HCC-SE MATH DEPT. 1 Revised Fall 2008

Size: px
Start display at page:

Download "HCC-SE MATH DEPT. 1 Revised Fall 2008"

Transcription

1 FINAL EXAM REVIEW ITEMS Math : College Algebra Find the -intercepts and an -intercepts. ) f() = ) = Name ) Select the equation that describes the graph. Solve the equation and epress the solution in eact form. ) log ( + ) - log ( - ) = log ) Find (f - g)(-7) when f() = + + and g() = Solve the nonlinear sstem of equations. ) + = - = -0 Decide whether the relation defines a function. ) A) = ( - ) - B) = ( - ) + C) = ( + ) - D) = ( + ) + 9) Find the distance between the points, and find the midpoint of the line joining them. (-, -) and (, ) ) Use factoring to solve the equation: + = 0 Find the indicated composite for the pair of functions. ) (g f)(): f() = - + 9, g() = + Find an vertical asmptotes. ) f() = - + Evaluate the logarithm. 7) log 9 Solve the inequalit. Give the solution set in interval form. ) 7-9 < 7 7 HCC-SE MATH DEPT. Revised Fall 00

2 Find an vertical asmptotes. - 7 ) f() = + ) A rectangular Persian carpet has a perimeter of 0 inches. The length of the carpet is in. more than the width. What are the dimensions of the carpet? Decide whether or not the functions are inverses of each other. + ) f() =, g() = + 7) How man real zeros does this graph have? Write an equivalent epression in eponential form. ) log = - Give the domain and range for the rational function. Use interval notation. 9) f() = + 0) Find the equation of the parabola A) = - + B) = + + C) = - - D) = + - ) Find g( + h) - g() when g() = - ) John owns a hotdog stand. His profit is represented b the equation P() = , with P being profits and the number of hotdogs sold. What is the most he can earn? ) Find f + g - if f() = - and g() = -9 + Write the epression as a sum, difference, or product of logarithms. Assume that all variables represent positive real numbers. ) log 9m Find the horizontal asmptote of the given function. ) f() = + - Find the requested value. ) f(-) for f() =, if - -, if > -

3 Use the remainder theorem and snthetic division to find f(k). 7) k = ; f() = ) log = Give all possible rational zeros for the following polnomial. Solve. ) P() = ) + - = - 9) Find the domain (D) and the range (R) for the function. Use snthetic division to perform the division. ) Find the zeros of the polnomial function and state the multiplicit of each. ) ( - 7) ( - ) 7) Which of the following choices describes a linear function whose graph has a slope of? A) = + 9 B) = C) + = 0 D) f() = - + ) ( + )/ + ( + )/ - 0 = 0 Perform the requested operation or operations. 0) f() = -, g() = -9 + Find (f + g)(). Graph the polnomial function. ) f() = -( + )( + ) Give all solutions of the cubic equation. ) - = 0 Evaluate the determinant. - 9) If f is one-to-one, find an equation for its inverse. 0) f() = -7 + Find the slope of the line satisfing the given conditions. ) (, -) and (-9, -) Find a polnomial of lowest degree with onl real coefficients and having the given zeros. ) 9, -, and + i A) f() = B) f() = C)f() = D) f() =

4 Solve the quadratic inequalit. Write the solution set in interval notation. ) - Factor f() into linear factors given that k is a zero of f(). ) f() = ; k = ) + + = 0 ) The length of a rectangular frame is cm more than the width. The area inside the frame is square cm. Find the width of the frame. Find all rational zeros and factor f(). 7) f() = Solve and graph the inequalit. Give answer in interval notation. ) + < Decide whether or not the functions are inverses of each other. 9) f() = -, g() = + Find the domain and range of the function. 0) = ( + ) + Graph the function. ) f() = 0 Find the matching description. ) f() = ( + ) A) Verte -, 0 ; opens upward B) Verte 0, - ; opens downward C)Verte, 0 ; opens upward D) Verte 0, ; opens downward Find the determinant of the given matri. ) - Solve the following equation for. ) - = 7 Use the product, quotient, and power rules of logarithms to rewrite the epression as a single logarithm. Assume that all variables represent positive real numbers. ) loga q - loga r Use the factor theorem to decide whether or not the second polnomial is a factor of the first. ) ; + A) Yes B) No Solve the sstem b substitution. 7) + 7 = = - Solve the sstem b elimination. ) + = - + = 0 Solve and graph the inequalit. Give answer in interval notation. 9) - < Use snthetic division to decide whether the given number is a zero of the given polnomial. 0) ; f() = + + -

