Size: px
Start display at page:

Download ""

Transcription

1 Test # 33 QUESTIONS MATH COLLEGE ALGEBRA Name atfm131bli website MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the equation b factoring. 1) = 0 A) - 3, - 3, C) - 1, - 1 Objective: (1.) Solve Quadratic Equations b Factoring ALVAREZ VIDEO M0-3,,, M-1, M,9,11,1 D) 3, - Solve the equation using the quadratic formula. ) = 0 A) {-7 + 3i, -7-3i} {-7-9i, i} C) {-7 + 3i} D) {-, -} Objective: (1.) Solve Quadratic Equations Using the Quadratic Formula ALVAREZ VIDEO M0-7 Solve the radical equation, and check all proposed solutions. 3) = + A) {-7} {} C) {-} D) {7} Objective: (1.) Solve Radical Equations ALVAREZ VIDEO 9 m9-3 m0-9 math #1 math # Use the graph of the given function to find an relative maima and relative minima. ) f() = ) ) 3) ) A) maimum: (0, 1); minimum: (, -3) maimum: (0, 1); minimum: none C) maimum: none; minimum: (, -3) D) no maimum or minimum Objective: (.) Use Graphs to Locate Relative Maima or Minima ALVAREZ VIDEO 1 M9- M-1, Graph the function. 1

2 ) f() = + 1 if < 1 if 1 ) - - A) (-1, ) (-1, ) (-1, ) (-1, ) C) D) (1, ) (1, ) (1, ) (1, ) Objective: (.) Understand and Use Piecewise Functions ALVAREZ VIDEO 17 m9- m0- math # math #

3 Find and simplif the difference quotient ) f() = + + f( + h) - f(), h 0 for the given function. h A) + h h + h + h + 1 h ) C) + h + D) 1 Objective: (.) Find and Simplif a Functionʹs Difference Quotient ALVAREZ VIDEO 1 m9-7 m0-11 math # math # Begin b graphing the standard absolute value function f() =. Then use transformations of this graph to graph the given function. 7) h() = ) A) C) D) Objective: (.) Use Horizontal Shifts to Graph Functions 3

4 ALVAREZ VIDEO 1 m9- Find the domain of the function. ) f() = 1 - A) (-, 1) (1, ) (-, 3 ] C) (-, 1] D) (-, 3 ) (3, ) Objective: (.) Find the Domain of a Function ) ALVAREZ VIDEO 3 m9-9 m0-1 math #30 math #7 Given functions f and g, perform the indicated operations. 9) f() = -, g() = 9 - Find f - g. A) C) 11-1 D) 7-9) Objective: (.) Combine Functions Using the Algebra of Functions, Specifing Domains VIDEO ALVAREZ M0-13 M9- M-31 M- ) f() = 3 +, g() = + Find fg. A) C) + + D) + 1 Objective: (.) Combine Functions Using the Algebra of Functions, Specifing Domains ALVAREZ VIDEO M0-13 For the given functions f and g, find the indicated composition. 11) f() = + 3 +, g() = 3 - (g f)() A) C) D) Objective: (.) Form Composite Functions ) 11) ALVAREZ VIDEO 31 m9-1 m0-1 math #3 math #9 Find the distance between the pair of points. 1) (-1, -3) and (-7, ) A) 0 C) 11 D) 0 1) Objective: (.) Find the Distance Between Two Points ALVAREZ VIDEO 33 m9-1 m0-1 math #3 math #

5 Graph the equation. 13) = 0 13) A) Objective: (.) Convert the General Form of a Circleʹs Equation to Standard Form ALVAREZ VIDEO 3 m9-17 m0-17 math #1 m,ath #1 Use the verte and intercepts to sketch the graph of the quadratic function. 1) f() = )

