Algebra II Midterm Exam Review Packet

Size: px
Start display at page:

Download "Algebra II Midterm Exam Review Packet"

Transcription

1 Algebra II Midterm Eam Review Packet Name: Hour:

2 CHAPTER 1 Midterm Review Evaluate the power Find the value of each epression given the value of each variable when when when 8. y when and y 7 Simplify the epression y y

3 Solve the equation. Check your solution. 1. 7s 1. 5c (6w ) y y 9 Solve each equation for y y y

4 CHAPTER Midterm Review Identify the domain and range. Then tell whether the relation is a function {(, ), (, 0), (0, ), (, 0), (, )} Domain: Range: Domain: Function: YES NO Range: Domain: Range: Function: YES NO Evaluate the function when.. h 6 Function: YES NO 5. f 5 6. v 1 Find the slope of the line passing through the given points.,8 1,7 5, 1 5, , 8, m = m = m = Find the slope and y-intercept of the line. Then graph the equation. 10. y y 5 m = b = (, ) m = b = (, ) 1. y m = b = (, )

5 Write each form of a line. SLOPE INTERCEPT FORM: POINT SLOPE FORM: Write an equation of the line in slope intercept form given the slope and a point. 1. slope = and goes through the point (1, ) 1. slope = ½ and goes through the point (, ) Equation Equation PARALLEL LINES HAVE THE SLOPE. PERPENDICULAR LINES HAVE SLOPES. Given the equation of a line, write the slope of a parallel line and the slope of a perpendicular line. 16. y m = 15. y 1 m = Slope of a parallel line: Slope of a parallel line: Slope of a perpendicular line: Write an equation of a parallel line. 17. passes through (7, ), parallel to the line y 1 Slope of a perpendicular line: 18. passes through (, 5), parallel to the line y 1 Equation Equation

6 Write an equation of a perpendicular line. 19.passes through (, 16), perpendicular to the line y 8 0. passes through (1, 1), perpendicular to the line y 5 Equation Equation Draw a scatter plot of the data. Determine whether the data has positive, negative, or no correlation. 1. Match each inequality on the left with its graph on the right.. y A.. y B. C.. y

7 Graph the inequality in a coordinate plane. 5. y 6. y y 7 CHAPTER 5 Midterm Review STANDARD FORM: VERTEX FORM: Write each quadratic equation in standard form y. y. y 6

8 For #-5, Given the quadratic in STANDARD FORM, y a b c : find all the information and then graph it. b Use the formula to help. a. y y 6 8 a = b = c = a = b = c = Y-intercept Verte (, ) Ais of Symmetry = Y-intercept Verte (, ) Ais of Symmetry = Opens Up or Opens Down Opens Up or Opens Down Maimum or Minimum Ma/Min Value Maimum or Minimum Ma/Min Value For #6-7, Given the quadratic equation in VERTEX FORM, 6. y a = h = k = y a( h) k, find all the information and then graph. Verte (, ) Ais of Symmetry = Opens Up or Opens Down Maimum or Minimum Ma/Min Value Y-intercept:

9 7. y a = h = k = Verte (, ) Ais of Symmetry = Opens Up or Opens Down Maimum or Minimum Ma/Min Value Y-intercept: (a little big sorry!) Identify which graph matches each equation. Use what you know about a, h, and k to help you match the graphs! A. B. C. 8. y 1 9. y y 1 Factor the following epressions completely

10 Solve the quadratic equation by factoring. Don t forget to set the equation equal to 0 first!

11 Simplify the following radical epressions

12 Rationalize the denominators i 6. 5 i 7. i i 8. 6i i 9. i 5i 0. 6i1 i

13 Find the solutions of each equation using square roots ( b) Solve the quadratic equations using the Quadratic Formula ( b) ( a) ( )( a)( c)

14 Find the discriminant and describe the nature of the roots for each quadratic equation Discriminant: Discriminant: Nature of the roots: Nature of the roots: CHAPTER 6 Midterm Review EXPONENT PROPERTIES Simplify the epressions y y y

