Combining Like Terms with the Distributive Property

What is the simplified form of the expression 5x + 8 + 7x?

• 5x + 15

• 12x + 8

• 20x + 8

• 12x

In the expression 9x + 7 - 5x + 4, what are the like terms?

• 9x and 7

• 7 and 4x

• 9x and 5x

• 7 and 5x

What is the simplified form of 3y - 6x + 8y + 3x?

• 3y - 3x

• 11y - 3x

• 11y - 9x

• 11y + 3x

Which of the following expressions is equivalent to 5x + 4x^2 + 7 - 3x - 9 + 8x^2?

• 12x^2 + 2x - 16

• 12x^2 - 2x - 2

• 12x^2 + 2x + 2

• 12x^2 + 2x - 2

In the expression 3xy + 4x^2y + 5xy - 6x^2y + 9x, which terms are like terms?

• 4x^2y and 9x

• 5xy and 9x

• 3xy and 5xy

• 3xy and 4x^2y

What is the simplified form of 4(3x + 5) - 7x?

• 12x + 20 - 7x

• 5x + 20

• 12x + 5

• 5x + 12

What is the result of applying the distributive property to 5(2y + 3) - 3(4y - 8)?

• 10y + 15 - 12y + 24

• 10y + 15 - 12y - 24

• 10y + 15 + 12y - 24

• 10y + 15 + 12y + 24

What is the coefficient of x in the simplified form of 4(3x + 5) - 7x?

• 5

• 20

• 12

• 7

Simplify the expression 4(x^2 + 3x - 5) - 5(2x^2 - 4x + 7).

• -6x^2 - 32x - 55

• -6x^2 + 32x + 55

• 6x^2 + 32x - 55

• -6x^2 + 32x - 55

What is the simplified form of 3(x^3 + 5x - 8) - 7(x^2 - 6x + 4)?

• 3x^3 + 7x^2 + 57x - 52

• 3x^3 - 7x^2 - 57x - 52

• 3x^3 - 7x^2 + 57x + 52

• 3x^3 - 7x^2 + 57x - 52