6 A) C) D) Objective: (3.1) Graph Parabolas ALVAREZ VIDEO 3 M0-0 M9-19 M-3 M-13,1,1,1 Solve the problem. 1) An arrow is fired into the air with an initial velocit of 10 feet per second. The height in feet of the arrow t seconds after it was shot into the air is given b the function h() = -1t + 10t. Find the maimum height of the arrow. A) 100 ft 0 ft C) 00 ft D) 70 ft Objective: (3.1) Solve Problems Involving a Quadratic Functionʹs Minimum or Maimum Value ALVAREZ VIDEO 39 m9-0 math #,, Graph the polnomial function. 1) f() = ) 1)

7 A) C) D) Objective: (3.) Graph Polnomial Functions ALVAREZ VIDEO 3 m9- m0-3 math #0 math #1 Solve the polnomial equation. In order to obtain the first root, use snthetic division to test the possible rational roots. 17) = 0 17) A) {-, } {1 + i, 1 - i, i} C) {1 + i, 1 - i, } D) {1 + i, 1 - i, -} Objective: (3.) Solve Polnomial Equations ALVAREZ VIDEO 9 m9- m0- m-0 m-17 Find the vertical asmptotes, if an, of the graph of the rational function ) A) =, = = -, = - C) = - 9 D) =, =, = - 9 Objective: (3.) Identif Vertical Asmptotes 1) ALVAREZ VIDEO m9-7 m0- math # math #1 7

8 Find the slant asmptote, if an, of the graph of the rational function. 19) f() = A) = + = C) = + D) no slant asmptote Objective: (3.) Identif Slant Asmptotes ALVAREZ VIDEO 7 m9-30 m0- math # math #0 Find the domain of the logarithmic function. 0) f() = ln ( - ) A) (-, ) (-, ) C) (-, 0) D) (-, ) or (, ) Objective: (.) Find the Domain of a Logarithmic Function 19) 0) ALVAREZ VIDEO 3 m9-31 m0-30 math #1 math # Use properties of logarithms to epand the logarithmic epression as much as possible. Where possible, evaluate logarithmic epressions without using a calculator. 1) log 3 - ( + ) 1) A) log + log + 1 log ( - ) - log + log ( + ) 3 log + log + log ( - ) 1/3 - log - log ( + ) C) log ( 3 - ) - log (( + ) ) D) log + log + 1 log ( - ) - log - log ( + ) 3 Objective: (.3) Epand Logarithmic Epressions ALVAREZ VIDEO 7 m9-3 m0-31,3 m-,3, m-, #,3, math, Solve the equation b epressing each side as a power of the same base and then equating eponents. ) = - A) {} {} C) {37} D) {17} Objective: (.) Use Like Bases to Solve Eponential Equations ) ALVAREZ VIDEO 70 m9-33 m0-33 math # math #7 Solve the eponential equation. Use a calculator to obtain a decimal approimation, correct to two decimal places, for the solution. 3) 3 + = A) C) 1.31 D) -0.3 Objective: (.) Use Logarithms to Solve Eponential Equations ALVAREZ VIDEO 73 M0-3 M- M9-3 3)

