Absolute Value. Example 1. Strategy Graph the number and find its distance from 0 on a number line. Step 1 Graph the number on the number line.
|
|
- Brianne Burke
- 6 years ago
- Views:
Transcription
1 Lesson 14 Absolute Value 6.NS.7.c, 6.NS.7.d 1 Getting the idea The absolute value of a number is its distance from 0 on a number line. 3 units 3 units The integers 23 and 3 are each 3 units from 0 on the number line. Numbers and their opposites have the same absolute value. Absolute value is written using the symbols The absolute value of 3 is The absolute value of 23 is also 3. The absolute values of 3 and 23 are equal because they are the same distance from 0 on the number line. Because distance is never negative, the absolute value of a number is never negative. The absolute value of 0 is 0. Example 1 Find 24. Strategy Graph the number and find its distance from 0 on a number line. Step 1 Graph the number on the number line. Start at 0. Move 4 units left of 0 to graph a point at Step 2 Find the distance from the number to 0. The distance from 24 to 0 on the number line is 4 units. 4 units Lesson 14: Absolute Value 127
2 Step 3 Write the absolute value The absolute value of 24 is 4. Solution Example 2 Kari has an online account to buy music that she can download to her tablet. After Kari purchases some music, her account balance is 2$18. Use absolute value to express her account balance as a debt. Strategy Use absolute value. Step 1 Understand the situation. An account with a negative balance represents a debt, or money owed. The amount of a debt is equal to the absolute value of a negative account balance. An account with a balance of $0 represents no debt. An account with a positive balance represents a credit. Step 2 Use a number line to find the absolute value of the account balance. Graph 218 on the number line. 18 units The point for 218 is 18 units from 0 on the number line. 2$18 5 $18 Step 3 Express the account balance as a debt. Since debt is equal to the absolute value of a negative account balance, the debt is $18. This means Kari needs to pay $18 to eliminate her debt. Solution Kari s account balance represents a debt of $ Domain 2: The Number System
3 Example 3 The temperature at 7:00 a.m. was 25 F. The temperature at 4:00 p.m. was 8 F. Use absolute value to express each temperature as the number of degrees above or below zero. Strategy Use absolute value to describe temperature. Step 1 Understand the situation. A positive number represents a temperature above zero. A negative number represents a temperature below zero. The number of degrees above or below zero represents a quantity, so you need to use absolute value. Step 2 Use a number line to find the absolute value of each temperature. Graph 25 and 8 on a vertical number line. The distance from 25 to 0 is 5 units. 25 F 5 5 F The distance from 8 to 0 is 8 units. 8 F 5 8 F units units Step 3 Express each temperature as the number of degrees above or below zero. Express positive temperatures as degrees above zero. Express negative temperatures as degrees below zero. The temperature 25 F represents a temperature of 5 degrees below zero. The temperature 8 F represents a temperature of 8 degrees above zero. Solution At 7:00 a.m. the temperature was 5 F below zero, and at 4:00 p.m. it was 8 F above zero. Lesson 14: Absolute Value 129
4 Example 4 Malena has a store account to make purchases. Her account balance was 2$1, After making a new purchase, her balance is now 2$1, Compare Malena s account balance before and after the purchase. Then compare her debt before and after the purchase. Strategy Compare the two numbers. Then compare the absolute values of the numbers. Step 1 Compare the account balance after the purchase to the account balance before the purchase. Compare 2$1, and 2$1, $1,256.80, 2$1, After making a purchase, Malena s account balance is less than the account balance before the purchase. Step 2 Find the debt before and after the purchase. Remember that debt is the absolute value of a negative account balance. Debt before purchase: 2$1, $1, Debt after purchase: 2$1, $1, Step 3 Compare the debt after the purchase to the debt before the purchase. $1, $1, After making a purchase, Malena s debt is greater than her debt before the purchase. Solution After making a purchase, Malena s account balance is less than the account balance before the purchase and her debt is greater than her debt before the purchase. 130 Domain 2: The Number System
5 2 COACHED EXAMPLE A diver photographed several animals during an underwater dive. The table below shows the elevations below sea level of the diver when the photographs were taken. Use absolute value to order the animals from least depth to greatest depth. Understand the situation. Animal Elevation (in feet) Dolphin 224 Shrimp 230 Angelfish 215 Elevation describes a position in relation to sea level, so it can be positive or negative. Depth describes the distance below sea level, so it cannot be. To find the depth of each animal, find the of each elevation. Find the depth of each animal. Depth of dolphin: Depth of shrimp: Depth of angelfish: feet feet feet Order the depths from least to greatest. feet, feet, feet Order the animals from shallowest to deepest.,, The order of the animals from the least depth to the greatest depth is,,. Lesson 14: Absolute Value 131
