Simplifying Expressions, Distributive Prop, Equations

Simplifying Expressions

100

Simplify this expression by combining like terms:

8 + 2 + y + y + y

3y + 10

200

Simplify this expression by combining like terms:

d x d x 10 x 7 x d

70d³

300

Simplify this expression by combining like terms:

2x + 3x - x + 8

4x + 8

400

Simplify this expression by combining like terms:

m + 6m + 3n - n + 4 + 2

7m + 2n + 6

500

Simplify this expression by combining like terms:

p x p - 3 x 3

p² - 9

Distributive Property

100

Use distributive property to solve:

5(a + b + 6)

5a + 5b + 30

200

Use distributive property to solve:

8(3x + 4y + 7)

24x + 32y + 56

300

Use distributive property to solve:

2(9m + 7n + 12)

18m + 14n + 24

400

Use distributive property to solve:

6(3a + 2b + 8c + 4d + 9)

18a + 12b + 48c + 24d + 54

500

Use distributive property to solve:

4(13x + 11y + 9z)

52x + 44y + 36z

One-Step Equations

100

Solve for the variable:

x + 42 = 135

x = 93

200

Solve for the variable:

6y = 54

y = 9

300

Solve for the variable:

m ÷ 3 = 48

m = 144

400

Solve for the variable:

57 = t - 14

t = 71

500

Solve for the variable: 

72 = 6k

k = 12

Two-Step Equations

100

Solve for the variable:

5x + 4 = 39

5x + 4 = 39

5x = 35

x = 7

200

Solve for the variable:

4x + 17 = 81

4x + 17 = 81

4x = 64

x = 16

300

Solve for the variable:

3x - 8 = 34

3x - 8 = 34

3x = 42

x = 14

400

Solve for the variable:

5x + 32 = 567

5x + 32 = 567

5x = 535

x = 107

500

Solve for the variable:

3(2x + 7) = 63

3(2x + 7) = 63

6x + 21 = 63

6x = 42

x = 7