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: -4(8 + 5n) = 8

Back

n = -2

Front

What is the first step to solve an equation using the Distributive Property?

Back

The first step is to distribute the multiplication across the terms inside the parentheses.

Front

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

Back

x = 5

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

Solve: 3(x - 20) = 15

Back

x = 25

Front

What is the purpose of combining like terms in an equation?

Back

Combining like terms simplifies the equation, making it easier to solve for the variable.

Front

Solve: (2x - 3) / 4 = 9

Back

x = 19.5

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

What is the solution to an equation?

Back

The solution to an equation is the value of the variable that makes the equation true.