NOTES: Equations w/Distributive Property Lesson Slides

12 Slides • 10 Questions

1

Solving Equations with Distribution

Algebra 1

Ms. Rico

2

Fill in the Blanks

WARM-UP:

Solve $24=15-3x$

Type answer...

3

Distributive Property

The Distributive Property means to multiply the number outside the parentheses with each number inside the parentheses. Then simplify and solve.
Distirbute means to multiply. One way to remember distributive property is to think about a "Rainbow" or multiply the outside number with each number on the inside.

4

Example 1

5

Example 2

6

Example 3

7

Example 4

Example 5

8

Multiple Choice

Use the distributive Property. Which is the correct answer?

$2\left(x+3\right)$

1

$2x+3$

2

$2x+6$

3

$2x+5$

9

Multiple Choice

Use the distributive Property. Which is the correct answer?

$-4\left(-4x-5\right)$

1

$-16x+20$

2

$16+20$

3

$16x+20$

4

$16x-20$

10

Multiple Choice

Use the distributive Property. Which is the correct answer?

$-\left(x-8\right)$

1

$-x-8$

2

$-x+8$

3

$x+8$

11

Steps for Solving Two-Step equations with Distribution

Step 1: Distribute

Step 2: Use inverse operations to Add or Subtract

Step 3: Use inverse operations to Multiply or Divide

Step 4: Variable should be by itself. Woo Hoo!!!

12

Example 6

13

Example 7

14

Fill in the Blanks

Use the distributive Property. What is the value of x?

$2\left(x+2\right)=26$

Type answer...

15

Fill in the Blanks

Solve for x.

$24=4\left(x+2\right)$

Type answer...

16

Example 8

17

Example 9

18

Fill in the Blanks

Solve for x.

$-3\left(7x-5\right)=99$

Type answer...

19

Fill in the Blanks

Solve for x.

$-10=-5\left(-4x+1\right)$

Type answer...

20

Fill in the Blanks

Solve for x.

$-5\left(7x-9\right)-6=144$

Type answer...

21

Example 10

22

Fill in the Blanks

Solve for x.

$-\left(5x-8\right)=-22$

Type answer...

Solving Equations with Distribution

Algebra 1

Ms. Rico

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