35 38 Absolute Value Quiz and Unit 8 Review.notebook April 18, Learning Target 2ab: I can write and solve absolute value equations.

Size: px
Start display at page:

Download "35 38 Absolute Value Quiz and Unit 8 Review.notebook April 18, Learning Target 2ab: I can write and solve absolute value equations."

Transcription

1 Unit 8 Quiz #3 Absolute Value Name: Hour: Learning Target 2ab: I can write and solve absolute value equations. Solve each absolute value equation. x + 5 = 3 3 x + 5 = 6 Learning Target 3abc: I can write, solve, and graph absolute value inequalities. Solve and graph each inequality. 7 + x > 9 3x A cereal manufacture puts 31 ounces of cereal in each box. The box can be off by 1.5 ounces. Write an absolute value inequality that displays the acceptable amount of cereal that can be in a box.

2 Unit 8 Review

3 Unit 8 REVIEW Name: Linear Systems inequalities absolute value Hour: LT #1: I can solve systems of linear equations using a table, graph, and equations. Solve each system algebraically. 1. { 2. y = 2x + 5 y = 5x + 23 y = 2x 1 { y = x 7 (, ) (, ) Solve each system by graphing. y = 3x 3 3. { y = 2x + 2 y (, ) 4. y = 2x + 5 { y = x 1 y (, ) x x 5. LT #2: I can identify that a system of linear equations has either no solutions, one solution, or infinitely many solutions. How many solutions are there to the system? If one, then write as a n ordered pair. Show your work! { y = x 5 y = 2 y { { x + 2y = 4 { 6. y = x + 4 y x x solutions? solutions?

4 7. { y 4 = x 4y 12 = 4x y { { 2y = 4x + 2 { 8. 3y + 6x = 3 y x x solutions? solutions? LT #4a: I can write and graph inequalities. Graph the inequality. 9. x < x > b < x < x < x The temperature out side is at least 22 degrees. Write and Graph the inequality. 16. My brothers ages are at least 7 and less than 15. inequality inequality graph graph

5 Write the inequality o o 22. o LT 4bc: I can solve inequalities. 23. a + 7 > a 6 > x x 8 > x 5x < x

6 LT 5a: I can solve absolute value equations x =9 32. x 8 = x 2 = x 3 = x + 6 = 30 LT 5b: I can write, solve and graph absolute value inequalities x + 8 < x x + 5 2x > 10 Review Answers 1. (6, 7) 2. (2, 5) 3. (1, 0) 4. ( 2, 1) 5. 1 solution; (3, 2) 6. 1 solution; ( 4, 0) 7. no solutions 8. infinite solutions t a < x x > x x < x x < a > a > x x < x > x x = 9 or x = 23 or x = 10 or x = 3 or x = 6 or x < 4 and x > x 6 or x x > 5 or x < 15

7 IF Solve the inequality. Check the solution. 1 x 10 > 9 3 You are preheating an oven to 430 F. The measured temperature has an absolute deviation of at most 6 F. Write an inequality. Look at notes on p.33 for formula.

8 Practice p.34 Answers 1. D 2. B x should be filled in between dots, left dot should be open. 5. x B 7. C 8. B 9. B 10. x > 6 or x < x > 9 or x < 13

9 Everything due Tomorrow!!!! (Quiz corrections CW stamps Practice Stamps)

10 Quiz Now. Due Tomorrow -11 CW stamps -11 Practice stamps -Quiz Corrections (3) -systems -inequality -absolute value -Unit 8 Review packet -Test note card -Study study study! Open notes Calculator Show all work

11

12

13

14

15 Quiz answer key

16 Attachments multi step inequalities.pdf

Math 4: Advanced Algebra Ms. Sheppard-Brick B Quiz Review Learning Targets

Math 4: Advanced Algebra Ms. Sheppard-Brick B Quiz Review Learning Targets 5B Quiz Review Learning Targets 4.6 5.9 Key Facts We learned two ways to solve a system of equations using algebra: o The substitution method! Pick one equation and solve for either x or y! Take that result

More information

Accelerated CP Geometry Summer Packet

Accelerated CP Geometry Summer Packet Accelerated CP Geometry Summer Packet The math teachers at Cherry Creek High School want each student to be successful, no matter which level or math course the student is in. We know that it is critical

More information

Algebra 2 Summer Review Packet

Algebra 2 Summer Review Packet Algebra Summer Review Packet Welcome to Algebra! Attached you will find the learning targets your teacher thinks you should know BEFORE you come to class in the fall and problems to help you practice these

More information

Lesson 3-7: Absolute Value Equations Name:

Lesson 3-7: Absolute Value Equations Name: Lesson 3-7: Absolute Value Equations Name: In this activity, we will learn to solve absolute value equations. An absolute value equation is any equation that contains an absolute value symbol. To start,

