Solving Proportional Equations Thursday, October 15, 2015 We are learning to…use proportional reasoning to solve problem situations.

Slides:

Advertisements

Similar presentations

Solving Equations with the Variable on Both Sides Objectives: to solve equations with the variable on both sides.

Advertisements

Solving Two-Step Equations

Equivalent Ratios and Rates

Using Cross Products Lesson 6-4. Cross Products When you have a proportion (two equal ratios), then you have equivalent cross products. Find the cross.

+ Cross Multiplication Objective: We will learn to use cross multiplication to solve a proportion. We will use cross multiplication to check whether two.

Math Journal Unit 3 Day 6: Solving Multi- Step Inequalities Essential Question: How do I solve inequalities that require more than two steps?

2.2 The Multiplication Property of Equality

4 m m – 3 = Apply cross product property 4 6 = (m – 3) (m + 2) 4m + 8 = 6m – 18 Distribute Subtract – 6m − 2m + 8 = − 18 Subtract − 2m = − 26 Divide.

Solving Equations Medina1 With Decimal & Fractions.

Equivalent Forms of Rational Numbers

Solving Equations II Lesson After completing this lesson, you will be able to say: I can solve one-variable equations containing multiplication.

Solving Equations Using Multiplication and Division Algebra 1 Section 3.2a.

 Why use the order of operations?  What types of problems require you to use the order of operations?  Why is it important to complete the step in.

Adding & Subtracting Whole Number and Fractions

Proportional Reasoning Today you will learn to: test if ratios can form a proportion. use cross products. M7.A.2.2.3: Use proportions to determine if two.

Proportions Objectives: 1) solve equations with variables in numerators 2) Solve equations with variables in denominators.

Use the Distributive Property to: 1) simplify expressions 2) Solve equations.

Chapter 2 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 2-1 Solving Linear.

Solving Proportions. 2 ways to solve proportions 1. Equivalent fractions (Old) Cross Products (New)

Chapter 8 – Exponents and Exponential Functions 8.1/8.3 – Multiplication and Division Properties of Exponents.

Chapter 2 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 2-1 Solving Linear.

Rational Equations Section 8-6.

Copyright © Cengage Learning. All rights reserved. Rational Expressions and Equations; Ratio and Proportion 6.

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Addition Property of Equality If A, B, and C are real numbers, then the equations.

Practice 2.2 Solving Two Step Equations.

Prerequisite Skills VOCABULARY CHECK 40 ANSWER What is the least common denominator of and ? Which equation is a direct variation equation,

One step equations Add Subtract Multiply Divide  When we solve an equation, our goal is to isolate our variable by using our inverse operations.  What.

Cross Products and Proportions

Solving Rational Equations

  A ratio is a way to compare two quantities that are measured in the same units by using division  45 : 100 Ratio.

Lesson 11-5 Warm-Up.

Warm Up Solve. 1. x + 5 = 9 2. x – 34 = 72 = x – 39 x = 4 x = 106

2.2 Solving Two- Step Equations. Solving Two Steps Equations 1. Use the Addition or Subtraction Property of Equality to get the term with a variable on.

Solving One Step Equations subtract 3 Adding or subtracting the same number from each side of an equation produces an equivalent equation. Addition.

Solving Equations with Variables on Both Sides. Review O Suppose you want to solve -4m m = -3 What would you do as your first step? Explain.

Warm-up #12 ab 1 3x  1814x  x > 32-5x < x  -3 7x > x < x  -24.

4-6 Solving Equations with Fractions What You’ll Learn ► To solve one – step equations ► To solve two – equations.

Section 8.5 and 8.6 Multiplying and Dividing Radicals/Solving Radical Equations.

Ratios & Proportional Relationships. Ratios Comparison of two numbers by division. Ratios can compare parts of a whole or compare one part to the whole.

Solving a Proportion by “Cross” Multiplying

2-2 Solving One-Step Equations

My Equations Booklet.

Finding Proportions using Cross Multiplication

Connect Ratios and Rates to Multiplication and Division

Chapter 2 Section 2.

Proportions and Percent Equations

Multiplying and Dividing Rational Expressions

Objective Solve equations in one variable that contain more than one operation.

Solving Equations with the Variable on Both Sides

6-3 Solving Systems Using Elimination

Objective The student will be able to:

Lesson 3.1 How do you solve one-step equations using subtraction, addition, division, and multiplication? Solve one-step equations by using inverse operations.

EQ: How do I solve an equation in one variable?

Two-Step Equations CA 5.0.

2-2 Solving One-Step Equations

Objective Solve equations in one variable that contain more than one operation.

Multiplying and Dividing Rational Numbers

Which fraction is the same as ?

A rational expression is a quotient of two polynomials

Exercise Solve and check x – 3 = 5. x = 8 8 – 3 = 5.

Solve equations using multiplication and division.

Objective The student will be able to:

Unit 2B/3A Solving Equations

Solving Equations Using Multiplication and Division

If an equation contains fractions, it may help to multiply both sides of the equation by the least common denominator (LCD) to clear the fractions before.

Finding Proportions using Cross Multiplication

By: Savana Bixler Solving Equations.

Multiplying and Dividing Rational Numbers

Using Cross Products Chapter 3.

Presentation transcript:

Solving Proportional Equations Thursday, October 15, 2015 We are learning to…use proportional reasoning to solve problem situations.

When is using the Equivalent Ratios Method not a good idea? Terri eats 13 grapes in 23 minutes. At this rate how many grapes will she eat in 37 minutes? Solve this proportional reasoning problem using the Equivalent Ratios Method. When might using the equivalent ratios method not be the best way to find the solution to a proportional relationship problem?

Solving Proportional Equations Today we are going to use our equation solving skills to solve proportional relationships. When solving equations: – To eliminate ADDITION we used: – To eliminate SUBTRACTION we used: – To eliminate MULTIPLCATION we used: – To eliminate DIVISION we will use: The goal when solving any equation is to isolate the variable. SUBTRACTION ADDITION DIVISION MULTIPLICAT`ION

How would you isolate the variable for the equation ? (3) CHECK: = 1/3x1/3x 1/3x1/3x 1/3x1/3x 1/3x1/3x 1/3x1/3x 1/3x1/3x x

How would you isolate the variable without creating a drawing? (7) CHECK! Are these equivalent fractions? Use the Distributive Property

How would you isolate the variable without creating a drawing? (4) CHECK! Are these equivalent fractions? Multiply by the Numerator: Divide by the Denominator:

How would you isolate the variable without creating a drawing? (5) Multiply by the Numerator: Divide by the Denominator: How many times does 9 go into 40 without going over? 4 whole times (36), with 4 left over So…