Review for MA Final Exam

Size: px
Start display at page:

Download "Review for MA Final Exam"

Transcription

1 Review for MA 00 Final Eam Date Time Room Student ID Number (This will be needed on the scantron form for the eam.) Instructions for Students to get ID# a. Go to the IPFW website at ipfw.edu b. Log into My IPFW with user id and password. c. ID number is below the Welcome message on Home Page. There are 0 problems on the Final Eam. All problems are in multiple-choice format with possible answers a, b, c, d, and e. There is also more room to work the problems. No partial credit will be given. No formula sheets, notes, books or any other eternal resources may be used on the final eam. You must bring No. pencils and a calculator to the final eam with you. No Cell phones or computers allowed during the eam. This review has mied format. The following problems are provided as a review and represent many of the types of problems that you may epect on the final eam. For problems #-. Shown is the graph of function yy = ff().. (See the graph.) What is the Domain of f? ( 9, ] b) [ 9, ) ( 8, 8] [ 8,8) (, 9]. (See the graph.) What is the Range of f? ( 9, ] b) [ 9, ) ( 8, 8] [ 8,8) (8, 8]. (See the graph.) What is the -intercept? (0, ) b) (0, ) (, 0) (, 0) (, 0)

2 MA 00 Review for Final Eam Page. (See the graph.) What is the y-intercept? (0, ) b) (0, ) (, 0) (, 0) (0, ). (See the graph.) Find the value of ff(0). 9 b) 0 8. (See the graph.) Find the value of for which ff() = 0. 9 b) 0. Which of the graphs below are functions? (On the Final Eam, this will be in multiple choice format.) I II III IV I) Yes/No II) Yes/No III) Yes/No IV) Yes/No V VI VII VIII V) Yes/No VI) Yes/No VII) Yes/No VIII) Yes/N 8. Graph the inequality: < 9 ( ] [ ) b) ( ] ( ) [ ]

3 MA 00 Review for Final Eam Page 9. Solve the inequality: 9 ( + ) + < (8 ) < b) < > < > 0. Find the equation of the line from its graph. b) y = + y = + y = + y = + y = +. A company s revenue in 00 was $ million. Each year the revenue increases by $. million. Find a linear model for this situation and predict the revenue in 0. Let = 0 represent the year 00. R= +. b) R=. R=.+ $. Million $. Million $. Million R= R=.+. $.8 Million $. Million. Find the slope of the line through the points (, ) and (, ). b) Find the equation of the line through the point (,) with slope m =. y = b) y = + y = + y = + y =. Find the equation of the line through the point ( 8,) that is perpendicular to the line y =. y = + b) y = + y = + y = y = +

4 MA 00 Review for Final Eam Page. Given the graph of y = m + b, which of the following is true? y m< 0 and b> 0 b) m> 0 and b> 0 m< 0 and b< 0 m> 0 and b< 0 m= 0 and b< 0. Factor completely: 9 + ( ) b) ( ) ( )( ) + + ( ) ( + )( ) 9. Which of the following is a factor of 8? ( ) b) ( ) ( + ) ( + ) ( 8 ) 8. Factor completely: + 0 ( )( ) b) ( )( ) ( )( ) ( )( + 8) Prime 9. Factor completely: ( ) b) ( )( ) ( ) ( ) + Prime + ( )( + )

5 MA 00 Review for Final Eam Page 0. Solve for : ( + ) = 0 = 0 or = or = b) = 0 or = = = 0 or = only =. Which is the graph of yy = + +? b). Solve the system for. + y = + y = = b) = = = = For problems # &. Solve the system of equations. yy = 89 + yy =. For the system above, the value of is:. For the system above, the value of y is:

6 MA 00 Review for Final Eam Page. The graph of yy = ff() is shown. Estimate a for ff(a = 0. only b) 0 only only only only f) or g) 0 or. The graph of yy = gg() is shown. Estimate a for gg(a = 0. only b) only only or 0 only f). only g) 0 or.. Find a polynomial, with integer coefficients, having the following zeros: = and f ( ) = 8 + b) f ( ) = 0 ( ) f = =. f = 8 + ( ) f = + ( ) 0 8. Find a polynomial with integer coefficients having the following -intercepts on its graph: (,0) and (,0 ). f ( ) = + 0 b) f ( ) = 0 ( ) f = + 0 f = 0 ( ) f( ) = 0

7 MA 00 Review for Final Eam Page 9. The height of a rock that is thrown from a 0 meter cliff is given by h(tt) =.9tt + 9tt + 0, where t is time in seconds after being thrown. At what time will the rock return to a height of 0 meters? 0.9 sec b). sec. sec.8 sec never 0. The area of a rectangle lot is. square meters. The length is three more than four times the width. Find the length.. meters b). meters. meters meters. meters. Solve for : 9 = = b) 9 8 = ± = 0 or = 9 9 = 0 or = 9 =. Solve for : 9 = = 9 b) = 0 or = or = = ±. Solve for : 0 + = = or = b) = or = = 0 or = = or = = only. Solve for : + = 0. = ± 8 b) = ± = ± = ± = ± 9. Solve for : + = ± 09 = b) ± 09 = ± 09 = = ± 09 No real number solution

