MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 3 x 9 D) 27. y 4 D) -8x 3 y 6.
|
|
- Shauna Walker
- 5 years ago
- Views:
Transcription
1 Precalculus Review - Spring 018 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Simplify the exponential expression. Assume that variables represent nonzero real numbers. 1) (x ) x 15 1) 7 7 x 1 B) x 10 C) x 9 D) 7 x 9 ) (-x y -5 )(x -1 y) ) -8x5 y 6 B) -x y C) -8x y D) -8x y 6 ) xy 5 x y - ) 1 x 8 y 1 B) x y 8 C) 1 x 5 y 11 D) y8 x ) 1x -5 y - z xy - z - -1 ) x z 8 B) x 6 z 8 C) x6 z 8 D) x6 y 6 z 8 Use the quotient rule to simplify the expression. 5x 5) 6x 5) 6x B) x 6 C) x 6 D) x 6) 56x x x x B) 56x C) x 7x D) x 56 6) Find the product. 7) (x - 9)(x + ) 7) x - 7x - 7 B) x - 7x - 6 C) x - 6x - 6 D) x - 6x - 7 8) (x + 9)(9x + 11) 8) 18x + 10x + 10 B) 18x + 10x + 99 C) 11x + 10x + 99 D) 11x + 10x
2 9) (7x - 6)(x - ) 9) 7x 6-1x - 6x + 1 B) 7x 5-0x + 1 C) 7x 5-0x + 1 D) 7x 5-1x - 6x ) (x + 1)(x - 8) 10) x - 15x - 8 B) x - 15x - 16 C) x - 16x - 8 D) x - 8x - 15 Solve the problem. 11) Write a polynomial in standard form that represents the volume of the open box. 11) x 1 - x - x x - x + 8x B) x - x + 8 C) x + x + 8x D) x - x + 8x 1) Write a polynomial in standard form that represents the area of the shaded region. 1) x + 9 x + x + x + 1-7x - B) 7x + C) x + x + D) 17x + 1 Factor the trinomial, or state that the trinomial is prime. 1) x - 6x + 8 1) (x + )(x + 1) B) (x - )(x - ) C) (x + )(x - ) D) prime 1) x + 5x - 1) (x - 8)(x + 1) B) (x + 8)(x - ) C) (x - 8)(x + ) D) prime 15) 7x + 7x ) (7x + 9)(x + ) B) (7x + 9)(7x + ) C) (7x + )(x + 9) D) prime 16) 5x - 7xy - 18y 16) y(5x + )(x - 6) B) (5x + 6y)(x - y) C) (5x + y)(x - 6y) D) prime
3 17) 1x + 17xy + 6y 17) (x - y)(x - y) B) (1x + y)(x + y) C) (x + y)(x + y) D) prime Multiply or divide as indicated. 5x 18) 10x + 5 6x + 18) x B) C) x 10 D) x 19) 6x - x - x - 18x ) x - 6(x + ) B) 1 6 C) 1 D) 6 0) x + 1 9x x - x + x -5x - 5 0) B) - x C) - x + 1 5(x + 1) D) x + 1 5(-x - 1) 1) x + 15x + 56 x + x - 56 x - 6 x - x ) x + 7 x - 8 B) x - 8 x + 7 C) x - 8 x - 7 D) x + 8 x - 7 Add or subtract as indicated. ) x + 1 x + + x + 7 x + x + B) 1 C) D) x + 5 x + ) ) x - 9x x x - 6 ) x + B) x - 9x + 18 x - 6 C) x - D) x - 6 ) x - 1 x + - x - 0 x - x - x - 0 ) x - x - 8 B) ( x - 5)( x + ) ( x + 5)( x - 8) C) x - x - x - 0 D) x + 5 x - 8 Solve the equation by the square root property. 5) (x - 1) = 11 5) {-10, 1} B) {-6, 5} C) {-5, 6} D) {-1, 10}
4 6) (x - ) = 1 6) {-10, } B) {- ± 6} C) { ± 6} D) {-, 10} 7) (5x - 6) = 1 7) -6 -, C) {- 5, 5} D) B) - 6 5, , Solve the equation using the quadratic formula. 8) x + 10x + 5 = 0 8) C) , , B) D) ,, ) x = -10x - 1 9) C) ,, B) D) , -5 +, -5 + Solve the problem. 0) A ladder that is 1 feet long is 5 feet from the base of a wall. How far up the wall does the ladder reach? ft B) 1 ft C) 19 ft D) 1 ft 0) 1) The revenue for a small company is given by the quadratic function r(t) = 9t + 1t + 50 where t is the number of years since 1998 and r(t) is in thousands of dollars. If this trend continues, find the year after 1998 in which the company's revenue will be $60 thousand. Round to the nearest whole year. 00 B) 001 C) 00 D) 00 ) The length of a rectangular storage room is feet longer than its width. If the area of the room is 88 square feet, find its dimensions. 7 feet by 10 feet B) 7 feet by 1 feet C) 8 feet by 11 feet D) 9 feet by 1 feet 1) )
