Algebraic Expressions and Distributive Properties

Write the phrase as an expression:
the sum of 7 and the product of a number x and 12

• 7x + 12

• 7x + 12x

• 7 + 12x

• 7 + 12 * x

Zach's basketball team scored 4 fewer than twice as many points (p) as Ryan's team. Write an expression for the number of points Zach's team scored.

• 2 * 4 * p

• 4p - 2

• 2p + 4

• 2p - 4

Simplify the expression and which property you used:
(x + 18) + 4

• x + 22, Assoc. Prop of Addition

• x + 22 Comm. Prop of Multiplication

• x + 22, Comm. Prop of Addition

• x + 22, Identity Property

Simplify the expression:
t + 2 + 6t

• 16t

• 8t

• 7t + 2

• 2t + 6t

Simplify the expression:
3z + 4 + 5z - 9

• 15z -5

• 8z - 5

• 8z + 13

• 20z - 27z

Factor the expression using the GCF:
36x - 28

• (9x * 4x) - (4 * 7)

• 12(3x - 28)

• 2(18x - 14)

• 4(9x - 7)

Factor the expression using the GCF:
16x + 56y

• 8(2x + 7y)

• 4(4x + 17y)

• 16 * x + 56 * y

• 16(x + y) * 56

Harmony make party favors for an event. She ties 9 inches of ribbon around each party favor. Write an expression for the amount of ribbon she need for n party favors.

• 9 + n

• 9n

• 9 - n

• 9n + 2

In this soccer season, Emme has scored 1 more than twice the number of Colin's goals.  If Emme has scored 15 goals, which equation can be used to find x, the number of Colin's goals?

• x - 15 = 1

• x + 1 = 15

• 2x + 1 = 15

• x + 1 = x + 15

David has 5 boxes of golf balls. Each box contains y golf balls. Shaina gave him another 8 golf balls. 
How many golf balls does David have?

• 8

• 40

• 5y + 8

• 8y + 5