8 MA 00 Review for Final Eam Page 8. Solve for : ( ) = = ± b) ± = = ± = ± = +. Find the verte and y-intercept of the parabola ( ) ( ) f = + 8. verte: (, 8) b) verte: (, 8) verte: (, 8) y-int.: (, 0 ) y-int.: ( 0, ) y-int.: ( 0, 8) verte: (,8) verte: (, 8) y-int.: (., 0) y-int.: ( 0, ) 8. Given f( ) = 0, find the -intercepts.,0,, 0 ( ),0,,0 b) ( ),0,,0 ( ) 0,, 0, ( ) ( 0, ), ( 0, 0) 9. Find the verte form of the parabola shown below. ( ) y = + + b) ( ) y = ( ) y = + ( ) y = + ( ) y = +

9 MA 00 Review for Final Eam Page 9 0. For the function of the form yy = ff() = aa( h) + kk shown, determine the signs of a, h, and k. a, h, and k are all negative b) a and h are negative, k is positive a and k are negative, h is positive h and k are negative, a is positive a is negative, h and k are positive f) h is negative, a and k are positive g) k is negative, a and h are positive h) a, h, and k are all positive. For the function of the form yy = ff() = aa( h) + kk shown, determine the signs of a, h, and k. a, h, and k are all negative b) a and h are negative, k is positive a and k are negative, h is positive h and k are negative, a is positive a is negative, h and k are positive f) h is negative, a and k are positive g) k is negative, a and h are positive h) a, h, and k are all positive. The height of a rock that is thrown from a 00 foot cliff is given by ( ) ht = t + 8t+ 00 where t is time in seconds. How long will it take for the rock to hit the ground? Round to the nearest tenth of a second..0 seconds b). seconds. seconds. seconds 00 seconds. Rewrite with positive eponents: 8 0 b)

10 MA 00 Review for Final Eam Page 0. Which of the following is equivalent to 9? 9 b) 9. Which of the following is equivalent to? b). Simplify: 0aa 0 bb 0 cc aa bb 0 cc. Simplify: 8 yy yy 0 8. Simplify ( ) 8 b) 8 9. Simplify: b) 0. Simplify: 0 y y b) 0 y 0 y. y not a real number. Simplify: 9 y. y b) y y 8 y 8 y

11 MA 00 Review for Final Eam Page. Simplify. Assume all variables represent positive numbers. yy yy b) yy 8 yy 8. Use rational eponents to help write the radical epression in a simpler form. Assume all variables represent positive numbers. 9 b) 9. Use rational eponents to help write the radical epression in a simpler form. Assume all variables represent positive numbers. b). Subtract and simplify. ( ) ( + ) b)

12 MA 00 Review for Final Eam Page. Determine the domain of f ( ) = 0 all real numbers ecept and b) all real numbers ecept all real numbers ecept all real numbers ecept 0 all real numbers. Determine the domain of f ( ) = all real numbers b) all real numbers ecept and all real numbers between and all real numbers ecept 0 all real numbers 8 8. Simplify: b) Multiply and simplify: 9 b) + 0. Divide and simplify: ( ) b) ( + ) ( )( ) ( + ) +

13 MA 00 Review for Final Eam Page 9. Subtract and simplify: + ( ) ( )( + ) b) ( + ) ( )( ) + 0. Solve for : = 0 + = b) = = = =. Solve for : = + = 8 b) = = = 8 =. Solve for : + + = = or = 0 b) = or = 0 = or = 0 = or = 0 = 0 only. Assume that 0, yy 0. Simplify: 80aa bb 9 cc 8 0aa bb 9 cc b) aa bb cc aa bb cc 8 aaaaaa aa bb cc 8 0bb aa bb cc 8 bb. Solve for and then determine which interval contains the correct solution(s): =. < < b) 00 < < 00 0< < 00 < < 00 < < 0. Solve for : = = 0 b) = 990 = 00 = = 990

14 MA 00 Review for Final Eam Page 8. Graph the function and determine the intercepts for y = 9. -intercept: None b) -intercept: (9,0) -intercept: (9,0) y-intercept: (0,9) y-intercept: None y-intercept: (0,) -intercept: (9,0) -intercept: ( 9,0) y-intercept: (0, ) y-intercept: None 9. What is the domain of yy = ff() = 9? ( 9, ) b) [ 9, ) (9, ) [9, ) [0, ) f) (, 9) g) (, 9] h) (, 9) i) (, 9] j) (, ) 0. Use the Distance Formula ( ) + (yy yy ) to find the distance between the points (, ) and (, ). b)

Algebra 1 FINAL EXAM REVIEW Spring Semester Material (by chapter)

Algebra 1 FINAL EXAM REVIEW Spring Semester Material (by chapter) Name: Per.: Date: Algebra 1 FINAL EXAM REVIEW Spring Semester Material (by chapter) Your Algebra 1 Final will be on at. You will need to bring your tetbook and number 2 pencils with you to the final eam.

