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

Solve the equation: 3(x - 1) = 2x + 9

Back

x = 12

Front

What does it mean to isolate a variable?

Back

Isolating a variable means to manipulate an equation so that the variable is on one side of the equation by itself.

Front

Solve the equation: 50 = -5(6n + 8)

Back

n = -3

Front

What is a solution to an equation?

Back

A solution to an equation is a value that, when substituted for the variable, makes the equation true.

Front

Solve the equation: -11 + 3(b + 5) = 7

Back

b = 1

Front

What is the first step in solving multi-step equations?

Back

The first step is often to simplify both sides of the equation by combining like terms and using the distributive property.

Front

Solve the equation: 24 = 3(3x - 7)

Back

x = 5

Front

What is the purpose of checking your solution?

Back

Checking your solution involves substituting the solution back into the original equation to verify that it satisfies the equation.