5 ) Suppose that an open box is to be made from a square sheet of cardboard by cutting out -inch squares from each corner as shown and then folding along the dotted lines. If the box is to have a volume of 6 cubic inches, find the original dimensions of the sheet of cardboard. ) in. by in. B) 6 in. by 6 in. C) in. by in. D) 11 in. by 11 in. Use graphs to find the set. ) (-8, 0) [-, 8] ) [-, 0) B) (-8, -] C) (0, 8] D) (-8, 8] 5) (-, 8) [-, 19) 5) [-, 8) B) (-, 19) C) (-, -] D) (8, 19) 6) (-, ) [-, 19) 6) (-, -] B) (-, 19) C) (, 19) D) [-, ) Solve the linear inequality. Other than, use interval notation to express the solution set and graph the solution set on a number line. 7) 7x - > 6x - 8 7) (-6, ) B) (-, -6] C) [-6, ) D) (-10, ) 5
6 8) -x + 6 -x + 8 8) (-, ] B) [, ) C) (-, ) D) (1, ) 9) -0x - -(x + ) 9) [1, ) B) (1, ) C) (-, 1] D) (-, 1) Use interval notation to represent all values of x satisfying the given conditions. 0) y1 = 8x -, y = 7x +, and y1 > y. 0) (, ) B) (6, ) C) [6, ) D) (-, 6] Solve the problem. 1) Claire has received scores of 85, 88, 87, and 80 on her algebra tests. What score must she receive on the fifth test to have an overall test score average of at least 8? 68 or greater B) 69 or greater C) 70 or greater D) 71 or greater 1) 6
7 ) Using data from , the annual number of cars sold at a certain dealership can be modeled by the formula y = x + 1, where y is the number of cars, in thousands, sold x years after According to this formula, in which years will the number of cars sold exceed 15 thousand? Years after 001 B) Years after 007 C) Years after 005 D) Years after 00 ) Solve the compound inequality. Other than, use interval notation to express the solution set and graph the solution set on a number line. ) -5 < x + 6 ) [-, 9) B) (-, 9] C) [-8, ) D) (-8, ] ) -6-5x - 1 < -1 ) (-5, -] B) (, 5] C) [-5, -) D) [, 5) Solve the problem. 5) On the first four exams, your grades are 76, 78, 7, and 77. You are hoping to earn a C in the course. This will occur if the average of your five exam grades is greater than or equal to 70 and less than 80. What range of grades on the fifth exam will result in earning a C? [6, 96) B) (6, 96] C) (6, 86] D) [6, 86) 6) On the first four exams, your grades are 76, 91, 60, and 77. There is still a final exam, and it counts as two grades. You are hoping to earn a C in the course. This will occur if the average of your six exam grades is greater than or equal to 70 and less than 80. What range of grades on the final exam will result in earning a C? [58, 88) B) [6, 96] C) [58, 88] D) [6, 96) 5) 6) 7
8 Solve the absolute value inequality. Other than, use interval notation to express the solution set and graph the solution set on a number line. 7) x - 1 < 0 7) (-, 1) B) (-1, ) C) (-1, 1) D) 8) x + < 7 8) (-, -10) (, ) B) C) (-10, ) D) [-10, ] 8
9 9) x ) (-, -1] [0, ) B) [-1, 1] C) (-1, 0) D) [-1, 0] 50) 7y + 1 < 7 50) (-, -6) (6, ) B) (-, -6) (0, ) C) (-6, 6) D) (-6, 0) Evaluate the piecewise function at the given value of the independent variable. 51) f(x) = x + if x < ; f() 51) 5x + if x 18 B) 17 C) 1 D) 0 5) h(x) = x - 7 x + 6 if x -6 ; h(-6) 5) x - if x = -6-8 B) undefined C) 8 D) - 5) f(x) = x - if x > -1 ; f(-) 5) -(x - ) if x -1 - B) 17 C) D) - Graph the function. 9
10 5) f(x) = x + 1 if x < 1 if x 1 5) B) C) D) 10
11 55) f(x) = x + if -8 x < -9 if x = -x + 7 if x > 55) B) C) D) 11
12 Based on the graph, find the range of y = f(x). if -6 x < - 56) f(x) = x if - x < 8 x if 8 x 1 56) [0, 1] B) [0, ) C) [0, 8) D) [0, 8] Find and simplify the difference quotient f(x + h) - f(x), h 0 for the given function. h 57) f(x) = x ) 6(x - 7) 0 B) + C) + -1 D) h h 58) f(x) = 9 58) B) 0 C) 1 D) 9 h 59) f(x) = x 59) (x + xh + h ) h B) C) (x+h) D) 6 h + x + h 60) f(x) = 1 5x 60) 0 B) -1 x (x + h) C) 1 5x D) -1 5x (x + h) 1
13 Solve the polynomial inequality and graph the solution set on a number line. Express the solution set in interval notation. 61) (x - 7)(x + ) > 0 61) (-, -7) (, ) B) (-, ) C) (-, -) (7, ) D) (-, 7) 6) (x + 7)(x - ) 0 6) (-, -7] [, ) B) [-7, ] C) (-, -7) (, ) D) (-7, ) 1