More information

A.P. Calculus Summer Assignment

A.P. Calculus Summer Assignment A.P. Calculus Summer Assignment This assignment is due the first day of class at the beginning of the class. It will be graded and counts as your first test grade. This packet contains eight sections and

More information

In #8-11, Simplify the expression. Write your answer using only positive exponents. 11) 4

In #8-11, Simplify the expression. Write your answer using only positive exponents. 11) 4 Semester Final Eam Review Packet Name Chapter 8: Eponents and Eponential Functions In #1-4 simplify the epression. Write your answer using eponents. 1) ( ) ( )( ) 5 ) ( 6 ) 5 4 ) 7 4 11 7 6 6 4) 8 6 1

More information

Welcome to AP Calculus!

Welcome to AP Calculus! Welcome to AP Calculus! This packet is meant to help you review some of the mathematics that lead up to calculus. Of course, all mathematics up until this point has simply been a build-up to calculus,

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

Algebra Final Exam Review Packet

Algebra Final Exam Review Packet Algebra 1 00 Final Eam Review Packet UNIT 1 EXPONENTS / RADICALS Eponents Degree of a monomial: Add the degrees of all the in the monomial together. o Eample - Find the degree of 5 7 yz Degree of a polynomial:

More information

MAT Intermediate Algebra - Final Exam Review Textbook: Beginning & Intermediate Algebra, 5th Ed., by Martin-Gay

MAT Intermediate Algebra - Final Exam Review Textbook: Beginning & Intermediate Algebra, 5th Ed., by Martin-Gay MAT0 - Intermediate Algebra - Final Eam Review Tetbook: Beginning & Intermediate Algebra, 5th Ed., by Martin-Gay Section 2. Solve the equation. ) 9 - ( - ) = 2 Section 2.8 Solve the inequality. Graph the

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

Algebra Concepts Equation Solving Flow Chart Page 1 of 6. How Do I Solve This Equation?

Algebra Concepts Equation Solving Flow Chart Page 1 of 6. How Do I Solve This Equation? Algebra Concepts Equation Solving Flow Chart Page of 6 How Do I Solve This Equation? First, simplify both sides of the equation as much as possible by: combining like terms, removing parentheses using

More information

Exam 2 Review F15 O Brien. Exam 2 Review:

Exam 2 Review F15 O Brien. Exam 2 Review: Eam Review:.. Directions: Completely rework Eam and then work the following problems with your book notes and homework closed. You may have your graphing calculator and some blank paper. The idea is to

More information

INTERMEDIATE ALGEBRA REVIEW FOR TEST 3

INTERMEDIATE ALGEBRA REVIEW FOR TEST 3 INTERMEDIATE ALGEBRA REVIEW FOR TEST 3 Evaluate the epression. ) a) 73 (-4)2-44 d) 4-3 e) (-)0 f) -90 g) 23 2-4 h) (-2)4 80 i) (-2)5 (-2)-7 j) 5-6 k) 3-2 l) 5-2 Simplify the epression. Write your answer

More information

SOLUTIONS. Math 130 Midterm Spring True-False: Circle T if the statement is always true. Otherwise circle F.

SOLUTIONS. Math 130 Midterm Spring True-False: Circle T if the statement is always true. Otherwise circle F. SOLUTIONS Math 13 Midterm Spring 16 Directions: True-False: Circle T if the statement is always true. Otherwise circle F. Partial-Credit: Please show all work and fully justify each step. No credit will

More information

Are You Ready for Algebra 3/Trigonometry? Summer Packet **Required for all Algebra 3/Trig CP and Honors students**

Are You Ready for Algebra 3/Trigonometry? Summer Packet **Required for all Algebra 3/Trig CP and Honors students** Page of Are You Ready for Algebra /Trigonometry? Summer Packet **Required for all Algebra /Trig CP and Honors students** The Algebra /Trigonometry course prepares students for Calculus and college science

More information

MAT 107 College Algebra Fall 2013 Name. Final Exam, Version X

MAT 107 College Algebra Fall 2013 Name. Final Exam, Version X MAT 107 College Algebra Fall 013 Name Final Exam, Version X EKU ID Instructor Part 1: No calculators are allowed on this section. Show all work on your paper. Circle your answer. Each question is worth

More information

Los Angeles Mission College

Los Angeles Mission College Los Angeles Mission College Math : Elementar Algebra Common Final Practice Set This practice set is a compilation of 0 questions that are similar in content to those on the common final. Since the content

More information

Algebra I Practice Questions ? 1. Which is equivalent to (A) (B) (C) (D) 2. Which is equivalent to 6 8? (A) 4 3

Algebra I Practice Questions ? 1. Which is equivalent to (A) (B) (C) (D) 2. Which is equivalent to 6 8? (A) 4 3 1. Which is equivalent to 64 100? 10 50 8 10 8 100. Which is equivalent to 6 8? 4 8 1 4. Which is equivalent to 7 6? 4 4 4. Which is equivalent to 4? 8 6 Page 1 of 0 11 Practice Questions 6 1 5. Which