6 3 LESSON PRACTICE 1 Graph and label the following numbers on the number line and and Circle the numbers that make the statements true , Use the words from the box to complete each statement. As the value of a positive number increases, the absolute value of the number. As the value of a positive number decreases, the absolute value of the number. As the value of a negative number increases, the absolute value of the increases decreases 4 number. As the value of a negative number decreases, the absolute value of the number. Determine which of the following statements are true. Circle all that apply. A. 27, 7 B. 27, 7 C D. 27, 7 E F G Domain 2: The Number System
7 5 Paul s account balance is less than 2$50. Part A What is a possible balance for Paul s account? Explain your answer. Part B Does Paul s account balance represent a debt greater than or less than $50? Use the possible balance from Part A to justify your answer. 6 Order the absolute values of 32, 2173, and 2139 from least to greatest. Use words, numbers, or models to justify your answer. Lesson 14: Absolute Value 133
8 7 For each number in the table, find an equivalent value from the numbers in the box. There may be zero, one, or two equivalent values for each number. Number Equivalent Expressions Expression 1 Expression Look at each set of numbers. Are the numbers in order from least to greatest? Select Yes or No. A. 29, 24, 2 Yes No B. 211, 28, 15 Yes No C. 23, 210, 14 Yes No D. 21, 26, 5 Yes No 9 The balance in Pedro s account is 2$ The balance in John s account is 2$ Select True or False for each statement. A. The balance in Pedro s account is greater than the balance in John s account. True False B. Pedro s debt is greater than John s debt. True False C. John owes more than Pedro. True False 134 Domain 2: The Number System
9 10 Use the number line shown below. A B C D Which point represents the number with the greatest absolute value? point Which point represents the number with the least absolute value? point 11 The table below shows the elevations at which several items were found at an archaeological dig site. Object Elevation (in meters) Bracelet 22.3 Coins 22.9 Clay pot 21.8 Explain how to find the depth of the objects in the table. Then find the depth of each object. 12 Elise says that if a number has a greater value than another number, then the number also has a greater absolute value. Is she correct? If not, provide a counterexample. Lesson 14: Absolute Value 135
Work with a partner. Write an integer that represents the elevation of each object. How far is each object from sea level? Explain your reasoning.
6.4 Absolute Value from sea level? How can you describe how far an object is ACTIVITY: Sea Level Work with a partner. Write an integer that represents the elevation of each object. How far is each object
More informationIntegers. Domain 1 Lesson 3. Getting the Idea. Example 1. Strategy. Step 1. Step 2
Domain 1 Lesson 3 Integers Common Core Standards: 6.NS.5, 6.NS.6.a, 6.NS.6.c Getting the Idea Integers include the counting numbers (1, 2, 3, ), their opposites (21, 22, 23, ), and zero. The number line
More information1)Write the integer that represents the opposite of each real-world. situation. In words, write the meaning of the opposite.
1) Write the integer that represents the opposite of each real-world situation. In words, write the meaning of the opposite. a. Example: An atom s positive charge of 7 Opposite: An atom s negative charge
More information{...- 4, - 3, - 2, - 1, 0, 1, 2, 3, 4,...}
Introduction to Integers (2.1) Integers are the set of whole numbers and their opposites. {...- 4, - 3, - 2, - 1, 0, 1, 2, 3, 4,...} Example: The highest elevation in North America is Mt. McKinley, which
More informationName Date Class. Standardized test prep Review of Linear Equations 8 Blue/Green
Standardized test prep Review of Linear Equations 8 Blue/Green 2013-2014 Name _ Date Class Complete questions at least 1-8. 1. Which point is a solution to the system of equations shown below? a. ( 39,
More informationFoundations for Algebra. Introduction to Algebra I
Foundations for Algebra Introduction to Algebra I Variables and Expressions Objective: To write algebraic expressions. Objectives 1. I can write an algebraic expression for addition, subtraction, multiplication,
More information20.3 Applying the Zero Product Property to Solve Equations
Name Class Date 2. Applying the Zero Product Property to Solve Equations Essential Question: How can you use the Zero Product Property to solve quadratic equations in factored form? Resource Locker Explore
More information2-3. Skills Practice. The Coordinate Plane
- Skills Practice The Coordinate Plane Name the ordered pair for each point graphed at the right. Then identif the quadrant in which each point lies. 1. A. B. C. D. E 6. F F 1 O 1 x C I H A G E D J B 7.
