Multi Step Equations Using the Distributive Property and Combining 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, you add or subtract the coefficients of terms that have the same variable raised to the same power.

Front

Solve for x: 3x + 4x - 7 = 21

Back

x = 4

Front

Distribute and solve: 2(3b + 1) + 2b = -22

Back

b = -3

Front

Solve for x: 5x - 2 + 3x = 30

Back

x = 6

Front

Distribute and solve: 3(2y - 5) = 21

Back

y = 6

Front

Solve for x: 2x - 3 + 4x = 27

Back

x = 5

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

What does it mean to isolate the variable?

Back

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

Front

What is a coefficient?

Back

A coefficient is a numerical factor in a term of an algebraic expression, such as the 3 in 3x.