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

Middlesex County College MAT 014 Algebra II Final Exam Review

Middlesex County College MAT 014 Algebra II Final Exam Review Middlese County College MAT 0 Algebra II Final Eam Review. Solve: t = 8 No solution 0 t = t = t =. Solve: = ( 8w) ( 8+ w) w = w = 7 7 w = w = 7. Solve: ( ) 99y+ = y + 79y+ 8 No solution y = any real #

More information

Clifton High School Mathematics Summer Workbook

Clifton High School Mathematics Summer Workbook Clifton High School Mathematics Summer Workbook Algebra II-H: 9 th grade Completion of this summer work is required on the first day of the school year. Date Received: Date Completed: Student Signature:

More information

Rational Numbers, Irrational Numbers, Whole Numbers, Integers, Natural Numbers

Rational Numbers, Irrational Numbers, Whole Numbers, Integers, Natural Numbers College Readiness Math Semester Eam Review Write the set using interval notation and graph the inequality on the number line. 1) { -6 < < 9} Use the order of operations to simplify the epression. 4 (8

More information

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

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

More information

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

For problems 1 4, evaluate each expression, if possible. Write answers as integers or simplified fractions

For problems 1 4, evaluate each expression, if possible. Write answers as integers or simplified fractions / MATH 05 TEST REVIEW SHEET TO THE STUDENT: This Review Sheet gives you an outline of the topics covered on Test as well as practice problems. Answers are at the end of the Review Sheet. I. EXPRESSIONS

More information

Math 518 Final Exam Instructions

Math 518 Final Exam Instructions Math 518 Final Eam Instructions Monday, June 16, 2014 12:30 2:15 pm Room Bring your tetbook to the final eam. If you lost your tetbook, please bring cash or a check payable to City of Newton for the book

More information

Algebra 1. Standard 1: Operations With Real Numbers Students simplify and compare expressions. They use rational exponents and simplify square roots.

Algebra 1. Standard 1: Operations With Real Numbers Students simplify and compare expressions. They use rational exponents and simplify square roots. Standard 1: Operations With Real Numbers Students simplify and compare expressions. They use rational exponents and simplify square roots. A1.1.1 Compare real number expressions. A1.1.2 Simplify square

More information

5. Find the slope intercept equation of the line parallel to y = 3x + 1 through the point (4, 5).

5. Find the slope intercept equation of the line parallel to y = 3x + 1 through the point (4, 5). Rewrite using rational eponents. 2 1. 2. 5 5. 8 4 4. 4 5. Find the slope intercept equation of the line parallel to y = + 1 through the point (4, 5). 6. Use the limit definition to find the derivative

More information

MIDTERM REVIEW. Write an algebraic expression to represent the following verbal expressions. 1) Double the difference of a number and 7.

MIDTERM REVIEW. Write an algebraic expression to represent the following verbal expressions. 1) Double the difference of a number and 7. NAME MIDTERM REVIEW DATE Write an algebraic epression to represent the following verbal epressions. 1) Double the difference of a number and 7. ) Find the value of the epression 0. Solve each equation.

More information

AP Calculus I Summer Packet

AP Calculus I Summer Packet AP Calculus I Summer Packet This will be your first grade of AP Calculus and due on the first day of class. Please turn in ALL of your work and the attached completed answer sheet. I. Intercepts The -intercept

More information

Final Exam Review for DMAT 0310

Final 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 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

CHAPTER 8 Quadratic Equations, Functions, and Inequalities

CHAPTER 8 Quadratic Equations, Functions, and Inequalities CHAPTER Quadratic Equations, Functions, and Inequalities Section. Solving Quadratic Equations: Factoring and Special Forms..................... 7 Section. Completing the Square................... 9 Section.

More information

G r a d e 1 1 P r e - C a l c u l u s M a t h e m a t i c s ( 3 0 S ) Midterm Practice Exam Answer Key

G r a d e 1 1 P r e - C a l c u l u s M a t h e m a t i c s ( 3 0 S ) Midterm Practice Exam Answer Key G r a d e 1 1 P r e - C a l c u l u s M a t h e m a t i c s ( 3 0 S ) Midterm Practice Eam Answer Key G r a d e 1 1 P r e - C a l c u l u s M a t h e m a t i c s Midterm Practice Eam Answer Key Name:

More information

Math 110 Final Exam Review Revised December 2015

Math 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 information

Complete the following problems on a separate sheet of paper. Practice showing all work!

Complete the following problems on a separate sheet of paper. Practice showing all work! MATH 700 FINAL EXAM REVIEW INTERMEDIATE ALGEBRA Complete the following problems on a separate sheet of paper. Practice showing all work!. Find all numbers for which the rational epression is not defined...a.