14 6) x - x ) (-, -] B) (-, -] [6, ) C) [6, ) D) [-, 6] 6) x + 11x ) [-6, -5] B) (-, -6] C) (-, -6] [-5, ) D) [-5, ) 1
15 65) (x + 5)(x + )(x - ) > 0 65) (-, -) B) (-5, -) (, ) C) (-, -5) (-, ) D) (, ) 66) 18x < 17x ) -, (1, ) B) (-, -1) 1 18, C) -1, 1 18 D) , 1 15
16 Solve the rational inequality and graph the solution set on a real number line. Express the solution set in interval notation. 67) x - x + 1 < 0 67) (-, -1) B) (-, -1) or (, ) C) (, ) D) (-1, ) 68) -x + x ) (, ] B) (-, ) or [, ) C) (-, ] D) [, ] 69) 15 - x 6x ) [5, ) B) - 1 6, 5 C) -, or [5, ) D) -, or [5, ) 16
17 (x + 7)(x - 5) 70) 0 70) x - 1 [-7, 1] [5, ) B) [-7, 1) [5, ) C) (-, -7] [5, ) D) (-, -7] (1, 5] 17
18 Graph the function by making a table of coordinates. 71) f(x) = x 71) B) C) D) 18
19 7) f(x) = 1 x 7) B) C) D) Write the equation in its equivalent exponential form. 7) log 5 5 = 7) 5 = 5 B) 55 = C) 5 = 5 D) 5 = 5 7) log b 6 = 7) 6 = b B) 6 b = C) b = 6 D) b = 6 19
20 Write the equation in its equivalent logarithmic form. 75) 6 = 16 75) log 6 16 = B) log 6 = 16 C) log 16 6 = D) log 16 = 6 76) 7 = x 76) log x 7 = B) log 7 x = C) log 7 = x D) log x = 7 Evaluate the expression without using a calculator. 77) log ) 1 B) 15 C) D) 1 78) log 10 10,000 78) B) 0 C) D) - 79) log ) 11 B) 1 C) 1 11 D) 1 80) log 1 80) - 1 B) 1 C) - 1 D) 1 Convert the angle in degrees to radians. Express answer as a multiple of. 81) 0 81) 6 radians B) 5 radians C) 7 radians D) 8 radians 8) ) radians B) - radians C) radians D) - 5 radians Convert the angle in radians to degrees. 8) - 8) -5 B) -5 C) - D) -1 8) 19 8) 6 10 B) 570 C) 110 D) 85 0
21 Use the Pythagorean Theorem to find the length of the missing side.then find the indicated trigonometric function of the given angle. Give an exact answer with a rational denominator. 85) Find sin. 85) 1 5 B) 1 5 C) 1 1 D) ) Find cos. 86) B) C) D) ) Find tan. 7 87) B) 7 5 C) 7 5 D) 5 7 1
22 Use the given triangles to evaluate the expression. Rationalize all denominators. 88) tan 0 88) 1 B) C) D) 89) cot 6 89) B) C) D) 1 90) tan 90) B) C) D) 91) tan 5 - sin 60 91) - 6 B) - C) - D) - 6 9) cot - cos 6 9) - 6 B) - 6 C) D) - 6 is an acute angle and sin and cos are given. Use identities to find the indicated value. 9) sin = 5 7 6, cos =. Find tan. 9) B) 7 5 C) D) ) sin = , cos = 5. Find cot. 9) B) 6 5 C) 11 5 D)
23 is an acute angle and sin is given. Use the Pythagorean identity sin + cos = 1 to find cos. 95) sin = 1 95) 15 B) C) D) Complete the identity. 1 96) sec x - sec x =? 96) 1 + cot x B) - tan x C) sin x tan x D) sec x csc x 97) sin x cos x + cos x sin x =? 97) 1 + cot x B) sin x tan x C) - tan x D) sec x csc x 98) sin x + sin x cot x =? 98) sin x + 1 B) cot x + 1 C) cot x - 1 D) 1 Find the exact value by using a sum or difference identity. 99) cos ( ) 99) - ( - 1) B) ( + 1) C) ( - 1) D) - ( + 1) Find the exact value of the expression. 100) cos 18 sin 9 - cos sin ) 1 B) C) 1 D) 1
My Math Plan Assessment #1 Study Guide
My Math Plan Assessment #1 Study Guide 1. Find the x-intercept and the y-intercept of the linear equation. 8x y = 4. Use factoring to solve the quadratic equation. x + 9x + 1 = 17. Find the difference.
More informationRemember, you may not use a calculator when you take the assessment test.
Elementary Algebra problems you can use for practice. Remember, you may not use a calculator when you take the assessment test. Use these problems to help you get up to speed. Perform the indicated operation.
More informationMath 110 Final Exam Review Revised December 2015
Math 110 Final Exam Review Revised December 2015 Factor out the GCF from each polynomial. 1) 60x - 15 2) 7x 8 y + 42x 6 3) x 9 y 5 - x 9 y 4 + x 7 y 2 - x 6 y 2 Factor each four-term polynomial by grouping.
