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

Front

What is the first step to solve the equation 5x + 7 = 12?

Back

Subtract 7 from both sides to isolate the term with x.

Front

How do you combine like terms in the equation 1 + 4n - 6n = 1 - 8n?

Back

Combine 4n and -6n to simplify the left side to -2n.

Front

What is the solution to the equation 7x + 19 = -2x + 55?

Back

x = 4.

Front

What operation is performed to isolate x in the equation 5x + 9 = 2x - 3?

Back

Subtract 2x from both sides.

Front

What is the first step in solving the equation 2(2x + 3) = -6(x + 9)?

Back

Distribute the numbers outside the parentheses.

Front

What does it mean to isolate a variable in an equation?

Back

To isolate a variable means to manipulate the equation so that the variable is on one side by itself.

Front

What is the solution to the equation 2(2x + 3) = -6(x + 9)?

Back

x = -6.

Front

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

Back

To verify that the solution satisfies the original equation.

Front

What is the result of subtracting 9 from both sides of the equation 5x + 9 = 2x - 3?

Back

3x = -12.