Lesson Multi-Step Inequalities with Distributive Property
|
|
- Arline Carpenter
- 5 years ago
- Views:
Transcription
1 Lesson: Lesson 6..6 Multi-Step Inequalities with Distributive Property 6..6 (Day ) - Supplement Multi-Step Inequalities with Distributive Property Teacher Lesson Plan CC Standards 7.EE.4b Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. b) Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem. For example: As a salesperson, you are paid $0 per week plus $3 per sale. This week you want your pay to be at least $00. Write an inequality for the number of sales you need to make, and describe the solutions. Objective The student will solve multi-step inequalities by combining like terms and distributing. The student will graph solutions to multi-step inequalities. Mathematical Practices # Make sense of problems and persevere in solving them. # Use appropriate tools strategically. #6 Attend to precision. #7 Look for and make use of structure. Teacher Input Bellwork: Review bellwork. Homework: Review important problems assigned the previous night. Introduction: Introduce as directed on the PowerPoint. Lesson: Teach as directed by PowerPoint. Look at each slide for additional comments and answers. Make sure students follow along in their notes. Classwork Pages -6 Homework Page 7 Extra Practice This link will take you to a really good practice worksheet on this objective. The problems include -step equations and equations involving the distributive property. They are also provided a number line to graph the solution. Pages 8-9 below might be good for struggling students. Closure See last slide for closure, or close with an activity. P a g e
2 Steps for solving any Equation or Inequality ) Distribute if you can. ) Combine the like terms. 3) Solve the simplified equation by undoing in reverse. 4) Check your answer. Student Notes When solving an inequality, remember to reverse the symbol when multiplying or dividing both sides by a negative number. Look for the variable. If it is teamed up with a negative number then you will have to flip it! Guided Practice # You Try # + 9j + j 7 b 3b + 3 Guided Practice # You Try # 3z z 30 > 4 7n 8n 3 < 3 P a g e
3 Guided Practice #3 You Try #3 9(q + 3) < 4 (x + ) > Guided Practice #4 You Try #4 (x + 4) 0 3 (x + 3) 9 4 Guided Practice # You Try # x + (x + ) 3 6y + (y + 3) > 6 3 P a g e
4 Guided Practice #6 You Try #6 3x+4 3 x 3 < 6 x Guided Practice #7 You Try #7 3x (x 7) 8 x (x + 3) > 9 Guided Practice #8 You Try #8 3(x + ) (x 4) < 8 4(3 x) 3(4 x) > 4 P a g e
5 Name Date Period Classwork Solve.. 3(x + 4) >. 4(x ) < 8 3. (y + 7) < (x + ) > 8. 3(x 9) (y + 4) 6 7. (x + ) (y 3) + y > (x + ) 0x > (x ) + x 4 P a g e
6 . (y + 4) y > 8. (x + ) + 6(x ) (x + 4) (x + ) > 4. (y 4) + 8y + < 6. 8(x + ) 9x + x (3x 6) x + 6 > x < (x + ) > (x ) P a g e
7 Name Date Period Homework Solve and Graph n n 86. 3(x ) > 3. (y + 3) 4. (x + 0). x + 4(x ) < x ( x + 6) > 7 P a g e
8 Name Date Period Inequalities - Round Directions: Write the solution of each inequality. Extra Practice. x + > 8 3. x >. x + > 8 4. x > 3. x + 3 > 8. 3 x > 3 4. x + 4 > x > 4. x > 3 7. x + 4 > 8 6. x > 3 8. x + > 9 7. x 3 > 3 9. x + 6 > 0 8. x 4 > x < 9. 3x > 3. x 3 < 0. 3x > 8 3. x <. 3x > 33. x + > 7. 3x > x + > 8 3. x > 4 3. x + 3 > 9 4. x > 36. 3x + > 8. x > x + > 0 6. x < x + > 3 7. x < 39. (x + 3) > 4 8. x < (x + 3) < x > 4. 4(x + 3) > 8 x > 4. (x 3) < 0 x > (x 3) > 8 x > (x + 3) < 8 8 P a g e
9 Name Date Period Extra Practice Inequalities Round Directions: Write the solution of each inequality.. x + 6 < x <. x + < x < 3. x + 4 < x < 3 4. x + 3 < x < 4. x 3 < 7. 3x + 3 < 6 6. x 4 < 8. 3x + 4 < 7 7. x < 9. 3x + < 8 8. x 6 < 30. 3x > 9. 4x < x 4 > 0. 4x < x 7 >. 4x < 33. l 3x + < 7. 4x < x + < 7 3. x < x + 3 < 9 4. x < 36. 4x + <. x < x + < 7 6. x < x + < 3 7. x < (x + ) < 9 8. x < (x + ) < x < 4. (x + ) > x < 4. (x + ) < 4 x < (x ) < 9 x < (4x + ) < 9 P a g e
10 0 P a g e
