Basic Distribution Equations

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 for x: 5(x - 3) = 40

Back

x = 11

Front

Solve for x: 8(x + 1) = 40

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 for x: 1/2(2x + 6) = 80

Back

x = 77

Front

What is the first step to solve the equation -2(x - 4) = 20?

Back

The first step is to distribute -2 to both terms inside the parentheses.

Front

Solve for x: -2(x - 4) = 20

Back

x = -6

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 for x: 2(3x + 6) = 24

Back

x = 2

Front

What is the purpose of checking your solution in an equation?

Back

Checking your solution ensures that the value you found satisfies the original equation.