Meaning of Equations and Inequalities.  Today’s standard: CCSS.MATH.CONTENT.7.EE.B.4  Use variables to represent quantities in a real-world or mathematical.

Slides:

Advertisements

Similar presentations

Word Problems with Inequalities

Advertisements

21 st Century Lessons Writing Inequality Statements for Real World Scenarios 1.

Linear Functions 7.EE.4b Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities.

What’s slope got to do with it?

Unit 2: Solving Systems of Equations

LESSON 9: Representing Proportional Relationships with Equations

7th Grade Math Week of 11/3/14 Information from :

Algebra1 Writing Functions

From Rates to Ratios Lesson

Warm-up Jim makes $5.75 an hour. Each week, 26% of his total pay is deducted for taxes. Write an expression for the amount Jim has after taxes. 5.75h -

Introduction Inequalities are similar to equations in that they are mathematical sentences. They are different in that they are not equal all the time.

Writing Inequality Statements for Real World Scenarios 1.

Subtracting Integers. Warm Up 1.8 – 11 =6. -3 – (-5) = 2.15 – 21 = – 1 = 3.0 – (-15) =8. 1 – (-18) = 4.15 – 1 =9. -3 – (-45) = 5.19 – (-19) =10.

TOPIC 2 FOUNDATIONS OF ALGEBRAIC PROBLEM SOLVING

Algebra1 Writing Functions

Chapter Writing Functions.

Writing Two-Step Equations

Bicycle Budget Problem

The Study of Money Simple Interest For most of your financial plans, throughout your life, there will be two groups involved. The Bank The Individual.

Formulas and Literal Equations Unit 4, Lesson 6. Literal Equation A literal equation is __________________ _____________________________________ _____________________________________.

1.6 “Solving Linear Inequalities” 3.13 ˂ -3y + 4.

Warm-up – Separate piece of paper…turning in today!

Writing Equations and Inequalities When appropriate, make sure to answer in complete sentences.

7 th Grade Math Week of 9/2/14. Monday: No School.

Welcome to Interactive Chalkboard Pre-Algebra Interactive Chalkboard Copyright © by The McGraw-Hill Companies, Inc. Send all inquiries to: GLENCOE DIVISION.

Algebra TEXAS StyleA2warmup2 Algebra 2 Warm-up 2.

Jasem will buy a computer game for his brother that costs 250 AED. He has 70AED in his bank account. How much more money does Jasem need ? 1)Write an equation.

7 th grade math Unit 3 lesson 6 Solving inequalities and graphing your solution on a number line. Demonstrating Mastery.

7 th Grade Math Week of 11/3/14 Information from :

7 th Grade Math Week of 11/3/14 Information from :

GRAPHING DATA. 6.EE.9 Use variables to represent two quantities in a real- world problem that change in relationship to one another; write an equation.

1.1 Solving Equations. Today’s Learning Targets I will be abe to apply inverse opertions to isolate a variable solve multi-step equations in an algebraic.

LET’S PLAY ALGEBRA JEOPARDY!! Created by Martin Boonstra May, 2008.

PERCENT INCREASES. NS 1.4 Calculate given percentages of quantities and solve problems involving discounts at sales, interests earned, and tips. Today’s.

Solving Inequalities #35. Vocabulary An inequality is a statement that two quantities are not equal. The quantities are compared by using one of the following.

SOLVE THE FOLLOWING INEQUALITIES AND GRAPH THEM. SHOW ALL WORK. Solving and Graphing Inequalities.

Review Advanced Algebra 1.

Today’s Targets Translate verbal phrases and sentences into expressions, equations or inequalities Identify the meaning of the parts of an.

EXAMPLE 4 Standardized Test Practice

Formula for Slope Investigate and solve real-world problems that involve the slope of a line Learn how to calculate slopes with slope triangles and the.

SAT Problem Of the Day. Do Now Do Now 4.4 Solving Systems with Matrix Equations 4.4 Solving Systems with Matrix Equations Objectives: Use matrices to.

Solving Two-Step Equations #34. Example 1 Solve each equation.   x = 30.

Splash Screen Chapter 3 Algebra: Use Addition and Subtraction Click the mouse or press the space bar to continue. Chapter 3 Algebra: Use Addition and Subtraction.

One-Step Equations with Rational Coefficients

AGENDA WARM-UP HOMEWORK QUESTIONS?? LESSON 12 CORRECTIONS LESSON 14 EXIT CARD.

