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

Size: px
Start display at page:

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

Transcription

1 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, -intercept - = 1 + = -1 + = = 1 1) Find an equation of the line satisfing the conditions. Write the equation in slope -intercept form. ) Through (1, 9); perpendicular to = = 9 = -9 = 1 = -1 ) Match the equation with the correct graph. 3) - 9 = 7 3)

2 Find the slope and the -intercept of the line. ) - = Slope 1; -intercept (0, 1) Slope ; -intercept (0, -1) ) Slope - ; -intercept (0, 1) Slope -1; -intercept (0, -1) Refer to the following graphs to determine an appropriate response. Graph A Graph B Graph C Graph D ) Which one is the graph of =? What is itʹs domain? Graph A; (-, ) Graph B; [0, ) Graph D; [0, ) Graph C; {-, -1, 0, 1, } ) Graph the function.

3 ) ) f() = + 1, if > 0 -, if

4 7) f() = 1 ( - ) 3-7)

5 Graph the point smmetric to the given point. ) Plot (-, -9), then plot the point that is smmetric to (-, -9) with respect to the -ais. )

6 Graph the basic function using a solid line and the transformed function using a dotted line. 9) = -3 9)

7 ) = ) Solve the problem. 11) The volume of water added to a circular drum of radius r is given b Vw = 3t, where Vw is volume in cu ft and t is time in sec. Find the depth of water in a drum of radius ft after adding water for sec. (Round result to one decimal place.) 3.1 ft.9 ft 1. ft 1. ft 11) 7

8 f( + h) - f() Compute and simplif the difference quotient, h 0. h 1) f() = h 13 1) Find the domain and range of the indicated function. 13) Find the domain and range of (f - g)() when f() = - and g() = -. Domain: (-, ); range: (-, ) Domain: (-, ); range: (-, ) Domain: (-, ); range: (-, ) Domain: (-, ); range: (-, ) 13) Solve the problem. 1) Find (g f)(7) when f() = -7-3 and g() = ,7 9 1) Find the requested value. 1) Using the given tables find (f g) (9) 1) f() g() ) Using the given tables find (g f) (3) 1) 3 f() g() Perform the requested operation or operations. 17) f() = -, g() = -9 + Find (f + g)() ) Give all possible rational zeros for the following polnomial. 1) P() = ±1, ±7, ±1/ ±1, ±1/, ±7, ±7/, ±1/7, ±1/1 ±1, ±1/, ±7, ±/7, ±1/1 ±1, ±1/7, ±, ±/7, ±7, ±1 1)

9 Find a polnomial of degree 3 with real coefficients that satisfies the given conditions. 19) Zeros of 1, -, 3 and P() = 0 P() = P() = P() = P() = ) Use Descartesʹ Rule of Signs to determine the possible number of positive real zeros and the possible number of negative real zeros for the function. 0) = 0 0) Positive (1, 0), negative (1, 0) Positive (1, 0), negative () Positive (0), negative (, 1) Positive (, 0), negative (1) Find the zeros of the polnomial function and state the multiplicit of each. 1) ( + )( - 1) Multiplicit 1 : 0 Multiplicit 1 : 0 Multiplicit 1 : - Multiplicit 1 : - Multiplicit 1 : ± Multiplicit : ± Multiplicit 1 : 0 Multiplicit 1 : Multiplicit : ± Multiplicit 1 : 0 Multiplicit 1 : - Multiplicit : - 1 1) Factor f() into linear factors given that k is a zero of f(). ) f() = ; k = -7 (multiplicit ) f() = ( -7 )( - 3)( + 3) f() = ( + 7)( - 3)( + 3) f() = ( -7) ( + 7) ( - 3)( + 3) f() = ( + 7)( - 3)( + 3) ) Find the correct end behavior diagram for the given polnomial function. 3) P() = ) 9

10 Match the equation to the correct graph. ) = - 1 ( + ) - ) Find the domain and range of the function. ) f() = ( + 1) + 7 Domain: (-, ); range: (-7, ) Domain: (7, ); range: (-, ) Domain: (-, ); range: [7, ) Domain: (-7, ); range: (-, ) ) Solve the problem. ) The pitch P of a musical tone varies inversel as its wavelength W. One tone has a pitch of 3 vibrations per second and a wavelength of 1.9 ft. Find the wavelength of another tone that has a pitch of 7 vibrations per second ft ft 0.07 ft 1. ft )

11 Given the equation or other information for a parabola, find the matching description or graph. 7) f() = a + b + c, a < 0; b - ac > )

