Numerical and Algebraic Expressions Review

• 9d + 15

• 14d + 8

• 14d + 56

• 2 (7d + 15)

• 2 (15 + 12)

• 8 (4 + 3)

• 4 (8 + 6)

• 12 (3 + 2)

Which of the following correctly shows the associative property of addition?

• a + b = b + a

• a + (b + c) = (a + b) + c

• a + 0 = a

• a(b + c) = ab + ac

• 12x + 4

• 36x + 8

• 4x + 16

• 4x + 8

Brandon rode his bike at y miles per hour. Allison rode her bike at half the rate of speed that Brandon rode. Which expressions represents the rate of speed at which Allison rode?

• 1/2 + y

• y - 1/2

• 2y

• y/2

The Pizza Buffet chargers $12.25 per person. Let p represent the total number of people eating lunch at Pizza Buffet. Which expression could be used to find the cost of lunch for an entire group?

• 12.25 + p

• 12.25 / p

• 12.25 - p

• 12.25p

Emma baked 8 cakes and Tana baked 6 cakes. Each girl found a strategy for finding the number of cakes they had together. Emma used 8 + 6. Tana used 6 + 8. Which statement is true about the strategies the girls used?

• Only Emma is correct because of the zero property.

• Only Tana is correct because of the identity property of addition.

• Both Emma and Tana are correct because of the commutative property of addition.

• Neither Emma nor Tana is correct because of the associative property of addition.

Select all expressions equivalent to 36 + 30k using the distributive property.

• 6 (6 + 5x)

• 3 (12 + 10k)

• 5 (7 + 6k)

• 2 (18 + 15k)