More information

Math 4: Advanced Algebra Ms. Sheppard-Brick A Quiz Review Learning Targets

Math 4: Advanced Algebra Ms. Sheppard-Brick A Quiz Review Learning Targets 5A Quiz Review Learning Targets 4.4 5.5 Key Facts Graphing one-variable inequalities (ex. x < 4 ) o Perform algebra steps to get x alone! If you multiply or divide by a negative number, you must flip the

More information

Quarter 1 Calculus Test. The attached problems do not comprise a comprehensive test review. Test topics

Quarter 1 Calculus Test. The attached problems do not comprise a comprehensive test review. Test topics Quarter 1 Calculus Test The attached problems do not comprise a comprehensive test review. As review, use: this packet your 3 quizzes and first test your 3 quiz review packets and first test review packet

More information

Notes 6-1. Solving Inequalities: Addition and Subtraction. y 2x 3

Notes 6-1. Solving Inequalities: Addition and Subtraction. y 2x 3 Notes 6-1 Solving Inequalities: Addition and Subtraction y 2x 3 I. Review: Inequalities A. An inequality is a statement that two quantities are not equal. The quantities are compared by using the following

More information

Algebra I Keystone Quiz Linear Inequalities - (A ) Systems Of Inequalities, (A ) Interpret Solutions To Inequality Systems

Algebra I Keystone Quiz Linear Inequalities - (A ) Systems Of Inequalities, (A ) Interpret Solutions To Inequality Systems Algebra I Keystone Quiz Linear Inequalities - (A1.1.3.2.1) Systems Of Inequalities, (A1.1.3.2.2) Interpret Solutions To Inequality Systems 1) Student Name: Teacher Name: Jared George Date: Score: The linear

More information

Natural Numbers: Also called the counting numbers The set of natural numbers is represented by the symbol,.

Natural Numbers: Also called the counting numbers The set of natural numbers is represented by the symbol,. Name Period Date: Topic: Real Numbers and Their Graphs Standard: 9-12.A.1.3 Objective: Essential Question: What is the significance of a point on a number line? Determine the relative position on the number

More information

Name Class Date. t = = 10m. n + 19 = = 2f + 9

Name Class Date. t = = 10m. n + 19 = = 2f + 9 1-4 Reteaching Solving Equations To solve an equation that contains a variable, find all of the values of the variable that make the equation true. Use the equality properties of real numbers and inverse

More information

Order of Operations. Real numbers

Order of Operations. Real numbers Order of Operations When simplifying algebraic expressions we use the following order: 1. Perform operations within a parenthesis. 2. Evaluate exponents. 3. Multiply and divide from left to right. 4. Add

More information

5 Minute Check Determine which number is a solution to the inequality. Complete on the back of your homework h > 2; 3,4,5 2.

5 Minute Check Determine which number is a solution to the inequality. Complete on the back of your homework h > 2; 3,4,5 2. 5 Minute Check Determine which number is a solution to the inequality. Complete on the back of your homework. 1. 5 h > 2; 3,4,5 2. f + 8 < 8; 0,1,2 3. 25 > 5u; 5, 6, 7 4. 13 < 4x; 2,3,4 5 Minute Check

More information

Solving Equations. Solving Equations - decimal coefficients and constants. 2) Solve for x: 3(3x 6) = 3(x -2) 1) Solve for x: 5 x 2 28 x

Solving Equations. Solving Equations - decimal coefficients and constants. 2) Solve for x: 3(3x 6) = 3(x -2) 1) Solve for x: 5 x 2 28 x Level C Review Packet This packet briefly reviews the topics covered on the Level A Math Skills Assessment. If you need additional study resources and/or assistance with any of the topics below, please

More information

Cherry Creek High School Summer Assignment for students entering: Accelerated CP Geometry

Cherry Creek High School Summer Assignment for students entering: Accelerated CP Geometry Cherry Creek High School Summer Assignment for students entering: Accelerated CP Geometry Please have the following worksheets completed and ready to be handed in on the first day of class in the fall.

More information

Algebra 2 Honors Unit 1 Review of Algebra 1

Algebra 2 Honors Unit 1 Review of Algebra 1 Algebra Honors Unit Review of Algebra Day Combining Like Terms and Distributive Property Objectives: SWBAT evaluate and simplify expressions involving real numbers. SWBAT evaluate exponents SWBAT combine

More information

A. 16 B. 16 C. 4 D What is the solution set of 4x + 8 > 16?

A. 16 B. 16 C. 4 D What is the solution set of 4x + 8 > 16? Algebra II Honors Summer Math Packet 2017 Name: Date: 1. Solve for x: x + 6 = 5x + 12 2. What is the value of p in the equation 8p + 2 = p 10? F. 1 G. 1 H. J.. Solve for x: 15x (x + ) = 6 11. Solve for