More informationHow can you use a number line to compare positive and negative fractions and decimals? ACTIVITY: Locating Fractions on a Number Line
. Fractions and Decimals on the Number Line How can you use a number line to compare positive and negative fractions and decimals? ACTIVITY: Locating Fractions on a Number Line On your time line for A
More informationAdd and Subtract Rational Numbers
Domain 1 Lesson Add and Subtract Rational Numbers Common Core Standards: 7.NS.1.b, 7.NS.1.d, 7.NS.3 Getting the Idea Use these rules to add and subtract decimals: Line up the decimal points in the numbers.
More informationABSOLUTE VALUE Judo Math Inc.
ABSOLUTE VALUE 2013 Judo Math Inc. 6 th grade Number Sense Discipline: Orange Belt Training Order of Mastery: Absolute Value (6NS7-8) 1. Inequality to show position 2. Explain statements of order in the
More informationSolving Systems of Linear Inequalities Focus on Modeling
Name Class 5-6 Date Solving Systems of Linear Inequalities Focus on Modeling Essential question: How can you use systems of linear equations or inequalities to model and solve contextual problems? N-Q.1.1*,
More information2-4 Multiplying Integers
Find each product. 1. 6 7 42 2. 5( 8) 40 3. 8( 3)( 5) 120 4. 2( 9)( 5) 90 5. Financial Literacy Mr. Heppner bought lunch with his debit card every day for 5 days. Each day he spent $8. If these were his
More informationUnderstand Positive and Negative Numbers
Lesson. Understand Positive and Negative Numbers Positive integers are to the right of on the number line. Negative integers are to the left of on the number line. Opposites are the same distance from,
More informationLesson 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 informationSUMMER PACKET FOR HONORS ALGEBRA ONE
SUMMER PACKET FOR HONORS ALGEBRA ONE Multiple Choice Identify the letter of the choice that best completes the statement or answers the question. Write an algebraic expression for the phrase.. the sum
More informationIntegers and Absolute Value (Pages 56 61)
2-1 Integers and Absolute Value (Pages 56 61) An integer is a number that is a whole number of units from zero on the number line. Integers to the left of zero are less than zero. They are negative. The
More informationExample A. Try These A ACTIVITY 8. Learning Targets: 100 SpringBoard Mathematics Course 1, Unit 2 Integers. Subtracting Integers
Learning Targets: Use models to subtract one integer with absolute value less than 10 from another. Subtract integers. Solve real-world problems by subtracting integers. SUGGESTED LEARNING STRATEGIES:
More information2-3. 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 informationHow are adding integers and subtracting integers related? Work with a partner. Use integer counters to find 4 2. Remove 2 positive counters.
. How are adding integers and subtracting integers related? ACTIVITY: Work with a partner. Use integer counters to find 4. Start with 4 positive counters. Remove positive counters. What is the total number
More informationLesson 8T ~ Understanding Integers
Lesson 8T ~ Understanding Integers Name Period Date Find the opposite of each number. 1. 6. 3 3. 7 4. 10 5. Graph the number 3 and its opposite. 6. Graph the following integers on the number line: 8, 5,
More informationSAMPLE: DO NOT REPRODUCE IN2 STUDENT PACKET INTEGERS STUDENT PACKET 2: INTEGER CONCEPTS. Name Period Date
Name Period Date INTEGERS STUDENT PACKET 2: INTEGER CONCEPTS IN2.1 IN2.2 IN2.3 Temperature and Number Lines Represent integers on a number line. Explore integer addition on the number line. Use integers
More informationLesson 1: Positive and Negative Numbers on the Number Line Opposite Direction and Value
NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 1 6 3 Lesson 1: Positive and Negative Numbers on the Number Line Opposite Direction and Value 1. If zero lies between aa and dd, give one set of possible values
More informationMath 6 Notes Unit 02: Introduction to Algebra
Math 6 Notes Unit 0: Introduction to Algebra Evaluating Algebraic Expressions NEW CCSS 6.EE.b Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient);
More information1Factor binomials that. 2Use the difference. Then. Why? Now. New Vocabulary dif ference of two squares
Then You factored trinomials into two binomials. (Lesson 8-3, 8-) New Vocabulary dif ference of two squares Now Quadratic Equations: Differences of Squares 1Factor binomials that are the difference of
More informationSolving Linear Equations in One Variable
Lesson 9 8.EE.7.a, 8.EE.7.b Solving Linear Equations in One Variable 1 Getting the idea A linear equation in one variable may have one solution, infinitely many solutions, or no solutions. A solution to
More informationGrade 6 Module 3. Eureka Math Exit Ticket Packet. FL State Adoption Bid # 3689
FL State Adoption Bid # 3689 Eureka Math Packet Grade 6 Module 3 Topic A Lesson Qty: 30 Lesson 2 Qty: 30 Lesson 3 Qty: 30 Lesson 4 Qty: 30 Lesson 5 Qty: 30 Lesson 6 Qty: 30 Topic C Lesson 4 Qty: 30 Lesson
More information2 Haddasah and Devon went shopping together.