5 If f is one-to-one, find an equation for its inverse. ) f() = - 7 Evaluate the logarithm. ) log + ) = 9 - ) A boat is 9 feet from the base of cliff. If the distance from the top of the cliff to the boat is feet less than twice the height of the cliff to the water. Find the height of the cliff. Round to the nearest tenth of a foot if necessar. ) Two cars leave an intersection. One car travels north; the other east. When the car traveling north had gone mi, the distance between the cars was mi more than the distance traveled b the car heading east. How far had the east bound car traveled? ) + - = 7) ( + ) - ( + ) + = 0 Sketch the graph of the rational function. 7) f() = ( - )( + ) Find the center and radius of the circle. 7) = 0 Use the intermediate value theorem to show that the polnomial has a real zero between the given values of a and b. 7) a = - and b = - f() = Use the product, quotient, and power rules of logarithms to rewrite the epression as a single logarithm. Assume that all variables represent positive real numbers. 7) log ( - ) + log ( - 7) Solve the quadratic inequalit. Write the solution set in interval notation. ) Give the domain and range of the relation. 9) = + Find the center-radius form of the equation of a circle. 70) center (, 0), radius For the polnomial, one zero is given. Find all others. 7) P() = ;

6 Answer Ke Testname: FINALREVIEW ) -intercept (0, -0), -intercepts (-, 0) and, 0 ) {-} ) ) 07 ) {(, ), (-, ), (, ), (-, )} ) Function 7) - ) A 9) ; (-, -) 0) -, ± i ) ) None ) -, 9 ) = 0, = ) Width: in.; length: 9 in. ) No 7) four ) - = 9) Domain: (-, -) (-, ); Range: (-, 0) (0, ) 0) A ) h-h ) $7 ) 7 ) log 9 + logm - log ) = ) - 7) ) {} 9) D: (-, ) (, ) R: (-, ) (, ) 0) - + ) ) {, - ± i } ) ±, ±/, ±, ±9, ±7 ) - ) ) Multiplicit : 0 Multiplicit : ± Multiplicit : 7 7) A ) {-7, } 9) -7 0) f-() = ) ) A ) [-, ] ) ( - )( - )( + ) ) ) cm - ± 7), -, ; f() = ( - )( + )( - ) ) (-, -7) ) No 0) Domain: (-, ); Range: [, ) ) ) A ) -7 ) {-} ) loga q r ) B 7) {(, -)} ) -, 9) [-, ) ) No ) f-() = + 7 ) ) ) 9 feet ) 0 mi ) {-} 7) {-, -, -, -} ) (-, ] [7, ) 9) D = [-, ); R = [0, ) 70) ( - ) + = 7) + i, - i HCC-SE MATH DEPT. Revised Fall 00

7 Answer Ke Testname: FINALREVIEW 7) ) (, ); r = 7 7) f(a) = - and f(b) = 7) log ( - )( - 7) 7

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

(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

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

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

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

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

Math 1050 REVIEW for Exam 1. Use synthetic division to find the quotient and the remainder. 1) x3 - x2 + 6 is divided by x + 2

Math 1050 REVIEW for Exam 1. Use synthetic division to find the quotient and the remainder. 1) x3 - x2 + 6 is divided by x + 2 Math 0 REVIEW for Eam 1 Use snthetic division to find the quotient and the remainder. 1) 3-2 + 6 is divided b + 2 Use snthetic division to determine whether - c is a factor of the given polnomial. 2) 3-32

