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

How do you isolate a variable in an 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: 2x + 3 = 11?

Back

The first step is to subtract 3 from both sides to get 2x = 8.

Front

Solve for x: 3x - 4 = 11

Back

x = 5.

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.

Front

Solve for x: x/2 + 5 = 10

Back

x = 10.

Front

What is the solution to the equation: 4(x - 2) = 12?

Back

x = 5.

Front

How do you solve the equation: 5x + 3 = 2x + 12?

Back

First, subtract 2x from both sides to get 3x + 3 = 12, then subtract 3 to get 3x = 9, and finally divide by 3 to find x = 3.

Front

What is the solution to the equation: 7 - 2x = 1?

Back

x = 3.

Front

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

Back

x = 1.