8th Grade Algebra Review

Distributive Property

100

5(x + 6)

5x + 30

200

3(2y - 7)

6y - 21

300

4(3s + 5t - 10)

12s + 20t - 40

400

d(3 - d + 5e)

3d - d² + 5de

500

Factor (un-distribute): 18n - 12m + 27

GCF: 3 

3(6n - 4m + 9)

Integer Operations

100

(-4)(5)

-20

200

(-6)(-7)

42

300

6 ÷ (-3) + (-1)

-3

400

-4 - (-7)

3

500

4 - (-20 ÷ -10)²

0

Combining Like Terms

100

3b + 4b

7b

200

5n + 3c - n

4n + 3c

300

7 + 6g - 4h + 1 - 2g

8 + 4g - 4h

Also = 4(2 + g - h)

400

13w - 9x + 6(2-3w)

-5w - 9x + 12

500

3j² + 8k - 2j + 4(k-j)

3j² + 12k - 6j

Also =3(j² + 4k - 2j)

Solving Two+ Step Equations

100

1 + 2r = 11

r=5

200

42 = 8m - 6

m=6

300

^g/₇ + 2 = 12

g=70

400

4(x-3) = 20

x=8

500

19 = 3(3x−6) + 1

x=4

Writing Equations

100

Lucas is 13, which is 3 years younger than his brother.

b - 3 = 13 (Let b=Lucas's brother's age)

200

Chloe spent a total of $17.50 buying Celsius for all of her friends. They cost $3.50 each.

17.50=3.50f (Let f = number of friends)

300

Emari opened a bag of Skittles and counted 56 Skittles. He kept 11 for himself and then shared the rest equally with 3 friends.

56 = 11 + 3s (Let s = number of Skittles each friend got)

400

NY Liberty scored 76 points in the playoffs last weekend. Six points were from free throws, and the rest were either 2-point or 3-point shots.

2x + 3y + 6 = 76 (let x=number of 2 point shots, let y = number of 3 point shots)

500

Tai has change in his pocket totaling $2.75. Write an equation that shows how many quarters, dimes, nickels, and pennies Tai could have.

0.25q+0.10d+0.05n+0.01p = 2.75