9 Solve the logarithmic equation. Be sure to reject an value that is not in the domain of the original logarithmic epressions. Give the eact answer. ) log ( - 1) + log ( - 7) = ) A) {9, -1} {9} C) {} D) {-1} Objective: (.) Use the Definition of a Logarithm to Solve Logarithmic Equations ALVAREZ VIDEO 7 m9-37 m0-3 math #7 math #30 ) log ( + ) - log = ) A) { 1 } {} C) { 1 } D) {1 } Objective: (.) Use the Definition of a Logarithm to Solve Logarithmic Equations ALVAREZ VIDEO 7 M0-37 ) log ( + ) - log ( - ) = log 3 A) {} 3 C) {-} D) Objective: (.) Use the One-to-One Propert of Logarithms to Solve Logarithmic Equations ALVAREZ VIDEO 79 M0-37 7) ln + ln ( -1) = ln 7 A) {9, -} {-} C) 73 D) {9} Objective: (.) Use the One-to-One Propert of Logarithms to Solve Logarithmic Equations ALVAREZLAB EXPONENZ (3,) INTERACTMATH SEC. EXE ALVAERZ VIDEO 0 m9-0,1 m0-3,37,3 math #1 math #3 Solve the problem. ) Find out how long it takes a $30 investment to double if it is invested at % compounded ) 7) ) semiannuall. Round to the nearest tenth of a ear. Use the formula A = P 1 + r n nt. A). ears 9 ears C). ears D) 9. ears Objective: (.) Solve Applied Problems Involving Eponential and Logarithmic Equations ALVAREZ VIDEO 1 M0-39 9) The function A = A0e models the amount in pounds of a particular radioactive material stored in a concrete vault, where is the number of ears since the material was put into the vault. If 900 pounds of the material are placed in the vault, how much time will need to pass for onl 19 pounds to remain? A) 00 ears 0 ears C) ears D) 00 ears Objective: (.) Solve Applied Problems Involving Eponential and Logarithmic Equations ALVAREZ VIDEO 3 M0-0, M9-3 M-3 30) The population of a certain countr is growing at a rate of.1% per ear. How long will it take for this countrʹs population to double? Use the formula t = ln, which gives the time, t, for a k population with growth rate k, to double. (Round to the nearest whole ear.) A) 33 ears 3 ears C) 3 ears D) 3 ears Objective: (.) Solve Applied Problems Involving Eponential and Logarithmic Equations 9) 30) ALVAREZ VIDEO m9- m0-3 math #7 math #37 9

10 Solve the sstem of equations. 31) + + z = - + z = z = 1 A) {(, -1, 1)} {(-1,, 1)} C) {(1,, -1)} D) {(1, -1, )} Objective: (.) Solve Sstems of Linear Equations in Three Variables ALVAREZ VIDEO 9 m9- m0- math #91 math #3 Find the indicated sum. 3) (i + ) i = 3 A) C) D) 30 Objective: (.1) Use Summation Notation ALVAREZ VIDEO 9 m9-7 m0- math #9 math #39 Write the first three terms in the binomial epansion, epressing the result in simplified form. 33) ( + ) 1 A) C) D) Objective: (.) Find a Particular Term in a Binomial Epansion 31) 3) 33) ALVAREZ VIDEO 0 m9-9 m0-9 math #0,1 math #0

11 Answer Ke Testname: AATM131BLIF33 1) A ) A 3) D ) A ) D ) C 7) A ) C 9) A ) A 11) B 1) A 13) B 1) A 1) C 1) C 17) D 1) A 19) C 0) A 1) D ) B 3) A ) B ) A ) A 7) D ) A 9) A 30) A 31) B 3) B 33) B 11

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

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

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

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

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

ID: ID: ID: of 39 1/18/ :43 AM. Student: Date: Instructor: Alfredo Alvarez Course: 2017 Spring Math 1314

ID: ID: ID: of 39 1/18/ :43 AM. Student: Date: Instructor: Alfredo Alvarez Course: 2017 Spring Math 1314 1 of 39 1/18/017 10:43 AM Student: Date: Instructor: Alfredo Alvarez Course: 017 Spring Math 1314 Assignment: Practice Final 1. Graph the equation. y= x 3 ID: 1.1-11. Perform the multiplication and write

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

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

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

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

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

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

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

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

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

Instructor: Imelda Valencia Course: A3 Honors Pre Calculus

Instructor: Imelda Valencia Course: A3 Honors Pre Calculus Student: Date: Instructor: Imelda Valencia Course: A3 Honors Pre Calculus 01 017 Assignment: Summer Homework for those who will be taking FOCA 017 01 onl available until Sept. 15 1. Write the epression

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

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

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

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

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

nt and A = Pe rt to solve. 3) Find the accumulated value of an investment of $10,000 at 4% compounded semiannually for 5 years.

nt and A = Pe rt to solve. 3) Find the accumulated value of an investment of $10,000 at 4% compounded semiannually for 5 years. Exam 4 Review Approximate the number using a calculator. Round your answer to three decimal places. 1) 2 1.7 2) e -1.4 Use the compound interest formulas A = P 1 + r n nt and A = Pe rt to solve. 3) Find

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

Exam. Name. Domain: (0, ) Range: (-, ) Domain: (0, ) Range: (-, ) Domain: (-, ) Range: (0, ) Domain: (-, ) Range: (0, ) y