12 Sketch the graph of the rational function. ( - 3) ) f() = ( + ) ) Identif the verte of the parabola. 9) = (3, -1) (-1, 3) (1, -3) (-3, 1) 9) Find the horizontal asmptote of the given function. 30) h() = None = /9 = 9/ = 0 30) 1

13 Solve the problem. 31) A ball is thrown downward from a window in a tall building. Its position at time t in seconds is s = 1t + 3t, where s is in feet. How long (to the nearest tenth) will it take the ball to fall 90 feet? 1. sec 1. sec. sec. sec 31) 3) If s varies directl as t, and s = 3 when t = 3, find s when t is ) Use snthetic division to decide whether the given number is a zero of the given polnomial. 33) 7i; f() = Yes No 33) Find the zeros of the polnomial function and state the multiplicit of each. 3) ( - 7) ( - 1) Multiplicit 1 : 0 Multiplicit 1 : ± Multiplicit : 7 Multiplicit 1 : ± Multiplicit : 7 Multiplicit 1 : 0 Multiplicit : ± Multiplicit : -7 Multiplicit 1 : 0 Multiplicit : - 1 Multiplicit : 7 3) Answer the question. 3) Find a quadratic function f having -intercepts 3 and - and -intercept - f() = + - f() = + - f() = + - f() = ) Give all possible rational zeros for the following polnomial. 3) P() = ±1, ±1/3, ±1/9, ±1/7, ±3 ±1, ±3, ±9, ±7 ±1, ±3, ±, ±9, ±7 ±1, ±1/3, ±3, ±9, ±7 3) Use the remainder theorem and snthetic division to find f(k). 37) k = ; f() = ) Graph the function. 13

14 3) f() = 3) Solve the problem. 39) The period of vibration P for a pendulum varies directl as the square root of the length L. If the period of vibration is 3. sec when the length is 9 inches, what is the period when L =. inches?. sec 0.7 sec 3.7 sec. sec 39) 1

15 Find an equation for the rational function graph. 0) 0) f() = + ( + 3) f() = + 3 ( + ) f() = ( + ) + 3 f() = ( + 3) + 1

16 Answer Ke Testname: TEST # REVIEW MATH 131 1) C ) A 3) A ) B ) C ) C 7) B ) C 9) D ) D 11) C 1) D 13) A 1) C 1) C 1) D 17) C 1) B 19) A 0) D 1) B ) B 3) C ) A ) C ) D 7) B ) A 9) D 30) B 31) A 3) B 33) A 3) A 3) B 3) D 37) D 3) A 39) B 0) B 1

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

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

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 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

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

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

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. 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

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

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

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

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 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

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 111 Lecture Notes

Math 111 Lecture Notes A rational function is of the form R() = p() q() where p and q are polnomial functions. The zeros of a rational function are the values of for which p() = 0, as the function s value is zero where the value

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

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

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

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

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 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

Math 155 Intermediate Algebra Practice Exam on Chapters 6 & 8 Name

Math 155 Intermediate Algebra Practice Exam on Chapters 6 & 8 Name Math 155 Intermediate Algebra Practice Eam on Chapters 6 & 8 Name Find the function value, provided it eists. 1) f() = 7-8 8 ; f(-3) Simplify by removing a factor equal to 1. ) 5 + 0 + 3) m - m - m Find

More information

Homework 1 Due: Name. List the intercepts of the graph. 1) List the intercepts for the graph of the equation. 2) y2 = x + 1 2) 3) x2 + y - 9 = 0 3)

Homework 1 Due: Name. List the intercepts of the graph. 1) List the intercepts for the graph of the equation. 2) y2 = x + 1 2) 3) x2 + y - 9 = 0 3) Berkele Cit College Homework 1 Due: Precalculus w/ Analtic Geometr - Math 2 - Chapters 1-2 (half) Name List the intercepts of the graph. 1) 1) - - - - Objective: (1.2) Find Intercepts from a Graph List

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

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

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

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

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 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

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 College Algebra Review for Test 2

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

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

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

MATH 035 and MATH 043 REVIEW for FINAL EXAM

MATH 035 and MATH 043 REVIEW for FINAL EXAM MATH 03 and MATH 043 REVIEW for FINAL EXAM MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) Solve and graph: -20 8x - 4 and 2x + 7 < 11 1) (-2,

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

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 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

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

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 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 1101 Test 2 Practice Problems

Math 1101 Test 2 Practice Problems Math 1101 Test 2 Practice Problems These problems are not intended to cover all possible test topics. These problems should serve as on activity in preparing for your test, but other study is required

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. D) D: (-, 0) (0, )

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. D) D: (-, 0) (0, ) Midterm Practice Test MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the domain and graph the function. ) G(t) = t - 3 ) 3 - -3 - - 3 - - -3

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

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

C H A P T E R 3 Polynomial Functions

C H A P T E R 3 Polynomial Functions C H A P T E R Polnomial Functions Section. Quadratic Functions and Models............. 9 Section. Polnomial Functions of Higher Degree......... Section. Polnomial and Snthetic Division............ 8 Section.