1 A garden store has two sizes of plants for sale. Plants in small pots cost $3.50. Plants in big pots cost $6.00. One day, 18 plants were sold for a total of $80.50. How many plants in BIG pots were sold
More information3.3 Solving Systems with Elimination
3.3 Solving Systems with Elimination Sometimes it is easier to eliminate a variable entirely from a system of equations rather than use the substitution method. We do this by adding opposite coefficients
More information5-5 Inequalities Involving Absolute Value. Solve each inequality. Then graph the solution set. 1. a 5 < 3 ANSWER: {a 2 < a < 8} 2.
Solve each inequality. Then graph the solution set. 1. a 5 < 3 {a 2 < a < 8} Solve each inequality. Then graph the solution set. 8. x + 8 < 16 {x 24 < x < 8} 2. u + 3 < 7 {u 10 < u < 4} 9. r + 1 2 {r 3
More informationAssessment. CAMS series. C omprehensive A ssessment of. M athematics. S trategies. Name
Assessment C omprehensive A ssessment of M athematics S trategies CAMS series G Name TABLE OF CONTENTS Pretest......................................... Benchmark 1.....................................
More information8-7 Solving Inequalities
Solve each inequality. Check your solutions. 1. y + 7 12 y 5 8. 8z 24 z 3 2. b + 20 > 13 b > 33 3. 7 < x + ( 3) x > 4 Solve each inequality. Graph each solution on a number line. 4. d 9.3 12.5 d 21.8 9.
More information1. "I Can Solve Equations by using Inverse Operations to Isolate the Variable on one side of the Equal Sign." B
Unit A2 Equations and Inequalities Unit Review Packet Name Directions: Do ALL (A) Questions. Check Your Answers to (A) Questions. If ALL (A) Questions are correct, skip (B) Questions and move onto next
More informationUnit Essential Questions: How do variables help you model real-world situations?
Unit Essential Questions: How do variables help you model real-world situations? How can you use properties of real numbers to simplify algebraic expressions? How do you solve an equation or inequality?
More informationName Class Date. Describe each pattern using words. Draw the next figure in each pattern Input Output
1-1 Practice Patterns and Expressions Form G Describe each pattern using words. Draw the next figure in each pattern. 1. 2. 3. Copy and complete each table. Include a process column. 4. 5. 6. Input Output
More information1 LESSON 1.1. Adding and Subtracting Integers. Adding Integers with the Same Sign ESSENTIAL QUESTION
Adding and Subtracting Integers? MODULE 1 LESSON 1.1 ESSENTIAL QUESTION Adding Integers with the Same Sign How can you use addition and subtraction of integers to solve real-world problems? 7.NS.1, 7.NS.1b,
More informationLesson 8: Ordering Integers and Other Rational Numbers
Name Date Period Unit 2: Negative Numbers and the Number Line Test Review 1. Jane completes several example problems that ask her to find the opposite of the opposite of a number, and for each example,
More informationTopic 1. Solving Equations and Inequalities 1. Solve the following equation
Topic 1. Solving Equations and Inequalities 1. Solve the following equation Algebraically 2( x 3) = 12 Graphically 2( x 3) = 12 2. Solve the following equations algebraically a. 5w 15 2w = 2(w 5) b. 1
More informationIntegers What, Me Negative? 10.2 Number Sets Ordering and Absolute Value
Integers At 282 feet below sea level, Badwater Basin in Death Valley, California, is the lowest spot in the United States. Since terrain elevation is measured in comparison with sea level, Death Valley's
More informationName Period Date MATHLINKS: GRADE 7 STUDENT PACKET 5 RATIONAL NUMBERS: MULTIPLICATION AND DIVISION 1
Name Period Date 7-5 STUDENT PACKET MATHLINKS: GRADE 7 STUDENT PACKET 5 RATIONAL NUMBERS: MULTIPLICATION AND DIVISION 1 5.1 Multiplication: Models Explore the meaning of integer multiplication. Develop
More informationLesson 4: Efficiently Adding Integers and Other Rational Numbers
Lesson 4: Efficiently Adding Integers and Other Rational Numbers Classwork Example 1: Rule for Adding Integers with Same Signs a. Represent the sum of 3 + 5 using arrows on the number line. i. How long
More informationName: Class: Date: Describe a pattern in each sequence. What are the next two terms of each sequence?
