Algebraic Expressions

The Distributive Property

100

3(–2x + 2)

-6x + 6 

200

–2(x + 1)

-2x - 2

300

–4(–5x + 9)

20x - 36

400

-2(7x-13)

-14x+26

500

3(9 + 4x -12y) +2(2x + 6 - 4y)

16x - 44y + 42

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 + 12 - 5s - 12

2x + 6s

500

Combine like terms:

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

9m - 6 

Order of operations

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
----------------
(14 - 4^2) + 11

-2

Subtracting Expressions

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    12b + 44   if  b= 2

68

500

Evaluate    16x + 2y    if x = -2,  y = 8

-16