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(1 + 3x) = -57

Back

x = 6

Front

Solve: 4(7x + 7) = 140

Back

x = 4

Front

Solve: 6(-5x - 2) = -12

Back

x = 0

Front

Solve: 6(-10 - 6x) = -132

Back

x = 2

Front

Solve: 5(-7 - 7x) = 315

Back

x = -10

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 the parentheses.

Front

How do you isolate the variable in an equation?

Back

To isolate the variable, perform inverse operations to both sides of the equation until the variable is alone.

Front

What does it mean to 'combine like terms'?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions.