A5A Solve Equations with Distribution

Front

What is the distributive property in mathematics?

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: 96 = -3(4x - 4)

Back

x = -7

Front

Solve: 150 = -6(7 + 8x)

Back

x = -4

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

Solve: 5y + 34 = -2(-7y + 1)

Back

y = 4

Front

What is a variable in an equation?

Back

A variable is a symbol, often a letter, that represents an unknown value in an equation.

Front

What is the first step in solving an equation with distribution?

Back

The first step is to apply the distributive property to eliminate parentheses.

Front

Solve: 5x + 34 = -2(-7x + 1)

Back

x = 4

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.

Front

What does it mean to isolate a variable?

Back

To isolate a variable means to manipulate the equation so that the variable is on one side and all other terms are on the opposite side.