2-Step Equations Word Problems

Front

What is a 2-step equation?

Back

A 2-step equation is an algebraic equation that requires two operations to solve for the variable. It typically involves addition or subtraction followed by multiplication or division.

Front

How do you isolate a variable in a 2-step equation?

Back

To isolate a variable, perform the inverse operations in the reverse order of operations. First, eliminate any constant added or subtracted from the variable, then divide or multiply to solve for the variable.

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

Casey has $50 to spend at Best Buy. She wants to buy a DVD for $14 and some CDs that cost $12 each. How many CDs can she buy?

Back

12x + 14 = 50, where x is the number of CDs.

Front

Oceanside Bike Rental Shop charges a $14 fixed fee plus $7 an hour for renting a bike. Mary paid $70 to rent a bike. How many hours did she pay to have the bike checked out?

Back

7x + 14 = 70, where x is the number of hours.

Front

Terry had his car repaired at Ace Auto. He was charged $50 per hour of labor plus $150 for parts. His total bill for the repair before tax was $375. How many hours of labor was Terry charged for?

Back

375 = 50x + 150, where x is the number of hours.

Front

Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if she spends $35 in all.

Back

0.50x + 20 = 35, where x is the number of ride tickets.

Front

A computer printer can print 10 pages per minute. There were already 35 pages in the tray. The total pages printed was 115 pages. How many minutes has the printer been running?

Back

35 + 10x = 115, where x is the number of minutes.

Front

What is the first step in solving a 2-step equation?

Back

The first step is to eliminate any constant added or subtracted from the variable by performing the inverse operation.

Front

What is the second step in solving a 2-step equation?

Back

The second step is to divide or multiply to isolate the variable after the constant has been removed.