Two step equations: Distributive Property/Combining Like Terms

Front

What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two operations to solve for the variable.

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac, allowing 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 for x: 7x + 12 - 7 = 40

Back

x = 5

Front

Solve for x: -4x + 6x - 2 = 4

Back

x = 3

Front

Solve for x: 2(x + 3) = 14

Back

x = 4

Front

Solve for x: 10 - 5 + 3x = 26

Back

x = 7

Front

Solve for x: 16 - 6 + 10x = 50

Back

x = 4

Front

What is the first step to solve a two-step equation?

Back

The first step is usually to isolate the variable term by performing the inverse operation on the constant term.

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.