More information

College Algebra ~ Review for Test 2 Sections

College Algebra ~ Review for Test 2 Sections College Algebra ~ Review for Test Sections. -. Find a point-slope form for the equation of the line satisfing the conditions. ) a) Slope -, passing through (7, ) b) Passing through (-, -8) and (-, ) Write

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

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

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

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

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

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

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

Math 030 Review for Final Exam Revised Fall 2010 RH/ DM 1

Math 030 Review for Final Exam Revised Fall 2010 RH/ DM 1 Math 00 Review for Final Eam Revised Fall 010 RH/ DM 1 1. Solve the equations: (-1) (7) (-) (-1) () 1 1 1 1 f. 1 g. h. 1 11 i. 9. Solve the following equations for the given variable: 1 Solve for. D ab

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

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

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

y x+ 2. A rectangular frame for a painting has a perimeter of 82 inches. If the length of the frame is 25 inches, find the width of the frame.

y x+ 2. A rectangular frame for a painting has a perimeter of 82 inches. If the length of the frame is 25 inches, find the width of the frame. . Simplif the complex fraction x 4 4 x. x 4 x x 4 x x 4 x x 4 x x E) 4 x. A rectangular frame for a painting has a perimeter of 8 inches. If the length of the frame is inches, find the width of the frame.

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

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

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

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

FALL 2013 COLLEGE ALGEBRA REVIEW FOR TEST 1

FALL 2013 COLLEGE ALGEBRA REVIEW FOR TEST 1 FALL 013 COLLEGE ALGEBRA REVIEW FOR TEST 1 Find the distance in the -plane between the two points. Give an eact answer, then give an approimation rounded to two decimal places. 1) (-, ) and (, -) Find

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

Math 1101 Chapter 3 Review. 1) f(x) = 2x2 + 2x - 4 A) Concave up B) Concave down. 2) f(x) = -2x2-2x + 2 A) Minimum B) Maximum. 3) f(x) = 0.

Math 1101 Chapter 3 Review. 1) f(x) = 2x2 + 2x - 4 A) Concave up B) Concave down. 2) f(x) = -2x2-2x + 2 A) Minimum B) Maximum. 3) f(x) = 0. Math 11 Chapter 3 Review Determine if the graph of the function is concave up or concave down. 1) f() = + - Concave up B) Concave down Determine if the verte of the graph is a maimum point or a minimum

More information

Mth Quadratic functions and quadratic equations

Mth Quadratic functions and quadratic equations Mth 0 - Quadratic functions and quadratic equations Name Find the product. 1) 8a3(2a3 + 2 + 12a) 2) ( + 4)( + 6) 3) (3p - 1)(9p2 + 3p + 1) 4) (32 + 4-4)(2-3 + 3) ) (4a - 7)2 Factor completel. 6) 92-4 7)

More information

Math Intermediate Algebra

Math Intermediate Algebra Math 095 - Intermediate Algebra Final Eam Review Objective 1: Determine whether a relation is a function. Given a graphical, tabular, or algebraic representation for a function, evaluate the function and

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

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

C) x m A) 260 sq. m B) 26 sq. m C) 40 sq. m D) 364 sq. m. 7) x x - (6x + 24) = -4 A) 0 B) all real numbers C) 4 D) no solution

C) x m A) 260 sq. m B) 26 sq. m C) 40 sq. m D) 364 sq. m. 7) x x - (6x + 24) = -4 A) 0 B) all real numbers C) 4 D) no solution Sample Departmental Final - Math 46 Perform the indicated operation. Simplif if possible. 1) 7 - - 2-2 + 3 2 - A) + - 2 B) - + 4-2 C) + 4-2 D) - + - 2 Solve the problem. 2) The sum of a number and its

More information

Math 115 Spring Break Homework Package Name. . List all

Math 115 Spring Break Homework Package Name. . List all Math Spring Break Homework Package Name Show all work neatl and sstematicall for full credit. Total points: 00 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the

