Expanding and Combining Like Terms with the Distributive Property

Which of the following demonstrates the distributive property correctly?

• 5(x + 2) = 5x + 2

• 2(x + 3) = 2x + 6

• 3(x - 4) = 3x - 4

• 4(x - 1) = 4x - 1

What is the coefficient in the term 7x^2?

• 7

• x

• 2

• 1

Which of the following pairs are like terms?

• 4x and 4y

• 6k and 6k

• 5m and 5m^2

• 3a and 3b

Simplify the expression: 8x^2 + 2x^2

• 10x

• 8x^4

• 6x^2

• 10x^2

What is the simplified form of 5a + 7a?

• 12a

• 2a

• 35a

• 5a^2

Combine the like terms: 3m^2n + 7m^2n

• 10m^2n

• 21m^2n

• 3m^2n

• 10mn

Simplify the expression: 4D + 6a^2 - D + 12a^2

• 18a^2 + D

• 6a^2 + 4D

• 18a^2 + 3D

• 10a^2 + 3D

What is the perimeter of a triangle with sides 3x - 2, 5 - x, and 2x - 5?

• 4x - 2

• 4x + 2

• 3x - 2

• 3x + 2

Simplify the expression: 3y/4 + y/4

• 3y

• y

• 4y

• y/2

What is the simplified form of a + 3a - 4(9 - a)?

• 4a + 36

• 8a + 36

• 8a - 36

• 4a - 36