Solving Multi-Step Equations

Front

What is a multi-step equation?

Back

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

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 isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What does it mean to combine like terms?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

Solve for x: 3(x + 4) = 21

Back

x = 5

Front

Solve for x: 2(x - 3) + 4 = 10

Back

x = 8

Front

Solve for x: 5x - 3 = 2x + 12

Back

x = 5

Front

Solve for x: 4(x + 2) = 28

Back

x = 5

Front

What is the first step in solving the equation 2(x + 5) - 7 = 3(x - 2)?

Back

The first step is to distribute the 2 and the 3 to eliminate the parentheses.

Front

Back

x = -9