11 Steps for solving any Equation or Inequality ) Distribute if you can. 6) Combine the like terms. 7) Solve the simplified equation by undoing in reverse. 8) Check your answer. Student Notes When solving an inequality, remember to reverse the symbol when multiplying or dividing both sides by a negative number. Look for the variable. If it is teamed up with a negative number then you will have to flip it! Guided Practice # You Try # + 9j + j 7 j 6 b 3b + 3 b -4 Guided Practice # You Try # 3z z 30 > 4 z < -7 7n 8n 3 < 3 n > -6 P a g e
12 Guided Practice #3 You Try #3 9(q + 3) < 4 q > -8 (x + ) > q < - Guided Practice #4 You Try #4 (x + 4) 0 x 6 3 (x + 3) 9 x 9 4 Guided Practice # You Try # x + (x + ) 3 x 3 6y + (y + 3) > 6 y> P a g e
13 Guided Practice #6 You Try #6 3x+4 3 x 3 < 6 x > 7 6 x x 4 Guided Practice #7 You Try #7 3x (x 7) 8 x x (x + 3) > 9 x > Guided Practice #8 You Try #8 3(x + ) (x 4) < 8 x < 8 4(3 x) 3(4 x) > x< 3 P a g e
14 Name Date Period Classwork Solve.. 3(x + 4) > x > 3. 4(x ) < 8 x < 3 3. (y + 7) < 70 x < (x + ) > 8 x < 4. 3(x 9) 30 x 9 6. (y + 4) 6 x 7. (x + ) 00 x 8 8. (y 3) + y > 6 y > 9. 4(x + ) 0x > 38 x < 0. 3(x ) + x 4 x 6 4 P a g e
15 . (y + 4) y > 8 y < 4. (x + ) + 6(x ) 0 x (x + 4) (x + ) > x > 4. (y 4) + 8y + < 6 y <. 8(x + ) 9x + x 4 x 6. 3 (3x 6) + x x + 6 > x > x < 6 x > (x + ) > 7 x < (x ) x 3 P a g e
16 Name Date Period Homework Solve and Graph n n 86 n. 3(x ) > x > 9 3. (y + 3) y 9 4. (x + 0) x. x + 4(x ) < 0 x > x ( x + 6) > x > 3 6 P a g e
17 Inequalities - Round [KEY] Directions: Write the solution of each inequality. Extra Practice. x + > 8 x > 7 3. x > x < 0. x + > 8 x > 6 4. x > x < 3. x + 3 > 8 x >. 3 x > 3 x < 4. x + 4 > 8 x > x > 4 x <. x > 3 x > 4 7. x + 4 > 8 x > 6. x > 3 x > 8. x + > 9 x > 7. x 3 > 3 x > 6 9. x + 6 > 0 x > 8. x 4 > 3 x > x < x < x > x > 3. x 3 < x < x > 8 x > 6 3. x < x <. 3x > x > x + > 7 x < 3. 3x > 4 x > x + > 8 x < 3. x > 4 x < 4 3. x + 3 > 9 x < 3 4. x > x < 36. 3x + > 8 x < 3. x > 6 x < x + > 0 x < 3 6. x < 4 x > x + > 3 x < 4 7. x < x > 39. (x + 3) > 4 x > 8. x < 6 x > (x + 3) < 6 x < x > x > 4. 4(x + 3) > 8 x > x > x > 4 4. (x 3) < 0 x > x > 3 x > (x 3) > 8 x < x > 4 x > (x + 3) < 8 x > 7 7 P a g e
18 Inequalities Round [KEY] Directions: Write the solution of each inequality. Extra Practice. x + 6 < 9 x < 3 3. x < x > 6. x + < 9 x < 4 4. x < x > x + 4 < 9 x <. 3 x < 3 x > x + 3 < 9 x < x < 4 x > 6 6. x 3 < x < x + 3 < 6 x < 6. x 4 < x < x + 4 < 7 x < 7. x < x < x + < 8 x < 8. x 6 < x < 30. 3x > x > 9. 4x < 0 x < 3. 3x 4 > x > x < 6 x < x 7 > x > 4. 4x < x < l 3x + < 7 x >. 4x < 8 x < 34. 3x + < 7 x > 3 3. x < 6 x > x + 3 < 9 x > 4. x < x > 36. 4x + < x > 3. x < 4 x > x + < 7 x > 6. x < 8 x > x + < 3 x > 7. x < 7 x > (x + ) < 9 x < 8. x < 6 x > (x + ) < x < x < x < 4. (x + ) > x > x < x < 0 4. (x + ) < 4 x > 3 x < 3 x < 43. 3(x ) < 9 x > x < 4 x < (4x + ) < x > 8 P a g e
Lesson Writing Equations and Inequalities
Lesson: Lesson 6.2.7 Writing Equations and Inequalities 6.2.7 Supplement Writing Equations and Inequalities Teacher Lesson Plan CC Standards 7.EE.1 Apply properties of equations as strategies to add, subtract,
More informationSection 9.1 Solving Linear Inequalities
Section 9.1 Solving Linear Inequalities We know that a linear equation in x can be expressed as ax + b = 0. A linear inequality in x can be written in one of the following forms: ax + b < 0, ax + b 0,
More informationApplications of Exponential Functions Group Activity 7 Business Project Week #10
Applications of Exponential Functions Group Activity 7 Business Project Week #10 In the last activity we looked at exponential functions. This week we will look at exponential functions as related to interest
More informationAlgebra Success. LESSON 14: Discovering y = mx + b
T282 Algebra Success [OBJECTIVE] The student will determine the slope and y-intercept of a line by examining the equation for the line written in slope-intercept form. [MATERIALS] Student pages S7 S Transparencies
More informationAlgebra Success. [MULTIPLE REPRESENTATIONS] SOLVE, Verbal Description, Algebraic Formula, Concrete Representation, Pictorial Representation
T755 [OBJECTIVE] The student will learn how to multiply polynomials. [MATERIALS] Student pages S289 S297 Transparencies T765, T767, T769, T771, T773, T775 [ESSENTIAL QUESTIONS] 1. When multiplying polynomials,