More information

Algebra II Midterm Exam Review Packet

Algebra II Midterm Exam Review Packet Algebra II Midterm Eam Review Packet Name: Hour: CHAPTER 1 Midterm Review Evaluate the power. 1.. 5 5. 6. 7 Find the value of each epression given the value of each variable. 5. 10 when 5 10 6. when 6

More information

G r a d e 1 1 P r e - C a l c u l u s M a t h e m a t i c s ( 3 0 S ) Final Practice Exam Answer Key

G r a d e 1 1 P r e - C a l c u l u s M a t h e m a t i c s ( 3 0 S ) Final Practice Exam Answer Key G r a d e P r e - C a l c u l u s M a t h e m a t i c s ( 3 0 S ) Final Practice Eam Answer Key G r a d e P r e - C a l c u l u s M a t h e m a t i c s Final Practice Eam Answer Key Name: Student Number:

More information

Algebra I Chapter 4 Curriculum and IXL

Algebra I Chapter 4 Curriculum and IXL Chapter 4 Curriculum and IXL C4L1 Functions and Non-Functions Represent relations as mappings, sets of points, and graphs: WS Determine whether a relation is a function or not: WS C4L2 Linear and Non-Linear

More information

Section 5: Quadratic Equations and Functions Part 1

Section 5: Quadratic Equations and Functions Part 1 Section 5: Quadratic Equations and Functions Part 1 Topic 1: Real-World Examples of Quadratic Functions... 121 Topic 2: Factoring Quadratic Expressions... 125 Topic 3: Solving Quadratic Equations by Factoring...

More information

Q.5 Polynomial and Rational Inequalities

Q.5 Polynomial and Rational Inequalities 393 Q.5 Polynomial and Rational Inequalities In sections L4 and L5, we discussed solving linear inequalities in one variable as well as solving systems of such inequalities. In this section, we examine

More information

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

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

More information

COUNCIL ROCK HIGH SCHOOL MATHEMATICS. A Summer Review of Algebra. Designed for the Student Entering Accelerated/Honors Analysis

COUNCIL ROCK HIGH SCHOOL MATHEMATICS. A Summer Review of Algebra. Designed for the Student Entering Accelerated/Honors Analysis COUNCIL ROCK HIGH SCHOOL MATHEMATICS A Summer Review of Algebra Designed for the Student Entering Accelerated/Honors Analysis Please print this packet in its entirety to be completed for evaluation on

More information

Mini-Lecture 5.1 Exponents and Scientific Notation

Mini-Lecture 5.1 Exponents and Scientific Notation Mini-Lecture.1 Eponents and Scientific Notation Learning Objectives: 1. Use the product rule for eponents.. Evaluate epressions raised to the zero power.. Use the quotient rule for eponents.. Evaluate

More information

Which Mathematics Course Should You Take? August 22, 2018 Which mathematics course you should take depends on your current mathematics skill level

Which Mathematics Course Should You Take? August 22, 2018 Which mathematics course you should take depends on your current mathematics skill level Which Mathematics Course Should You Take? August, 018 Which mathematics course you should take depends on your current mathematics skill level and your intended major. This is a conversation you should

More information

Algebra I Quadratics Practice Questions

Algebra I Quadratics Practice Questions 1. Which is equivalent to 64 100? 10 50 8 10 8 100. Which is equivalent to 6 8? 4 8 1 4. Which is equivalent to 7 6? 4 4 4. Which is equivalent to 4? 8 6 From CCSD CSE S Page 1 of 6 1 5. Which is equivalent

More information

Answer Key. Solve each equation x - 9 = (n + 2) = b - 6 = -3b + 48

Answer Key. Solve each equation x - 9 = (n + 2) = b - 6 = -3b + 48 Solve each equation. 1. -3x - 9 = -27 2. 25 + 2(n + 2) = 30 3. -9b - 6 = -3b + 48 x = 6 n = 1 / 2 b = -9 4. 5 - (m - 4) = 2m + 3(m - 1) 5. -24-10k = -8(k + 4) - 2k 6. f - (-19) = 11f + 23-20f m = 2 no

More information

COUNCIL ROCK HIGH SCHOOL MATHEMATICS. A Note Guideline of Algebraic Concepts. Designed to assist students in A Summer Review of Algebra

COUNCIL ROCK HIGH SCHOOL MATHEMATICS. A Note Guideline of Algebraic Concepts. Designed to assist students in A Summer Review of Algebra COUNCIL ROCK HIGH SCHOOL MATHEMATICS A Note Guideline of Algebraic Concepts Designed to assist students in A Summer Review of Algebra [A teacher prepared compilation of the 7 Algebraic concepts deemed

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

Math 110 Final Exam Review Revised October 2018

Math 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 information

Quadratic Equations Chapter Questions

Quadratic Equations Chapter Questions Quadratic Equations Chapter Questions 1. Describe the characteristics of a quadratic equation. 2. What are the steps for graphing a quadratic function? 3. How can you determine the number of solutions

More information

MAT 1033C Final Exam Review. BY: Math Connections/Hands-On Math

MAT 1033C Final Exam Review. BY: Math Connections/Hands-On Math MAT 1033C Final Exam Review BY: Math Connections/Hands-On Math Useful Formulas Rational Expressions/Equations #1, 2, 3, 4, 5, 6, 7, 8, 9, 47, 48, 49 Table of Contents Radicals and Rational Exponents/Equations

More information

Mathematics 2201 Midterm Exam Review

Mathematics 2201 Midterm Exam Review Mathematics 0 Midterm Eam Review Chapter : Radicals Chapter 6: Quadratic Functions Chapter 7: Quadratic Equations. Evaluate: 6 8 (A) (B) (C) (D). Epress as an entire radical. (A) (B) (C) (D). What is the