More informationTrigonometry 1st Semester Review Packet (#2) C) 3 D) 2
Trigonometry 1st Semester Review Packet (#) Name Find the exact value of the trigonometric function. Do not use a calculator. 1) sec A) B) D) ) tan - 5 A) -1 B) - 1 D) - Find the indicated trigonometric
More informationJune Dear Future Functions/Analytic Geometry Students,
June 016 Dear Future Functions/Analytic Geometry Students, Welcome to pre-calculus! Since we have so very many topics to cover during our 016-17 school year, it is important that each one of you is able
More informationMath 110 Final Exam Review Revised October 2018
Math 110 Final Exam Review Revised October 2018 Factor out the GCF from each polynomial. 1) 60x - 15 2) 7x 8 y + 42x 6 3) x 9 y 5 - x 9 y 4 + x 7 y 2 - x 6 y 2 Factor each four-term polynomial by grouping.
More informationRELEASED. Spring 2013 North Carolina Measures of Student Learning: NC s Common Exams
Released Form Spring 013 North Carolina Measures of Student Learning: NC s Common Exams Precalculus Public Schools of North Carolina State oard of Education Department of Public Instruction Raleigh, North
More informationAlgebra 2 Honors Final Exam StudyGuide
Name: Score: 0 / 80 points (0%) Algebra 2 Honors Final Exam StudyGuide Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Simplify. 2. D Multiply the numerator
More informationMock 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 informationSummer Work for students entering PreCalculus
Summer Work for students entering PreCalculus Name Directions: The following packet represent a review of topics you learned in Algebra 1, Geometry, and Algebra 2. Complete your summer packet on separate
More informationSummer Work for students entering PreCalculus
Summer Work for students entering PreCalculus Name Directions: The following packet represent a review of topics you learned in Algebra 1, Geometry, and Algebra 2. Complete your summer packet on separate
More information2. Find the midpoint of the segment that joins the points (5, 1) and (3, 5). 6. Find an equation of the line with slope 7 that passes through (4, 1).
Math 129: Pre-Calculus Spring 2018 Practice Problems for Final Exam Name (Print): 1. Find the distance between the points (6, 2) and ( 4, 5). 2. Find the midpoint of the segment that joins the points (5,
More informationExam Review 2 nd Semester 6-1 Operations on Functions
NAME DATE PERIOD Exam Review 2 nd Semester 6-1 Operations on Functions Find (f + g)(x), (f g)(x), (f g)(x), and (x) for each f(x) and g(x). 1. f(x) = 8x 3; g(x) = 4x + 5 2. f(x) = + x 6; g(x) = x 2 If
More informationRon Paul Curriculum Mathematics 8 Lesson List
Ron Paul Curriculum Mathematics 8 Lesson List 1 Introduction 2 Algebraic Addition 3 Algebraic Subtraction 4 Algebraic Multiplication 5 Week 1 Review 6 Algebraic Division 7 Powers and Exponents 8 Order
More informationFinal Exam Review: Study Guide Math 3
Final Exam Review: Study Guide Math 3 Name: Day 1 Functions, Graphing, Regression Relation: Function: Domain: Range: Asymptote: Hole: Graphs of Functions f(x) = x f(x) = f(x) = x f(x) = x 3 Key Ideas Key
More informationAlgebra 2 Trig Final Exam Review
Name: Class: Date: Algebra Trig Final Exam Review 06-07 Multiple Choice Identify the choice that best completes the statement or answers the question.. 5 0 0 7 0 0 5 7 0 0 0 0 È 5 7 none of these. In May,
More information2018 MIDTERM EXAM REVIEW
Name: Hour: 2018 MIDTERM EXAM REVIEW PRE-CALCULUS Please keep in mind that this exam is worth 20% of your overall grade for this SEMESTER and your semester grade is averaged into your overall GPA. Schedule
More information25) 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 informationSummer Packet A Math Refresher For Students Entering IB Mathematics SL
Summer Packet A Math Refresher For Students Entering IB Mathematics SL Name: PRECALCULUS SUMMER PACKET Directions: This packet is required if you are registered for Precalculus for the upcoming school
More informationSummer Review for Students Entering AP Calculus AB
Summer Review for Students Entering AP Calculus AB Class: Date: AP Calculus AB Summer Packet Please show all work in the spaces provided The answers are provided at the end of the packet Algebraic Manipulation
More informationWhich one of the following is the solution to the equation? 1) 4(x - 2) + 6 = 2x ) A) x = 5 B) x = -6 C) x = -5 D) x = 6
Review for Final Exam Math 124A (Flatley) Name Which one of the following is the solution to the equation? 1) 4(x - 2) + 6 = 2x - 14 1) A) x = 5 B) x = -6 C) x = -5 D) x = 6 Solve the linear equation.
More informationWelcome to IB MATH SL1!
