Solving Two-Step Word Problems

In this year's school soccer tournament, Emma has scored 1 more than twice the number of goals that Nick has scored. If Emma has scored 15 goals, which equation can be used to find x, the number of goals Nick has scored?

• x - 15 = 1

• x + 1 = 15

• 2x + 1 = 15

• x + 1 = x + 15

Scott runs a car repair shop. He charges $35 for each car he services and an additional $7 for every hour he spends on the car. Avery took her car to Scott's shop and the bill came to $63. Write an equation that represents this scenario.

• 7x + 35 = 63

• 7x = 63

• 7x - 35 = 63

• 35x + 7 = 63

Abigail, Aiden, and Sophia are planning to go to the county fair. The entry fee for the fair is $20 per person and each ride ticket costs $0.50. They figured out that the correct equation to calculate the total cost would be .50x + 20 = 35.
So, how many ride tickets did they buy in total?

• x = 30

• x = 25

• x = 35

• x = 31

Samuel took a taxi from his home to the airport. The taxi charges $3 as a base fare, plus $1.50 for each mile traveled. Samuel was charged $30 for the ride. How many miles does Samuel live from the airport?

• 18 miles

• 20 miles

• 22 miles

Priya took her bicycle to Ace Auto for a repair. She was charged $50 per hour of labor plus $150 for parts. Her total bill for the repair before tax was $375. How many hours of labor was Priya charged for?

• 2.5 hours

• 4.5 hours

• 7.5 hours

• 10.5 hours

Mason and Ethan started helping their neighbor Akhira with her landscaping business. Akhira charges $6 an hour for mowing lawns and $11 for pulling weeds. In September, Mason mowed lawns for 63 hours and Ethan pulled weeds for 9 hours. How much money did Akhira earn in September from Mason and Ethan's work?

• $15

• $378

• $477

• $467

During a school charity event, Aiden and Lily participated in a marathon. Aiden ran for 92 yards. Lily ran 30 yards more than Aiden. What was the total number of yards run by both Aiden and Lily during the marathon?

• 122

• 62

• 214

• 201

Maya, Anika, Abigail and their classmates, a total of 331 students, went on a field trip to a science museum. They traveled in six buses and 7 students had to travel in cars due to lack of space. How many students were in each bus? Write an equation that matches this situation.

• 331=7x+6

• 331=13x

• 331=6x+7

• 331-7=6x

Ty weighed 230 pounds. He went on a diet and his weight was decreased by 18 pounds. He started exercising and his weight decreased by another 12 pounds. How much does he weigh?

• 212

• 218

• 200

• 194

Jason wants to buy a new video game that costs $20. He earns $2 every time he helps his friends Daniel, Benjamin, and Mia wash their dishes. So far, he has helped them 3 times. How many more times does he need to help them to earn enough money to buy his game?

• 5

• 4

• 7

• 6