15 5 9. y y 8 y y y z 1. 6 y z 10ab a b 5y y y a b c a b c Tell whether the function is a polynomial function, if it is write it in standard form, find the degree, determine the leading coefficient, determine the constant and determine the type. 1. ( ) 5 5 f 7. f ( ) 7 1. f ( ) 7 Polynomial? Yes or No Polynomial? Yes or No Polynomial? Yes or No Standard form: Degree= Leading coefficient= Constant= Type of function: Standard form: Degree= Leading coefficient= Constant= Type of function: Standard form: Degree= Leading coefficient= Constant= Type of function:

16 Multiply

17 Divide using synthetic division Factor the polynomial in quadratic form

18 Find ALL of the solutions for each polynomial. Don t forget to use the degree to help determine how many TOTAL solutions/roots there should be! **This is factored already! Match the following equation with its graph. Use the solutions/roots to help match! Think about where the solutions/roots are on the graph. y. 5. y 1 6. y 1

19 Use the following graph to answer each question. 7. How many turning points does the polynomial graphed have? How many real zeros does the polynomial have? Describe the end behavior of the graph: y y 8. How many turning points does the polynomial graphed have? How many real zeros does the polynomial have? Describe the end behavior of the graph: y y 9. How many turning points does the polynomial graphed have? How many real zeros does the polynomial have? Describe the end behavior of the graph: y y

20 CHAPTER 9 Midterm Review Determine the asymptotes of each function y. y 5. y 6 = y = = y = = y = Determine the domain and the range of each function y 5. y y 5 Domain: Range: Domain: Range: Domain: Range: Match each graph to its equation. Use the asymptotes to help! A. B. C. 7. y 8. y 1 9. y Simplify a a 5a Find the product

21 Find the quotient Simplify each epression Simplify the following epressions

22 Solve the equations Make sure everything is on your note card for the eam! Just a little more studying and you are going to ROCK this eam.

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

Department of Mathematics, University of Wisconsin-Madison Math 114 Worksheet Sections (4.1),

Department of Mathematics, University of Wisconsin-Madison Math 114 Worksheet Sections (4.1), Department of Mathematics, University of Wisconsin-Madison Math 114 Worksheet Sections (4.1), 4.-4.6 1. Find the polynomial function with zeros: -1 (multiplicity ) and 1 (multiplicity ) whose graph passes

More information

ALGEBRA SUMMER MATH PACKET

ALGEBRA SUMMER MATH PACKET Algebra Summer Packet 0 NAME DATE ALGEBRA SUMMER MATH PACKET Write an algebraic epression to represent the following verbal epressions. ) Double the sum of a number and. Solve each equation. ) + y = )

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

Scope and Sequence Mathematics Algebra 2 400

Scope and Sequence Mathematics Algebra 2 400 Scope and Sequence Mathematics Algebra 2 400 Description : Students will study real numbers, complex numbers, functions, exponents, logarithms, graphs, variation, systems of equations and inequalities,

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

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

Algebra 2A Unit 1 Week 1 Day Activity Unit 1 Week 2 Day Activity Unit 1 Week 3 Day Activity Unit 2 Week 1 Day Activity

Algebra 2A Unit 1 Week 1 Day Activity Unit 1 Week 2 Day Activity Unit 1 Week 3 Day Activity Unit 2 Week 1 Day Activity Algebra 2A Unit 1 Week 1 1 Pretest Unit 1 2 Evaluating Rational Expressions 3 Restrictions on Rational Expressions 4 Equivalent Forms of Rational Expressions 5 Simplifying Rational Expressions Unit 1 Week

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

Questions From Old Exams

Questions From Old Exams MATH 0 OLD EXAM QUESTIONS FOR EXAM 3 ON CHAPTERS 3 AND 4 PAGE Questions From Old Eams. Write the equation of a quadratic function whose graph has the following characteristics: It opens down; it is stretched

More information

Algebra 2 Chapter 3 Part 1 Practice Test 2018

Algebra 2 Chapter 3 Part 1 Practice Test 2018 Synthetic divisions in this worksheet were performed using the Algebra App for PCs that is available at www.mathguy.us/pcapps.php. 1) Given the polynomial f x x 5x 2x 24 and factor x 2, factor completely.