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

2.3. Solving Absolute Value Inequalities. Inequalities ENGAGE. 2.3 Solving Absolute Value

2.3. Solving Absolute Value Inequalities. Inequalities ENGAGE. 2.3 Solving Absolute Value Resource Locker LESSO N 2.3 Solving Absolute Value Inequalities Name Class Date 2.3 Solving Absolute Value Inequalities Texas Math Standards The student is expected to: A2.6.F Solve absolute value linear

More information

(1) Assignment # 1 Absolute Value. (2) Assignment # 2 Compound Absolute Values. (3) Assignment # 3 Exponents. (4) Assignment # 4 Simplifying Radicals

(1) Assignment # 1 Absolute Value. (2) Assignment # 2 Compound Absolute Values. (3) Assignment # 3 Exponents. (4) Assignment # 4 Simplifying Radicals Alg_0 Packet # The beginning of our Quest () Assignment # Absolute Value () Assignment # Compound Absolute Values () Assignment # Eponents () Assignment # Simplifying Radicals (5) Assignment # 5 Fractional

More information

3) x -7 4) 3 < x. When multiplying or dividing by a NEGATIVE number, we SWITCH the inequality sign!

3) x -7 4) 3 < x. When multiplying or dividing by a NEGATIVE number, we SWITCH the inequality sign! Name: Date: / / WARM UP 1) What is the difference between an inequality and an equation.? QUIZ DAY! 2) One must be at least 35 years old in order to be president of the United States. If x represents age,

More information

LESSON EII.C EQUATIONS AND INEQUALITIES

LESSON EII.C EQUATIONS AND INEQUALITIES LESSON EII.C EQUATIONS AND INEQUALITIES LESSON EII.C EQUATIONS AND INEQUALITIES 7 OVERVIEW Here s what you ll learn in this lesson: Linear a. Solving linear equations b. Solving linear inequalities Once

More information

HUDSONVILLE HIGH SCHOOL COURSE FRAMEWORK

HUDSONVILLE HIGH SCHOOL COURSE FRAMEWORK HUDSONVILLE HIGH SCHOOL COURSE FRAMEWORK COURSE / SUBJECT Algebra 2B KEY COURSE OBJECTIVES/ENDURING UNDERSTANDINGS OVERARCHING/ESSENTIAL SKILLS OR QUESTIONS RATIONAL AND RADICAL FUNCTIONS PROPERTIES AND

More information

Objectives: Review open, closed, and mixed intervals, and begin discussion of graphing points in the xyplane. Interval notation

Objectives: Review open, closed, and mixed intervals, and begin discussion of graphing points in the xyplane. Interval notation MA 0090 Section 18 - Interval Notation and Graphing Points Objectives: Review open, closed, and mixed intervals, and begin discussion of graphing points in the xyplane. Interval notation Last time, we

More information

SUMMER ASSIGNMENT FOR ALGEBRA II/TRIGONOMETRY

SUMMER ASSIGNMENT FOR ALGEBRA II/TRIGONOMETRY SUMMER ASSIGNMENT FOR ALGEBRA II/TRIGONOMETRY This summer assignment is designed to ensure that you are prepared for Algebra II/ Trigonometry. Nothing on this summer assignment is new. Everything is a

More information

Quadratic and Polynomial Inequalities in one variable have look like the example below.

Quadratic and Polynomial Inequalities in one variable have look like the example below. Section 8 4: Polynomial Inequalities in One Variable Quadratic and Polynomial Inequalities in one variable have look like the example below. x 2 5x 6 0 (x 2) (x + 4) > 0 x 2 (x 3) > 0 (x 2) 2 (x + 4) 0

More information

MA 180 Lecture Chapter 1 College Algebra and Calculus by Larson/Hodgkins Equations and Inequalities

MA 180 Lecture Chapter 1 College Algebra and Calculus by Larson/Hodgkins Equations and Inequalities 1.6) Linear Inequalities MA 180 Lecture Chapter 1 College Algebra and Calculus by Larson/Hodgkins Equations and Inequalities Simple inequalities are used to order real numbers. To solve an inequality in

More information

REVIEW SHEETS ELEMENTARY ALGEBRA MATH 65

REVIEW SHEETS ELEMENTARY ALGEBRA MATH 65 REVIEW SHEETS ELEMENTARY ALGEBRA MATH 65 A Summary of Concepts Needed to be Successful in Mathematics The following sheets list the key concepts which are taught in the specified math course. The sheets

More information

Algebra 2 Summer Assignment - Non Regents

Algebra 2 Summer Assignment - Non Regents Name: Date: This assignment is to be completed over the summer. It must be turned in the first day of classes. It will be counted as a quiz. You MUST SHOW all work for each question in the space provided

More information

Solving and Graphing Inequalities

Solving and Graphing Inequalities Solving and Graphing Inequalities Graphing Simple Inequalities: x > 3 When finding the solution for an equation we get one answer for x. (There is only one number that satisfies the equation.) For 3x 5

More information

Basic Equations and Inequalities. An equation is a statement that the values of two expressions are equal.

