1-7 solving equations by multiplying & dividing aim: aim: how can we write and solve equations...

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1-7 Solving Equations by Multiplying & Dividing Aim: How can we write and solve equations using multiplication and division? CCSS: 6.EE.7

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Page 1: 1-7 Solving Equations by Multiplying & Dividing Aim: Aim: How can we write and solve equations using multiplication and division? CCSS: 6.EE.7

1-7 Solving Equations by Multiplying &

DividingAim: How can we write and solve equations

using multiplication and division?

CCSS: 6.EE.7

Page 2: 1-7 Solving Equations by Multiplying & Dividing Aim: Aim: How can we write and solve equations using multiplication and division? CCSS: 6.EE.7

Warm Up

Vocabulary Review:

Inverse operations are operations that ________ each other.

Simplify each expression.

1. 6 ∙ 4

2. -7 ∙ 3

3.

Page 3: 1-7 Solving Equations by Multiplying & Dividing Aim: Aim: How can we write and solve equations using multiplication and division? CCSS: 6.EE.7

The Multiplication Property of Equality

If you multiply each side of an equation by the same number, the two sides remain equal.

Page 4: 1-7 Solving Equations by Multiplying & Dividing Aim: Aim: How can we write and solve equations using multiplication and division? CCSS: 6.EE.7

The Division Property of Equality

If you divide each side of an equation by the same nonzero number, the two sides remain equal.

Page 5: 1-7 Solving Equations by Multiplying & Dividing Aim: Aim: How can we write and solve equations using multiplication and division? CCSS: 6.EE.7

Solving by Multiplying

1. Solve

2. Solve

Page 6: 1-7 Solving Equations by Multiplying & Dividing Aim: Aim: How can we write and solve equations using multiplication and division? CCSS: 6.EE.7

Solving by Dividing

1. Solve

2. Solve

Page 7: 1-7 Solving Equations by Multiplying & Dividing Aim: Aim: How can we write and solve equations using multiplication and division? CCSS: 6.EE.7

More Than One WayOne out of every five people attending a town rock concert came to support the local high school band. The band had 112 supporters. How many people were in the audience?

Daryl’s Method:

I see that 112 supporters equal one out of five audience members. I know there are five groups of 112 people in the audience.

So, there are 5 ∙ 112, or 560 audience members.

Tina’s Method:

I can represent the number of people in the audience as p. The number of supporters is p divided by 5. I can write the equation as and solve for p.

So, there are 560 people in the audience.

Page 8: 1-7 Solving Equations by Multiplying & Dividing Aim: Aim: How can we write and solve equations using multiplication and division? CCSS: 6.EE.7

Think, Turn & Talk1. Vocabulary: When is a value a solution to an equation?

Which property of equality does each equation represent?

2. 3.

4. 4.

Mental Math: For each equation, find whether -5 is a solution.

6. 7. 8.

9. 10. 11.

Page 9: 1-7 Solving Equations by Multiplying & Dividing Aim: Aim: How can we write and solve equations using multiplication and division? CCSS: 6.EE.7

Activity Lab: The Cover-Up Method

1. Solve

2. Solve .

3. Solve

4. Solve

Page 10: 1-7 Solving Equations by Multiplying & Dividing Aim: Aim: How can we write and solve equations using multiplication and division? CCSS: 6.EE.7

Exit Ticket

Solve each equation.