercur and Earth. Mercur: e = 0.056 and a = 36.0 * 10 6 miles

More information

Chapter 11 Exponential and Logarithmic Function

Chapter 11 Exponential and Logarithmic Function Chapter Eponential and Logarithmic Function - Page 69.. Real Eponents. a m a n a mn. (a m ) n a mn. a b m a b m m, when b 0 Graphing Calculator Eploration Page 700 Check for Understanding. The quantities

More information

math0320 FALL interactmath sections developmental mathematics sullivan 1e

math0320 FALL interactmath sections developmental mathematics sullivan 1e Eam final eam review 180 plus 234 TSI questions for intermediate algebra m032000 013014 NEW Name www.alvarezmathhelp.com math0320 FALL 201 1400 interactmath sections developmental mathematics sullivan

More information

3.1 Exponential Functions and Their Graphs

3.1 Exponential Functions and Their Graphs .1 Eponential Functions and Their Graphs Sllabus Objective: 9.1 The student will sketch the graph of a eponential, logistic, or logarithmic function. 9. The student will evaluate eponential or logarithmic

More information

2. Use your graphing calculator to graph each of the functions below over the interval 2, 2

2. Use your graphing calculator to graph each of the functions below over the interval 2, 2 MSLC Math 0 Final Eam Review Disclaimer: This should NOT be used as your only guide for what to study. if 0. Use the piece-wise defined function f( ) to answer the following: if a. Compute f(0), f(), f(-),

More information

2 nd Semester Final Exam Review Block Date

2 nd Semester Final Exam Review Block Date Algebra 1B Name nd Semester Final Eam Review Block Date Calculator NOT Allowed Graph each function. 1 (10-1) 1. (10-1). (10-1) 3. (10-1) 4. 3 Graph each function. Identif the verte, ais of smmetr, and

More information

Test # 2 Review Sections (2.4,2.5,2.6, & ch. 3) Math 1314 Name

Test # 2 Review Sections (2.4,2.5,2.6, & ch. 3) Math 1314 Name Test # Review Sections (.,.,., & ch. 3) Math 131 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Write the equation of the line. 1) -intercept,

More information

Test # 2 Review Sections (2.4,2.5,2.6, & ch. 3) Math 1314 Name

Test # 2 Review Sections (2.4,2.5,2.6, & ch. 3) Math 1314 Name Test # Review Sections (.,.,., & ch. ) Math 11 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Write the equation of the line. 1) -intercept,

More information

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. B) x y =

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. B) x y = Santa Monica College Practicing College Algebra MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Write the standard equation for the circle. 1) Center

More information

, Range: [ 4, ) c. Domain: [ 0 ) Range: (, ) d. Domain: [ 8 ) Range: [ 0, )

, Range: [ 4, ) c. Domain: [ 0 ) Range: (, ) d. Domain: [ 8 ) Range: [ 0, ) Honors Pre-Calculus Semester Review 0 Chapters to. (GC Selected Problems Onl!). Model the following situation with a linear equation in slope-intercept form. The gas tank in a truck holds gallons. The

More information

Lesson 7.1 Polynomial Degree and Finite Differences

Lesson 7.1 Polynomial Degree and Finite Differences Lesson 7.1 Polnomial Degree and Finite Differences 1. Identif the degree of each polnomial. a. 1 b. 0. 1. 3. 3 c. 0 16 0. Determine which of the epressions are polnomials. For each polnomial, state its

More information

MATH 125 MATH EXIT TEST (MET) SAMPLE (Version 4/18/08) The actual test will have 25 questions. that passes through the point (4, 2)

MATH 125 MATH EXIT TEST (MET) SAMPLE (Version 4/18/08) The actual test will have 25 questions. that passes through the point (4, 2) MATH MATH EXIT TEST (MET) SAMPLE (Version /8/08) The actual test will have questions. ) Find the slope of the line passing through the two points. (-, -) and (-, 6) A) 0 C) - D) ) Sketch the line with

More information

MATH 1710 College Algebra Final Exam Review

MATH 1710 College Algebra Final Exam Review MATH 7 College Algebra Final Eam Review MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. ) There were 80 people at a pla. The admission price was $

More information

Math 121. Practice Questions Chapters 2 and 3 Fall Find the other endpoint of the line segment that has the given endpoint and midpoint.