More information* The Unlimited Plan costs $100 per month for as many minutes as you care to use.
Problem: You walk into the new Herizon Wireless store, which just opened in the mall. They offer two different plans for voice (the data and text plans are separate): * The Unlimited Plan costs $100 per
More informationMathematics: The Language of STEM School Supplies Sandy McClellan
CONTENT AND TASK DECISIONS Grade Level(s): Sixth Grade Mathematics: The Language of STEM School Supplies Sandy McClellan Description of the Task: Students are to buy required school supplies on a budget
More information6.4 Solving Linear Inequalities by Using Addition and Subtraction
6.4 Solving Linear Inequalities by Using Addition and Subtraction Solving EQUATION vs. INEQUALITY EQUATION INEQUALITY To solve an inequality, we USE THE SAME STRATEGY AS FOR SOLVING AN EQUATION: ISOLATE
More informationComparing Investments
Lesson 37 Mathematics Assessment Project Formative Assessment Lesson Materials Comparing Investments MARS Shell Center University of Nottingham & UC Berkeley Alpha Version Please Note: These materials
More informationModule 6 Percent % Section 6.1 Understanding Percent. 1 of MAT001 MODULE 6 PERCENT. Denominators of 100
Module 6 Percent % Section 6.1 Understanding Percent CQ-6-01. Write 0.19% 19% 1900% 0.0019% 19 as a percent. P. 1 of 54 P. 4 of 54 Denominators of The word percent means per hundred. A percent is another
More informationLinear Modeling Business 5 Supply and Demand
Linear Modeling Business 5 Supply and Demand Supply and demand is a fundamental concept in business. Demand looks at the Quantity (Q) of a product that will be sold with respect to the Price (P) the product
More informationLesson Exponential Models & Logarithms
SACWAY STUDENT HANDOUT SACWAY BRAINSTORMING ALGEBRA & STATISTICS STUDENT NAME DATE INTRODUCTION Compound Interest When you invest money in a fixed- rate interest earning account, you receive interest at
More informationMathematics Success Level H
Mathematics Success Level H T473 [OBJECTIVE] The student will graph a line given the slope and y-intercept. [MATERIALS] Student pages S160 S169 Transparencies T484, T486, T488, T490, T492, T494, T496 Wall-size
More informationInequalities - Solve and Graph Inequalities
3.1 Inequalities - Solve and Graph Inequalities Objective: Solve, graph, and give interval notation for the solution to linear inequalities. When we have an equation such as x = 4 we have a specific value
More informationLearning Plan 3 Chapter 3
Learning Plan 3 Chapter 3 Questions 1 and 2 (page 82) To convert a decimal into a percent, you must move the decimal point two places to the right. 0.72 = 72% 5.46 = 546% 3.0842 = 308.42% Question 3 Write
More informationtroduction to Algebra
Chapter Six Percent Percents, Decimals, and Fractions Understanding Percent The word percent comes from the Latin phrase per centum,, which means per 100. Percent means per one hundred. The % symbol is
More informationName For those going into. Algebra 1 Honors. School years that begin with an ODD year: do the odds
Name For those going into LESSON 2.1 Study Guide For use with pages 64 70 Algebra 1 Honors GOAL: Graph and compare positive and negative numbers Date Natural numbers are the numbers 1,2,3, Natural numbers
More informationQuadratic Modeling Elementary Education 10 Business 10 Profits
Quadratic Modeling Elementary Education 10 Business 10 Profits This week we are asking elementary education majors to complete the same activity as business majors. Our first goal is to give elementary
More informationProbability and Stochastics for finance-ii Prof. Joydeep Dutta Department of Humanities and Social Sciences Indian Institute of Technology, Kanpur
Probability and Stochastics for finance-ii Prof. Joydeep Dutta Department of Humanities and Social Sciences Indian Institute of Technology, Kanpur Lecture - 07 Mean-Variance Portfolio Optimization (Part-II)
More informationLesson 4: Why do Banks Pay YOU to Provide Their Services?
