Add and Subtract One-Step Equations

Front

What is a one-step equation?

Back

A one-step equation is an algebraic equation that can be solved in a single step by performing the same operation on both sides of the equation.

Front

How do you solve the equation: 17 = x + 3?

Back

Subtract 3 from both sides: 17 - 3 = x, so x = 14.

Front

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

Back

Subtract 7 from both sides: x = 12 - 7, so x = 5.

Front

Solve the equation: x + 12 = 20.

Back

Subtract 12 from both sides: x = 20 - 12, so x = 8.

Front

What is the solution to the equation: 4 + b = 30?

Back

Subtract 4 from both sides: b = 30 - 4, so b = 26.

Front

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

Back

Isolating the variable means to manipulate the equation so that the variable is on one side and all other terms are on the other side.

Front

What operation would you use to solve the equation: x - 5 = 10?

Back

Add 5 to both sides: x = 10 + 5, so x = 15.

Front

How do you check your solution for the equation x + 3 = 10?

Back

Substitute the solution back into the original equation: 10 + 3 = 10, which is true.

Front

What is the solution to the equation: 3 + x = 9?

Back

Subtract 3 from both sides: x = 9 - 3, so x = 6.

Front

What is the purpose of solving equations?

Back

The purpose is to find the value of the variable that makes the equation true.