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

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

f ( x ) = x Determine the implied domain of the given function. Express your answer in interval notation.

f ( x ) = x Determine the implied domain of the given function. Express your answer in interval notation. Test Review Section.. Given the following function: f ( ) = + 5 - Determine the implied domain of the given function. Epress your answer in interval notation.. Find the verte of the following quadratic

More information

MATH 8. Unit 1: Rational and Irrational Numbers (Term 1) Unit 2: Using Algebraic Properties to Simplify Expressions - Probability

MATH 8. Unit 1: Rational and Irrational Numbers (Term 1) Unit 2: Using Algebraic Properties to Simplify Expressions - Probability MATH 8 Unit 1: Rational and Irrational Numbers (Term 1) 1. I CAN write an algebraic expression for a given phrase. 2. I CAN define a variable and write an equation given a relationship. 3. I CAN use order

More information

x 20 f ( x ) = x Determine the implied domain of the given function. Express your answer in interval notation.

x 20 f ( x ) = x Determine the implied domain of the given function. Express your answer in interval notation. Test 2 Review 1. Given the following relation: 5 2 + = -6 - y Step 1. Rewrite the relation as a function of. Step 2. Using the answer from step 1, evaluate the function at = -1. Step. Using the answer

More information

MA.8.1 Students will apply properties of the real number system to simplify algebraic expressions and solve linear equations.

MA.8.1 Students will apply properties of the real number system to simplify algebraic expressions and solve linear equations. Focus Statement: Students will solve multi-step linear, quadratic, and compound equations and inequalities using the algebraic properties of the real number system. They will also graph linear and quadratic

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 7 HONORS. Unit 1: Rational and Irrational Numbers (Term 1) Unit 2: Using Algebraic Properties to Simplify Expressions - Probability

MATH 7 HONORS. Unit 1: Rational and Irrational Numbers (Term 1) Unit 2: Using Algebraic Properties to Simplify Expressions - Probability MATH 7 HONORS Unit 1: Rational and Irrational Numbers (Term 1) 1. I CAN write an algebraic expression for a given phrase. 2. I CAN define a variable and write an equation given a relationship. 3. I CAN

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

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

evaluate functions, expressed in function notation, given one or more elements in their domains

evaluate functions, expressed in function notation, given one or more elements in their domains Describing Linear Functions A.3 Linear functions, equations, and inequalities. The student writes and represents linear functions in multiple ways, with and without technology. The student demonstrates

More information

Math 1051, Robertson, Exam 3 on Chapters 3 & 4 on Friday 12 November 2010 KEY page 1

Math 1051, Robertson, Exam 3 on Chapters 3 & 4 on Friday 12 November 2010 KEY page 1 Math, Robertson, Eam on Chapters & on Friday November 0 KEY page. You earned points out of. Ans: f 6 Write the equation of a quadratic function whose graph has the following characteristics: It opens down;

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

EPPING HIGH SCHOOL ALGEBRA 2 Concepts COURSE SYLLABUS

EPPING HIGH SCHOOL ALGEBRA 2 Concepts COURSE SYLLABUS Course Title: Algebra 2 Concepts Course Description Algebra 2 Concepts is designed for students who wish to take an Algebra 2 course at a non college prep level. The class will begin with a review of Algebra

More information

Directions: Please read questions carefully. It is recommended that you do the Short Answer Section prior to doing the Multiple Choice.

Directions: Please read questions carefully. It is recommended that you do the Short Answer Section prior to doing the Multiple Choice. AP Calculus AB SUMMER ASSIGNMENT Multiple Choice Section Directions: Please read questions carefully It is recommended that you do the Short Answer Section prior to doing the Multiple Choice Show all work

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

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

A Partial List of Topics: Math Spring 2009

A Partial List of Topics: Math Spring 2009 A Partial List of Topics: Math 112 - Spring 2009 This is a partial compilation of a majority of the topics covered this semester and may not include everything which might appear on the exam. The purpose

More information

Definition 8.1 Two inequalities are equivalent if they have the same solution set. Add or Subtract the same value on both sides of the inequality.

