Equations and Distributive Property Flashcard

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 the equation using the distributive property: 5(x + 2) = 25

Back

x = 5

Front

Solve the equation using the distributive property: 3(x - 2) = 9

Back

x = 3

Front

What is a one-step equation?

Back

A one-step equation is an equation that can be solved in a single step, typically by performing the inverse operation.

Front

Solve the one-step equation: 3x = 15

Back

x = 5

Front

What does it mean to isolate a variable?

Back

To isolate a variable means to get the variable alone on one side of the equation, making it easier to solve.

Front

Solve the equation: 4 = 2(3x + 2)

Back

x = 0

Front

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

Back

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

Front

Solve the equation: 6x - 4 = 14

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.