Equations and Word Problems

Deanne worked 25 hours this week. That was 3 hours less than she worked last week. Which equations represents how many hours she worked last week? 

• 3h = 25
• h + 3 = 25
• h - 3 = 25
• 3 / h = 25

My brother is 2 years older than I am. He is 18 years old. Which equation represents how old I am? 

• m - 2 = 18
• m + 2 = 18
• 2m = 18
• m/2 = 18

Todd caught three times as many fish this year than last year. He caught 63 fish this year. Which algebraic equation represents how many fish he caught last year? 

• 3f = 63
• 63 - 3 = f
• 63/3 = f
• 3 + f = 63

Jim paid a gym membership fee of $50, plus $20 per month.  Jim has paid a total of $290 to the gym.  Which equation matches this situation? (Write down the correct answer for the next question!)

• 50 + 20m = 290
• 20 + 50m = 290
• 50 + 20 = m
• 50m - 20 = 290

Jim paid a gym membership fee of $50, plus $20 per month.  Jim has paid a total of $290 to the gym. How many months has he been a member at the gym? (Solve the last equation)

• 12
• 17
• 64.5
• 15

Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.

• 7x + 35 = 63
• 7x = 63
• 7x - 35 = 63
• 35x + 7 = 63

Natalie is a softball coach. She has a pitching private lesson with Kasey. Kasey's mom pays Natalie $11 per hour plus a $6 tip. Write an equation that represents this scenario if the total cost was $39.

• 11x + 6 = 39
• 11x - 6 = 39
• 11 + 6x = 39
• 66x = 39

Kayla ran 20 miles less than Ming last

week. Kayla ran 18 miles. How many

miles did Ming run?

• 58

• 38

• 42

• 2

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. Write an equation to find out how many hours, h, they rented the Boat if the total cost was $33.

• 33 = 2h - 15

• 33 = 15h - 2

• 33 = 2h + 15

• 33 = 15h + 2

What is the first step to complete when solving this equation?

10 - 3y = 4

• Add 10

• Subtract 10

• Add 3

• Divide by -3