Definition 8.1 Two inequalities are equivalent if they have the same solution set. Add or Subtract the same value on both sides of the inequality. 8 Inequalities Concepts: Equivalent Inequalities Linear and Nonlinear Inequalities Absolute Value Inequalities (Sections.6 and.) 8. Equivalent Inequalities Definition 8. Two inequalities are equivalent

More information

of multiplicity two. The sign of the polynomial is shown in the table below

of multiplicity two. The sign of the polynomial is shown in the table below 161 Precalculus 1 Review 5 Problem 1 Graph the polynomial function P( ) ( ) ( 1). Solution The polynomial is of degree 4 and therefore it is positive to the left of its smallest real root and to the right

More information

Pacing Guide Algebra 1

Pacing Guide Algebra 1 Pacing Guide Algebra Chapter : Equations and Inequalities (one variable) Section Section Title Learning Target(s) I can. Evaluate and Simplify Algebraic Expressions. Evaluate and simplify numeric and algebraic

More information

PAP Geometry Summer Work- Show your work

PAP Geometry Summer Work- Show your work PRE- PAP Geometry Summer Work- Show your work Solve the equation. Check your solution. 1. 2. Solve the equation. 3. 4. 5. Describe the values of c for which the equation has no solution. Write the sentence

More information

Solving Equations Quick Reference

Solving Equations Quick Reference Solving Equations Quick Reference Integer Rules Addition: If the signs are the same, add the numbers and keep the sign. If the signs are different, subtract the numbers and keep the sign of the number

More information

Catholic Central High School

Catholic Central High School Catholic Central High School Algebra II Practice Examination I Instructions: 1. Show all work on the test copy itself for every problem where work is required. Points may be deducted if insufficient or

More information

List of PreCalculus Algebra Mathematical Concept Practice Sheets (Updated Spring 2015)

List 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 information

CALCULUS BASIC SUMMER REVIEW

CALCULUS BASIC SUMMER REVIEW NAME CALCULUS BASIC SUMMER REVIEW Slope of a non vertical line: rise y y y m run Point Slope Equation: y y m( ) The slope is m and a point on your line is, ). ( y Slope-Intercept Equation: y m b slope=

More information

Algebra II: Chapter 4 Semester Review Multiple Choice: Select the letter that best answers the question. D. Vertex: ( 1, 3.5) Max. Value: 1.

Algebra II: Chapter 4 Semester Review Multiple Choice: Select the letter that best answers the question. D. Vertex: ( 1, 3.5) Max. Value: 1. Algebra II: Chapter Semester Review Name Multiple Choice: Select the letter that best answers the question. 1. Determine the vertex and axis of symmetry of the. Determine the vertex and the maximum or

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

MAT116 Final Review Session Chapter 3: Polynomial and Rational Functions

MAT116 Final Review Session Chapter 3: Polynomial and Rational Functions MAT116 Final Review Session Chapter 3: Polynomial and Rational Functions Quadratic Function A quadratic function is defined by a quadratic or second-degree polynomial. Standard Form f x = ax 2 + bx + c,

More information

PreCalculus: Semester 1 Final Exam Review

PreCalculus: Semester 1 Final Exam Review Name: Class: Date: ID: A PreCalculus: Semester 1 Final Exam Review Short Answer 1. Determine whether the relation represents a function. If it is a function, state the domain and range. 9. Find the domain

More information

Math-3 Lesson 4-6 Polynomial and Rational Inequalities

Math-3 Lesson 4-6 Polynomial and Rational Inequalities Math-3 Lesson 4-6 Polynomial and Rational Inequalities SM3 HANDOUT 4-6 Polynomial and Rational Inequalities Graph the general shape of the equation. y 4 1 Positive lead coefficient, even degree nd degree

More information

Algebra Summer Review Packet

Algebra Summer Review Packet Name: Algebra Summer Review Packet About Algebra 1: Algebra 1 teaches students to think, reason, and communicate mathematically. Students use variables to determine solutions to real world problems. Skills

More information

Precalculus Summer Packet

Precalculus Summer Packet Precalculus Summer Packet These problems are to be completed to the best of your ability by the first day of school You will be given the opportunity to ask questions about problems you found difficult

More information

Algebra I. Course Outline

Algebra 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 information

Learning Module 1 - Basic Algebra Review (Appendix A)

