Equation and Inequalities Word Problems

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?

• 50 + 20m = 290

• 20 + 50m = 290

• 50 + 20 = m

• 50m - 20 = 290

Answer explanation

Jim's total payment includes a $50 initial fee and $20 for each month (m). The equation 50 + 20m = 290 correctly represents this situation, where 290 is the total amount paid.

Tags

CCSS.HSA.CED.A.3

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

Answer explanation

To find Kylie's car bill, we set up the equation: total cost = fixed charge + hourly charge. Here, $35 is the fixed charge and $7 per hour is the hourly charge, represented as 7x. Thus, the equation is 7x + 35 = 63.

Tags

CCSS.HSA.CED.A.3

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?

• 2.5 hours

• 4.5 hours

• 7.5 hours

• 10.5 hours

Answer explanation

Terry's total bill was $375. Subtracting the $150 for parts leaves $225 for labor. At $50 per hour, he was charged for 4.5 hours of labor ($225 ÷ $50 = 4.5). Thus, the correct answer is 4.5 hours.

Tags

CCSS.7.EE.B.4A

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.

• .50x + 20 = 35

• .50x = 35

• .50 + 20x = 35 

• .50x - 20 = 35

Answer explanation

The total cost is the entrance fee ($20) plus the cost of ride tickets ($0.50 each, represented by x). Therefore, the equation is 0.50x + 20 = 35, which correctly represents Penelope's total spending.

Tags

CCSS.HSA.CED.A.3

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

Answer explanation

The total cost includes $11 per hour (11x) and a $6 tip. The equation 11x + 6 = 39 correctly represents this scenario, where x is the number of hours. Thus, the correct choice is 11x + 6 = 39.

Tags

CCSS.HSA.CED.A.3

331 students went on a field trip. Six buses were filled and 7 students traveled in cars. 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

Answer explanation

To find the number of students in each bus, we start with the total of 331 students. Since 7 traveled in cars, we have 331 - 7 = 324 students left for the buses. With 6 buses, we can express this as 331 = 6x + 7, where x is the number of students per bus.

Tags

CCSS.HSA.CED.A.3

331 students went on a field trip. Six buses were filled and 7 students traveled in cars. The equation from the last problem was: 6x+7=331. How many students were in each bus?

• 54

• 45

• 56

• 65

Answer explanation

To find the number of students in each bus, solve the equation 6x + 7 = 331. Subtract 7 from both sides to get 6x = 324. Then divide by 6, resulting in x = 54. Thus, there are 54 students in each bus.

Tags

CCSS.7.EE.B.4A

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?

• 50 + 20m = 290

• 20 + 50m = 290

• 50 + 20 = m

• 50m - 20 = 290

Answer explanation

Jim's total payment includes a one-time fee of $50 and a monthly fee of $20 for m months. The equation 50 + 20m = 290 correctly represents this situation, where m is the number of months.

Tags

CCSS.HSA.CED.A.3

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?

• 12

• 17

• 64.5

• 15

Answer explanation

Jim's total payment is $290. The initial fee is $50, leaving $240 for monthly payments. Dividing $240 by $20 per month gives 12 months. Thus, Jim has been a member for 12 months.

Tags

CCSS.7.EE.B.4A

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

Answer explanation

To find Kylie's car bill, we add the fixed charge of $35 to the hourly rate multiplied by the number of hours (x). The equation is 7x + 35 = 63, which correctly represents the scenario.

Tags

CCSS.HSA.CED.A.3