Student Outcomes Students compare the rate of change for simple and compound interest and recognize situations in which a quantity grows by a constant percent rate per unit interval. Classwork Opening
More informationThe Normal Probability Distribution
1 The Normal Probability Distribution Key Definitions Probability Density Function: An equation used to compute probabilities for continuous random variables where the output value is greater than zero
More informationWarm up. Seek and Solve!!!
Warm up Seek and Solve!!! Seek and Solve Answers: 0 2 DNE 3 Investigation # 1 Use the graph of y = 2 below to find the following limits: 1. lim x 2 2 = 3 2. lim x 0 2 = 3 3 3. lim x 3 2 = 3 Basic Limit
More informationDate: Student Name: Teacher Name: Romelle Loewy. Score: 1) Simplify: 9(a + b) + 4(3a + 2b) A) 13a 13b C) 21a + 2b B) 21a + 17b D) 38ab
Grade 7 Mathematics EOG (GSE) Quiz Answer Key Expressions and Equations - (MGSE7.EE.1 ) Work With Expressions, (MGSE7.EE.2 ) Rewriting Expressions In Diff. Forms, (MGSE7.EE.3 ) Problems With Positive &
More informationLesson 28. Student Outcomes. Lesson Notes. Materials. Classwork. Formulating the Problem (15 minutes)
Student Outcomes Students create equations and inequalities in one variable and use them to solve problems. Students create equations in two or more variables to represent relationships between quantities
More informationHere are the steps required for Adding and Subtracting Rational Expressions:
Here are the steps required for Adding and Subtracting Rational Expressions: Step 1: Factor the denominator of each fraction to help find the LCD. Step 3: Find the new numerator for each fraction. To find
More informationBACKGROUND KNOWLEDGE for Teachers and Students
Pathway: Agribusiness Lesson: ABR B4 1: The Time Value of Money Common Core State Standards for Mathematics: 9-12.F-LE.1, 3 Domain: Linear, Quadratic, and Exponential Models F-LE Cluster: Construct and
More informationMFM 1P. Foundations of Mathematics Grade 9 Applied Mitchell District High School. Unit 2 Proportional Reasoning 9 Video Lessons
MFM 1P Foundations of Mathematics Grade 9 Applied Mitchell District High School Unit 2 Proportional Reasoning 9 Video Lessons Allow no more than 14 class days for this unit! This includes time for review
More informationTHIS WORKSHEET IS THE PROPERTY OF METAMETRICS, INC. AND IS INTENDED FOR INSTRUCTIONAL USE ONLY.
WORKSHEET The Quantile Framework for Mathematics QT--345: Write the equation of and graph linear relationships given the slope and -intercept. irections: For each item, choose the best answer.. Which line
More informationMultiplying and Dividing Rational Expressions
COMMON CORE 4 Locker LESSON 9. Multiplying and Dividing Rational Expressions Name Class Date 9. Multiplying and Dividing Rational Expressions Essential Question: How can you multiply and divide rational
More informationLesson 21: Comparing Linear and Exponential Functions Again
: Comparing Linear and Exponential Functions Again Student Outcomes Students create models and understand the differences between linear and exponential models that are represented in different ways. Lesson
More information7th Grade Math Chapter 6 Percents
7th Grade Math Chapter 6 Percents Name: Period: Common Core State Standards CC.7.EE.2 - Understand that rewriting an expression in different forms in a problem context can shed light on the problem and
More informationPercent: Slide 1 / 194. Slide 2 / 194. Slide 4 / 194. Slide 3 / 194. Slide 6 / 194. Slide 5 / 194. Table of Contents. Ratios as Percents
Slide 1 / 194 Percents Slide 2 / 194 Table of Contents Ratios as Percents Decimals as Percents Percents as Decimals Fractions as Percents Percents as Fractions Fractional Parts and Equivalent Names Relating
More information3.4.1 Convert Percents, Decimals, and Fractions
3.4.1 Convert Percents, Decimals, and Fractions Learning Objective(s) 1 Describe the meaning of percent. 2 Represent a number as a decimal, percent, and fraction. Introduction Three common formats for
More informationFind each percent of change. Round answers to the nearest tenth of a percent, if necessary. A. 65 is decreased to 38.