Math 121. Practice Questions Chapters 2 and 3 Fall Find the other endpoint of the line segment that has the given endpoint and midpoint. Math 11. Practice Questions Chapters and 3 Fall 01 1. Find the other endpoint of the line segment that has the given endpoint and midpoint. Endpoint ( 7, ), Midpoint (, ). Solution: Let (, ) denote the

More information

Math 2412 Pre Calculus TEST 2 Prep Fall 2011

Math 2412 Pre Calculus TEST 2 Prep Fall 2011 Math 41 Pre Calculus TEST Prep Fall 011 Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Find the eact value under the given conditions. 1) sin α

More information

Answer Explanations. The SAT Subject Tests. Mathematics Level 1 & 2 TO PRACTICE QUESTIONS FROM THE SAT SUBJECT TESTS STUDENT GUIDE

Answer Explanations. The SAT Subject Tests. Mathematics Level 1 & 2 TO PRACTICE QUESTIONS FROM THE SAT SUBJECT TESTS STUDENT GUIDE The SAT Subject Tests Answer Eplanations TO PRACTICE QUESTIONS FROM THE SAT SUBJECT TESTS STUDENT GUIDE Mathematics Level & Visit sat.org/stpractice to get more practice and stud tips for the Subject Test

More information

Honors Calculus Summer Preparation 2018

Honors Calculus Summer Preparation 2018 Honors Calculus Summer Preparation 08 Name: ARCHBISHOP CURLEY HIGH SCHOOL Honors Calculus Summer Preparation 08 Honors Calculus Summer Work and List of Topical Understandings In order to be a successful

More information

Find the distance between the pair of points. 2) (7, -7) and (3, -5) A) 12 3 units B) 2 5 units C) 6 units D) 12 units B) 8 C) 63 2

Find the distance between the pair of points. 2) (7, -7) and (3, -5) A) 12 3 units B) 2 5 units C) 6 units D) 12 units B) 8 C) 63 2 Sample Departmental Final - Math 9 Write the first five terms of the sequence whose general term is given. 1) a n = n 2 - n 0, 2,, 12, 20 B) 2,, 12, 20, 30 C) 0, 3, 8, 1, 2 D) 1,, 9, 1, 2 Find the distance

More information

LESSON #24 - POWER FUNCTIONS COMMON CORE ALGEBRA II

LESSON #24 - POWER FUNCTIONS COMMON CORE ALGEBRA II 1 LESSON #4 - POWER FUNCTIONS COMMON CORE ALGEBRA II Before we start to analze polnomials of degree higher than two (quadratics), we first will look at ver simple functions known as power functions. The

More information

Math 101 chapter six practice exam MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Math 101 chapter six practice exam MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Math 1 chapter si practice eam MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Which equation matches the given calculator-generated graph and description?

More information

CHAPTER 2 Polynomial and Rational Functions

CHAPTER 2 Polynomial and Rational Functions CHAPTER Polnomial and Rational Functions Section. Quadratic Functions..................... 9 Section. Polnomial Functions of Higher Degree.......... Section. Real Zeros of Polnomial Functions............

More information

Math 100 Final Exam Review

Math 100 Final Exam Review Math 0 Final Eam Review Name The problems included in this review involve the important concepts covered this semester. Work in groups of 4. If our group gets stuck on a problem, let our instructor know.

More information

Law of Sines, Law of Cosines, Heron s Formula:

Law of Sines, Law of Cosines, Heron s Formula: PreAP Math Analsis nd Semester Review Law of Sines, Law of Cosines, Heron s Formula:. Determine how man solutions the triangle has and eplain our reasoning. (FIND YOUR FLOW CHART) a. A = 4, a = 4 ards,

More information

Eam Name algebra final eam review147 aam032020181t4highschool www.alvarezmathhelp.com MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the equation.

More information

review for math TSI 182 practice aafm m

review for math TSI 182 practice aafm m Eam TSI 182 Name review for math TSI 182 practice 01704041700aafm042430m www.alvarezmathhelp.com MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Simplif.

More information

review math0410 (1-174) and math 0320 ( ) aafinm mg

review math0410 (1-174) and math 0320 ( ) aafinm mg Eam Name review math04 (1-174) and math 0320 (17-243) 03201700aafinm0424300 mg MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Simplif. 1) 7 2-3 A)

More information

Two-Year Algebra 2 A Semester Exam Review

Two-Year Algebra 2 A Semester Exam Review Semester Eam Review Two-Year Algebra A Semester Eam Review 05 06 MCPS Page Semester Eam Review Eam Formulas General Eponential Equation: y ab Eponential Growth: A t A r 0 t Eponential Decay: A t A r Continuous

More information

College Algebra Final, 7/2/10

College Algebra Final, 7/2/10 NAME College Algebra Final, 7//10 1. Factor the polnomial p() = 3 5 13 4 + 13 3 + 9 16 + 4 completel, then sketch a graph of it. Make sure to plot the - and -intercepts. (10 points) Solution: B the rational

More information

Lesson Goals. Unit 5 Exponential/Logarithmic Functions Exponential Functions (Unit 5.1) Exponential Functions. Exponential Growth: f (x) = ab x, b > 1

