PA: 13.distributive property equations

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 the equation: -2(x - 3) = 24

Back

x = -9

Front

Solve for x: -(-4x - 12) = 32

Back

x = 5

Front

Solve the equation: 3(3x - 6) = 18

Back

x = 4

Front

Solve for x: 2(x - 4) = 18

Back

x = 13

Front

Solve for x: 8(-x + 7) = -24

Back

x = 10

Front

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

Back

Isolating a 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 first step in solving the equation 3(x + 2) = 15?

Back

The first step is to apply the Distributive Property: 3x + 6 = 15.

Front

How do you check your solution after solving an equation?

Back

You substitute your solution back into the original equation to see if both sides are equal.

Front

What is the solution to the equation 5(x - 1) = 20?

Back

x = 5