Solving equations with word problems

WRITE AN EQUATION
For a field trip 4 students rode in cars and the rest filled nine buses. How many students were in each bus if 472 students were on the trip?

• 4x=472
• 9x=472
• 4+9x=472
• 4+x=472

Lucy rents a bike from a company that charges an initial fee of $12 plus $3 per hour that the bike is rented. If Lucy spends $30, write an equation that can be used to represent how many hours she can rent the bike.

• 3x - 12 = 30

• 3x + 12 =30

• 3x = 30 + 12

• 30 - 3x = 12

Max worked Friday night at a restaurant for 7 hours and came home with $84  in tips. 

Which of the following equations represents the amount of dollars, x, she earned per hour in tip

• x +x + 7 = $84

• 84/7 = x

• 7x = 84

Eric's BBQ sells BBQ by the pound. Alexa buys $8.75 worth of sides and then 6 pounds of barbeque.  If her total bill was $40.55, how much was each pound of barbeque?

• $5.30
• $3.95
• $8.22
• $5.32

Joey and four of his friends went out to eat. They decided to split the bill evenly. Each person paid $11.13. What was the total bill? Write an equation you could use to solve this equation. Use d as your variable.

Ben and Jerry together scored 50 points in the big game. If Ben scored 16 points, how many points did Jerry score?

Which equation fits this scenario?

• x + 16 = 50

• x - 16 = -50

• -500 + x = 16

• x - 16 = 500

Amy was given an amount of money, m, for a good grades on her report card. She spent $15.00 and now has $25.32. Write an equation and determine how much money she got for getting good grades. Use m as your variable.

• m+15=25.32; m = $10.32

• m/25.32=15; m = $379.8

• m-15=25.32; m = $40.32

• 15m=25.32; m = $1.69

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat.  Write an equation for C, the total cost, to rent the boat for h hours.

• h = 2C + 15
• C = 15h + 2
• h = 15C + 2
• C = 2h + 15

A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?

• y=15x
• y=15x+80
• y=x+15
• y=80x+15

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