More information

My Math Plan Assessment #2 Study Guide

My 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 information

QUEEN ELIZABETH REGIONAL HIGH SCHOOL MATHEMATICS 2201 MIDTERM EXAM

QUEEN ELIZABETH REGIONAL HIGH SCHOOL MATHEMATICS 2201 MIDTERM EXAM QUEEN ELIZABETH REGIONAL HIGH SCHOOL MATHEMATICS 0 MIDTERM EXAM JANUARY 0 NAME: TIME: HOURS 0 MINUTES ( INCLUDES EXTRA TIME ) PART A: MULTIPLE CHOICE ( Value: 0 % ) Shade the letter of the correct response

More information

STA Summer Review for Students Entering Algebra 3

STA Summer Review for Students Entering Algebra 3 Alg Summer Review STA Summer Review for Students Entering Algebra This packet will be collected and graded the first week of school. There will also be a test over this material the first week of school.

More information

3 6 x a. 12 b. 63 c. 27 d. 0. 6, find

3 6 x a. 12 b. 63 c. 27 d. 0. 6, find Advanced Algebra Topics COMPASS Review revised Summer 0 You will be allowed to use a calculator on the COMPASS test Acceptable calculators are basic calculators, scientific calculators, and approved models

More information

Honors Geometry Summer Packet NHHS and VHS

Honors Geometry Summer Packet NHHS and VHS NAME_ STUDENT ID # Honors Geometry Summer Packet NHHS and VHS This summer packet is for all students enrolled in Honors Geometry for the upcoming school year. The entire packet will be due and collected

More information

Math Analysis Chapter 2 Notes: Polynomial and Rational Functions

Math Analysis Chapter 2 Notes: Polynomial and Rational Functions Math Analysis Chapter Notes: Polynomial and Rational Functions Day 13: Section -1 Comple Numbers; Sections - Quadratic Functions -1: Comple Numbers After completing section -1 you should be able to do

More information

My Math Plan Assessment #1 Study Guide

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 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

Math 120 Handouts. Functions Worksheet I (will be provided in class) Point Slope Equation of the Line 3. Functions Worksheet III 15

Math 120 Handouts. Functions Worksheet I (will be provided in class) Point Slope Equation of the Line 3. Functions Worksheet III 15 Math 0 Handouts HW # (will be provided to class) Lines: Concepts from Previous Classes (emailed to the class) Parabola Plots # (will be provided in class) Functions Worksheet I (will be provided in class)

More information

Performing well in calculus is impossible without a solid algebra foundation. Many calculus

Performing well in calculus is impossible without a solid algebra foundation. Many calculus Chapter Algebra Review Performing well in calculus is impossible without a solid algebra foundation. Many calculus problems that you encounter involve a calculus concept but then require many, many steps

More information

Unit 2. Quadratic Functions and Modeling. 24 Jordan School District

Unit 2. Quadratic Functions and Modeling. 24 Jordan School District Unit Quadratic Functions and Modeling 4 Unit Cluster (F.F.4, F.F.5, F.F.6) Unit Cluster (F.F.7, F.F.9) Interpret functions that arise in applications in terms of a contet Analyzing functions using different

More information

Core Connections Algebra 2 Checkpoint Materials

Core Connections Algebra 2 Checkpoint Materials Core Connections Algebra 2 Note to Students (and their Teachers) Students master different skills at different speeds. No two students learn eactly the same way at the same time. At some point you will

More information

Solving Multi-Step Equations

Solving 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 information

Archdiocese of Washington Catholic Schools Academic Standards Mathematics

Archdiocese of Washington Catholic Schools Academic Standards Mathematics ALGEBRA 1 Standard 1 Operations with Real Numbers Students simplify and compare expressions. They use rational exponents, and simplify square roots. A1.1.1 A1.1.2 A1.1.3 A1.1.4 A1.1.5 Compare real number

More information

Day 28 linear functions Day 29 linear functions. integers Day 30 non-linear functions Day 31 non-linear functions. Multiply and divide integers Day

Day 28 linear functions Day 29 linear functions. integers Day 30 non-linear functions Day 31 non-linear functions. Multiply and divide integers Day Algebra 1 Credits:1 Prerequisite:Pre-algebra Recommended:8th, 9th Course Description:Students will engage in real world and hands-on problem solving while using their developing skills in algebra. Students

More information

due date: third day of class estimated time: 10 hours (for planning purposes only; work until you finish)

due date: third day of class estimated time: 10 hours (for planning purposes only; work until you finish) Honors Geometry Summer Work 2015 due date: third day of class estimated time: 10 hours (for planning purposes only; work until you finish) Dear Honors Geometry Students, This assignment is designed for

More information

Math 120 Handouts. Functions Worksheet I (will be provided in class) Point Slope Equation of the Line 5. Functions Worksheet III 17

Math 120 Handouts. Functions Worksheet I (will be provided in class) Point Slope Equation of the Line 5. Functions Worksheet III 17 Math 0 Handouts HW # (will be provided to class) Lines: Concepts from Previous Classes (emailed to the class) Parabola Plots # (will be provided in class) Functions Worksheet I (will be provided in class)

