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 + 4) = 21

Back

x = 5

Front

What is the first step to solve the equation 5(y + 2) = 30?

Back

Distribute 5 to both terms inside the parentheses: 5y + 10 = 30.

Front

Solve: 6(2 + x) = 36

Back

x = 6

Front

What do you do after distributing in an equation?

Back

Combine like terms and isolate the variable by performing inverse operations.

Front

Solve: 4(c + 7) = 20

Back

c = -2

Front

What is the next step after 2a + 8 = 12?

Back

Subtract 8 from both sides to isolate the term with the variable.

Front

Solve: -2(b - 3) = -12

Back

b = 3

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: 2(a + 3) = 10

Back

a = 1