Two-Step Equation Word Problems

Front

What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two operations to solve for the variable.

Front

How do you isolate a variable in a two-step equation?

Back

To isolate a variable, perform the inverse operations in the reverse order of how they are applied.

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 2x + 5 = 15?

Back

The first step is to subtract 5 from both sides of the equation.

Front

If you have the equation 11x + 6 = 39, what is the first operation you should perform to solve for x?

Back

Subtract 6 from both sides of the equation.

Front

What is the solution to the equation 2x + 5 = 15?

Back

x = 5.

Front

In the problem, Jared made $60 and spent $39. How much money does he have left?

Back

He has $21 left.

Front

How do you find out how many games Jared can buy with $21 if each game costs $7?

Back

Divide the amount of money left by the cost of each game: 21 ÷ 7 = 3 games.

Front

What is the total cost equation for Terry's car repair if he was charged $50 per hour and $150 for parts?

Back

The total cost equation is 50h + 150 = 375, where h is the number of hours.

Front

How do you calculate the number of hours Terry was charged for if his total bill was $375?

Back

First, subtract 150 from 375, then divide by 50: (375 - 150) ÷ 50 = 4.5 hours.