Simplifying
Distributing
Factoring
Solving Equations
Word Problems
100

4x + 5x

9x

100

3(x + 4)

3x + 12
100

Factoring means to ______ the distributive property

Undo

100

x + 7 = 12

x = 5

100

Write a simplified expression for the perimeter of this shape

6x - 2

200

3a + 8 - 4a + 2

-a + 10

200

5(2y + 3 - x)

10y + 15 - 5x

200

What is the GCF of the terms 18x - 9?

9

200

4y + 3 = 19

y = 4

200

Ms. Fredrick purchased a bottled water for $1.25 and 6 doughnuts. The total cost was $6.90. Write an equation to determine the cost of a doughnut.

1.25 + 6d = 6.90

300

5m - 2(9m + 4)

-13m - 8

300

-4(3k - 2)

-12k + 8

300

Factor 12m + 18

6(2m + 3)

300

-3(n - 4) =15

n = -1 

300

During a film festival, the first film ticket is priced at $16, and each additional ticket is $11. If Rico spends $71, then how many film tickets did he purchase?

5 tickets

400

2.4k + 1.8 - 0.9k

1.5k + 1.8

400

0.4(5x - 3)

2x - 1.2

400

Factor -8p - 24

8(-p - 3) OR -8(p + 3)

400

0.5p - 1.3 = 2.7

p = 8

400

Asher's sister is eight years older than Asher. Their combined ages add up to 30. How old is Asher?

11 years old

500

0.5x + 3/4x - 1.2

1.25x - 1.2

500

-0.5(2/5x - 8)

-0.2x + 4

500

Factor -10x + 75 + 100y

5(-2x + 15 + 20y) OR -5(2x - 15 - 20y)

500

0.5x - 1/4 = 2.25

x = 5

500

Five sisters each bought matching scarves and two pairs of socks. The scarves were priced at $12.00. If the total bill for all 5 sisters was $125.00, what was the price of one pair of socks?

$6.50