Basic Equations and Inequalities. An equation is a statement that the values of two expressions are equal. Hartfield College Algebra (Version 2018 - Thomas Hartfield) Unit ZERO Page - 1 - of 7 Topic 0: Definition: Ex. 1 Basic Equations and Inequalities An equation is a statement that the values of two expressions

More information

Jennie F. Snapp Math Lesson Plans 6 th Grade Date: December 31-4, Notes Topic & Standard Objective Homework Monday

Jennie F. Snapp Math Lesson Plans 6 th Grade Date: December 31-4, Notes Topic & Standard Objective Homework Monday Date: December 31-4, 2019 No School No School Exponents 6.EE.1 Write and evaluate numerical expressions involving whole number exponents. Exponents Orders of Operations Students will write expressions

More information

Unit 1: Functions, Equations, & Graphs

Unit 1: Functions, Equations, & Graphs Honors Algebra ~ Spring 014 Name: 0 Unit 1: Functions, Equations, & Graphs At the end of this unit, you will know how to: Identify functions Analyze transformations of functions Graph piecewise functions

More information

8-5. A rational inequality is an inequality that contains one or more rational expressions. x x 6. 3 by using a graph and a table.

8-5. A rational inequality is an inequality that contains one or more rational expressions. x x 6. 3 by using a graph and a table. A rational inequality is an inequality that contains one or more rational expressions. x x 3 by using a graph and a table. Use a graph. On a graphing calculator, Y1 = x and Y = 3. x The graph of Y1 is

More information

MAFS Algebra 1. Systems of Equations and Inequalities. Day 10 - Student Packet

MAFS Algebra 1. Systems of Equations and Inequalities. Day 10 - Student Packet MAFS Algebra 1 Systems of Equations and Inequalities Day 10 - Student Packet Day 10: Systems of Equations and Inequalities MAFS.912.A-REI.3.5, MAFS.912.A-REI.3.6, MAFS.912.A-REI.4.10 I CAN graph a system

More information

6-4 Solving Special Systems

6-4 Solving Special Systems 6-4 Solving Special Systems Warm Up Lesson Presentation Lesson Quiz 1 2 pts Bell Quiz 6-4 Solve the equation. 1. 2(x + 1) = 2x + 2 3 pts Solve by using any method. 2. y = 3x + 2 2x + y = 7 5 pts possible

More information

Module 3 - Expressions & Equations Unit 5 Packet 2 - Solving Equations & Inequalities

Module 3 - Expressions & Equations Unit 5 Packet 2 - Solving Equations & Inequalities Name: Packet Due: Tuesday, November 20, 2018 Module 3 - Expressions & Equations Unit 5 Packet 2 - Solving Equations & Inequalities Standard 7.EE.A.1 7.EE.A.2 7.EE.B.3 7.EE.B.4 Description Apply properties

More information

LHS Algebra Pre-Test

LHS Algebra Pre-Test Your Name Teacher Block Grade (please circle): 9 10 11 12 Course level (please circle): Honors Level 1 Instructions LHS Algebra Pre-Test The purpose of this test is to see whether you know Algebra 1 well

More information

Algebra 2 (3) Apex - Semester 1 Part A

Algebra 2 (3) Apex - Semester 1 Part A Algebra 2 (3) Apex - Semester 1 Part A Name Algebra I Literacy Advantage Unit 1 : The Need to Read Lesson 1.1 : Reading and Vocabulary Activity 1.1.1 : Study - Active Reading Learn skills and strategies

More information

7.6 The Inverse of a Square Matrix

7.6 The Inverse of a Square Matrix 7.6 The Inverse of a Square Matrix Copyright Cengage Learning. All rights reserved. What You Should Learn Verify that two matrices are inverses of each other. Use Gauss-Jordan elimination to find inverses

More information

CHAPTER 1: TOOLS FOR ALGEBRA AND GEOMETRY

CHAPTER 1: TOOLS FOR ALGEBRA AND GEOMETRY Pre-Algebra CHAPTER 1: TOOLS FOR ALGEBRA AND GEOMETRY Chapter 1: WRITE THIS DOWN IN YOUR PLANNER 1-2 PEMDAS and Divisibility Rules FRIDAY - QUIZ 1A 1-3 Variables and Expressions 1-4 Variables and Equations

More information

CRS SKILL LEVEL DESCRIPTION

CRS SKILL LEVEL DESCRIPTION GRE 501 LESSON/NOTES Period Name CRS SKILL LEVEL DESCRIPTION Level 1 ALL students must GRE 301 Locate points on the number line attain mastery at this level R- XEI 506 Solve first degree inequalities that