Welcome to IB MATH SL1! Congratulations! You are currently enrolled in IB Math SL1 for the Fall of 017. This is a two-semester course, which prepares you for the IB Math SL you will take in 018-019 school
More informationSHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Math 170 Final Exam Review Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Evaluate the function at the given value of the independent variable and
More informationAP 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 information8/15/2018, 8:31 PM. Assignment: Math 0410 Homework150bbbbtsiallnew123. Student: Date: Instructor: Alfredo Alvarez Course: Math 0410 Spring 2018
of 3 8/15/018, 8:31 PM Student: Date: Instructor: Alfredo Alvarez Course: Math 0410 Spring 018 Assignment: Math 0410 Homework150bbbbtsiallnew13 1. Evaluate x y for the given replacement values. x=4and
More informationTrigonometric Identities Exam Questions
Trigonometric Identities Exam Questions Name: ANSWERS January 01 January 017 Multiple Choice 1. Simplify the following expression: cos x 1 cot x a. sin x b. cos x c. cot x d. sec x. Identify a non-permissible
More informationAP 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 informationPreliminaries Lectures. Dr. Abdulla Eid. Department of Mathematics MATHS 101: Calculus I
Preliminaries 2 1 2 Lectures Department of Mathematics http://www.abdullaeid.net/maths101 MATHS 101: Calculus I (University of Bahrain) Prelim 1 / 35 Pre Calculus MATHS 101: Calculus MATHS 101 is all about
More informationCHAPTER 5: Analytic Trigonometry
) (Answers for Chapter 5: Analytic Trigonometry) A.5. CHAPTER 5: Analytic Trigonometry SECTION 5.: FUNDAMENTAL TRIGONOMETRIC IDENTITIES Left Side Right Side Type of Identity (ID) csc( x) sin x Reciprocal
More informationAlgebra 2 Khan Academy Video Correlations By SpringBoard Activity
SB Activity Activity 1 Creating Equations 1-1 Learning Targets: Create an equation in one variable from a real-world context. Solve an equation in one variable. 1-2 Learning Targets: Create equations in
More informationMath 75 Mini-Mod Due Dates Spring 2016
Mini-Mod 1 Whole Numbers Due: 4/3 1.1 Whole Numbers 1.2 Rounding 1.3 Adding Whole Numbers; Estimation 1.4 Subtracting Whole Numbers 1.5 Basic Problem Solving 1.6 Multiplying Whole Numbers 1.7 Dividing
More informationAlgebra 2 Khan Academy Video Correlations By SpringBoard Activity
SB Activity Activity 1 Creating Equations 1-1 Learning Targets: Create an equation in one variable from a real-world context. Solve an equation in one variable. 1-2 Learning Targets: Create equations in
More information1. Use the properties of exponents to simplify the following expression, writing your answer with only positive exponents.
Math120 - Precalculus. Final Review. Fall, 2011 Prepared by Dr. P. Babaali 1 Algebra 1. Use the properties of exponents to simplify the following expression, writing your answer with only positive exponents.
More informationInstructor: Kaddour Boukaabar Program: CMAP4 Parts A_B_C_D
Student: Date: Instructor: Kaddour Boukaabar Program: CMAP Parts A_B_C_D Assignment: Review For Math Assessment & Placement: Part D 1. Write as an exponential equation. log 100,000 = 10 10 = 100,000 10
More information0611a2. Algebra 2/Trigonometry Regents Exam x = 4? x 2 16
Algebra /Trigonometry Regents Exam 06 www.jmap.org 06a A doctor wants to test the effectiveness of a new drug on her patients. She separates her sample of patients into two groups and administers the drug
More informationChapter 14: Basics of Functions
Math 91 Final Exam Study Guide Name Chapter 14: Basics of Functions Find the domain and range. 1) {(5,1), (5,-4), (6,7), (3,4), (-9,-6)} Find the indicated function value. 2) Find f(3) when f(x) = x2 +
More informationMATH98 Intermediate Algebra Practice Test Form A
MATH98 Intermediate Algebra Practice Test Form A MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the equation. 1) (y - 4) - (y + ) = 3y 1) A)
More informationAlgebra 2 Honors Final Exam StudyGuide
Name: Algebra 2 Honors Final Exam StudyGuide Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Simplify. 2. 3. 4. Asume that all absolute value symbols are
More informationChapter 2 Notes: Polynomials and Polynomial Functions
39 Algebra 2 Honors Chapter 2 Notes: Polynomials and Polynomial Functions Section 2.1: Use Properties of Exponents Evaluate each expression (3 4 ) 2 ( 5 8 ) 3 ( 2) 3 ( 2) 9 ( a2 3 ( y 2 ) 5 y 2 y 12 rs
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. C) ±
Final Review for Pre Calculus 009 Semester Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the equation algebraically. ) v + 5 = 7 - v
More informationAP 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 informationReview questions for Math 111 final. Please SHOW your WORK to receive full credit Final Test is based on 150 points
Please SHOW your WORK to receive full credit Final Test is based on 150 points 1. True or False questions (17 pts) a. Common Logarithmic functions cross the y axis at (0,1) b. A square matrix has as many
More informationBlock 2 ~ The Pythagorean Theorem Self-Assessment. Progress (shade this in) Name Per. Track your understanding. Lesson #
Block 2 ~ The Pythagorean Theorem Self-Assessment Track your understanding. Lesson # 2.1 2.2 2.3 2. 2. 2.7 Target I can recognize and find the values of perfect squares. I can estimate the value of square
More informationf exist? Why or why not? Non-AP Calculus Summer Assignment 1. Use the graph at the right to answer the questions below. a. Find f (0).