Class: Date: Unit 3 Practice Test Describe a pattern in each sequence. What are the next two terms of each sequence? 1. 24, 22, 20, 18,... Tell whether the sequence is arithmetic. If it is, what is the
More information1.) The number of points a basketball player scored each game for one week is recorded. Which is a not a statistical question for the situation?
6 th Grade Math Common Assessment: Chapter 6 Name: Date 6.SP.1 1.) The number of points a basketball player scored each game for one week is recorded. Which is a not a statistical question for the situation?
More informationAccentuate the Negative - Unit Test Review Sheet
Name: Class: _ Date: _ Accentuate the Negative - Unit Test Review Sheet Short Answer 1. A football team loses an average of 3 yards per play. How many yards have they lost after 4 plays? Write a number
More informationG6-M3-Lesson 1: Positive and Negative Numbers on the Number Line Opposite Direction and Value
G6-M3-Lesson 1: Positive and Negative Numbers on the Number Line Opposite Direction and Value 1. Draw a number line, and create a scale for the number line in order to plot the points 1, 3, and 5. a. Graph
More informationMATH GRADE 6 UNIT 1 RATIONAL NUMBERS ANSWERS FOR EXERCISES
MATH GRADE UNIT RATIONAL NUMBERS FOR EXERCISES LESSON : THE OPPOSITE OF A NUMBER.NS..a. a. b. 7.5.NS..a. 0.NS..a 3. B.NS..a. C 5 5.NS..a 5. A 33.NS..a. 7 0 7.NS..a 7. 5 5 7 0 7.NS..a. 7 0 7.NS..a 9. 30
More information1-1 Practice. Patterns and Expressions. Describe each pattern using words. Draw the next figure in each pattern.
1-1 Practice Patterns and Expressions Describe each pattern using words. Draw the next figure in each pattern. 1. 2. 3. Copy and complete each table. Include a process column. 4. 5. 6. Input Output Input
More informationInteractive Study Guide Solving Two-Step Equations
11-1 To solve equations with more than one operation, or a two-step equation, follow the order of operations in reverse. First add or subtract then, multiply or divide. Solving Two-Step Equations Using
More informationStandard 7.NS.1(b)(c)(d) Worksheet 2 Assessment ID: dna ib
1 If y lies on a number line, and x is added to y, which of the following would be true about the location of y + x? Assume that x is not zero. A. The location of y + x would only be to the right of y.
More informationMATH 021 TEST 3 REVIEW SHEET
TO THE STUDENT: MATH 021 TEST 3 REVIEW SHEET This Review Sheet gives an outline of the topics covered on Test 3 as well as practice problems. Answers for all problems begin on page 8. In several instances,
More information6th Grade. Dependent & Independent Variables
Slide 1 / 68 Slide 2 / 68 6th Grade Dependent & Independent Variables 2014-10-28 www.njctl.org Slide 3 / 68 Table of Contents Translating to Equations Dependent and Independent Variables Click on a topic
More informationNovember 30, direct variation ink.notebook. page 162. page Direct Variation. page 163. page 164 page 165
4.6 direct variation ink.notebook page 161 page 162 4.6 Direct Variation page 163 page 164 page 165 1 Lesson Objectives Standards Lesson Notes Lesson Objectives Standards Lesson Notes 4.6 Direct Variation
More informationSolving Systems Algebraically
3-2 Solving Systems Algebraically TEKS FOCUS VOCABULARY Equivalent systems Equivalent Foundational to TEKS (3)(A) Formulate systems of equations, including systems consisting of three linear equations
More informationI will understand absolute value and use it to find magnitude of a positive or negative quantity.
Today's Objective: I will understand absolute value and use it to find magnitude of a positive or negative quantity. 1 Lesson 11: Absolute Value Magnitude and Distance Opening Exercise: 2 Example 1: The
More informationConsider the expression 3n 2 + n + 2. a. What is the coefficient of n? b. What terms are being added in the expression?