LESSON 6-6 Percent of Change Lesson Objectives Solve problems involving percent of change Vocabulary percent of change (p. 352) percent of increase (p. 352) percent of decrease (p. 352) Additional Examples
More informationLesson 6: Exponential Growth U.S. Population and World Population
Exponential Growth U.S. Population and World Population Classwork Mathematical Modeling Exercise 1 Callie and Joe are examining the population data in the graphs below for a history report. Their comments
More informationMATH THAT MAKES ENTS
On December 31, 2012, Curtis and Bill each had $1000 to start saving for retirement. The two men had different ideas about the best way to save, though. Curtis, who doesn t trust banks, put his money in
More informationx f(x) D.N.E
Limits Consider the function f(x) x2 x. This function is not defined for x, but if we examine the value of f for numbers close to, we can observe something interesting: x 0 0.5 0.9 0.999.00..5 2 f(x).5.9.999
More informationComparing Investments
CONCEPT DEVELOPMENT Mathematics Assessment Project CLASSROOM CHALLENGES A Formative Assessment Lesson Comparing Investments Mathematics Assessment Resource Service University of Nottingham & UC Berkeley
More informationYosemite Trip Participants
Yosemite Trip Participants During your trip you will have the opportunity to enjoy many exciting and new experiences. Because of the myriad of activities planned, you will probably not have any time to
More information9.3. Solving Multi-Step Inequalities. Explore Multi-Step Inequalities. Focus on. Reflect and Check
9.3 Focus on After this lesson, you will be able to solve multi-step linear inequalities and verify their solutions compare the processes for solving linear equations and linear inequalities solve problems
More informationMathematics Success Grade 8
Mathematics Success Grade 8 T379 [OBJECTIVE] The student will derive the equation of a line and use this form to identify the slope and y-intercept of an equation. [PREREQUISITE SKILLS] Slope [MATERIALS]
More information2.01 Products of Polynomials
2.01 Products of Polynomials Recall from previous lessons that when algebraic expressions are added (or subtracted) they are called terms, while expressions that are multiplied are called factors. An algebraic
More informationUnit 8 Notes: Solving Quadratics by Factoring Alg 1
Unit 8 Notes: Solving Quadratics by Factoring Alg 1 Name Period Day Date Assignment (Due the next class meeting) Tuesday Wednesday Thursday Friday Monday Tuesday Wednesday Thursday Friday Monday Tuesday
More information1. FRACTIONAL AND DECIMAL EQUIVALENTS OF PERCENTS
Percent 7. FRACTIONAL AND DECIMAL EQUIVALENTS OF PERCENTS Percent means out of 00. If you understand this concept, it then becomes very easy to change a percent to an equivalent decimal or fraction. %
More informationBefore How can lines on a graph show the effect of interest rates on savings accounts?
Compound Interest LAUNCH (7 MIN) Before How can lines on a graph show the effect of interest rates on savings accounts? During How can you tell what the graph of simple interest looks like? After What
More information1.3 Real World and Mathematical Problems
.3. Real World and Mathematical Problems with Rational Numbers - 7.NS.3 www.ck2.org.3 Real World and Mathematical Problems with Rational Numbers - 7.NS.3 Students will change between equivalent forms of
More informationReal Estate Expenses. Example 1. Example 2. To calculate the initial expenses of buying a home
Real Estate Expenses To calculate the initial expenses of buying a home One of the largest investments most people ever make is the purchase of a home. The major initial expense in that purchase is the
More informationPrentice Hall Connected Mathematics 2, 7th Grade Units 2009 Correlated to: Minnesota K-12 Academic Standards in Mathematics, 9/2008 (Grade 7)
7.1.1.1 Know that every rational number can be written as the ratio of two integers or as a terminating or repeating decimal. Recognize that π is not rational, but that it can be approximated by rational
More informationI(g) = income from selling gearboxes C(g) = cost of purchasing gearboxes The BREAK-EVEN PT is where COST = INCOME or C(g) = I(g).
Page 367 I(g) = income from selling gearboxes C(g) = cost of purchasing gearboxes The BREAK-EVEN PT is where COST = INCOME or C(g) = I(g). PROFIT is when INCOME > COST or I(g) > C(g). I(g) = 8.5g g = the
More informationMathematics: A Christian Perspective
Mathematics: A Christian Perspective STUDENT VERSION Gino Santa Maria. Image from BigStockPhoto.com. James Bradley, Calvin College Andrew Busch, Fremont High School, Fremont, Michigan David Klanderman,
More informationCollege Prep Mathematics Mrs. Barnett
College Prep Mathematics Mrs. Barnett 3-1 Percent and Number Equivalents Goals: Write any number as a percent equivalent Write any percent as a numerical equivalent Writing numbers as percents Remember
More informationFinance Mathematics. Part 1: Terms and their meaning.
