Writing, Evaluating, & Simplifying Expressions

Order of Operations

100

Evaluate: 5 + 9 x 3 - 8 ÷ 4

30

200

Evaluate: 2(5² + 7 x 3) + 9

101

300

Evaluate: 18 + 5(2 + 6) - 3²

49

400

Evaluate: [3+(5 + 8 x 2) - 9 ÷3] + 1

22

500

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

27

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: 2(x - 9) + 9

2x + 9

500

Simplify the following expression: 10 + 2(x + 19)

2x + 48

Combining Like Terms

100

Simplify the following expression: 2x + 3y - 6x - y - 4x + 2y

-8x + 5y

200

Simplify the following expression: x + 8y + 2x - 5y - 12

3x - 3y - 12

300

Simplify the following expression: 8 + 12x - x + 2y + 4

11x + 2y +12

400

Simplify the following expression: 6x + y + 9x + 10 + 3y + 2x - 5

17x + 4y + 5

500

Simplify the following expression: 7w + 10x + 3y + 4x - w+ 8x - 2y +4

22x + 6w + y + 4

Simplifying Expressions

100

Simplify the following expression: 2x + 3(x + 6) + 4

5x + 14

200

Simplify the following expression: x + 5(x + 1) + 3x +2 - x + 7

8x + 14

300

Simplify the following expression: 2x + 7(x + 2) - 3(x + 5) + 6x - 2

12x + 27

400

Simplify the following expression: 4(x + 3) + 2(x - 8) 

10x + 28

500

Simplify the following expression: 

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

20x + 30

Evaluating Expressions

100

Evaluate 15 ÷ x + 7 when x = 3

12

200

Evaluate 24 ÷ x + 9 when x = 6

13

300

Evaluate 9(a + 6) when a = 2

72

400

Evaluate x ÷ 3y  when x = 12 and y = 4

1

500

Evaluate y ÷ (5x) - z when x = 2 , y = 60 , and z = 4

2