Learning Module 1 - Basic Algebra Review (Appendix A) Learning Module 1 - Basic Algebra Review (Appendix A) Element 1 Real Numbers and Operations on Polynomials (A.1, A.2) Use the properties of real numbers and work with subsets of the real numbers Determine

More information

EPPING HIGH SCHOOL ALGEBRA 2 COURSE SYLLABUS

EPPING HIGH SCHOOL ALGEBRA 2 COURSE SYLLABUS Course Title: Algebra 2 Course Description This course is designed to be the third year of high school mathematics. The material covered is roughly equivalent to that covered in the first Algebra course

More information

MTH103 Section 065 Exam 2. x 2 + 6x + 7 = 2. x 2 + 6x + 5 = 0 (x + 1)(x + 5) = 0

MTH103 Section 065 Exam 2. x 2 + 6x + 7 = 2. x 2 + 6x + 5 = 0 (x + 1)(x + 5) = 0 Absolute Value 1. (10 points) Find all solutions to the following equation: x 2 + 6x + 7 = 2 Solution: You first split this into two equations: x 2 + 6x + 7 = 2 and x 2 + 6x + 7 = 2, and solve each separately.

More information

Beginning Algebra. 1. Review of Pre-Algebra 1.1 Review of Integers 1.2 Review of Fractions

Beginning Algebra. 1. Review of Pre-Algebra 1.1 Review of Integers 1.2 Review of Fractions 1. Review of Pre-Algebra 1.1 Review of Integers 1.2 Review of Fractions Beginning Algebra 1.3 Review of Decimal Numbers and Square Roots 1.4 Review of Percents 1.5 Real Number System 1.6 Translations:

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 2. Background Knowledge/Prior Skills Knows what operation properties hold for operations with matrices

ALGEBRA 2. Background Knowledge/Prior Skills Knows what operation properties hold for operations with matrices ALGEBRA 2 Numbers and Operations Standard: 1 Understands and applies concepts of numbers and operations Power 1: Understands numbers, ways of representing numbers, relationships among numbers, and number

More information

CP Algebra 2 Midterm Review Multiple Choice (40 questions)

CP Algebra 2 Midterm Review Multiple Choice (40 questions) CP Algebra 2 Midterm Review Multiple Choice (40 questions) Evaluate each expression if r = -1, n = 3, t = 12, and w = 1 2. 1. w[t + (t r)] 2. 9r 2 + (n 2 1)t Solve each equation. Check your solution. 3.

More information

Ron Paul Curriculum Mathematics 8 Lesson List

Ron 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 information

ACP ALGEBRA II MIDTERM REVIEW PACKET

ACP ALGEBRA II MIDTERM REVIEW PACKET ACP ALGEBRA II MIDTERM REVIEW PACKET 0-8 Name Per Date This review packet includes new problems and a list of problems from the textbook. The answers to the problems from the textbook can be found in the

More information

Math 120, Sample Final Fall 2015

Math 120, Sample Final Fall 2015 Math 10, Sample Final Fall 015 Disclaimer: This sample final is intended to help students prepare for the final exam The final exam will be similar in structure and type of problems, however the actual

More information

3.1 Power Functions & Polynomial Functions

3.1 Power Functions & Polynomial Functions 3.1 Power Functions & Polynomial Functions A power function is a function that can be represented in the form f() = p, where the base is a variable and the eponent, p, is a number. The Effect of the Power

More information

MATH Spring 2010 Topics per Section

MATH Spring 2010 Topics per Section MATH 101 - Spring 2010 Topics per Section Chapter 1 : These are the topics in ALEKS covered by each Section of the book. Section 1.1 : Section 1.2 : Ordering integers Plotting integers on a number line

More information

A VERTICAL LOOK AT KEY CONCEPTS AND PROCEDURES ALGEBRA I

A VERTICAL LOOK AT KEY CONCEPTS AND PROCEDURES ALGEBRA I A VERTICAL LOOK AT KEY CONCEPTS AND PROCEDURES ALGEBRA I Revised TEKS (2012): Building to Algebra I Linear Functions, Equations, and Inequalities A Vertical Look at Key Concepts and Procedures Determine

