Evaluating & Simplifying Expressions

Order of Operations

100

Evaluate the following expression using the order of operations: 

5 + 9 x 3 - 8 ÷ 4

30

200

Evaluate the following expression using the order of operations: 

2(5 + 7 x 3) + 9

61

300

Evaluate the following expression using the order of operations: 

18 - 5(2 + 6) + 3

-19

400

Evaluate the following expression using the order of operations: 

[3+(5 - 8 x 2) - 9 ÷3] + 1

-10

500

Evaluate the following expression using the order of operations: 

[3(2 x 6 -7) - 2(5 + 4 x 2)] + 6(5 - 7)

-23

Distributive Property

100

Simplify the following expression: 

5(x + 3)

5x + 15

200

Simplify the following expression: 

-2(x + 7)

-2x - 14

300

Simplify the following expression: 

-3(x - 12)

-3x + 36

400

Simplify the following expression: 

- (x - 9)

-x + 9

500

Simplify the following expression: 

-2(x - 19)

-2x + 38

Combining Like Terms

100

Simplify the following expression: 

2x + 3y - 6x - y - 4x + 2y

-8x + 4y

200

Simplify the following expression: 

x - 8y + 2x - 5y - 12

3x - 13y - 12

300

Simplify the following expression: 

-8 + 12x - x + 2y + 4

11x + 2y - 4

400

Simplify the following expression: 

6x + y - 9x - 10 + 3y + 2x - 5

-x + 4y - 15

500

Simplify the following expression: 

7w + 10x - 3y + 4x - w + 8x - 2y + 4

22x - 5y + 6w + 4

Simplifying Expressions

100

Simplify the following expression: 

2x + 3x - 18 + 4

5x - 14

200

Simplify the following expression: 

x - 5(x - 1) + 3x + 2 - x + 7

-2x + 14

300

Simplify the following expression: 

2x + 7(x - 2) - 3(x + 5) - 6x + 29

0

400

Simplify the following expression: 

4(x + 3) - 2(x - 8) + 6x - 18x - 27

-10x + 1

500

Simplify the following expression: 

5 - 6(x - 3) + 3(-x + 2) - 4(x + 1) +7x

-6x + 25

Evaluating Expressions

100

Evaluate 15/x + 7 when x = 3

12

200

Evaluate 24/x - 9 when x = 6

-5

300

Evaluate -9(a + 6) when a = 2

-72

400

Evaluate x/3y - 4 when x = 12 and y = 4

-3

500

Evaluate y/5x - z when x = 2 , y = 60 , and z = 4

2