Algebraic Expressions Distributive Property

Simplify the expression 2(3x - 1) + 10.

• 6x + 12

• 6x + 8

• 6x + 9

• 6x - 8

Simplify the Expression: -(2x + 3) - x

• -x + 3

• 3x + 3

• 4x + (-2)

• -3x - 3

Find the difference: (2x + 5) − (x + 4).

• x + 1

• 3x + 9

• −x + 1

• x + 9

Simplify the Expression: -4(x + 6) + 2(x - 2)

• 2x + 28

• 6x - 20

• -2x - 28

• 6x - 28

-3(x + 4) + 6x

• 3x - 4

• 3x + 4

• -3x + 12

• 3x - 12

-3(x - 2) + 8(2x + 1) 

• 13x + 14

• 13x + 2

• 13x - 2 

• 7x + 14

8 + 5(x - 2) 

• 5x - 6 

• 5x + 6

• 5x - 2 

• 5x + 2

Garrick buys 5 loaves of bread and 8 cans of tuna for a picnic. Tanya buys a loaf of bread and 2 cans of tuna. If b represents the cost of a loaf of bread and t represents the cost of a can of tuna, which algebraic expression represents the total cost?

• 10b + 6t

• 5b + 10t

• 6b + 10t

• 6b - 10t

For the summer, Fred buys 3 T-Shirts and 2 pair of shorts. His brother buys 4 T-shirt and a pair of shorts. If t represents the cost of a T-shirt and s represents the cost of a pair of shorts, which algebraic expression represents the total cost?

• 7t + 3s

• 3t + 7s

• 7t + 2s

• 10st

On a shopping trip, Kalia buys 3 barrettes and a headband. Her sister buys 2 barrettes and 2 headbands. If b represents the cost of a barrette and h represents the cost of a headband, which algebraic expressions represents the total cost?

• 3b + 5h

• 5b + 3h

• 5b + 2h

• 8bh