Distributive Property

What does the distributive property allow you to do with a factor and a group of terms?

• Multiply the factor by the entire group as a whole.

• Distribute the factor to be multiplied by each member of the group individually.

• Divide the factor by each member of the group individually.

• Add the factor to each member of the group individually.

Why is the distributive property often the only option for simplifying expressions in algebra?

• Algebraic expressions always contain only known numbers.

• Algebraic expressions cannot be simplified at all without it.

• Algebraic expressions often contain unknown values or variables that prevent simplifying the group first.

• The distributive property is not used in arithmetic.

The distributive property applies to group members that are being combined by which operations?

• Addition and multiplication.

• Subtraction and division.

• Addition and subtraction.

• Multiplication and division.

What is the distributed form of the expression 5(a + b - c)?

• 5a + 5b - c

• 5a + b - 5c

• 5a + 5b - 5c

• a + b - c + 5

What is the equivalent form of the expression 2(x + y) after applying the distributive property?

• 2x + y

• x + 2y

• 2x + 2y

• 2xy

When applying the distributive property to 2(3x + 5y), what is the simplified equivalent form?

• 6x + 5y

• 3x + 10y

• 6x + 10y

• 30xy

How many terms are in the polynomial (x^2 + 3x - 5) to which the factor 4 would be distributed?

• One

• Two

• Three

• Four

What is the result of distributing x to the polynomial (x^2 - 8x + 2)?

• x^2 - 8x + 2x

• x^3 - 8x^2 + 2x

• x^3 - 8x + 2

• x^3 - 8x^2 + 2