Muti-Step Equations (Variable On One Side)

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 operations such as addition, subtraction, multiplication, and division.

Front

How do you isolate a variable in a multi-step equation?

Back

To isolate a variable, 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 137 = 5(1 - 8n) - 4n?

Back

Distribute the 5 to both terms inside the parentheses: 137 = 5 - 40n - 4n.

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

Solve for n: 137 = 5(1 - 8n) - 4n. What is n?

Back

n = -3.

Front

What is the solution to the equation 5x - 4 + 2x = 3?

Back

x = 1.

Front

What is the purpose of checking your solution in an equation?

Back

Checking your solution ensures that the value you found satisfies the original equation.

Front

How do you solve the equation -11 + 3(b + 5) = 7?

Back

First, distribute the 3: -11 + 3b + 15 = 7, then combine like terms and isolate b to find b = 1.

Front

What is the solution to the equation 2x + 3(5x - 7) = 47?

Back

x = 4.

Front

How do you solve the equation -6(n - 8) = 90?

Back

First, divide both sides by -6: n - 8 = -15, then add 8 to both sides to find n = -7.