More information

8.1 Absolute Value Functions

8.1 Absolute Value Functions 8.1 Absolute Value Functions We will explore one final function family this year known as piecewise functions. Piecewise functions are functions that are defined a piece at a time. In other words, for

More information

Properties of Real Numbers

Properties of Real Numbers Pre-Algebra Properties of Real Numbers Identity Properties Addition: Multiplication: Commutative Properties Addition: Multiplication: Associative Properties Inverse Properties Distributive Properties Properties

More information

2-3. Solving Inequalities by Multiplying or Dividing. Holt McDougal Algebra 1

2-3. Solving Inequalities by Multiplying or Dividing. Holt McDougal Algebra 1 Example 1A: by a Positive Number Solve the inequality and graph the solutions. 7x > 42 7x > 42 > Since x is multiplied by 7, divide both sides by 7 to undo the multiplication. 1x > 6 x > 6 10 8 6 4 2 0

More information

New Vocabulary equivalent inequalities. x 1 4, 7 and x, 3 are equivalent inequalities.

New Vocabulary equivalent inequalities. x 1 4, 7 and x, 3 are equivalent inequalities. -. Plan - Solving Inequalities Using Addition and Subtraction Objectives To use addition to solve To use subtraction to solve Eamples Using the Addition Property of Inequality Solving and Checking Solutions

More information

Expressions, Equations and Inequalities Guided Notes

Expressions, Equations and Inequalities Guided Notes Expressions, Equations and Inequalities Guided Notes Standards: Alg1.M.A.SSE.A.01a - The Highly Proficient student can explain the context of different parts of a formula presented as a complicated expression.

More information

Algebra I Chapter 6: Solving and Graphing Linear Inequalities

Algebra I Chapter 6: Solving and Graphing Linear Inequalities Algebra I Chapter 6: Solving and Graphing Linear Inequalities Jun 10 9:21 AM Chapter 6 Lesson 1 Solve Inequalities Using Addition and Subtraction Vocabulary Words to Review: Inequality Solution of an Inequality

More information

SUMMER MATH PACKET ALGEBRA TWO COURSE 229

SUMMER MATH PACKET ALGEBRA TWO COURSE 229 SUMMER MATH PACKET ALGEBRA TWO COURSE 9 MATH SUMMER PACKET INSTRUCTIONS MATH SUMMER PACKET INSTRUCTIONS Attached you will find a packet of exciting math problems for your enjoyment over the summer. The

More information

Unit 2 Day 7. Quadratic Formula & the Discriminant

Unit 2 Day 7. Quadratic Formula & the Discriminant Unit Day 7 Quadratic Formula & the Discriminant 1 Warm Up Day 7 1. Solve each of the quadratic functions by graphing and algebraic reasoning: a. x 3 = 0 b. x + 5x 8 = 0 c. Explain why having alternative

More information

Algebra 2 Semester Test Review

Algebra 2 Semester Test Review Algebra 2 Semester Test Review Name This semester review covers everything from Semester 1. It is due. You will have a semester test that covers everything from the semester on. This packet is meant as

More information

Know why the real and complex numbers are each a field, and that particular rings are not fields (e.g., integers, polynomial rings, matrix rings)

Know why the real and complex numbers are each a field, and that particular rings are not fields (e.g., integers, polynomial rings, matrix rings) COMPETENCY 1.0 ALGEBRA SKILL 1.1 1.1a. ALGEBRAIC STRUCTURES Know why the real and complex numbers are each a field, and that particular rings are not fields (e.g., integers, polynomial rings, matrix rings)

More information

Lesson 9: Introduction to Inequalities

Lesson 9: Introduction to Inequalities Opening Exercise - [adapted from MARS Evaluating Statements About Number Operations] 1. Abigail is thinking of a number. A. Could Abigail be thinking of 8? Explain your answer. B. What numbers could she

More information

6-6 Solving Systems of Linear Inequalities 6-6. Solving Systems of Linear Inequalities

6-6 Solving Systems of Linear Inequalities 6-6. Solving Systems of Linear Inequalities 6-6 Solving Systems of Linear Inequalities Warm Up Lesson Presentation Lesson Quiz 1 2 pts 3 pts 5 pts Bell Quiz 6-6 Solve each inequality for y. 1. 8x + y < 6 2. 3x 2y > 10 3. Graph the solutions of 4x

More information

Algebra II A Guided Notes

Algebra II A Guided Notes Algebra II A Guided Notes Name Chapter 1 Period Notes 1-5 Learning Matrix Goal #9: I can solve inequalities. Learning Matrix Goal #10: I can solve real-world problems involving inequalities. Learning Matrix

More information

Algebra II (Common Core) Summer Assignment Due: September 11, 2017 (First full day of classes) Ms. Vella

Algebra II (Common Core) Summer Assignment Due: September 11, 2017 (First full day of classes) Ms. Vella 1 Algebra II (Common Core) Summer Assignment Due: September 11, 2017 (First full day of classes) Ms. Vella In this summer assignment, you will be reviewing important topics from Algebra I that are crucial

More information

2-2. Warm Up Lesson Presentation Lesson Quiz

2-2. Warm Up Lesson Presentation Lesson Quiz Warm Up Lesson Presentation Lesson Quiz Holt Algebra McDougal 1 Algebra 1 Warm Up Graph each inequality. Write an inequality for each situation. 1. The temperature must be at least 10 F. x 10 10 0 10 2.