More information

Quantile Textbook Report

Quantile Textbook Report Quantile Textbook Report Algebra 1 Author Charles, Randall I., et al StateEdition West Virginia Grade Algebra 1 1 Foundations for Algebra 1.1 Variables and Expressions 750Q 1.2 Order of Operations and

More information

Intermediate Algebra 100A Final Exam Review Fall 2007

Intermediate Algebra 100A Final Exam Review Fall 2007 1 Basic Concepts 1. Sets and Other Basic Concepts Words/Concepts to Know: roster form, set builder notation, union, intersection, real numbers, natural numbers, whole numbers, integers, rational numbers,

More information

Polynomials. Exponents. End Behavior. Writing. Solving Factoring. Graphing. End Behavior. Polynomial Notes. Synthetic Division.

Polynomials. Exponents. End Behavior. Writing. Solving Factoring. Graphing. End Behavior. Polynomial Notes. Synthetic Division. Polynomials Polynomials 1. P 1: Exponents 2. P 2: Factoring Polynomials 3. P 3: End Behavior 4. P 4: Fundamental Theorem of Algebra Writing real root x= 10 or (x+10) local maximum Exponents real root x=10

More information

Semester Review Packet

Semester Review Packet MATH 110: College Algebra Instructor: Reyes Semester Review Packet Remarks: This semester we have made a very detailed study of four classes of functions: Polynomial functions Linear Quadratic Higher degree

More information

Summer Work for students entering PreCalculus

Summer 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 information

Algebra I Unit Report Summary

Algebra 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 information

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

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

More information

Advanced Algebra 2 - Assignment Sheet Chapter 1

Advanced Algebra 2 - Assignment Sheet Chapter 1 Advanced Algebra - Assignment Sheet Chapter #: Real Numbers & Number Operations (.) p. 7 0: 5- odd, 9-55 odd, 69-8 odd. #: Algebraic Expressions & Models (.) p. 4 7: 5-6, 7-55 odd, 59, 6-67, 69-7 odd,

More information

1. Use the properties of exponents to simplify the following expression, writing your answer with only positive exponents.

1. 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 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

MATH 115: Review for Chapter 5

MATH 115: Review for Chapter 5 MATH 5: Review for Chapter 5 Can you find the real zeros of a polynomial function and identify the behavior of the graph of the function at its zeros? For each polynomial function, identify the zeros of

More information

Algebra I Learning Targets Chapter 1: Equations and Inequalities (one variable) Section Section Title Learning Target(s)

Algebra I Learning Targets Chapter 1: Equations and Inequalities (one variable) Section Section Title Learning Target(s) Chapter 1: Equations and Inequalities (one variable) Section Learning Target(s) I can 1.2 Evaluate and Simplify Algebraic Expressions 1. Evaluate and simplify numeric and algebraic expressions (order of

More information

Graphing Rational Functions KEY. (x 4) (x + 2) Factor denominator. y = 0 x = 4, x = -2

Graphing Rational Functions KEY. (x 4) (x + 2) Factor denominator. y = 0 x = 4, x = -2 6 ( 6) Factor numerator 1) f ( ) 8 ( 4) ( + ) Factor denominator n() is of degree: 1 -intercepts: d() is of degree: 6 y 0 4, - Plot the -intercepts. Draw the asymptotes with dotted lines. Then perform

More information

Centerville High School Curriculum Mapping Algebra II 1 st Nine Weeks

Centerville High School Curriculum Mapping Algebra II 1 st Nine Weeks Centerville High School Curriculum Mapping Algebra II 1 st Nine Weeks Chapter/ Lesson Common Core Standard(s) 1-1 SMP1 1. How do you use a number line to graph and order real numbers? 2. How do you identify

More information

Information Knowledge

Information Knowledge ation ledge -How m lio Learner's Name: ALGEBRA II CAPACITY TRANSCRIPT Equations & Inequalities (Chapter 1) [L1.2.1, A1.1.4, A1.2.9, L3.2.1] Linear Equations and (Chapter 2) [L1.2.1, A1.2.9, A2.3.3, A3.1.2,