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

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

C) C) 5 D) 13

C) C) 5 D) 13 MATH 03 FINAL EXAM REVIEW Simplif. 1) 8-4 2 72 + 62 16 8 4 13-8 13-8 8 Solve. 2) + 2 = 9 1 2 4 13 3) 4 = a -9-6 -1-36 - 4) -4.0 = b 13 8.0-8.0 7.0-3.00 ) 1 f - = 1-12 12-30 30 6) 2-1 3 = -7-10 7 10 7)

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

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

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

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. Practice Test 1-0312-Chap. 2.4,2.7, 3.1-3.6,4.1,.4,. Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Write an inequalit statement involving the

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

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

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

MATH 111 Departmental Midterm Exam Review Exam date: Tuesday, March 1 st. Exam will cover sections and will be NON-CALCULATOR EXAM.

MATH 111 Departmental Midterm Exam Review Exam date: Tuesday, March 1 st. Exam will cover sections and will be NON-CALCULATOR EXAM. MATH Departmental Midterm Eam Review Eam date: Tuesday, March st Eam will cover sections -9 + - and will be NON-CALCULATOR EXAM Terms to know: quadratic function, ais of symmetry, verte, minimum/maimum

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

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

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. Math 03 C-Fair College Departmental Final Eamination Review SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Graph the linear equation b the method of

More information

10.4 Nonlinear Inequalities and Systems of Inequalities. OBJECTIVES 1 Graph a Nonlinear Inequality. 2 Graph a System of Nonlinear Inequalities.

10.4 Nonlinear Inequalities and Systems of Inequalities. OBJECTIVES 1 Graph a Nonlinear Inequality. 2 Graph a System of Nonlinear Inequalities. Section 0. Nonlinear Inequalities and Sstems of Inequalities 6 CONCEPT EXTENSIONS For the eercises below, see the Concept Check in this section.. Without graphing, how can ou tell that the graph 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

Algebra 2 End of Year Practice Exam Specification Sheet

Algebra 2 End of Year Practice Exam Specification Sheet Algebra End of Year Practice Exam Specification Sheet Free Response (Vocabular, Knowledge, Concepts, Explanations). Properties of real numbers. Procedure (write procedure or process). Concept development/linkage

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

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

Polynomial and Rational Functions

Polynomial and Rational Functions Name Date Chapter Polnomial and Rational Functions Section.1 Quadratic Functions Objective: In this lesson ou learned how to sketch and analze graphs of quadratic functions. Important Vocabular Define

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

FGCU 6th Annual Math Competition 2008 Precalculus - Individual Exam

FGCU 6th Annual Math Competition 2008 Precalculus - Individual Exam FGCU 6th Annual Math Competition 008 Precalculus - Individual Eam Find the domain of the rational function. ) f() = + + 9 A) all real numbers B) { -, } C){ -,, -} D) { 0, -9} Solve the equation b epressing

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 1 Chapter 1 Practice Test Bro. Daris Howard MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) When going more than 38 miles per hour, the gas

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

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

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

Math098 Practice Final Test

Math098 Practice Final Test Math098 Practice Final Test Find an equation of the line that contains the points listed in the table. 1) 0-6 1-2 -4 3-3 4-2 Find an equation of the line. 2) 10-10 - 10 - -10 Solve. 3) 2 = 3 + 4 Find the

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

Review Exercises for Chapter 2

Review Exercises for Chapter 2 Review Eercises for Chapter 7 Review Eercises for Chapter. (a) Vertical stretch Vertical stretch and a reflection in the -ais Vertical shift two units upward (a) Horizontal shift two units to the left.

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

Mathematics 20-1 Final Exam Review. Directions: Identify the choice that best completes the statement or answers the question.

