Factoring Algebraic Expressions with the Distributive Property

What is a factor of 12?

• 8

• 7

• 6

• 5

What is the prime factorization of 12?

• 2 x 5

• 3 x 4

• 2 x 3 x 4

• 2 x 2 x 3

How can the expression '2 + 4x' be factored?

• 2(1 + 2x)

• 4(0.5 + x)

• 2 + 4(x)

• 2x(1 + 2)

What does it mean to factor out a number from an expression?

• Divide the expression by the number

• Identify common multiples

• Multiply the expression by the number

• Subtract the number from the expression

In the expression '6x + 30', what common factor can be factored out?

• 15

• 10

• 6

• 5

After factoring out '6' from '6x + 30', what is the resulting expression?

• 30(x + 6)

• 6(x + 6)

• 6(x + 5)

• 5(x + 6)

What does the distributive property allow you to do in algebra?

• Combine like terms

• Factor out common terms

• Graph functions

• Solve equations

Which expression shows the correct use of the distributive property?

• 6(x + 5) = 6x + 30

• 6(x + 5) = 6x + 5

• x(6 + 5) = 6x + 5x

• x(6 + 5) = 6 + 5x

How can '1/2 - 3/2x' be factored by taking out '1/2'?

• 1/2(1 + 3x)

• 1/2(1 - 3x)

• 1/2(2 - 3x)

• 2(1/2 - 3x)

What is the result of factoring 'AX + AY'?

• A(XY)

• X(A + Y)

• A(X + Y)

• AY(AX)