Algebra Lab Test Review

The Distributive Property

100

3(–2x + 2)

-6x + 6 

200

–2(-x -13)

2x +26

300

–4(–5x + 9)

20x - 36

400

-2x(7x-13)-2

-14x²+26x-2

500

5x(2x-10)-9

10x²-50x-9

Simplifying Expressions

100

Combine like terms:

14m  - 11 - 9m + 1

5m -10

200

Combine like terms:

25x - 27x + 9 + 5

-2x + 14

300

Combine like terms:

3r - 1 + 6x + 9r - 3x + 9

12r + 3x + 8

400

Combine like terms:

12x + 11s - 8x -23x² + 12 - 5s -4x² -13

-27x² +4x + 6s -1

500

Combine like terms:

12m - 19x² -1x - 3m + 19x² + 12 - 18 + 2x

9m +1x - 6 

PEMDAS

100

Add the expressions ...

3 + 32 ÷ 8 – 9

-2

200

Add the expressions ...

12 ÷ 2 × 6 + 4 – 3

37

300

Add the expressions ...

36 – 10 × 2 ÷ 5 – 11

21

400

Add the expressions ...

8 + 9 – 2 × 3

11

500

Add the expressions ...

4 + 8 – 5 × 6

-18

Distribution & Combining Like Terms

100

Subtract the expressions ...

-5x + 4 - (-3x - 2)

-2x+6

200

Subtract the expressions ...

(10x - 2) - (-3x + 15)

13x + (-17)

300

Subtract the expressions ...

20x - (-3x + 12)

23x - 12 

400

Subtract the expressions ... 

(-4x - 9) - (1x + 6)

-5x -15

500

Subtract the expressions ...

-8 - x - (-4 - 3x)

-4 + 2x  or  2x - 4  

Evaluating Expressions

100

Evaluate 4(y-5) 

if y=9

16

200

Evaluate  5 + (t ⋅ n) 

if t = 2  n = -4

-3

300

Evaluate  7(x+3)     if x = 6  

63

400

Evaluate 

 1/2xy² 

when x=4 y=-2

2

500

Evaluate  

-3x²y+4x

When x=-4 y=2

-112