1. Use the graph at the right to answer the questions below. 4 1 0 - - -1 0 1 4 5 6 7 8 9 10 11-1 - a. Find f (0). b. On what intervals is f( x) increasing? c. Find x so that f( x). d. Find the zeros of
More informationDetermine the value of x or as requested. Round results to an appropriate number of significant digits. 1) Determine the value of.
MAT 205-01C SPRING 2010 Name REVIEW FOR FINAL EXAM Determine the value of x or as requested. Round results to an appropriate number of significant digits. 1) Determine the value of. 1) 20.7 ft 70.1 ft
More information1. Graph each of the given equations, state the domain and range, and specify all intercepts and symmetry. a) y 3x
MATH 94 Final Exam Review. Graph each of the given equations, state the domain and range, and specify all intercepts and symmetry. a) y x b) y x 4 c) y x 4. Determine whether or not each of the following
More informationPrecalculus Review. Functions to KNOW! 1. Polynomial Functions. Types: General form Generic Graph and unique properties. Constants. Linear.
Precalculus Review Functions to KNOW! 1. Polynomial Functions Types: General form Generic Graph and unique properties Constants Linear Quadratic Cubic Generalizations for Polynomial Functions - The domain
More information3 Inequalities Absolute Values Inequalities and Intervals... 5
Contents 1 Real Numbers, Exponents, and Radicals 3 1.1 Rationalizing the Denominator................................... 3 1.2 Factoring Polynomials........................................ 3 1.3 Algebraic
More informationReteach Multiplying and Dividing Rational Expressions
8-2 Multiplying and Dividing Rational Expressions Examples of rational expressions: 3 x, x 1, and x 3 x 2 2 x 2 Undefined at x 0 Undefined at x 0 Undefined at x 2 When simplifying a rational expression:
More information1. OBJECTIVE: Linear Equations
CUNY YORK COLLEGE FINAL EXAM REVIEW MATH 120: Precalculus Use the following questions to review for your final examimation for Math 120. Your ability to answer these questions will reflect what you learned
More informationMath 370 Semester Review Name
Math 370 Semester Review Name These problems will give you an idea of what may be included on the final exam. Don't worry! The final exam will not be this long! 1) State the following theorems: (a) Remainder
More informationUNIT 1 EQUATIONS, INEQUALITIES, FUNCTIONS
UNIT 1 EQUATIONS, INEQUALITIES, FUNCTIONS Act 1 Act 2 A rental car company charges $50.00 per day, plus $0.05 per mile driven. Write a function to model the story. How far did Angie drive if she rented
More information6.1 Using Properties of Exponents 1. Use properties of exponents to evaluate and simplify expressions involving powers. Product of Powers Property
6.1 Using Properties of Exponents Objectives 1. Use properties of exponents to evaluate and simplify expressions involving powers. 2. Use exponents and scientific notation to solve real life problems.
More informationJim Lambers Math 1B Fall Quarter Final Exam Solution (Version A)
Jim Lambers Math 1B Fall Quarter 004-05 Final Exam Solution (Version A) 1. Suppose that a culture initially contains 500 bacteria, and that the population doubles every hours. What is the population after
More information0610a2. Algebra 2/Trigonometry Regents Exam ) 3 3) 3 4) 9 12? 1) 150 2) 165 3) 330 4) 518. b? 3
Algebra /Trigonometry Regents Exam 060 www.jmap.org 060a What is the common difference of the arithmetic sequence 5,8,,4? ) 8 5 ) 3 3) 3 4) 9 5 The graph of y = f(x) is shown below. What is the number
More information6.1 Reciprocal, Quotient, and Pythagorean Identities.notebook. Chapter 6: Trigonometric Identities
Chapter 6: Trigonometric Identities 1 Chapter 6 Complete the following table: 6.1 Reciprocal, Quotient, and Pythagorean Identities Pages 290 298 6.3 Proving Identities Pages 309 315 Measure of
More informationALGEBRA 1 FINAL EXAM TOPICS
ALGEBRA 1 FINAL EXAM TOPICS Chapter 2 2-1 Writing Equations 2-2 Solving One Step Equations 2-3 Solving Multi-Step Equations 2-4 Solving Equations with the Variable on Each Side 2-5 Solving Equations Involving
More informationFinal 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 informationRELEASED. Student Booklet. Math III. Fall 2014 NC Final Exam. Released Items
Released Items Public Schools of North Carolina State Board of Education epartment of Public Instruction Raleigh, North Carolina 27699-6314 Fall 2014 NC Final Exam Math III Student Booklet Copyright 2014
More informationList of PreCalculus Algebra Mathematical Concept Practice Sheets (Updated Spring 2015)
List of PreCalculus Algebra Mathematical Concept Practice Sheets (Updated Spring 2015) MAT 155P MAT 155 1 Absolute Value Equations P 7 P 3 2 Absolute Value Inequalities P 9 P 4 3 Algebraic Expressions:
More informationAlgebra I Unit Report Summary