Exam. Name. Domain: (0, ) Range: (-, ) Domain: (0, ) Range: (-, ) Domain: (-, ) Range: (0, ) Domain: (-, ) Range: (0, ) y Eam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Graph the function and write the domain and range in interval notation. ) f () = 5 B) 0 0

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

MAT 1033C -- Martin-Gay Intermediate Algebra Chapter 8 (8.1, 8.2, 8.5, 8.6) Practice for the Exam

MAT 1033C -- Martin-Gay Intermediate Algebra Chapter 8 (8.1, 8.2, 8.5, 8.6) Practice for the Exam MAT 33C -- Martin-Ga Intermediate Algebra Chapter 8 (8.1 8. 8. 8.6) Practice for the Eam Name Date Da/Time: SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

More information

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. B) 6x + 4

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. B) 6x + 4 Math1420 Review Comprehesive Final Assessment Test Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Add or subtract as indicated. x + 5 1) x2

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

review for math TSI 55 practice aafm m

review for math TSI 55 practice aafm m Eam TSI Name review for math TSI practice 01704041700aafm042430m www.alvarezmathhelp.com MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the

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

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

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

Math RE - Calculus I Functions Page 1 of 10. Topics of Functions used in Calculus

Math RE - Calculus I Functions Page 1 of 10. Topics of Functions used in Calculus Math 0-03-RE - Calculus I Functions Page of 0 Definition of a function f() : Topics of Functions used in Calculus A function = f() is a relation between variables and such that for ever value onl one value.

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

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

MATH 0312 FINAL EXAM REVIEW ITEMS

MATH 0312 FINAL EXAM REVIEW ITEMS MATH 012 FINAL EXAM REVIEW ITEMS Name The items on this review are representative of the items that ou might see on our course final eam. No formul sheets are allowed and calculators are not allowed on

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. Identif the verte and ais of smmetr. 1 (10-1) 1. (10-1). 3 (10-) 3. 4 7 (10-) 4. 3 6 4 (10-1) 5. Predict

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

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

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

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

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

(2.5) 1. Solve the following compound inequality and graph the solution set.

(2.5) 1. Solve the following compound inequality and graph the solution set. Intermediate Algebra Practice Final Math 0 (7 th ed.) (Ch. -) (.5). Solve the following compound inequalit and graph the solution set. 0 and and > or or (.7). Solve the following absolute value inequalities.

More information

MAT 114 Fall 2015 Print Name: Departmental Final Exam - Version X

MAT 114 Fall 2015 Print Name: Departmental Final Exam - Version X MAT 114 Fall 2015 Print Name: Departmental Final Eam - Version X NON-CALCULATOR SECTION EKU ID: Instructor: Calculators are NOT allowed on this part of the final. Show work to support each answer. Full

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

FINAL EXAM REVIEW ITEMS Math 0312: Intermediate Algebra Name

FINAL EXAM REVIEW ITEMS Math 0312: Intermediate Algebra Name FINAL EXAM REVIEW ITEMS Math 0312: Intermediate Algebra Name 1) Find the SUM of the solutions of the equation. 82 + 0 = 16 Use the quadratic formula to solve the equation. (All solutions are real numbers.)

More information

ALVAREZ--VIDEO 14 ALVAREZ--VIDEO 15 ALVAREZ--VIDEO 16 ALVAREZ--VIDEO 17 ALVAREZ--VIDEO 18

ALVAREZ--VIDEO 14 ALVAREZ--VIDEO 15 ALVAREZ--VIDEO 16 ALVAREZ--VIDEO 17 ALVAREZ--VIDEO 18 PRETEST EXAM REVIEW 0 QUESTIONS 0-11-1 MATH00 Fall 01 ELEMENTARY ALGEBRA Name atfm00mk8es www.alvarezmathhelp.com website PROGRAMS ALVAREZLAB (SAVE AND EXTRACT TO YOUR COMPUTER) VIDEOS (ON DEMAND) INTERACTMATH

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

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

College Algebra ~ Review for Test 2 Sections

College Algebra ~ Review for Test 2 Sections College Algebra ~ Review for Test Sections. -. Use the given graphs of = a + b to solve the inequalit. Write the solution set in interval notation. ) - + 9 8 7 6 (, ) - - - - 6 7 8 - Solve the inequalit

More information

( ) ( ) ( )( ) Algebra II Semester 2 Practice Exam A DRAFT. = x. Which expression is equivalent to. 1. Find the solution set of. f g x? B.

