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

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 is the first step in solving the equation x/4 - 3 = 9?

Back

The first step is to add 3 to both sides of the equation to eliminate the -3.

Front

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

Back

x = 5.

Front

What do you do when you have like terms in an equation?

Back

You combine like terms by adding or subtracting their coefficients.

Front

Solve for x: 6x + 5x = -11.

Back

x = -1.

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 parenthesis.

Front

Solve for x: 5x - 4 + 2x = 3.

Back

x = 1.

Front

What is the solution to the equation -48 + 12 + x = -12?

Back

x = 24.

Front

What does it mean to check your solution in an equation?

Back

Checking your solution means substituting the value back into the original equation to verify that both sides are equal.