Algebraic Expressions

The Distributive Property

100

3(2x + 2)

6x + 6 

200

2(10x + 1)

20x + 2

300

4(5x - 9)

20x - 36

400

2(7x + 9) - 4x

10x + 18

double

500

4(2 + 4y) + 2(y - 5) 

18y - 2

Simplifying Expressions

100

Combine like terms:

6n + 3n  - 5m + 12 + 9m

4m+9n+12

200

Combine like terms:

8a - 3a + 15b + 9b + 6

5a + 24b + 6

300

Combine like terms:

4x - 3x + 2x + 12 - 19

3x - 7 

400

Combine like terms:

2c - 3d - 4 - 5c + 4d - 18

-3c + d - 22 

500

Combine like terms:

1 + 12m - 19x - 3m + 19x + 12 - 18 - m + x

8m + x - 5

Factor out the GCF

100

Factor the expression ...

(5x - 40) 

5(x - 8)

Double

200

Factor the expression ...

(12x + 14)

2(6x +7) 

300

Factor the expression ...

(20x + 70)

10(2x +7)

400

Factor the expression...

(56x + 42)

14(4x + 3)

500

Factor the expression ...

(18x + 36 + 72)

18(x + 2 + 4)

Order of Operations

100

Evaluate.

2 + 5² - (10 - 8)

25

200

Evaluate.

12/3 + (18/3+10) + 2⁴

36

300

3³ + 4² + 5² - 50 - (36/2)

0 

Triple

400

Factor the expression ...

12/4+10-15/5-12+(3*2)

4

500

Evaluate.

32-4³-(20+16/8)+(2*6)³=

1,674

Evaluating Expressions

100

3x-5

x=2

1

200

x²+8(x-3)

x=5

9

300

2(5x + 4y)

x=6    y=3      

84

400

3c-8f+7

c=10    f=3

13

Swap scores

500

r³-g²-4(x+8)

r=4  g=7  x=-5

3