Solving Equations with Distributive Property

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

Solve: 3(x + 5) = 21

Back

x = 2

Front

What is the first step to solve the equation 5(2y - 3) = 25?

Back

Distribute 5 to both terms inside the parentheses: 10y - 15 = 25.

Front

Solve: 4(c + 7) = 20

Back

c = -2

Front

What do you do after distributing in an equation?

Back

Combine like terms and isolate the variable.

Front

Solve: 2(6k - 1) = -38

Back

k = -3

Front

What is the next step after 2(a + 4) = 12?

Back

Distribute to get 2a + 8 = 12.

Front

Solve: 6(b - 4) = 24

Back

b = 8

Front

What is the purpose of the Distributive Property in solving equations?

Back

It simplifies expressions and makes it easier to isolate the variable.

Front

Solve: 4(x + 2) = 16

Back

x = 2