More information

SUMMER MATH PACKET ADVANCED ALGEBRA A COURSE 215

SUMMER MATH PACKET ADVANCED ALGEBRA A COURSE 215 SUMMER MATH PACKET ADVANCED ALGEBRA A COURSE 5 Updated May 0 MATH SUMMER PACKET INSTRUCTIONS Attached you will find a packet of exciting math problems for your enjoyment over the summer. The purpose of

More information

3-1 Graphing and Writing Inequalities. Warm Up Lesson Presentation Lesson Quiz

3-1 Graphing and Writing Inequalities. Warm Up Lesson Presentation Lesson Quiz 3-1 Graphing and Writing Inequalities Warm Up Lesson Presentation Lesson Quiz Holt Holt Algebra Algebra 1 1 Bell Quiz 3-1 Compare. Write , or =. 2 pts 1. 3 2 2 pts 2. 6.5 6.3 1 pt for putting your

More information

Solving Absolute Value Equations and Inequalities. The distance between. 0 and itself is 0, so 0 0.

Solving Absolute Value Equations and Inequalities. The distance between. 0 and itself is 0, so 0 0. 1.7 Solving Absolute Value Equations and Inequalities What you should learn GOAL 1 Solve absolute value equations and inequalities. GOAL 2 Use absolute value equations and inequalities to solve real-life

More information

Spiral Review Probability, Enter Your Grade Online Quiz - Probability Pascal's Triangle, Enter Your Grade

Spiral Review Probability, Enter Your Grade Online Quiz - Probability Pascal's Triangle, Enter Your Grade Course Description This course includes an in-depth analysis of algebraic problem solving preparing for College Level Algebra. Topics include: Equations and Inequalities, Linear Relations and Functions,

More information

The Transpose of a Vector

The Transpose of a Vector 8 CHAPTER Vectors The Transpose of a Vector We now consider the transpose of a vector in R n, which is a row vector. For a vector u 1 u. u n the transpose is denoted by u T = [ u 1 u u n ] EXAMPLE -5 Find

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

1.7 Inequalities. Copyright Cengage Learning. All rights reserved.

1.7 Inequalities. Copyright Cengage Learning. All rights reserved. 1.7 Inequalities Copyright Cengage Learning. All rights reserved. Objectives Solving Linear Inequalities Solving Nonlinear Inequalities Absolute Value Inequalities Modeling with Inequalities 2 Inequalities

More information

Complete your Parent Function Packet!!!!

Complete your Parent Function Packet!!!! PARENT FUNCTIONS Pre-Ap Algebra 2 Complete your Parent Function Packet!!!! There are two slides per Parent Function. The Parent Functions are numbered in the bottom right corner of each slide. The Function

More information

Master Map Algebra (Master) Content Skills Assessment Instructional Strategies Notes. A. MM Quiz 1. A. MM Quiz 2 A. MM Test

Master Map Algebra (Master) Content Skills Assessment Instructional Strategies Notes. A. MM Quiz 1. A. MM Quiz 2 A. MM Test Blair High School Teacher: Brent Petersen Master Map Algebra (Master) August 2010 Connections to Algebra Learn how to write and -Variables in Algebra -Exponents and Powers -Order of Operations -Equations

More information

Ready To Go On? Skills Intervention 12-1 Introduction to Sequences

Ready To Go On? Skills Intervention 12-1 Introduction to Sequences Find these vocabulary words in Lesson 12-1 and the Multilingual Glossary. Finding Terms of a Sequence by Using a Recursive Formula Find the first five terms of each sequence. A. a n a n1 1, where n 2 and

More information

Willmar Public Schools Curriculum Map

Willmar Public Schools Curriculum Map Subject Area Mathematics Senior High Course Name Advanced Algebra 2A (Prentice Hall Mathematics) Date April 2010 The Advanced Algebra 2A course parallels each other in content and time. The Advanced Algebra

More information

West Potomac High School 6500 Quander Road Alexandria, VA 22307

West Potomac High School 6500 Quander Road Alexandria, VA 22307 West Potomac High School 6500 Quander Road Aleandria, VA 307 Dear AP Calculus BC Student, Welcome to AP Calculus! This course is primarily concerned with developing your understanding of the concepts of

