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: -5(1 + 6x) = -65

Back

x = 2

Front

Solve: 6(4x + 3) = -246

Back

x = -11

Front

Solve: -7(8 + x) = -98

Back

x = 6

Front

Solve: -7(1 + 2x) = -7

Back

x = 0

Front

Solve: 4(7x + 7) = 140

Back

x = 4

Front

What is the first step in solving an equation using the Distributive Property?

Back

The first step is to apply the Distributive Property to eliminate parentheses by multiplying the term outside the parentheses with each term inside.

Front

If a = 3 and b = 4, what is 2(a + b)?

Back

2(a + b) = 2(3 + 4) = 14.

Front

What does it mean to isolate the variable in an equation?

Back

Isolating the variable means to manipulate the equation so that the variable is on one side and all other terms are on the opposite side.

Front

What is the solution to the equation 3(x + 2) = 12?

Back

x = 2.