Algebra I Unit Report Summary No. Objective Code NCTM Standards Objective Title Real Numbers and Variables Unit - ( Ascend Default unit) 1. A01_01_01 H-A-B.1 Word Phrases As Algebraic Expressions 2. A01_01_02
More informationFinal 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 informationPrecalculus Table of Contents Unit 1 : Algebra Review Lesson 1: (For worksheet #1) Factoring Review Factoring Using the Distributive Laws Factoring
Unit 1 : Algebra Review Factoring Review Factoring Using the Distributive Laws Factoring Trinomials Factoring the Difference of Two Squares Factoring Perfect Square Trinomials Factoring the Sum and Difference
More informationMath 370 Exam 2 Review Name
Math 70 Exam 2 Review Name Be sure to complete these problems before the review session. 10 of these questions will count as a quiz in Learning Catalytics. Round 1 will be individual. Round 2 will be in
More informationR3.6 Solving Linear Inequalities. 3) Solve: 2(x 4) - 3 > 3x ) Solve: 3(x 2) > 7-4x. R8.7 Rational Exponents
Level D Review Packet - MMT This packet briefly reviews the topics covered on the Level D Math Skills Assessment. If you need additional study resources and/or assistance with any of the topics below,
More informationMIDTERM 4 PART 1 (CHAPTERS 5 AND 6: ANALYTIC & MISC. TRIGONOMETRY) MATH 141 FALL 2018 KUNIYUKI 150 POINTS TOTAL: 47 FOR PART 1, AND 103 FOR PART
Math 141 Name: MIDTERM 4 PART 1 (CHAPTERS 5 AND 6: ANALYTIC & MISC. TRIGONOMETRY) MATH 141 FALL 018 KUNIYUKI 150 POINTS TOTAL: 47 FOR PART 1, AND 103 FOR PART Show all work, simplify as appropriate, and
More informationMATH 080 Final-Exam Review
MATH 080 Final-Exam Review Can you simplify an expression using the order of operations? 1) Simplify 32(11-8) - 18 3 2-3 2) Simplify 5-3 3-3 6 + 3 A) 5 9 B) 19 9 C) - 25 9 D) 25 9 Can you evaluate an algebraic
More informationAP Calculus Summer Packet
AP Calculus Summer Packet Writing The Equation Of A Line Example: Find the equation of a line that passes through ( 1, 2) and (5, 7). ü Things to remember: Slope formula, point-slope form, slopeintercept
More informationAlgebra III: Blizzard Bag #1 Exponential and Logarithm Functions
NAME : DATE: PERIOD: Algebra III: Blizzard Bag #1 Exponential and Logarithm Functions Students need to complete the following assignment, which will aid in review for the end of course exam. Look back
More informationPre-Calculus MATH 119 Fall Section 1.1. Section objectives. Section 1.3. Section objectives. Section A.10. Section objectives
Pre-Calculus MATH 119 Fall 2013 Learning Objectives Section 1.1 1. Use the Distance Formula 2. Use the Midpoint Formula 4. Graph Equations Using a Graphing Utility 5. Use a Graphing Utility to Create Tables
More informationMy Math Plan Assessment #2 Study Guide
My Math Plan Assessment #2 Study Guide 1. Find the x-intercept and the y-intercept of the linear equation. 8x y = 4 2. Use factoring to solve the quadratic equation. x 2 + 9x + 1 = 17. Multiply and simplify
More informationHonors Pre-calculus Midterm Review
Honors Pre-calculus Midterm Review Name: Chapter 1: Functions and Their Graphs 1. Evaluate the function f(x) = x 2 + 1 at each specified value of the independent variable and simplify. a. f( 3) b. f(x
More informationSHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Math 170 Final Exam Review Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Evaluate the function at the given value of the independent variable and
More informationAlgebra I. Course Outline
Algebra I Course Outline I. The Language of Algebra A. Variables and Expressions B. Order of Operations C. Open Sentences D. Identity and Equality Properties E. The Distributive Property F. Commutative
More informationHow to use this Algebra II - Semester 2 Study Packet
Excellence is not an act, but a habit. Aristotle Dear Algebra II Student, First of all, Congrats! for making it this far in your math career. Passing Algebra II is a huge mile-stone Give yourself a pat
More information12) y = -2 sin 1 2 x - 2
Review -Test 1 - Unit 1 and - Math 41 Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Find and simplify the difference quotient f(x + h) - f(x),
More informationSolve the problem. 2) If tan = 3.7, find the value of tan + tan ( + ) + tan ( + 2 ). A) 11.1 B) 13.1 C) D) undefined
Assignment Bonus Chs 6,,8 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. In the problem, t is a real number and P = (x, y) is the point on the
More informationFinal Exam Review for DMAT 0310
Final Exam Review for DMAT 010 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Factor the polynomial completely. What is one of the factors? 1) x
More informationAdditional Exercises 10.1 Form I Solving Quadratic Equations by the Square Root Property
Additional Exercises 10.1 Form I Solving Quadratic Equations by the Square Root Property Solve the quadratic equation by the square root property. If possible, simplify radicals or rationalize denominators.
