One-variable equations

Front

What is a one-variable equation?

Back

A one-variable equation is an equation that contains only one variable, which can be solved to find its value.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value of the variable that makes the equation true.

Front

What is the first step in solving the equation x + 5 = -2?

Back

Subtract 5 from both sides to isolate the variable x.

Front

What is the solution to the equation 2x + 1 = 5?

Back

x = 2.

Front

How do you isolate the variable in the equation 3x - 4 = 5?

Back

Add 4 to both sides, then divide by 3.

Front

What is the solution to the equation -3x = 6?

Back

x = -2.

Front

What does it mean when an equation has no solution?

Back

It means there is no value for the variable that can make the equation true.

Front

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

Back

x = 4.

Front

What is the purpose of using inverse operations in solving equations?

Back

Inverse operations are used to undo operations and isolate the variable.

Front

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

Back

x = 5.