Solving Equations using 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(2x + 5) = 39

Back

x = 4

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 other side.

Front

Solve: -2(5 + 6m) + 16 = -90

Back

m = 8

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

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

Back

n = -2

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It has no variables raised to a power greater than one.

Front

Solve: 11 = 7w - 3(4w + 8)

Back

w = -7

Front

What is the purpose of checking your solution after solving an equation?

Back

Checking your solution ensures that the value you found satisfies the original equation, confirming its accuracy.

Front

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

Back

k = -3