More informationMATH 165 Common Final Exam Review SPRING The amount of carbon 14 remaining in animal bones after t years, is given by
1 MATH 165 Common Final Exam Review SPRING 017 1. The amount of carbon 14 remaining in animal bones after t years, is given by A() t 0.0001 t A0e where 0 A is the amount present initially. Estimate, to
More informationSolving Multi-Step Equations
1. Clear parentheses using the distributive property. 2. Combine like terms within each side of the equal sign. Solving Multi-Step Equations 3. Add/subtract terms to both sides of the equation to get the
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Exam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Use the appropriate identity to find the indicated function value. Rationalize the denominator,
More information0615a2. Algebra 2/Trigonometry Regents Exam x 2 y? 4 x. y 2. x 3 y
Algebra /Trigonometry Regents Exam 065 www.jmap.org 065a Which list of ordered pairs does not represent a one-to-one function? ) (, ),(,0),(,),(4,) ) (,),(,),(,4),(4,6) ) (,),(,4),(,),(4,) 4) (,5),(,4),(,),(4,0)
More informationADVANCED FUNCTIONS (MHF 4U) FINAL EXAMINATION
Canadian International Matriculation Programme Sunway College (KL) Sdn. Bhd. ADVANCED FUNCTIONS (MHF U) FINAL EXAMINATION Date/Day : December 07, Monday Time : 8.30 am 0.30 am Length : hours Lecturers
More informationALGEBRA 2 FINAL EXAM REVIEW
Class: Date: ALGEBRA 2 FINAL EXAM REVIEW Multiple Choice Identify the choice that best completes the statement or answers the question.. Classify 6x 5 + x + x 2 + by degree. quintic c. quartic cubic d.
More informationMath 120 Final Exam Practice Problems, Form: A
Math 120 Final Exam Practice Problems, Form: A Name: While every attempt was made to be complete in the types of problems given below, we make no guarantees about the completeness of the problems. Specifically,
More informationMTH 133: Plane Trigonometry
MTH 133: Plane Trigonometry The Trigonometric Functions Right Angle Trigonometry Thomas W. Judson Department of Mathematics & Statistics Stephen F. Austin State University Fall 2017 Plane Trigonometry
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
MAC 1105 Fall 2007 - Final Exam Dr. Schnackenberg If you do not agree with the given answers, answer "E" for "None of the above". MULTIPLE CHOICE. Choose the one alternative that best completes the statement
More informationSolutions to MAT 117 Test #3
Solutions to MAT 7 Test #3 Because there are two versions of the test, solutions will only be given for Form C. Differences from the Form D version will be given. (The values for Form C appear above those
More informationMath 370 Semester Review Name
Math 370 Semester Review Name 1) State the following theorems: (a) Remainder Theorem (b) Factor Theorem (c) Rational Root Theorem (d) Fundamental Theorem of Algebra (a) If a polynomial f(x) is divided
More informationName 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 informationA) 13 B) 9 C) 22 D) log 9
Math 70 Exam 2 Review Name Be sure to complete these problems before the review session. Participation in our review session will count as a quiz grade. Please bring any questions you have ready to ask!
More informationThe American School of Marrakesh. AP Calculus AB Summer Preparation Packet
The American School of Marrakesh AP Calculus AB Summer Preparation Packet Summer 2016 SKILLS NEEDED FOR CALCULUS I. Algebra: *A. Exponents (operations with integer, fractional, and negative exponents)
More informationFunction: State whether the following examples are functions. Then state the domain and range. Use interval notation.
Name Period Date MIDTERM REVIEW Algebra 31 1. What is the definition of a function? Functions 2. How can you determine whether a GRAPH is a function? State whether the following examples are functions.
More informationSHORT 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 informationAP CALCULUS AB. Summer Assignment. Page 1
AP CALCULUS AB Summer Assignment Page 1 Welcome to AP Calculus AB. This will be the toughest class yet in your mathematical careers but the benefit you will receive by having this experience in high school
More informationNAME DATE PERIOD. Trigonometric Identities. Review Vocabulary Complete each identity. (Lesson 4-1) 1 csc θ = 1. 1 tan θ = cos θ sin θ = 1
5-1 Trigonometric Identities What You ll Learn Scan the text under the Now heading. List two things that you will learn in the lesson. 1. 2. Lesson 5-1 Active Vocabulary Review Vocabulary Complete each
More informationDRAFT. Appendix H. Grade 12 Prototype Examination. Pre-calculus 30. Course Code For more information, see the Table of Specifications.
Grade 1 Prototype Examination Pre-calculus 30 Course Code 846 Barcode Number DRAFT Appendix H For more information, see the Table of Specifications. Month Day Date of Birth November 013 AMPLE Pre-calculus
More informationCALCULUS ASSESSMENT REVIEW
CALCULUS ASSESSMENT REVIEW DEPARTMENT OF MATHEMATICS CHRISTOPHER NEWPORT UNIVERSITY 1. Introduction and Topics The purpose of these notes is to give an idea of what to expect on the Calculus Readiness
More informationAlgebra 2 Honors: Final Exam Review
Name: Class: Date: Algebra 2 Honors: Final Exam Review Directions: You may write on this review packet. Remember that this packet is similar to the questions that you will have on your final exam. Attempt
More information