Combining Like Terms and the Distributive Property

What defines a term in algebra?

• A number or variable subtracted

• A number or variable multiplied together

• A number or variable divided

• A number or variable added together

Which of the following are like terms?

• 7xy and xy

• Negative six and ten

• 3x^2 and 2x

• 4x^2y^2 and 3x^2y

How many apples do you have if you combine 2 apples with 2 more apples?

• 4 apples

• 5 apples

• 3 apples

• 2 apples

What is the result of combining 6 apples and 4 pears?

• 6 apples and 4 pears

• 10 pears

• 4 apples and 6 pears

• 10 apples

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

• 11x

• 1x

• 5x

• 2x

What does the distributive property state?

• a(b + c) = ab + ac

• a(b + c) = a + bc

• a(b + c) = a + b + c

• a(b + c) = ab + c

Simplify: -2(3 - x)

• -6 + 2x

• -6 - 2x

• 6 + 2x

• 6 - 2x

What is the result of distributing -4 in -4(2x - 3)?

• -8x - 12

• 8x - 12

• -8x + 12

• 8x + 12

What does FOIL stand for?

• First, Outside, Inside, Last

• First, Outer, Inner, Last

• First, Outer, Inside, Last

• First, Outside, Inner, Last

Simplify using FOIL: (x + 3)(x + 3)

• x^2 + 6x + 9

• x^2 + 3x + 3

• x^2 + 9

• x^2 + 3x + 9