1 2 Consider the expression 3n 2 + n + 2 a. What is the coefficient of n? b. What terms are being added in the expression? 3 4 5 6 What is a common factor for the expression 24x 2 + 16x + 144? a. 16 b.
More information20.3 Applying the Zero Product Property to Solve Equations
20.3 Applying the Zero Product Property to Solve Equations Essential Question: How can you use the Zero Product Property to solve quadratic equations in factored form? Resource Locker Explore Understanding
More informationGrade 8 + DIGITAL. EL Strategies. DOK 1-4 RTI Tiers 1-3. Flexible Supplemental K-8 ELA & Math Online & Print
Standards PLUS Flexible Supplemental K-8 ELA & Math Online & Print Grade 8 SAMPLER Mathematics EL Strategies DOK 1-4 RTI Tiers 1-3 15-20 Minute Lessons Assessments Consistent with CA Testing Technology
More informationAlgebra 2 Honors Summer Review
Algebra Honors Summer Review 07-08 Label each problem and do all work on separate paper. All steps in your work must be shown in order to receive credit. No Calculators Allowed. Topic : Fractions A. Perform
More informationCommutative Property of Addition a + b = b + a Multiplication a b = b a
1 Properties: Commutative Property of Addition a + b = b + a Multiplication a b = b a 1 Which property is illustrated in each of the equations below? A. Associative Property of Addition (a + b) + c = a
More informationMagnificent Magnitude
Magnificent Magnitude Absolute Value 2 WARM UP Plot each set of numbers on the number line and describe the relationship between the numbers. 1. 5 and 25 2. 2 3 4 and 22 3 4 3. 8.634 and 28.634 LEARNING
More informationAbsolute Value. 1. What is the absolute value of the number indicated on the number line below?
Mr. Larson Absolute Value NAME DATE 1. What is the absolute value of the number indicated on the number line below? -17 18-18 17 2. The average temperature in Antarctica is about -50 Which of the following
More informationCourse 1 Unit 2 Practice
Course 1 Unit Practice Lesson 7-1 1. Model with mathematics. Identify the integer at each point. M N P Q R S 4. Make use of structure. a. Can a positive rational number be an integer? Explain. Give an
More informationSection 1 - Introduction to Integers
Pre Algebra Unit 1 Unit 1 Integers Objective Overview The following is a small subset of possible problems that could represent each objective. Refer to notes, homework and reviews for a more complete
More informationKEY TERMS inequality solve an inequality solution set Properties of Inequalities
Be Greater Than Solving Inequalities with Inverse 4 Operations WARM UP Graph each inequality on a number line. 1. x. 5. x $ 1 3. x, 6. 4. x # 9 LEARNING GOALS Solve and graph one- and two-step inequalities.
More informationLesson 8: Representing Proportional Relationships with Equations
Lesson 8: Representing Proportional Relationships with Equations Student Outcomes Students use the constant of proportionality to represent proportional relationships by equations in real world contexts
More informationMath 8 Notes Units 1B: One-Step Equations and Inequalities
Math 8 Notes Units 1B: One-Step Equations and Inequalities Solving Equations Syllabus Objective: (1.10) The student will use order of operations to solve equations in the real number system. Equation a
More informationUnit Essential Questions. Can equations that appear to be different be equivalent? How can you solve equations?
Unit Essential Questions Can equations that appear to be different be equivalent? How can you solve equations? What kinds of relationships can proportions represent? Williams Math Lessons TARGET ONE-STEP
More informationInteresting Integers!
Interesting Integers! What You Will Learn n Some definitions related to integers. n Rules for adding and subtracting integers. n A method for proving that a rule is true. Are you ready?? Definition n Positive
More informationTemperature Ups and Downs Lesson 10-1 Multiplying Integers
Temperature Ups and Downs Lesson 10-1 Learning Targets: Multiply integers. Solve real-world problems by multiplying integers. SUGGESTED LEARNING STRATEGIES: Marking the Text, Visualization, Predict and
More informationMultiple Choice. Test A. Use the figure below for 6 9.
