Solve multi-step equation with distributive property and combine like terms

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

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of terms that have the same variable raised to the same power.

Front

Solve the equation: 3(x - 5) - x = 1

Back

x = 8

Front

What is the first step in solving an equation with the distributive property?

Back

The first step is to distribute the term outside the parentheses to each term inside the parentheses.

Front

Solve the equation: 2(3b + 1) + 2b = -22

Back

b = -3

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value of the variable that makes the equation true.

Front

Solve the equation: 12 + 4(2x - 7) = 48

Back

x = 8

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve, often involving combining like terms and using the distributive property.

Front

Solve the equation: 2(2y + 4) = 32

Back

y = 6

Front

What is a coefficient?

Back

A coefficient is a numerical factor in a term of an algebraic expression, such as the 4 in 4x.