More information

UNIT 2 ABSOLUTE VALUE EQUATIONS & INEQUALITES

UNIT 2 ABSOLUTE VALUE EQUATIONS & INEQUALITES NAME UNIT 2 ABSOLUTE VALUE EQUATIONS & INEQUALITES NOTES PACKET ALGEBRA II Algebra II - Graphing 2 Variable Inequalities notes y>3x-2 t y s.a H:> -i ^ / [)UL/ 4. ^ f 5. v >-2 ^t3^ 6. < x -4? Notes Solving

More information

Systems of Linear Equations and Inequalities

Systems of Linear Equations and Inequalities Systems of Linear Equations and Inequalities Alex Moore February 4, 017 1 What is a system? Now that we have studied linear equations and linear inequalities, it is time to consider the question, What

More information

Labeling Assignments

Labeling Assignments Labeling Assignments Title Heading 8.4: Graphing and Solving Linear Inequalities Last, First Date Period 8.4: Graphing and Solving Linear Inequalities 8EE: Standard 8. Analyze and solve pairs of simultaneous

More information

Rising 8th Grade Math. Algebra 1 Summer Review Packet

Rising 8th Grade Math. Algebra 1 Summer Review Packet Rising 8th Grade Math Algebra 1 Summer Review Packet 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

More information

Lesson 3-6: Compound Inequalities Name:

Lesson 3-6: Compound Inequalities Name: Lesson 3-6: Compound Inequalities Name: W hen people plan a house, they often have many requirements in mind that can be written as inequalities. Such requirements could be the dimensions of rooms or the

More information

CK-12 Geometry: Midsegments of a Triangle

CK-12 Geometry: Midsegments of a Triangle CK-12 Geometry: Midsegments of a Triangle Learning Objectives Identify the midsegments of a triangle. Use the Midsegment Theorem to solve problems involving side lengths, midsegments, and algebra. Review

More information

FUNCTIONS AND MODELS

FUNCTIONS AND MODELS 1 FUNCTIONS AND MODELS FUNCTIONS AND MODELS The fundamental objects that we deal with in calculus are functions. FUNCTIONS AND MODELS This chapter prepares the way for calculus by discussing: The basic

More information

Westside High School Backwards-Design Lesson Plan Template Algebra 2 PAP Transformations Unit 9/10-9/26

Westside High School Backwards-Design Lesson Plan Template Algebra 2 PAP Transformations Unit 9/10-9/26 Westside High School Backwards-Design Lesson Plan Template 2014-2015 Algebra 2 PAP Transformations Unit 9/10-9/26 Understanding (s)/goals: EU1: Students apply the properties of functions to their graphs

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

MATH 115: Review for Chapter 6

MATH 115: Review for Chapter 6 MATH 115: Review for Chapter 6 In order to prepare for our test on Chapter 6, ou need to understand and be able to work problems involving the following topics: I SYSTEMS OF LINEAR EQUATIONS CONTAINING

More information

CP Algebra 2 Unit 2-1: Factoring and Solving Quadratics WORKSHEET PACKET

CP Algebra 2 Unit 2-1: Factoring and Solving Quadratics WORKSHEET PACKET CP Algebra Unit -1: Factoring and Solving Quadratics WORKSHEET PACKET Name: Period Learning Targets: 0. I can add, subtract and multiply polynomial expressions 1. I can factor using GCF.. I can factor

More information

6.4 Absolute Value Equations

6.4 Absolute Value Equations 6.4. Absolute Value Equations www.ck12.org 6.4 Absolute Value Equations Learning Objectives Solve an absolute value equation. Analyze solutions to absolute value equations. Graph absolute value functions.

More information

Basic ALGEBRA 2 SUMMER PACKET

Basic ALGEBRA 2 SUMMER PACKET Name Basic ALGEBRA SUMMER PACKET This packet contains Algebra I topics that you have learned before and should be familiar with coming into Algebra II. We will use these concepts on a regular basis throughout

More information

MATH 190 KHAN ACADEMY VIDEOS

MATH 190 KHAN ACADEMY VIDEOS MATH 10 KHAN ACADEMY VIDEOS MATTHEW AUTH 11 Order of operations 1 The Real Numbers (11) Example 11 Worked example: Order of operations (PEMDAS) 7 2 + (7 + 3 (5 2)) 4 2 12 Rational + Irrational Example

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

Chapter. Triangles. Copyright Cengage Learning. All rights reserved.