Lesson 2.1 Today’s Targets Interpret parts of an expression: such as terms, factors, and coefficients Explain the meaning of each term of an algebraic.

Multi-Step Equations & Inequalities 1. Explain the difference between a constant term and the coefficient of a variable. Give examples!

Basketball Review Game 1)Row Groups 2)One member from each group will use the whiteboard to answer the question, while the rest of your teammates solve.

Unit 2 – Day 6 Rearrange a multivariable equation to highlight a variable. Make sense of problems and persevere in solving them. Attend to precision. U2D6.

x ˂ −5 Write an Inequality 0 −3 ≤ x ≤ 2 47 = b − 126 b = 173.

Writing a Function Rule Read the problem What are you looking for? Define the variables Pick the letters What do they stand for? Write the equation Solve.

Chapter 1 Review Game Ms. LaPorte Algebra Honors.

LESSON How can you solve an inequality involving addition or subtraction? Addition and Subtraction Inequalities 13.2.

7.EE.4 Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems.

Name: ____________________________ Date: ____________ Section: _____ Inequalities in Word Problems Equations: __________________________________________.

6.RP.3 Understand ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams,

Equations and Expressions with Integers SWBAT evaluate algebraic expressions involving integers; solve equations using integers.

Review for Test. Question #1  Jillian can spend at most $135 at the movies. She wants to buy 3 boxes of popcorn and 2 boxes of candy to share with her.

Equations and Inequalities. Unit 8 – Solving Inequalities.

1.4 Proportional and Non proportional Relationships

6-7 Solving inequalities by Multiplication or division

Introduction Inequalities are similar to equations in that they are mathematical sentences. They are different in that they are not equal all the time.

Lesson 9: Constraints.

Modeling with Functions

You need: Pencil Agenda Scrap Paper AP log

Bellringer Which is more desirable equations or expressions

Write an algebraic or numerical expression

Bellringer The sum of eight and six. 2

Agenda Ticket in the Door Review of ticket in the Door

For the given relation: (1, 4), (3, 7) (5, 11), (7, 11)

Presentation transcript:

Meaning of Equations and Inequalities

 Today’s standard: CCSS.MATH.CONTENT.7.EE.B.4  Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.  Students should answer at least 75% of questions correctly on an exit ticket.

 Being able to solve equations and inequalities is meaningless unless we understand what the answer represents. Knowing “x = 5” is not useful but knowing “There are 5 apples” or “It takes 5 hours to earn a certain amount of money” is useful.  Today, we will work with word problems and not only come up with a numerical answer but also state what it means.

Bob has $300 in his bank account and adds $25 more each month. This situation can be represented by the equation m = A What do m and A represent in this equation? m = number of months A = amount of money in Bob’s bank account

From last slide: m = A Solve m = m = 400 ÷25 ÷25 m = 16 Write in a complete sentence what your answer means. Hint: look back at what each variable represents. In 16 months Bob will have $700 in his bank account. (Here, A was replaced by 700, so the bank account must be $700. We found m was 16 so there were 16 months).

The temperature is -40°. Every hour the temperature rises by 8°. t = 8h – 40 What do t and h represent in this equation? t = temperature h = # of hours I want the temperature to be 16°. Use the equation to solve for h. 16 = 8h – = 8h ÷8 ÷8 7 = h Write a complete sentence explaining what your answer means. In 7 hours the temperature will be 16°.

A taxi charges a $10 entry fee and $2 per mile driven. Write an equation for this situation using two variables of your choice. State what each variable stands for. c = 2m + 10 c = total cost m = # of miles Use your equation to find the cost of a 17 mile trip. c = 2(17) + 10 c = c = 44

 Bob wants to buy a $37 game. He has $9 and earns $5 more for each newspaper route.  Write an inequality that describes this situation. State what your variable stands for.  9 + 5r > 37 r = # of newspaper routes  Solve the inequality  9 + 5r > r > 28 ÷5 ÷5 r > 5.6  Explain in a sentence what your answer states.  Bob must do at least 6 newspaper routes to be able to afford the game.

 Amy can spend up to $20 at the store. She needs to buy a $4.50 loaf of bread and then as much $0.50 candy as she wants.  Write an inequality for this situation and state what your variable stands for. Then solve it.  0.50c < c = # of candy  c < ÷0.50 ÷0.50 c < 31  Explain in a sentence what your answer means.  Amy can buy up to 31 pieces of candy.