Simplifying Expressions with the Distributive Property

Presentation

•

Mathematics

•

6th - 9th Grade

•

Medium

•

CCSS

6.EE.A.3, 7.EE.A.1

Standards-aligned

Lora Bond

Used 22+ times

FREE Resource

5 Slides • 12 Questions

Simplifying Expressions with the Distributive Property

Distributive Property

uses multiplication with addition or subtraction
you can multiply a sum or difference by another number or term
Example; 6 (x + 3)
$6\cdot x+6\cdot3$
$6x+18$

Examples Continued;

Simplify: 8 (a-b)

8\cdot a-8\cdot b

Answer: 8a-8b

Simplify; -(6n+5)
-1(6n+5)
(-1)6n+(-1)5
Answer: -6n-5

Multiple Choice

Simplify using the Distributive Property:

7(2+y)

7\cdot2+7\cdot y

9+7+y

14+7y

Multiple Choice

Simplify

12(t+4)

What is the first step?

$12\cdot t+4$

$12\cdot t+12\cdot4$

Multiple Choice

Simplify

2(k+8k)

What is the first step?

$2\cdot k+2\cdot8+2\cdot k$

$2\cdot k+2\cdot8k$

Multiple Choice

Now Simplify to the final step;

2(k+8k)

2\cdot k+2\cdot8k

2k+10k

2k+16k

Multiple Choice

Simplify using the Distributive Property

4(a-c)

4-ac

4a-4c

Your turn to practice

complete the practice problems for today in Schoology

Using the Distributive Property & Combine Like Terms

After using the Distributive Property, check to see if they are "Like Terms" that you can combine
Example; 7(x+3+2x)
$7\cdot x+7\cdot3+7\cdot2x$
$7x+21+14x$
Check for like terms; 7x and 14x
Your final answer is; 21x+21

Multiple Choice

Practice Together;
2 (4x+5+3x)
Step 1:

2\cdot4x+2\cdot5+2\cdot3x

Step 2:

8x+10+6x

Step 3: Check for Like Terms, which ones do I combine?

8x, 10

10, 6x

8x, 6x

Poll

How are you feeling right now?

I think I get it!!!

I need more practice

I have no clue, I'm lost!

Multiple Choice

Simplify this Expression;
5 (x+2+3x)
Step 1:

5\cdot x+5\cdot2+5\cdot3x

5x+10+15x

20x+10

10x+13x

Multiple Choice

Simplify The Expression;

2 (4y+4+6y)

8y+8+12y

16y+8

20y+8

Multiple Choice

Simplify The Expression;

2 (3x+5+2x+3)

10x+10+6

6x+10+4x+6

10x+16

Multiple Choice

Simplify The Expression;

4(2x+8)

8x+8

16x

6x+12

Poll

How are you feeling now?

I've got this I am ready to practice on my own!

I am so lost, don't leave me yet Mrs. Bond!

I'm not sure, but I am willing to try some by myself...

Simplifying Expressions with the Distributive Property

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