( ) ( ) ( )( ) Algebra II Semester 2 Practice Exam A DRAFT. = x. Which expression is equivalent to. 1. Find the solution set of. f g x? B. Algebra II Semester Practice Eam A. Find the solution set of 5 5 +, 9 9 +, 5 5 +, =.. Let f ( ) = and g( ) =. Which epression is equivalent to f g? ( ) ( ) + ( ) 9 9 +, 5. If h( ) = 0 and j( ) h( ) + j

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

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

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

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

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

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

2. Find the value of y for which the line through A and B has the given slope m: A(-2, 3), B(4, y), 2 3

2. Find the value of y for which the line through A and B has the given slope m: A(-2, 3), B(4, y), 2 3 . Find an equation for the line that contains the points (, -) and (6, 9).. Find the value of y for which the line through A and B has the given slope m: A(-, ), B(4, y), m.. Find an equation for the line

More information

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

Name. SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. REVIEW Eam #3 : 3.2-3.6, 4.1-4.5, 5.1 Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Use the Leading Coefficient Test to determine the end behavior

More information

Math 111 Final Exam Review

Math 111 Final Exam Review Math 111 Final Eam Review With the eception of rounding irrational logarithmic epressions and problems that specif that a calculator should be used, ou should be prepared to do the entire problem without

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. Spring 0 Math 08 Eam Preparation Ch Dressler Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve the quadratic equation b the square root propert.

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

20 points Completion 20 points - Accuracy

20 points Completion 20 points - Accuracy Algebra II Final Eam REVIEW 015 Name 0 points Completion 0 points - Accurac The eam review will be graded on completion (0 points) and randoml selected problems answered correctl with accurate work shown

More information

PreCalculus Final Exam Review Revised Spring 2014

PreCalculus Final Exam Review Revised Spring 2014 PreCalculus Final Eam Review Revised Spring 0. f() is a function that generates the ordered pairs (0,0), (,) and (,-). a. If f () is an odd function, what are the coordinates of two other points found

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

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

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

Chapter 4 Page 1 of 16. Lecture Guide. Math College Algebra Chapter 4. to accompany. College Algebra by Julie Miller

Chapter 4 Page 1 of 16. Lecture Guide. Math College Algebra Chapter 4. to accompany. College Algebra by Julie Miller Chapter 4 Page 1 of 16 Lecture Guide Math 105 - College Algebra Chapter 4 to accompan College Algebra b Julie Miller Corresponding Lecture Videos can be found at Prepared b Stephen Toner & Nichole DuBal

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 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

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

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

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

Math 103 Intermediate Algebra Final Exam Review Practice Problems

Math 103 Intermediate Algebra Final Exam Review Practice Problems Math 10 Intermediate Algebra Final Eam Review Practice Problems The final eam covers Chapter, Chapter, Sections 4.1 4., Chapter 5, Sections 6.1-6.4, 6.6-6.7, Chapter 7, Chapter 8, and Chapter 9. The list

More information

MATH 175: Final Exam Review for Pre-calculus

MATH 175: Final Exam Review for Pre-calculus MATH 75: Final Eam Review for Pre-calculus In order to prepare for the final eam, you need to be able to work problems involving the following topics:. Can you find and simplify the composition of two

More information

MATH College Algebra Review for Test 2

MATH College Algebra Review for Test 2 MATH 34 - College Algebra Review for Test 2 Sections 3. and 3.2. For f (x) = x 2 + 4x + 5, give (a) the x-intercept(s), (b) the -intercept, (c) both coordinates of the vertex, and (d) the equation of the

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

2.) Find an equation for the line on the point (3, 2) and perpendicular to the line 6x - 3y = 1.