More information

Review for Intermediate Algebra (MATD 0390) Final Exam Oct 2009

Review for Intermediate Algebra (MATD 0390) Final Exam Oct 2009 Review for Intermediate Algebra (MATD 090) Final Eam Oct 009 Students are epected to know all relevant formulas, including: All special factoring formulas Equation of a circle All formulas for linear equations

More information

Algebra 1. Math Review Packet. Equations, Inequalities, Linear Functions, Linear Systems, Exponents, Polynomials, Factoring, Quadratics, Radicals

Algebra 1. Math Review Packet. Equations, Inequalities, Linear Functions, Linear Systems, Exponents, Polynomials, Factoring, Quadratics, Radicals Algebra 1 Math Review Packet Equations, Inequalities, Linear Functions, Linear Systems, Exponents, Polynomials, Factoring, Quadratics, Radicals 2017 Math in the Middle 1. Clear parentheses using the distributive

More information

Mathematics 2201 Midterm Exam Review

Mathematics 2201 Midterm Exam Review Mathematics 0 Midterm Eam Review Chapter : Radicals Chapter : Quadratic Functions Chapter 7: Quadratic Equations. Evaluate: 8 (A) (B) (C) (D). Epress as an entire radical. (A) (B) (C) (D). What is the

More information

2. If the discriminant of a quadratic equation is zero, then there (A) are 2 imaginary roots (B) is 1 rational root

2. If the discriminant of a quadratic equation is zero, then there (A) are 2 imaginary roots (B) is 1 rational root Academic Algebra II 1 st Semester Exam Mr. Pleacher Name I. Multiple Choice 1. Which is the solution of x 1 3x + 7? (A) x -4 (B) x 4 (C) x -4 (D) x 4. If the discriminant of a quadratic equation is zero,

More information

SUMMER MATH PACKET for students

SUMMER MATH PACKET for students SUMMER MATH PACKET for students entering 9 th grade Geometry (2018) Dear Students, Welcome to Ma ayanot. We are very happy that you will be here. The teachers in the math department are looking forward

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

Lesson

Lesson Lesson 28 Zeros of a function: - the inputs that make the function equal to zero (same values as the x- coordinates of the x-intercepts) o if ( ), ( ) when o zeros are 2 and - when a function is graphed,

More information

Math 20 Final Review. Factor completely. a x bx a y by. 2x 162. from. 10) Factor out

Math 20 Final Review. Factor completely. a x bx a y by. 2x 162. from. 10) Factor out Math 0 Final Review Factor completely ) 6 ) 6 0 ) a b a y by ) n n ) 0 y 6) y 6 7) 6 8 y 6 yz 8) 9y 0y 9) ( ) ( ) 0) Factor out from 6 0 ) Given P ( ) 6 a) Using the Factor Theorem determine if is a factor

More information

Algebra II. A2.1.1 Recognize and graph various types of functions, including polynomial, rational, and algebraic functions.

Algebra II. A2.1.1 Recognize and graph various types of functions, including polynomial, rational, and algebraic functions. Standard 1: Relations and Functions Students graph relations and functions and find zeros. They use function notation and combine functions by composition. They interpret functions in given situations.

More information

Answer the following questions using a fraction and a percent (round to the nearest tenth of a percent).

Answer the following questions using a fraction and a percent (round to the nearest tenth of a percent). ALGEBRA 1 Ch 10 Closure Solving Comple Equations Name: Two-Way Tables: A simple random sample of adults in a metropolitan area was selected and a survey was administered to determine the relationship between

More information

Math Analysis/Honors Math Analysis Summer Assignment

Math Analysis/Honors Math Analysis Summer Assignment Math Analysis/Honors Math Analysis Summer Assignment To be successful in Math Analysis or Honors Math Analysis, a full understanding of the topics listed below is required prior to the school year. To

More information

PreCalculus. American Heritage Upper School Summer Math Packet

PreCalculus. American Heritage Upper School Summer Math Packet ! PreCalculus American Heritage Upper School Summer Math Packet All Upper School American Heritage math students are required to complete a summer math packet. This packet is intended for all students

More information

AP Calculus AB Summer Assignment 2018

AP Calculus AB Summer Assignment 2018 AP Calculus AB Summer Assignment 018 Name: Date Submitted: 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 eperience

More information

ALGEBRA. COPYRIGHT 1996 Mark Twain Media, Inc. ISBN Printing No EB

ALGEBRA. COPYRIGHT 1996 Mark Twain Media, Inc. ISBN Printing No EB ALGEBRA By Don Blattner and Myrl Shireman COPYRIGHT 1996 Mark Twain Media, Inc. ISBN 978-1-58037-826-0 Printing No. 1874-EB Mark Twain Media, Inc., Publishers Distributed by Carson-Dellosa Publishing Company,

More information

Algebra 2-2nd Semester Exam Review 11

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

More information

Pre-Calculus 110 Review

Pre-Calculus 110 Review Pre-Calculus 0 eview Trigonometry (eference Chapter, Sections. -., pages 74-99) Outcomes: Demonstrate an understanding of angles in standard position, 0 60 Solve problems, using the three primary trigonometric

