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 for x: 3(x - 20) = 15

Back

x = 25

Front

Solve for x: 6(3x - 5) - 7x = 25

Back

x = 5

Front

Solve for y: 8(7 - y) = -24

Back

y = 10

Front

Solve for n: -4(8 + 5n) = 8

Back

n = -2

Front

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

Back

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

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 by each term inside.

Front

If 2(x + 3) = 14, what is x?

Back

x = 4

Front

What is the solution to the equation 5(2x - 1) = 15?

Back

x = 2

Front

How do you check if your solution to an equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.