Finance Mathematics Part 1: Terms and their meaning. Watch the video describing call and put options at http://www.youtube.com/watch?v=efmtwu2yn5q and use http://www.investopedia.com or a search. Look
More information2) Endpoints of a diameter (-1, 6), (9, -2) A) (x - 2)2 + (y - 4)2 = 41 B) (x - 4)2 + (y - 2)2 = 41 C) (x - 4)2 + y2 = 16 D) x2 + (y - 2)2 = 25
Math 101 Final Exam Review Revised FA17 (through section 5.6) The following problems are provided for additional practice in preparation for the Final Exam. You should not, however, rely solely upon these
More informationAlgebra I EOC 10-Day STAAR Review. Hedgehog Learning
Algebra I EOC 10-Day STAAR Review Hedgehog Learning Day 1 Day 2 STAAR Reporting Category Number and Algebraic Methods Readiness Standards 60% - 65% of STAAR A.10(E) - factor, if possible, trinomials with
More informationHomework on Rational Functions - Solutions
Homework on Rational Functions - Solutions Fall, 2 Philippe B. Laval Name 1. For each function below, do the following: find the domain find the intercepts find the asymptotes find the end behavior sketch
More informationStudent Activity: Show Me the Money!
1.2 The Y-Intercept: Student Activity Student Activity: Show Me the Money! Overview: Objective: Terms: Materials: Procedures: Students connect recursive operations with graphs. Algebra I TEKS b.3.b Given
More informationHFCC Math Lab Intermediate Algebra - 8 ADDITION AND SUBTRATION OF RATIONAL EXPRESSIONS
HFCC Math Lab Intermediate Algebra - 8 ADDITION AND SUBTRATION OF RATIONAL EXPRESSIONS Adding or subtracting two rational expressions require the rational expressions to have the same denominator. Example
More information6 th Math Common Assessment Unit #3B PART ONE: Expressions and Equations Form A (6.9A, 6.9B, 6.9C, 6.10A, 6.10B)
6 th Math Common Assessment Unit #3B PART ONE: Expressions and Equations Form A (6.9A, 6.9B, 6.9C, 6.10A, 6.10B) Name: 1. (6.9A) Eric is trying to earn enough money to rent a house on the beach for the
More information2-6 Rates, Ratios, and Proportions
2-6 Rates, Ratios, and Proportions Warm Up Lesson Presentation Lesson Quiz Bell Quiz 2-6(a) Solve each equation. Check your answer. 1. 6x = 36 2. 3. 5m = 18 4. Multiply. 7 5. 8 8 10 pts possible Questions
More informationLesson 8: Modeling a Context from a Verbal Description
Classwork Example Christine has $ to deposit in a savings account and she is trying to decide between two banks. Bank A offers % annual interest compounded quarterly. Rather than compounding interest for
More informationLaurie s Notes. Overview of Section 7.6. (1x + 6)(2x + 1)
Laurie s Notes Overview of Section 7.6 Introduction In this lesson, students factor trinomials of the form ax 2 + bx + c. In factoring trinomials, an common factor should be factored out first, leaving
More informationWeek 19 Algebra 2 Assignment:
Week 9 Algebra Assignment: Day : pp. 66-67 #- odd, omit #, 7 Day : pp. 66-67 #- even, omit #8 Day : pp. 7-7 #- odd Day 4: pp. 7-7 #-4 even Day : pp. 77-79 #- odd, 7 Notes on Assignment: Pages 66-67: General
More informationVertical Asymptotes. We generally see vertical asymptotes in the graph of a function when we divide by zero. For example, in the function
MA 223 Lecture 26 - Behavior Around Vertical Asymptotes Monday, April 9, 208 Objectives: Explore middle behavior around vertical asymptotes. Vertical Asymptotes We generally see vertical asymptotes in
More informationPre-Algebra, Unit 7: Percents Notes
Pre-Algebra, Unit 7: Percents Notes Percents are special fractions whose denominators are 100. The number in front of the percent symbol (%) is the numerator. The denominator is not written, but understood
More informationWhat is Diversification?