More information

Analysis. The student was expected to know and use the Pythagorean theorem to find the missing side. a 2 + b 2 = c 2

Analysis. The student was expected to know and use the Pythagorean theorem to find the missing side. a 2 + b 2 = c 2 Analysis. Correct Answer : meters (m) The student was epected to know and use the Pythagorean theorem to find the missing side. a + b c 8 + 7 64 + 89 89 64 SKILL: Use the Pythagorean theorem to find the

More information

Quadratic Equations and Functions

Quadratic Equations and Functions 50 Quadratic Equations and Functions In this chapter, we discuss various ways of solving quadratic equations, aaxx 2 + bbbb + cc 0, including equations quadratic in form, such as xx 2 + xx 1 20 0, and

More information

Math 1050 Final Exam Form A College Algebra Fall Semester Student ID ID Verification Section Number

Math 1050 Final Exam Form A College Algebra Fall Semester Student ID ID Verification Section Number Math 1050 Final Eam Form A College Algebra Fall Semester 2010 Instructor Name Student ID ID Verification Section Number Time Limit: 120 minutes Graphing calculators without CAS are allowed. All problems

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 1 Final Eam Review Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve. 1) - - 6 = - + 7 1) ) 6 + 7(- - ) = -8 - ) ) - t + t = 6 t + 1 ) Solve

More information

Pre-Calculus Summer Math Packet 2018 Multiple Choice

Pre-Calculus Summer Math Packet 2018 Multiple Choice Pre-Calculus Summer Math Packet 208 Multiple Choice Page A Complete all work on separate loose-leaf or graph paper. Solve problems without using a calculator. Write the answers to multiple choice questions

More information

Intermediate Algebra Semester Summary Exercises. 1 Ah C. b = h

Intermediate Algebra Semester Summary Exercises. 1 Ah C. b = h . Solve: 3x + 8 = 3 + 8x + 3x A. x = B. x = 4 C. x = 8 8 D. x =. Solve: w 3 w 5 6 8 A. w = 4 B. w = C. w = 4 D. w = 60 3. Solve: 3(x ) + 4 = 4(x + ) A. x = 7 B. x = 5 C. x = D. x = 4. The perimeter of

More information

BRONX COMMUNITY COLLEGE of the City University of New York DEPARTMENT OF MATHEMATICS & COMPUTER SCIENCE. MTH 05 Review Sheet

BRONX COMMUNITY COLLEGE of the City University of New York DEPARTMENT OF MATHEMATICS & COMPUTER SCIENCE. MTH 05 Review Sheet BRONX COMMUNITY COLLEGE of the Cit Universit of New York DEPARTMENT OF MATHEMATICS & COMPUTER SCIENCE MTH 05 Review Sheet Go to http://www.cun.edu/testing for more information on the CUNY Elementar Algebra

More information

Transition to College Math and Statistics

Transition to College Math and Statistics Transition to College Math and Statistics Summer Work 016 due date: third day of class estimated time: 10 hours (for planning purposes only; work until you finish) Dear College Algebra Students, This assignment

More information

West Essex Regional School District. AP Calculus AB. Summer Packet

West Essex Regional School District. AP Calculus AB. Summer Packet West Esse Regional School District AP Calculus AB Summer Packet 05-06 Calculus AB Calculus AB covers the equivalent of a one semester college calculus course. Our focus will be on differential and integral

More information

Online Courses for High School Students

Online Courses for High School Students Online Courses for High School Students 1-888-972-6237 Algebra I Course Description: Students explore the tools of algebra and learn to identify the structure and properties of the real number system;

More information

Math 1051 Moodle Quiz Solutions

Math 1051 Moodle Quiz Solutions Math 1 Moodle Quiz Solutions There is a one question Moodle quiz associated with most lectures. A quiz will open the day of the lecture and close at midnight on the day before the net lecture (e.g., a

More information

ALGEBRA I END-OF-COURSE EXAM: PRACTICE TEST

ALGEBRA I END-OF-COURSE EXAM: PRACTICE TEST Page 1 ALGEBRA I END-OF-COURSE EXAM: PRACTICE TEST 1. Order the following numbers from least to greatest:, 6, 8.7 10 0, 19 b. 19,, 8.7 100, 6 6, 8.7 10 0,, 19 c. d. 8.7 10 0,, 19, 6, 6, 19, 8.7 100. If

More information

Version B QP1-14,18-24, Calc ,App B-D

Version B QP1-14,18-24, Calc ,App B-D MATH 00 Test Fall 06 QP-,8-, Calc.-.,App B-D Student s Printed Name: _Key_& Grading Guidelines CUID: Instructor: Section # : You are not permitted to use a calculator on any portion of this test. You are

More information

Section 5.5 Complex Numbers

Section 5.5 Complex Numbers Name: Period: Section 5.5 Comple Numbers Objective(s): Perform operations with comple numbers. Essential Question: Tell whether the statement is true or false, and justify your answer. Every comple number

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