More information

ALGEBRA II Grades 9-12

ALGEBRA II Grades 9-12 Summer 2015 Units: 10 high school credits UC Requirement Category: c General Description: ALGEBRA II Grades 9-12 Algebra II is a course which further develops the concepts learned in Algebra I. It will

More information

Pre-Calculus MATH 119 Fall Section 1.1. Section objectives. Section 1.3. Section objectives. Section A.10. Section objectives

Pre-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 information

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

Summer Work for students entering PreCalculus

Summer 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 information

MAT 135 In-Class Assignments Answer Key

MAT 135 In-Class Assignments Answer Key MAT 135 In-Class Assignments Answer Key Answers are listed under the heading of each section. Where a section was continued on multiple pages, the answers are all listed under the section heading. If there

More information

Instructional Unit Basic Statistics Algebra II #309 Unit Content Objective Performance Indicator Performance Task State Standards Code:

Instructional Unit Basic Statistics Algebra II #309 Unit Content Objective Performance Indicator Performance Task State Standards Code: Algebra II Instructional Unit Basic Statistics -Displaying data with dotplots and The students will be -Use scientific or graphing -Classroom discussion 2.1.11.A stemplots. able to evaluate calculator

More information

y intercept Gradient Facts Lines that have the same gradient are PARALLEL

y intercept Gradient Facts Lines that have the same gradient are PARALLEL CORE Summar Notes Linear Graphs and Equations = m + c gradient = increase in increase in intercept Gradient Facts Lines that have the same gradient are PARALLEL If lines are PERPENDICULAR then m m = or

More information

Course: Algebra 2 Level: Regular Date: 11/2016 Algebra 2 Curriculum. Unit 3: Quadratic Functions 36 Days 18 Days

Course: Algebra 2 Level: Regular Date: 11/2016 Algebra 2 Curriculum. Unit 3: Quadratic Functions 36 Days 18 Days Algebra 2 Curriculum Chambersburg Area School District Course Map Timeline 2016 Units *Note: unit numbers are for reference only and do not indicate the order in which concepts need to be taught Unit 1:

More information

Homework. Basic properties of real numbers. Adding, subtracting, multiplying and dividing real numbers. Solve one step inequalities with integers.

Homework. Basic properties of real numbers. Adding, subtracting, multiplying and dividing real numbers. Solve one step inequalities with integers. Morgan County School District Re-3 A.P. Calculus August What is the language of algebra? Graphing real numbers. Comparing and ordering real numbers. Finding absolute value. September How do you solve one

More information

Summer Packet Honors PreCalculus

Summer Packet Honors PreCalculus Summer Packet Honors PreCalculus Honors Pre-Calculus is a demanding course that relies heavily upon a student s algebra, geometry, and trigonometry skills. You are epected to know these topics before entering

More information

Part I: Multiple Choice Questions

Part I: Multiple Choice Questions Name: Part I: Multiple Choice Questions. What is the slope of the line y=3 A) 0 B) -3 ) C) 3 D) Undefined. What is the slope of the line perpendicular to the line x + 4y = 3 A) -/ B) / ) C) - D) 3. Find

More information

ALGEBRA 2 MIDTERM REVIEW. Simplify and evaluate the expression for the given value of the variable:

ALGEBRA 2 MIDTERM REVIEW. Simplify and evaluate the expression for the given value of the variable: ALGEBRA 2 MIDTERM REVIEW Evaluating Expressions: 1.) -3 + 3(-2+ 5) 2 2.) ( -5 ) 2 3.) -5 2 Simplify and evaluate the expression for the given value of the variable: 4.) f(x) = x 2 + x 8; find f(-2) 5.)

More information

To get horizontal and slant asymptotes algebraically we need to know about end behaviour for rational functions.