2.) Find an equation for the line on the point (3, 2) and perpendicular to the line 6x - 3y = 1. College Algebra Test File Summer 007 Eam #1 1.) Find an equation for the line that goes through the points (-5, -4) and (1, 4)..) Find an equation for the line on the point (3, ) and perpendicular to 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

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

Solutions to the Math 1051 Sample Final Exam (from Spring 2003) Page 1

Solutions to the Math 1051 Sample Final Exam (from Spring 2003) Page 1 Solutions to the Math 0 Sample Final Eam (from Spring 00) Page Part : Multiple Choice Questions. Here ou work out the problems and then select the answer that matches our answer. No partial credit is given

More information

Goal: To graph points in the Cartesian plane, identify functions by graphs and equations, use function notation

Goal: To graph points in the Cartesian plane, identify functions by graphs and equations, use function notation Section -1 Functions Goal: To graph points in the Cartesian plane, identify functions by graphs and equations, use function notation Definition: A rule that produces eactly one output for one input is

More information

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

Sample Questions. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Sample Questions MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Determine whether the equation is linear or nonlinear. 1) - = A) linear nonlinear

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

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

Solve the equation for the specified variable. Use the distributive property to factor as necessary. 2) -9s + 8p = tp - 8 for p

Solve the equation for the specified variable. Use the distributive property to factor as necessary. 2) -9s + 8p = tp - 8 for p College Readiness Math Final Eam Review Sheet Solve the equation. 1) r + 6 = r + 8 3 6 Solve the equation for the specified variable. Use the distributive propert to factor as necessar. 2) -9s + 8p = tp

More information

MATH 2 - PROBLEM SETS

MATH 2 - PROBLEM SETS MATH - PROBLEM SETS Problem Set 1: 1. Simplify and write without negative eponents or radicals: a. c d p 5 y cd b. 5p 1 y. Joe is standing at the top of a 100-foot tall building. Mike eits the building

More information

Name Date. Show all work! Exact answers only unless the problem asks for an approximation.

Name Date. Show all work! Exact answers only unless the problem asks for an approximation. Advanced Calculus & AP Calculus AB Summer Assignment Name Date Show all work! Eact answers only unless the problem asks for an approimation. These are important topics from previous courses that you must

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

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

WBHS Algebra 2 - Final Exam

WBHS Algebra 2 - Final Exam Class: _ Date: _ WBHS Algebra 2 - Final Eam Multiple Choice Identify the choice that best completes the statement or answers the question. Describe the pattern in the sequence. Find the net three terms.

More information

Algebra 2-2nd Semester Exam Review 11

Algebra 2-2nd Semester Exam Review 11 Algebra 2-2nd Semester Eam Review 11 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Determine which binomial is a factor of. a. 14 b. + 4 c. 4 d. + 8

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

, 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

Baruch College MTH 1030 Sample Final B Form 0809 PAGE 1

Baruch College MTH 1030 Sample Final B Form 0809 PAGE 1 Baruch College MTH 00 Sample Final B Form 0809 PAGE MTH 00 SAMPLE FINAL B BARUCH COLLEGE DEPARTMENT OF MATHEMATICS SPRING 00 PART I (NO PARTIAL CREDIT, NO CALCULATORS ALLOWED). ON THE FINAL EXAM, THERE

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

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

is on the graph of y = f 1 (x).

is on the graph of y = f 1 (x). Objective 2 Inverse Functions Illustrate the idea of inverse functions. f() = 2 + f() = Two one-to-one functions are inverses of each other if (f g)() = of g, and (g f)() = for all in the domain of f.

More information

Math 111 Final Exam Review KEY

Math 111 Final Exam Review KEY Math 111 Final Eam Review KEY 1. Use the graph of = f in Figure 1 to answer the following. Approimate where necessar. a b Evaluate f 1. f 1 = 0 Evaluate f0. f0 = 6 c Solve f = 0. =, = 1, =, or = 3 Solution

More information