Lesson Summary What Is Diversification? teaches students the importance of diversification and helps them diversify their own SMG portfolios. Lesson Objectives Create a diversified portfolio selecting
More information2-6 Rates, Ratios, and Proportions. Warm Up Lesson Presentation Lesson Quiz Holt Algebra 1
2-6 Rates, Ratios, and Proportions Warm Up Lesson Presentation Lesson Quiz 2-6 1 Questions on 2-5 2-6 2 Objectives Write and use ratios, rates, and unit rates. Write and solve proportions. 2-6 3 Vocabulary
More informationMA 162: Finite Mathematics - Chapter 1
MA 162: Finite Mathematics - Chapter 1 Fall 2014 Ray Kremer University of Kentucky Linear Equations Linear equations are usually represented in one of three ways: 1 Slope-intercept form: y = mx + b 2 Point-Slope
More informationThe Zero Product Law. Standards:
Objective: Students will be able to (SWBAT) use complex numbers in polynomial identities and equations, in order to (IOT) solve quadratic equations with real coefficient that have complex solutions. Standards:
More informationChapter 7 BUILD YOUR VOCABULARY
C H A P T E R 7 BUILD YOUR VOCABULARY This is an alphabetical list of new vocabulary terms you will learn in Chapter 7. As you complete the study notes for the chapter, you will see Build Your Vocabulary
More informationExploring Slope. High Ratio Mountain Lesson 11-1 Linear Equations and Slope
Eploring Slope High Ratio Mountain Lesson 11-1 Learning Targets: Understand the concept of slope as the ratio points on a line. between any two Graph proportional relationships; interpret the slope and
More informationCompound Interest. Table of Contents. 1 Mathematics of Finance. 2 Compound Interest. 1 Mathematics of Finance 1. 2 Compound Interest 1
Compound Interest Table of Contents 1 Mathematics of Finance 1 2 Compound Interest 1 3 Compound Interest Computations 3 4 The Effective Rate 5 5 Homework Problems 7 5.1 Instructions......................................
More informationTheory of Consumer Behavior First, we need to define the agents' goals and limitations (if any) in their ability to achieve those goals.
Theory of Consumer Behavior First, we need to define the agents' goals and limitations (if any) in their ability to achieve those goals. We will deal with a particular set of assumptions, but we can modify
More informationDevelopmental Math An Open Program Unit 12 Factoring First Edition
Developmental Math An Open Program Unit 12 Factoring First Edition Lesson 1 Introduction to Factoring TOPICS 12.1.1 Greatest Common Factor 1 Find the greatest common factor (GCF) of monomials. 2 Factor
More information14.1 Fitting Exponential Functions to Data
Name Class Date 14.1 Fitting Eponential Functions to Data Essential Question: What are ways to model data using an eponential function of the form f() = ab? Resource Locker Eplore Identifying Eponential
More informationUnit 9 Notes: Polynomials and Factoring. Unit 9 Calendar: Polynomials and Factoring. Day Date Assignment (Due the next class meeting) Monday Wednesday
Name Period Unit 9 Calendar: Polynomials and Factoring Day Date Assignment (Due the next class meeting) Monday Wednesday 2/26/18 (A) 2/28/18 (B) 9.1 Worksheet Adding, Subtracting Polynomials, Multiplying
More informationChapter 4 Factoring and Quadratic Equations
Chapter 4 Factoring and Quadratic Equations Lesson 1: Factoring by GCF, DOTS, and Case I Lesson : Factoring by Grouping & Case II Lesson 3: Factoring by Sum and Difference of Perfect Cubes Lesson 4: Solving
More informationAlg2A Factoring and Equations Review Packet
1 Factoring using GCF: Take the greatest common factor (GCF) for the numerical coefficient. When choosing the GCF for the variables, if all the terms have a common variable, take the one with the lowest
More informationExpressions and Equations Post Assessment
Name Expressions and Equations Post Assessment Class Date Multiple-Choice Identify the letter of the choice that best completes the statement or answers the question. Bubble in the answer for each question
More information6.1 Introduction to Percents and Conversions to Fractions and Decimals
CHAPTER 6: PERCENTS CHAPTER 6 CONTENTS 6.1 Introduction to Percents 6.2 Solve Percent Problems 6.3 Application Problems 6.4 Financial Literacy 6.5 Circle Graphs 6.1 Introduction to Percents and Conversions
More informationCommon Review of Graphical and Algebraic Methods
Common Review of Graphical and Algebraic Methods The questions in this review are in pairs. An algebraic version followed by a graph version. Each pair has the same answers. However, do them separately
More informationS3 (3.2) N5 Mean & Standard Deviation.notebook October 31, 2014
Daily Practice 29.9.2014 Q1. 60.98 + 22.13-30 Q2. 4-3 x 5 Q3. Factorise 6x - 15-45 Today we will be marking the check-up on percentages and then starting mean and standard deviation. Homework Due! Q4.
More informationUNIT 5 QUADRATIC FUNCTIONS Lesson 2: Creating and Solving Quadratic Equations in One Variable Instruction
Prerequisite Skills This lesson requires the use of the following skills: multiplying polynomials working with complex numbers Introduction 2 b 2 A trinomial of the form x + bx + that can be written as
More informationContents. Solving Real-World Problems with Ratios and Percents Using Proportional Relationships to Solve Multi-Step Problems
Contents New York State Common Core Learning Standards for Mathematics Lesson Computing Unit Rates... Lesson Identifying the Constant of Proportionality... 7.RP. 7.RP..b Lesson Lesson Solving Real-World
More informationLinear Functions I. Sample file. Activity Collection. Featuring the following real-world contexts: by Frank C.