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

Section 2.5: Graphs of Functions

Section 2.5: Graphs of Functions Section.5: Graphs of Functions Objectives Upon completion of this lesson, ou will be able to: Sketch the graph of a piecewise function containing an of the librar functions. o Polnomial functions of degree

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

College Algebra and College Algebra with Review Final Review

College Algebra and College Algebra with Review Final Review The final exam comprises 30 questions. Each of the 20 multiple choice questions is worth 3 points and each of the 10 open-ended questions is worth 4 points. Instructions for the Actual Final Exam: Work

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

( ), slope = 4 ( ) ( ) ( ) ( ) ( ) 2 x 1 ) y = 4( x 1) PreCalculus Basics Homework Answer Key. 4-1 Free Response. 9. ( 3, 0) parallel to 4x 3y = 0

( ), slope = 4 ( ) ( ) ( ) ( ) ( ) 2 x 1 ) y = 4( x 1) PreCalculus Basics Homework Answer Key. 4-1 Free Response. 9. ( 3, 0) parallel to 4x 3y = 0 PreCalculus Basics Homework Answer Ke 4-1 Free Response 1. ( 1, 1), slope = 1 2 3. 1, 0 +1= 1 ( 2 x 1 ), slope = 4 0 = 4( x 1) = 4( x 1) 5. ( 1, 1) and ( 3, 5) m = 5 1 3 1 = 2 1 = 2 x 1 or 5 = 2 x 3 7.

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

CHAPTER 3 Polynomial Functions

CHAPTER 3 Polynomial Functions CHAPTER Polnomial Functions Section. Quadratic Functions and Models............. 7 Section. Polnomial Functions of Higher Degree......... 7 Section. Polnomial and Snthetic Division............ Section.

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

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

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

2 If ax + bx + c = 0, then x = b) What are the x-intercepts of the graph or the real roots of f(x)? Round to 4 decimal places.

2 If ax + bx + c = 0, then x = b) What are the x-intercepts of the graph or the real roots of f(x)? Round to 4 decimal places. Quadratic Formula - Key Background: So far in this course we have solved quadratic equations by the square root method and the factoring method. Each of these methods has its strengths and limitations.

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

Divide and simplify. Assume that all variables are positive. Rationalize the denominator of the expression if necessary. pg.

Divide and simplify. Assume that all variables are positive. Rationalize the denominator of the expression if necessary. pg. Spring 011 Final Exam Review Show all work and answers on SEPARATE PAPER The review for the final must be completed b the date of the original final exam in order to be eligible for a reassessment in the

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

Summary, Review, and Test

Summary, Review, and Test Summar, Review, and Test 79 56. Galileo s telescope brought about revolutionar changes in astronom. A comparable leap in our abilit to observe the universe took place as a result of the Hubble Space Telescope.

More information

17) y = log 4. 19) y = ) y = 23) f (x) = x 5 x 4 + 3x 3 3x 2 6x + 1. k = 0

17) y = log 4. 19) y = ) y = 23) f (x) = x 5 x 4 + 3x 3 3x 2 6x + 1. k = 0 Precalculus Assignment Evaluate each expression. Name ID: 1 Date Period 1) log 1 ) log 3) log 3 1 ) log 7 7 ) log 1 Expand each logarithm. ) ln (x ) 7) log (u v w ) ) log 9 (x z ) Condense each expression

More information

Lesson 7.1 Polynomial Degree and Finite Differences

Lesson 7.1 Polynomial Degree and Finite Differences Lesson 7.1 Polynomial Degree and Finite Differences 1. Identify the degree of each polynomial. a. 1 b. 0.2 1. 2 3.2 3 c. 20 16 2 20 2. Determine which of the epressions are polynomials. For each polynomial,

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

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

Math 141 Review for Midterm

Math 141 Review for Midterm Math 141 Review for Midterm There will be two parts to this test. Part 1 will have graph sketching, and no calculator is allowed. Part will have everthing else, and a calculator and/or graphing calculator

More information

b g if f x x x x x x

b g if f x x x x x x 1. Find the product, if possible. AB, if A = 0 1, 4 1 0 4 4 3 15 B = 1 4 0 1 4 1 16 6 1 4 1 0 4 7 0 0 16 0 1 0 0 4 3 4 15. Find the equation of the parabola with vertex at the origin that passes through

