Distributive Property

What is the Distributive Property?

• It states that a(b + c) = ab + ac, allowing multiplication of a number by a sum or difference.

• It states that a + b = b + a, showing the commutative property of addition.

• It states that a(b - c) = ab - ac, which is a variation of the distributive property.

• It states that a(b + c) = a + b + c, simplifying the expression.

Simplify: 5(2 - 7n)

• 10 - 30n

• 10 - 35n

• 10 - 25n

• 10 - 40n

If a = 3, simplify: 2(a + 4)

• 10

• 12

• 14

• 16

What is a like term?

• Like terms are terms that have the same variable raised to the same power.

• Like terms are terms that have different variables.

• Like terms are terms that have the same coefficients.

• Like terms are terms that are always positive.

Simplify: 6(1 + 2x) - 4

• 12x + 2

• 6x + 2

• 12x - 4

• 2x + 6

What is the first step in using the Distributive Property?

• To add the terms inside the parentheses together.

• To multiply the term outside the parentheses by each term inside the parentheses.

• To divide the terms inside the parentheses by the term outside.

• To subtract the term outside the parentheses from each term inside.

Which expression is equivalent to 2(4 + 9w)?

• 8 + 18w

• 6 + 18w

• 8 + 9w

• 2 + 18w

What is the difference between an expression and an equation?

• An expression is a combination of numbers and variables with an equality sign, while an equation states that two expressions are not equal.

• An expression is a combination of numbers and variables without an equality sign, while an equation states that two expressions are equal.

• An expression is a single number, while an equation is a combination of numbers and variables.

• An expression can only contain numbers, while an equation can contain both numbers and variables.

If x = 2, simplify: 5(x + 3)

• 20

• 25

• 15

• 30

Simplify: 2(4x - 7)

• 6x - 14

• 8x - 14

• 8x - 12

• 10x - 14