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Distributive Property
Factoring
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100

3x - x + 5

2x + 5

100

3(x + 4)

3x + 12

100

4x + 8

4(x + 2)

100

“Twice the sum of x and 5”

2(x + 5)

100

How many terms are in this expression?

2k + 3 + 5t - 3d

4

200

2a + 4b - 5a

 -3a + 4b

200

–5(2x – 3)

–10x + 15

200

6y – 9

3(2y – 3)

200

Linda’s expression: 2a + 10b - c
James’s expression: -3a + 5b + c

What is the sum of the two expressions?


-a + 15b

200

“A number n is multiplied by 4, then 3 is subtracted”

4n – 3

300

7m – 3n + 2m + n

9m – 2n

300

3( -2x + 3y +4)

-6x + 9y + 12

300

12x + 18y

6(2x + 3y)

300

Cheryl and her family are vacationing at Gulf Shores resort. The cost, in dollars, to rent a beach chair for x hours, is represented by 3x + 5. The cost to rent a beach umbrella for x hours is represented by 9x - 3.

What is the difference of the two prices?

-6 + 8

300

2(3x + 1) + 4x

 10x + 2

400

( 10x + 3) + (-4 - 4x)

-1 + 6x

400

4(2x – 5) + 3(x + 1)

 11x – 17

400

15a – 10b + 5

 5(3a – 2b + 1)

400

Mr. Johnathan needs to make a rectangular pen so his fish can run around outside without worrying about it running into the road. He needs to know how much fencing he going to need to buy. The length is 2j + 5 feet long, and the width is 3j - 3 feet wide. What is the perimeter of for his pen?

10j + 4

400

Simplify & factor: 6x + 5 + 4

3(2x + 3)

500

–2y + 3x – y – 5x + 6

–3y – 2x + 6

500

0.5( 10x - 24) + 3

5x + 9

500

–8x + 12

–4(2x – 3)

500

if t represents a positive integer, which expression will give me the biggest answer?

-3t + 10

-2t - 4

-5t - 10

-3t +10

500

3(x + 2) – 2(x – 1)

x + 8

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