More information

Final Exam A Name. 20 i C) Solve the equation by factoring. 4) x2 = x + 30 A) {-5, 6} B) {5, 6} C) {1, 30} D) {-5, -6} -9 ± i 3 14

Final Exam A Name. 20 i C) Solve the equation by factoring. 4) x2 = x + 30 A) {-5, 6} B) {5, 6} C) {1, 30} D) {-5, -6} -9 ± i 3 14 Final Exam A Name First, write the value(s) that make the denominator(s) zero. Then solve the equation. 1 1) x + 3 + 5 x - 3 = 30 (x + 3)(x - 3) 1) A) x -3, 3; B) x -3, 3; {4} C) No restrictions; {3} D)

More information

Sample Questions to the Final Exam in Math 1111 Chapter 2 Section 2.1: Basics of Functions and Their Graphs

Sample Questions to the Final Exam in Math 1111 Chapter 2 Section 2.1: Basics of Functions and Their Graphs Sample Questions to the Final Eam in Math 1111 Chapter Section.1: Basics of Functions and Their Graphs 1. Find the range of the function: y 16. a.[-4,4] b.(, 4],[4, ) c.[0, ) d.(, ) e.. Find the domain

More information

1. Find the domain of the following functions. Write your answer using interval notation. (9 pts.)

1. Find the domain of the following functions. Write your answer using interval notation. (9 pts.) MATH- Sample Eam Spring 7. Find the domain of the following functions. Write your answer using interval notation. (9 pts.) a. 9 f ( ) b. g ( ) 9 8 8. Write the equation of the circle in standard form given

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

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

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

Review Topics. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Review Topics MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. On the real number line, label the points with the given coordinates. 1) 11,- 11 1)

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

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

AP Calculus Summer Homework MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

AP Calculus Summer Homework MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. AP Calculus Summer Homework 2015-2016 Part 2 Name Score MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the distance d(p1, P2) between the points

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

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

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

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

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. x ) Midterm Review Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Decide whether or not the arrow diagram defines a function. 1) Domain Range 1) Determine

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

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

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

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

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

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

Lesson 4.1 Exercises, pages

Lesson 4.1 Exercises, pages Lesson 4.1 Eercises, pages 57 61 When approimating answers, round to the nearest tenth. A 4. Identify the y-intercept of the graph of each quadratic function. a) y = - 1 + 5-1 b) y = 3-14 + 5 Use mental

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

Use the slope-intercept form to graph the equation. 8) 6x + y = 0

Use the slope-intercept form to graph the equation. 8) 6x + y = 0 03 Review Solve the inequalit. Graph the solution set and write it in interval notation. 1) -2(4-9) < - + 2 Use the slope-intercept form to graph the equation. 8) 6 + = 0 Objective: (2.8) Solve Linear

More information

1.1 Find the measures of two angles, one positive and one negative, that are coterminal with the given angle. 1) 162

1.1 Find the measures of two angles, one positive and one negative, that are coterminal with the given angle. 1) 162 Math 00 Midterm Review Dugopolski Trigonometr Edition, Chapter and. Find the measures of two angles, one positive and one negative, that are coterminal with the given angle. ) ) - ) For the given angle,

More information

Final Exam C Name i D) 2. Solve the equation by factoring. 4) x2 = x + 72 A) {1, 72} B) {-8, 9} C) {-8, -9} D) {8, 9} 9 ± i

Final Exam C Name i D) 2. Solve the equation by factoring. 4) x2 = x + 72 A) {1, 72} B) {-8, 9} C) {-8, -9} D) {8, 9} 9 ± i Final Exam C Name First, write the value(s) that make the denominator(s) zero. Then solve the equation. 7 ) x + + 3 x - = 6 (x + )(x - ) ) A) No restrictions; {} B) x -, ; C) x -; {} D) x -, ; {2} Add

More information

Math 111 Final Exam Review KEY

Math 111 Final Exam Review KEY Math Final Eam Review KEY. Use the graph of = f in Figure to answer the following. Approimate where necessar. a Evaluate f. f = 0 b Evaluate f0. f0 = 6 c Solve f = 0. =, =, =,or = 3 d Solve f = 7..5, 0.5,

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

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 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

Math Departmental Exit Assessment Review (Student Version)

Math Departmental Exit Assessment Review (Student Version) Math 03 - Departmental Eit Assessment Review (Student Version) Factor completel. (Factoring Review) ) 6-6 - 0 ) 3-343 3) 3 - + 8-40 4) - 36 ) + - 6 + 9 + 8 - + + Add or subtract as indicated. Simplif completel.

More information