C1 1.6 Modeling 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

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 + 6 = 13?

Back

Subtract 6 from both sides to isolate x.

Front

What is the solution to the equation x - 6 = 13?

Back

x = 19.

Front

How do you represent a variable in an equation?

Back

A variable is represented by a letter, such as x, that stands for an unknown number.

Front

What does the equation 3x = 8 represent?

Back

It represents that three times a number x equals 8.

Front

How do you solve the equation 3x = 8?

Back

Divide both sides by 3 to find x.

Front

What is the solution to the equation x - 3 = 9?

Back

x = 12.

Front

What does the equation x + (-3) = 7 mean?

Back

It means that when you subtract 3 from x, the result is 7.

Front

How do you solve the equation x + 6 = 13?

Back

Subtract 6 from both sides to find x.