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.

Slides:

Advertisements

Similar presentations

Solving Fraction Equations by Multiplying

Advertisements

3-6 Solve Proportions Using Cross Products

4-1 Ratios & Proportions.

Proportions  A proportion is an equation with a ratio on each side. It is a statement that two ratios are equal.  3 = 6 is an example of a proportion.

Can we go on! You have 5 minutes to complete check-up.

Solving Multiplication and Division Equations Lesson 2-7.

EXAMPLE 2 Using the Cross Products Property = 40.8 m Write original proportion. Cross products property Multiply. 6.8m 6.8 = Divide.

Introduction to Proportions & Using Cross Products Lesson 6-3 & 6-4.

Can we go on! You have 5 minutes to complete check-up.

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

How do I solve a proportion?

Finding a Percent of a Number Lesson 6-7. Using a Proportion Set up a proportion that uses the percent over 100. Cross multiply to write an equation.

Equivalent Forms of Rational Numbers

Write and Solve Proportions Lesson Ten boys and 15 girls ran a mile under seven minutes in P.E. a)Write the ratio of boys to girls who ran a mile.

1 Math Solving Proportions. 2 Vocabulary ► Proportion—an equation that shows that two ratios are equivalent. ► Cross Product—the product of the numerator.

Objective Students will solve proportions Chapter 8, lesson 2 (8-2).

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

Lesson 1.1 Objective: To solve equations using addition, subtraction, multiplication, and division Are operations that undo each other such as addition.

Ratio, Rate, Proportion, and Percent. Ratio  Comparison of two numbers by division  Can be written three different ways 4 to 9 4 :

SECTION 2 MULTIPLYING AND DIVIDING RATIONAL FUNCTIONS CHAPTER 5.

Proportions Mrs. Hilton’s Class. Proportions What are proportions? - If two ratios are equal, they form a proportion. Proportions can be used in geometry.

When two pairs of numbers such as (3, 2 and 6, 4) have the same ratio, we say that they are proportional. The equation states that the pairs 3, 2 and 6,

Transparency 3 Click the mouse button or press the Space Bar to display the answers.

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

1. What Are You Learning? I CAN solve proportions. 2.

Solving Percent Problems Using Proportions

Chapter 9: Lesson 4: Solving Percent Problems with Proportions

Chapter 10: Lesson 4: Solving Percent Problems with Proportions

7-3 Solving Proportions (p ) Indicator  m4.

Rational Equations Section 8-6.

Practice 2.2 Solving Two Step Equations.

Direct Variation Equation for direct variation:. Page 6 Steps: 1.Set up a proportion 2.Cross multiply and solve for variable Since x varies directly as.

Cross Products and Proportions

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

Solving Addition and Subtraction Equations Lesson 2.3 and 2.4.

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.

Holt Algebra Percents 2-8 Percents Holt Algebra 1 Lesson Quiz Lesson Quiz Lesson Presentation Lesson Presentation Warm Up Warm Up.

1) Solve. -5t = 60 To get the variable by itself, which number needs to be moved? -5 To move the -5, you have to do the opposite operation. What operation.

Finding a Percent of a Number

Lesson 3.2 Solving Equations with Multiplication and Division

Finding Proportions using Cross Multiplication

Solving Addition and Subtraction Equations

Click the mouse button or press the Space Bar to display the answers.

A proportion is an equation that states two ratios are equal

6.3 Solving Proportions Using Cross Products

Finding a Percent of a Number

Lesson 5.2 Proportions Students will be able use cross multiply to determine if the two ratios are equivalent.

Section 5.3A Solving Proportions Section 5.3A Solving Proportions

Solving One-Step Equations

Lesson 6.1 How do you find ratios and unit rates?

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

Finding a Percent of a Number

Finding a Percent of a Number

How do you use proportions to find unknown values?

Solving Equations Finding Your Balance

Multiplying and Dividing Rational Numbers

Which fraction is the same as ?

Solving Equations with Variables on Both Sides

Solving Equations with Variables on Both Sides

How do I solve a proportion?

Lesson 1.1 Objective: To solve equations using addition, subtraction, multiplication, and division Vocab: Inverse operations: Are operations that undo.

Equations …. are mathematical sentences stating that two expressions are equivalent.

Lesson 6 Ratio’s and Proportions

Understanding Proportions

Finding Proportions using Cross Multiplication

Objective: Learn to use a table to find equivalent ratios and rates.

Multiplying and Dividing Rational Numbers

Using Cross Products Chapter 3.

Presentation transcript:

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 product by multiplying the denominator of each ratio by the numerator of the other ratio.

Example: Do the ratios form a proportion? Check using cross products. 4 12, x 3 = 36 9 x 4 = 36 These two ratios DO form a proportion because their cross products are the same.

Example 2 5 8, x 2 = 16 3 x 5 = 15 No, these two ratios DO NOT form a proportion, because their cross products are different.

Solving a Proportion Using Cross Products Use the cross products to create an equation. Solve the equation for the variable using the inverse operation.

Example: Solve the Proportion k 17 = Start with the variable. = 68k17(20) Simplify. 68k=340 Now we have an equation. To get the k by itself, divide both sides by k = 5

Homework Time