Lesson Goals. Unit 5 Exponential/Logarithmic Functions Exponential Functions (Unit 5.1) Exponential Functions. Exponential Growth: f (x) = ab x, b > 1 Unit 5 Eponential/Logarithmic Functions Eponential Functions Unit 5.1) William Bill) Finch Mathematics Department Denton High School Lesson Goals When ou have completed this lesson ou will: Recognize and

More information

Honors Algebra 2: Semester 1 Review

Honors Algebra 2: Semester 1 Review Name Block Date Honors Algebra : Semester 1 Review NON-CALCULATOR 6-5 1. Given the functions f ( ) 5 11 1, g( ) 6 ( f h)( ) b) ( g f )( ), and h ( ) 4, find each function. g c) (g h)( ) d) ( ) f -1, 4-7,

More information

f 0 ab a b: base f

f 0 ab a b: base f Precalculus Notes: Unit Eponential and Logarithmic Functions Sllabus Objective: 9. The student will sketch the graph of a eponential, logistic, or logarithmic function. 9. The student will evaluate eponential

More information

49) f (x) = 1 2 (x + 2)2 + 4

49) f (x) = 1 2 (x + 2)2 + 4 Algebra i FI0zp` skauetyan usxogfjtuwaxr`e_ `LsLFCL.W V earlnlz DrGi]grhYtbsd srenspe[roveeed. EOC Stud Guide Identif the verte, ais of smmetr, direction of opening, min/ma value, -intercept, and -intercepts

More information

TO THE STUDENT: To best prepare for Test 4, do all the problems on separate paper. The answers are given at the end of the review sheet.

TO THE STUDENT: To best prepare for Test 4, do all the problems on separate paper. The answers are given at the end of the review sheet. MATH TEST 4 REVIEW TO THE STUDENT: To best prepare for Test 4, do all the problems on separate paper. The answers are given at the end of the review sheet. PART NON-CALCULATOR DIRECTIONS: The problems

More information

25) x x + 30 x2 + 15x ) x Graph the equation. 30) y = - x - 1

25) x x + 30 x2 + 15x ) x Graph the equation. 30) y = - x - 1 Pre-AP Algebra Final Eam Review Solve. ) A stone is dropped from a tower that is feet high. The formula h = - t describes the stoneʹs height above the ground, h, in feet, t seconds after it was dropped.

More information

Diagnostic Tests Study Guide

Diagnostic Tests Study Guide California State Universit, Sacramento Department of Mathematics and Statistics Diagnostic Tests Stud Guide Descriptions Stud Guides Sample Tests & Answers Table of Contents: Introduction Elementar Algebra

More information

math FALL developmental mathematics sullivan 1e

math FALL developmental mathematics sullivan 1e TSIpractice eam review 1 131 180 plus 34 TSI questions for elementar and intermediate algebra m0300004301 aaa Name www.alvarezmathhelp.com math0300004301 FALL 01 100 interactmath developmental mathematics

More information

Name Class Date. Solving by Graphing and Algebraically

Name Class Date. Solving by Graphing and Algebraically Name Class Date 16-4 Nonlinear Sstems Going Deeper Essential question: How can ou solve a sstem of equations when one equation is linear and the other is quadratic? To estimate the solution to a sstem

More information

Mock Final Exam Name. Solve and check the linear equation. 1) (-8x + 8) + 1 = -7(x + 3) A) {- 30} B) {- 6} C) {30} D) {- 28}

Mock Final Exam Name. Solve and check the linear equation. 1) (-8x + 8) + 1 = -7(x + 3) A) {- 30} B) {- 6} C) {30} D) {- 28} Mock Final Exam Name Solve and check the linear equation. 1) (-8x + 8) + 1 = -7(x + 3) 1) A) {- 30} B) {- 6} C) {30} D) {- 28} First, write the value(s) that make the denominator(s) zero. Then solve the

More information

MATH 60 Review Problems for Final Exam

MATH 60 Review Problems for Final Exam MATH 60 Review Problems for Final Eam Scientific Calculators Onl - Graphing Calculators Not Allowed NO CLASS NOTES PERMITTED Evaluate the epression for the given values. m 1) m + 3 for m = 3 2) m 2 - n2

More information

a [A] +Algebra 2/Trig Final Exam Review Fall Semester x [E] None of these [C] 512 [A] [B] 1) Simplify: [D] x z [E] None of these 2) Simplify: [A]

a [A] +Algebra 2/Trig Final Exam Review Fall Semester x [E] None of these [C] 512 [A] [B] 1) Simplify: [D] x z [E] None of these 2) Simplify: [A] ) Simplif: z z z 6 6 z 6 z 6 ) Simplif: 9 9 0 ) Simplif: a a a 0 a a ) Simplif: 0 0 ) Simplif: 9 9 6) Evaluate: / 6 6 6 ) Rationalize: ) Rationalize: 6 6 0 6 9) Which of the following are polnomials? None

More information