Linear Functions I by Frank C. Wilson Activity Collection Featuring the following real-world contexts: Choosing a Cell Phone Plan - T-Mobile Choosing a Cell Phone Plan - Verizon College Graduates Michigan
More informationExponential Functions
Exponential Functions In this chapter, a will always be a positive number. For any positive number a>0, there is a function f : R (0, ) called an exponential function that is defined as f(x) =a x. For
More informationSimplify a rational expression
EXAMPLE 1 Simplify : Simplify a rational expression x 2 2x 15 x 2 9 x 2 2x 15 x 2 9 (x +3)(x 5) (x +3)(x 3) Factor numerator and denominator. (x +3)(x 5) Divide out common factor. (x +3)(x 3) x 5 x 3 ANSWER
More informationMathematical Interest Theory-Week 1
Mathematical Interest Theory-Week 1 Jonathan Curtis September 2016 Contents 0.1 Introduction.............................. 2 1 Chapter 1: The Growth of Money 3 1.1 Section 1.3: Accumulation and Amount
More informationAlgebra 1 Predicting Patterns & Examining Experiments
We will explicitly define slope-intercept form. We have already examined slope, y- intercepts, and graphing from tables, now we are putting all of that together. This lesson focuses more upon the notation
More informationBudgeting Module. a. True b. False
Budgeting Pretest 1. What is gross monthly pay? a. The monthly pay after taxes are deducted. b. The monthly pay before taxes and insurance are deducted. c. The hourly pay times 2080. 2. What is net monthly
More information(8m 2 5m + 2) - (-10m 2 +7m 6) (8m 2 5m + 2) + (+10m 2-7m + 6)
Adding Polynomials Adding & Subtracting Polynomials (Combining Like Terms) Subtracting Polynomials (if your nd polynomial is inside a set of parentheses). (x 8x + ) + (-x -x 7) FIRST, Identify the like
More informationNAP Mate is a registered trademark of Mighty Minds Educational Systems Pty Ltd. Cairns State High School
NAP Mate is a registered trademark of Mighty Minds Educational Systems Pty Ltd. Cairns State High School Applying a progression of steps to achieve the required answer (ϕ37) CCE Lesson Phi 37 Resource
More informationEXPONENTIAL FUNCTIONS
EXPONENTIAL FUNCTIONS 7.. 7..6 In these sections, students generalize what they have learned about geometric sequences to investigate exponential functions. Students study exponential functions of the
More informationGraphing Equations Chapter Test Review
Graphing Equations Chapter Test Review Part 1: Calculate the slope of the following lines: (Lesson 3) Unit 2: Graphing Equations 2. Find the slope of a line that has a 3. Find the slope of the line that
More informationGo for the Curve! Comparing Linear and Exponential Functions. Lesson 5.1 Assignment
Lesson.1 Assignment Name Date Go for the Curve! Comparing Linear and Exponential Functions 1. Chanise just received a $200 bonus check from her employer. She is going to put it into an account that will
More informationSOLVING EQUATIONS ENGAGE NY PINK PACKET PAGE 18
SOLVING EQUATIONS ENGAGE NY PINK PACKET PAGE 18 INEQUALITIES SPRINT #2 You will have 3 minutes to complete as many problems as possible. As soon as the bomb goes off, submit!!! Winner= Person with the
More informationCH 39 CREATING THE EQUATION OF A LINE
9 CH 9 CREATING THE EQUATION OF A LINE Introduction S ome chapters back we played around with straight lines. We graphed a few, and we learned how to find their intercepts and slopes. Now we re ready to
More informationIntroduction to Earning Interest: APR, APY and Compound Interest
Principal and Interest Example 1 Michael is saving money to buy a car. He takes $8,000 to the bank and opens an annual CD upon which the bank agrees to pay him 2% interest. Principal = 8000 Term = 1 year
More informationName: Algebra & 9.4 Midterm Review Sheet January 2019
Name: Algebra 1 9.3 & 9.4 Midterm Review Sheet January 2019 The Midterm format will include 35 Part I multiple choice questions that will be worth 1 point each, 10 Part II short answer questions that will
More information2. Solve the following inequality and graph your solution on a number line. Show all your work.
1. Solve the following inequality and graph your solution on a number line. Show all your work. 2. Solve the following inequality and graph your solution on a number line. Show all your work. 12 3x 4
More informationWarm Up Lesson Presentation Lesson Quiz. Holt Algebra McDougal 1 Algebra 1
1-4 Warm Up Lesson Presentation Lesson Quiz Holt Algebra McDougal 1 Algebra 1 Warm Up Evaluate each expression. 1. 9 3( 2) 15 2. 3( 5 + 7) 6 3. 4 4. 26 4(7 5) 18 Simplify each expression. 5. 10c + c 11c
More information