Test A Choose the best answer. 1. Which number represents being paid $5.00? A 500 C +5.00 B 5.00 D +500 2. Which number added to 1 gives the sum of 0? A 1 B 1 3. Which is not equal to the absolute value
More informationInequalities. Writing and Solving One-Step Inequalities COMMON CORE. Writing Two-Step Inequalities COMMON CORE
? Inequalities 7 MODULE ESSENTIAL QUESTION How can you use inequalities to solve real-world problems? LESSON 7.1 Writing and Solving One-Step Inequalities 7.EE.4b LESSON 7.2 Writing Two-Step Inequalities
More informationSample: Do Not Reproduce LF6 STUDENT PAGES LINEAR FUNCTIONS STUDENT PACKET 6: SYSTEMS OF LINEAR EQUATIONS. Name Period Date
Name Period Date LINEAR FUNCTIONS STUDENT PACKET 6: SYSTEMS OF LINEAR EQUATIONS LF6.1 LF6.2 LF6.3 Introduction to Systems of Linear Equations Understand the definition of a system of linear equations Understand
More informationAlgebra 1, Chapter 4 Post Test
Class: Date: Algebra 1, Chapter 4 Post Test Review 4.1.1: I can represent mathematical relationships using graphs. 1. (2 points) Sketch a graph of the speed of a city bus on a daily route. Label each section.
More informationRising 7 th Grade Summer Assignment
Rising 7 th Grade Summer Assignment Concept 1 - Negative Numbers/Absolute Value (6.NS.5, 6a, 7abcd) Negative Numbers On a number line, numbers get to the right and to the left. Any number to the left of
More informationMini Lecture 1.1 Introduction to Algebra: Variables and Mathematical Models
Mini Lecture. Introduction to Algebra: Variables and Mathematical Models. Evaluate algebraic expressions.. Translate English phrases into algebraic expressions.. Determine whether a number is a solution
More informationStrategic Math. General Review of Algebra I. With Answers. By: Shirly Boots
Strategic Math General Review of Algebra I With Answers By: Shirly Boots 1/6 Add/Subtract/Multiply/Divide Addmoves to the right -3-2 -1 0 1 2 3 Subtract moves to the left Ex: -2 + 8 = 6 Ex: -2 8 = - 10
More information4-6 The Quadratic Formula and the Discriminant. Solve each equation by using the Quadratic Formula. 1. ANSWER: ANSWER: ANSWER: ANSWER: ANSWER:
Solve each equation by using the Quadratic Formula. 7. 1. 2. 8. 3. 9. CCSS MODELING An amusement park ride takes riders to the top of a tower and drops them at speeds reaching 80 feet per second. A function
More informationy t is not explicitly given. Both x and y are measured in meters, and t is measured in seconds. It is known
A particle is moving along a curve so that its position at time t is x t, y t, where x t t 4t 8 and y t is not explicitly given. Both x and y are measured in meters, and t is measured in seconds. It is
More informationHS Mathematics Item Specification C1 TL Task Model 1
Task Model 1 Matching Table DOK Level 1 F-IF.B.4 models a relationship quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a
More informationA. Incorrect! Replacing is not a method for solving systems of equations.
ACT Math and Science - Problem Drill 20: Systems of Equations No. 1 of 10 1. What methods were presented to solve systems of equations? (A) Graphing, replacing, and substitution. (B) Solving, replacing,
More information7 LESSON 7.1 Writing and Solving One-Step Inequalities
Inequalities? MODULE ESSENTIAL QUESTION How can you use inequalities to solve real-world problems? 7 LESSON 7.1 Writing and Solving One-Step Inequalities 7.EE.4b LESSON 7.2 Writing Two-Step Inequalities
More informationAustin is the capital of Texas, and Texas shares a border with Louisiana. is true because p is true and r is true. 2-2 Logic
Use the following statements and figure to write a compound statement for each conjunction or disjunction. Then find its truth value. Explain your reasoning. p : is the angle bisector of. q: Points C,
More informationName Period Date DRAFT
Name Period Date Equations and Inequalities Student Packet 4: Inequalities EQ4.1 EQ4.2 EQ4.3 Linear Inequalities in One Variable Add, subtract, multiply, and divide integers. Write expressions, equations,
More informationName: Date: Core: Rational Numbers. Opposite and Absolute Value of Integers. Comparing and Ordering Rational Numbers
Name: Date: Core: Rational Numbers Comparing and Ordering Integers Opposite and Absolute Value of Integers Intro to Rational Numbers Comparing and Ordering Rational Numbers Rational Numbers on Coordinate
More informationChapter Review. Connecting BIG ideas and Answering the Essential Questions. n+3 I n I 3 I r. 68 Chapter 1 Chapter Review
Chapter Review Connecting BIG ideas and Answering the Essential Questions 1 Variable You can use variables to represent quantities and to write algebraic expressions and equations. / Variables and Expressions
More informationMATH STUDENT BOOK. 6th Grade Unit 9
MATH STUDENT BOOK 6th Grade Unit 9 Unit 9 Integers and Transformations MATH 609 Integers and Transformations 1. INTEGERS 5 INTEGERS 6 COMPARING AND ORDERING INTEGERS 12 ABSOLUTE VALUE 16 COORDINATE PLANE
More informationChapter 2 Integers and Introduction to Solving Equations
Chapter Integers and Introduction to Solving Equations.1 Check Points 1. a. 500 b. 8.. a. 6> 7 because 6 is to the right of 7 on the number line. b. 8< 1 because 8 is to the left of 1 on the number line.