To get horizontal and slant asymptotes algebraically we need to know about end behaviour for rational functions. Concepts: Horizontal Asymptotes, Vertical Asymptotes, Slant (Oblique) Asymptotes, Transforming Reciprocal Function, Sketching Rational Functions, Solving Inequalities using Sign Charts. Rational Function

More information

Secondary Math 2 Honors Unit 4 Graphing Quadratic Functions

Secondary Math 2 Honors Unit 4 Graphing Quadratic Functions SMH Secondary Math Honors Unit 4 Graphing Quadratic Functions 4.0 Forms of Quadratic Functions Form: ( ) f = a + b + c, where a 0. There are no parentheses. f = 3 + 7 Eample: ( ) Form: f ( ) = a( p)( q),

More information

4.5 Rational functions.

4.5 Rational functions. 4.5 Rational functions. We have studied graphs of polynomials and we understand the graphical significance of the zeros of the polynomial and their multiplicities. Now we are ready to etend these eplorations

More information

Princeton High School

Princeton High School Princeton High School Mathematics Department PreCalculus Summer Assignment Summer assignment vision and purpose: The Mathematics Department of Princeton Public Schools looks to build both confidence and

More information

Algebra 1 Course Syllabus. Algebra 1, Part 1

Algebra 1 Course Syllabus. Algebra 1, Part 1 Course Description: Algebra 1 Course Syllabus In Algebra 1, students will study the foundations of algebra, including the understanding of variables, expressions, and working with real numbers to simplify

More information

ALGEBRA 1B GOALS. 1. The student should be able to use mathematical properties to simplify algebraic expressions.

ALGEBRA 1B GOALS. 1. The student should be able to use mathematical properties to simplify algebraic expressions. GOALS 1. The student should be able to use mathematical properties to simplify algebraic expressions. 2. The student should be able to add, subtract, multiply, divide, and compare real numbers. 3. The

More information

Math 3C Midterm 1 Study Guide

Math 3C Midterm 1 Study Guide Math 3C Midterm 1 Study Guide October 23, 2014 Acknowledgement I want to say thanks to Mark Kempton for letting me update this study guide for my class. General Information: The test will be held Thursday,

More information

Muskogee Public Schools Curriculum Map

Muskogee Public Schools Curriculum Map Muskogee Public Schools Curriculum Map 2009-20010 Course: Algebra II Grade Level: 9-12 Nine- 1 st Nine Standard 1: Number Systems and Algebraic Operations - The student will perform operations with rational,

More information

Harbor Creek School District. Algebra II Advanced. Concepts Timeframe Skills Assessment Standards Linear Equations Inequalities

Harbor Creek School District. Algebra II Advanced. Concepts Timeframe Skills Assessment Standards Linear Equations Inequalities Algebra II Advanced and Graphing and Solving Linear Linear Absolute Value Relation vs. Standard Forms of Linear Slope Parallel & Perpendicular Lines Scatterplot & Linear Regression Graphing linear Absolute

More information

CA-A1-B Interpret the dependent and independent variables in the context of functions.

CA-A1-B Interpret the dependent and independent variables in the context of functions. STEM Units of Study The STEM course features four units of instruction and a capstone project. This document clearly articulates a list of the key performance indicators that are included in the units.

More information

Algebra I Course Online/Outcomes

Algebra I Course Online/Outcomes Teacher: Abdallah Jabr Algebra I Course Online/Outcomes Michigan Islamic Academy e-mail: abdallah.jaber@mia-aa.org Text: Algebra I (Common Core 2011) Course Description: Algebra I begins with the development

More information

Number, Number Sense, and Operations Data Analysis and Probability

Number, Number Sense, and Operations Data Analysis and Probability Algebra 1 Unit 1 Numbers 3 weeks Number, Number Sense, and Operations Data Analysis and Probability NC Apply properties of operations and the real number system, and justify when they hold for a set of

More information

Booker T. Washington Summer Math Packet 2015 Completed by Thursday, August 20, 2015 Each student will need to print the packet from our website.

Booker T. Washington Summer Math Packet 2015 Completed by Thursday, August 20, 2015 Each student will need to print the packet from our website. BTW Math Packet Advanced Math Name Booker T. Washington Summer Math Packet 2015 Completed by Thursday, August 20, 2015 Each student will need to print the packet from our website. Go to the BTW website

More information

Pre-Calculus Midterm Practice Test (Units 1 through 3)

Pre-Calculus Midterm Practice Test (Units 1 through 3) Name: Date: Period: Pre-Calculus Midterm Practice Test (Units 1 through 3) Learning Target 1A I can describe a set of numbers in a variety of ways. 1. Write the following inequalities in interval notation.

More information