Mathematics 20-1 Final Exam Review. Directions: Identify the choice that best completes the statement or answers the question. Mathematics 0- Final Exam Review Name: ate: irections: Identif the choice that best completes the statement or answers the question.. Which of the following numbers occurs in the sequence,,, 0,,...?. 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

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

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

MA Review Worksheet for Exam 1, Summer 2016

MA Review Worksheet for Exam 1, Summer 2016 MA 15800 Review Worksheet for Eam 1, Summer 016 1) Choose which of the following relations represent functions and give the domain and/or range. a) {(,5), (,5), ( 1,5)} b) equation: y 4 1 y 4 (5, ) 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

REVIEW PACKET FOR END OF COURSE EXAM

REVIEW PACKET FOR END OF COURSE EXAM Math H REVIEW PACKET FOR END OF COURSE EXAM DO NOT WRITE ON PACKET! Do on binder paper, show support work. On this packet leave all fractional answers in improper fractional form (ecept where appropriate

More information

Math Departmental Exit Assessment Review (Student Version)

Math Departmental Exit Assessment Review (Student Version) Math 008 - Departmental Eit Assessment Review (Student Version) Solve the equation. (Section.) ) ( + ) - 8 = 6-80 - 0 ) + - - 7 = 0-60 - 0 ) 8 + 9 = 9 - - ) - = 60 0-0 -60 ) 0.0 + 0.0(000 - ) = 0.0 0 6000

More information

INTERMEDIATE ALGEBRA REVIEW FOR TEST 1

INTERMEDIATE ALGEBRA REVIEW FOR TEST 1 INTERMEDIATE ALGEBRA REVIEW FOR TEST 1 Write the set using the roster method. 1) a) { is a counting number less than 7} b) { is a whole number between 4 and 8} Let A = {0, 2, 4, 6, 8, }, B = {0,, 6, 9},

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

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

121D Practice Test #

121D Practice Test # D Practice Test # College Algebra / Math D GARAGE (Prof. Vasan) Student Name/ID:. Write the epression as a single logarithm. 5log 8 w + 5 log 8 3log 8 z. Solve for. log + 3 = log + 6 ALEKS D Practice Test

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 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

North Seattle Community College Computer Based Mathematics Instruction Math 102 Test Reviews

North Seattle Community College Computer Based Mathematics Instruction Math 102 Test Reviews North Seattle Community College Computer Based Mathematics Instruction Math 10 Test Reviews Click on a bookmarked heading on the left to access individual reviews. To print a review, choose print and the

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

Math 20-1 Year End Review

Math 20-1 Year End Review M0- Year End Review.docx Name: Math 0- Year End Review hapter Sequences & Series... Pages hapter Trigonometr... Pages hapters & Quadratic Functions & Equations... Pages hapter Radicals... Pages hapter

More information

Fair Game Review. Chapter 9. Find the square root(s) ± Find the side length of the square. 7. Simplify Simplify 63.

Fair Game Review. Chapter 9. Find the square root(s) ± Find the side length of the square. 7. Simplify Simplify 63. Name Date Chapter 9 Find the square root(s). Fair Game Review... 9. ±. Find the side length of the square.. s. s s Area = 9 ft s Area = 0. m 7. Simplif 0. 8. Simplif. 9. Simplif 08. 0. Simplif 88. Copright

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

For Thought. 3.1 Exercises 142 CHAPTER 3 POLYNOMIAL AND RATIONAL FUNCTIONS. 1. False, the range of y = x 2 is [0, ).

For Thought. 3.1 Exercises 142 CHAPTER 3 POLYNOMIAL AND RATIONAL FUNCTIONS. 1. False, the range of y = x 2 is [0, ). CHAPTER POLYNOMIAL AND RATIONAL FUNCTIONS For Thought. False, the range of = is [0, ).. False, the verte is the point (, ). -5 -. True. True 5. True, since b a = 6 =. 6. True, the -intercept of = ( + )

More information

Algebra 2 End of Term Final REVIEW

Algebra 2 End of Term Final REVIEW Algebra End of Term Final REVIEW DO NOT WRITE IN TEST BOOKLET. 1. Graph. a. c. x x x x. Express as a single logarithm. Simplif, if possible. a. 5 c. 3 3. The volume V of a clinder varies jointl with the

More information