More informationMath 3 Variable Manipulation Part 7 Absolute Value & Inequalities
Math 3 Variable Manipulation Part 7 Absolute Value & Inequalities 1 MATH 1 REVIEW SOLVING AN ABSOLUTE VALUE EQUATION Absolute value is a measure of distance; how far a number is from zero. In practice,
More information2) MAFS.6.EE Which expression represents 6 more than x? 2. Which of these expressions represents the sum of 3 and n? Select all that apply.
1) MAFS.6.EE.1.1 2) MAFS.6.EE.1.2 3) MAFS.6.EE.1.3 1. An expression is shown. 7! 7! 7!7!7!7. What is the expression written in exponential form? 1. Which expression represents 6 more than x? 2. Which of
More informationGrade 7 Mathematics Test Booklet
Student Name P Grade Test Booklet Practice Test TEST BOOKLET SECURITY BARCODE Unit 1 Unit 1 Directions: Today, you will take Unit 1 of the Grade Practice Test. Unit 1 has two sections. In the first section,
More information11.4 Solving Linear Systems by Multiplying First
Name Class Date 11. Solving Linear Systems by Multiplying First Essential Question: How can you solve a system of linear equations by using multiplication and elimination? Resource Locker Eplore 1 Understanding
More informationAssignment. I Love New York Negative Numbers in the Real World
Assignment Assignment for Lesson 7.1 Name I Love New York Negative Numbers in the Real World Date 1. The highest temperature ever recorded on Earth was 136 F at Al Aziziyah, Libya, in Africa. The lowest
More informationLesson 7.5. Week Value of w Amount Saved = 25 + _ = = 25 + _ = = 25 + _ =
Name Evaluate Algebraic Expressions and Formulas Essential Question How do you evaluate an algebraic expression or a formula? To evaluate an algebraic expression, substitute numbers for the variables and
More information2-1 Integers and Absolute Value
Write an integer for each situation. Identify its opposite and describe its meaning. 1. a bank withdrawal of $500 500; +500 or 500; a deposit of $500 2. a gain of 4 pounds +4 or 4; 4; a loss of 4 pounds
More informationGrade 6 Mathematics Item Specification C1 TD
Task Model 1 Equation/Numeric 6.NS.C.5 Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below zero, elevation
More informationALGEBRA UNIT 5 -SYSTEMS SOLVING SYSTEMS: GRAPHICALLY (Day 1)
ALGEBRA UNIT 5 -SYSTEMS SOLVING SYSTEMS: GRAPHICALLY (Day 1) System: Solution to Systems: Number Solutions Exactly one Infinite No solution Terminology Consistent and Consistent and Inconsistent independent
More informationReview Problems for 8th Grade Algebra 1 Honors
Page 1 of 6 Review Problems for 8th Grade Algebra 1 Honors Chapter 1, Section 1.1 Evaluate each expression 1. 2. 3. 4. A swimming pool is 5m wide and long. A concrete walk that is 2m wide surrounds the
More informationToday I will write and explain inequality statements involving rational numbers
Today I will write and explain inequality statements involving rational numbers Lesson 0: Writing and Interpreting Inequality Statements Involving Rational Numbers Classwork: The amount of money I have
More informationUNIT 5 INEQUALITIES CCM6+/7+ Name: Math Teacher:
UNIT 5 INEQUALITIES 2015-2016 CCM6+/7+ Name: Math Teacher: Topic(s) Page(s) Unit 5 Vocabulary 2 Writing and Graphing Inequalities 3 8 Solving One-Step Inequalities 9 15 Solving Multi-Step Inequalities
More informationAdding and Subtracting Integers. How can you use addition and subtraction of integers to solve real-world problems?
UNIT 1 Study Guide Review? MODULE 1 ESSENTIAL QUESTION Adding and Subtracting Integers How can you use addition and subtraction of integers to solve real-world problems? Key Vocabulary additive inverse
More information