Chapter. Triangles. Copyright Cengage Learning. All rights reserved. Chapter 3 Triangles Copyright Cengage Learning. All rights reserved. 3.5 Inequalities in a Triangle Copyright Cengage Learning. All rights reserved. Inequalities in a Triangle Important inequality relationships

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

F F. proj cos( ) v. v proj v

F F. proj cos( ) v. v proj v Geometric Definition of Dot Product 1.2 The Dot Product Suppose you are pulling up on a rope attached to a box, as shown above. How would you find the force moving the box towards you? As stated above,

More information

Expressions and Equations

Expressions and Equations Name Expressions and Equations 6.EE Common Core Cluster Apply and extend previous understanding of arithmetic to algebraic expressions. Mathematically proficient students communicate precisely by engaging

More information

2, or x 5, 3 x 0, x 2

2, or x 5, 3 x 0, x 2 Pre-AP Algebra 2 Lesson 2 End Behavior and Polynomial Inequalities Objectives: Students will be able to: use a number line model to sketch polynomials that have repeated roots. use a number line model

More information

Instructional Unit Conic Sections Pre Calculus #312 Unit Content Objective Performance Performance Task State Standards

Instructional Unit Conic Sections Pre Calculus #312 Unit Content Objective Performance Performance Task State Standards Instructional Unit Conic Sections Conic Sections The student will be -Define conic sections -Homework 2.8.11E -Ellipses able to create conic as conic slices and -Classwork -Hyperbolas sections based on

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

Lesson 12: Solving and Graphing Absolute Value Equations. Representation of Absolute Value

Lesson 12: Solving and Graphing Absolute Value Equations. Representation of Absolute Value Lesson 12: Solving and Graphing Absolute Value Equations Definition of Absolute Value The absolute value of a number is The absolute value of a number is always Representation of Absolute Value Example

More information

C. Graph the solution to possibilities for Sharmara s number and give the solution in interval notation.

C. Graph the solution to possibilities for Sharmara s number and give the solution in interval notation. Homework Problem Set Sample Solutions S.77 Homework Problem Set 1. Shamara is thinking of a number. A. Could Shamara be thinking of 8? Explain. No, if Shamara thought of 8, the answer would equal 2. B.

More information

Algebra 1 - Semester 2 Exam Review

Algebra 1 - Semester 2 Exam Review Class: Date: Algebra - Semester 2 Exam Review Multiple Choice Identify the choice that best completes the statement or answers the question.. 00 equals a. 0 d. 50 b. undefined e. 20 c. 200 2. Solve the

More information

Name: Richard Montgomery High School Department of Mathematics. Summer Math Packet. for students entering. Algebra 2/Trig*

Name: Richard Montgomery High School Department of Mathematics. Summer Math Packet. for students entering. Algebra 2/Trig* Name: Richard Montgomer High School Department of Mathematics Summer Math Packet for students entering Algebra 2/Trig* For the following courses: AAF, Honors Algebra 2, Algebra 2 (Please go the RM website

More information

Algebra 2 Notes Systems of Equations and Inequalities Unit 03c. System of Equations in Three Variables

Algebra 2 Notes Systems of Equations and Inequalities Unit 03c. System of Equations in Three Variables System of Equations in Three Variables Big Idea A system of equations in three variables consists of multiple planes graphed on the same coordinate plane. The solutions to these systems consists of a single

More information

Chapter 2 Linear Equations and Inequalities in One Variable

Chapter 2 Linear Equations and Inequalities in One Variable Chapter 2 Linear Equations and Inequalities in One Variable Section 2.1: Linear Equations in One Variable Section 2.3: Solving Formulas Section 2.5: Linear Inequalities in One Variable Section 2.6: Compound

More information

Warm Up Lesson Presentation Lesson Quiz. Holt McDougal Algebra 2

Warm Up Lesson Presentation Lesson Quiz. Holt McDougal Algebra 2 Warm Up Lesson Presentation Lesson Quiz Algebra 2 Warm Up Factor each expression. 1. 3x 6y 2. a 2 b 2 3(x 2y) (a + b)(a b) Find each product. 3. (x 1)(x + 3) 4. (a + 1)(a 2 + 1) x 2 + 2x 3 a 3 + a 2 +

More information

Graphical Solutions of Linear Systems

Graphical Solutions of Linear Systems Graphical Solutions of Linear Systems Consistent System (At least one solution) Inconsistent System (No Solution) Independent (One solution) Dependent (Infinite many solutions) Parallel Lines Equations

More information

LESSON 13.1 NONLINEAR EQUATIONS

LESSON 13.1 NONLINEAR EQUATIONS LESSON. NONLINEAR EQUATIONS LESSON. NONLINEAR EQUATIONS 58 OVERVIEW Here's what you'll learn in this lesson: Solving Equations a. Solving polynomial equations by factoring b. Solving quadratic type equations

More information

AP CALCULUS BC SUMMER ASSIGNMENT

AP CALCULUS BC SUMMER ASSIGNMENT AP CALCULUS BC SUMMER ASSIGNMENT Dear BC Calculus Student, Congratulations on your wisdom in taking the BC course! We know you will find it rewarding and a great way to spend your junior/senior year. This

More information