Standard Problems
Terrence signed up for the Safe Venture driving school. He will spend 10 hours driving with an instructor and will also attend weekly 2-hour classes. When Terrence completes the 26 total hours of instruction, he will take his driver's test. How many weeks of classes will Terrance have to attend?
2w + 10 = 26
8 weeks
Ms. Chapman wants to take her scout troop to Neon Nights roller rink. The employee she spoke to ahead of time said the total cost for all 9 people in the group would be $81. This includes an entrance ticket and $3 skate rental fee for each person. How much is the entrance ticket?
9(t + 3) = 81
$6
The perimeter of a rectangle is 38 inches. The length of a rectangle is 11 inches. Write and solve an equation to find the width, w.
2(w + 11) = 38
w = 19 inches
Tara stayed at the Merry Mountain campgrounds last weekend. She paid a rental fee to use a kayak for 4 days. She also paid $18 for a guided waterfall tour. Tara paid $94 in all. What was the rental cost of each day Tara used the kayak?
4c + 18 = 94
$19 per day
At Handy Hardware Shop's annual spring-cleaning sale, every ratchet set in the shop gets marked down. Austin purchased 2 ratchet sets during the sale: one for himself and one to give to his dad on Father's Day. Each ratchet set cost $8 less than its full price. He paid a total of $56. What is the cost of each ratchet set at full price?
2(r - 8) = 56
$36
Write and solve an equation to find the length of a rectangle with a width of 14 inches and a perimeter of 64 inches.
2(L + 14) = 64
L = 18 inches
Maplewood Furniture Store is having a sale on dining room furniture. When a customer purchases a set of dining chairs, a one-time discount of $55 is applied to the total. During the sale, Rhianna buys a set of 6 chairs that match the table she inherited from her grandmother. Rhianna pays $455 in all. How much is each chair?
6c - 55 = 455
$85 per chair
Russell has been training for the Emerald Valley Race. The first week he trained, he ran 5 days and took the same two routes each day. He ran 2 miles around the football field before school and ran a longer route through his neighborhood after school. By the end of the week, Russell had run a total of 30 miles. How many miles did Russell run each day after school?
5(x + 2) = 30
4 miles
Tori's family is leaving for a camping trip in the morning. Marshall Meadows, where they will camp, is 325 miles away. Tori's parents plan to drive for 3 hours in the morning, then stop for lunch. They will complete the trip in the afternoon. They expect their average speed will be 50 miles per hour. How many hours will they drive in the afternoon?
50(h + 3) = 325
3.5 hours
Monica sold 3 pairs of her old Slick Sprinter sneakers at the Re-Laced secondhand store. Before she left, Monica spent $13 of her earnings on a used pair of boots. She had $8 remaining. How much did Monica receive for each pair of sneakers?
3s - 13 = 8
$7 per pair
Adam is planning a pool party to celebrate the last day of school. He wants to give out beach towels to his guests as party favors. Adam ordered 14 beach towels from Sunshine Party Supply. Since this was a bulk order, Sunshine Party Supply reduced the price of each towel by $3.25. Adam paid $105 in all. How much does Sunshine Party Supply normally charge for a beach towel?
14(b - 3.25) = 105
$10.75
Herman and his dad are leaving early in the morning for his lacrosse tournament. Their house is 210 miles from the tournament. They plan to stop and eat after 2 hours of driving, then complete the rest of the trip. Herman's dad plans to drive at an average speed of 60 miles per hour. How long will the second part of the trip take?
60(h + 2) = 210
1.5 hours
Celine is making a special gelatin dessert for the Constellation Club meeting. She plans to fill a large moon-shaped mold with 8 ounces of gelatin. She wants to use the rest of the gelatin to fill small star-shaped molds. Each star-shaped mold holds 2 ounces, and the package of gelatin she bought makes 48 ounces in all. How many star-shaped molds can Celine fill?
2s + 8 = 48
20 star-shaped molds
Cute Castle Toy Store is having its annual holiday sale, when every toy in the store gets marked down. During the sale, Ted purchases 4 Mighty Muscle action figures to add to his collection, each at $3 less than full price. Ted pays a total of $92. How much does each Mighty Muscle action figure cost at full price?
4(f - 3) = 92
$26
A rectangle has an area of 4x + 32 in2 and a width of 4 inches. Find an expression that represents the length of the rectangle.
x + 8
Vijay's family is leaving for Galactic Gardens Resort once his parents get home from work on Friday. Their house is 544 miles from the resort. They plan to stop and spend the night at a hotel after 3 hours of driving, then complete the rest of the trip on the second day. If their average speed is 64 miles per hour, how long will they drive on the second day?
64(h + 3) = 544
5.5 hours