Solving Systems from Word Problems

The length of a rectangle is 2 centimeters longer than its width. The perimeter is 16 centimeters. What are the length and width of the rectangle?

• Length: 10 centimeters, Width: 6 centimeters

• Length: 6 centimeters, Width: 10 centimeters

• Length: 3 centimeters, Width: 5 centimeters

• Length: 5 centimeters, Width: 3 centimeters

Tags

CCSS.8.EE.C.8C

The sum of two numbers is 25. One number is twice the second number, plus seven. What are the two numbers?

• -6 and 19

• 6 and 19

• 6 and -19

• -6 and -19

Tags

CCSS.8.EE.C.8C

The concession stand sells pizza and drinks during football games. Murphy bought 4 drinks and 6 slices of pizza for a total of $6.70. Anna bought 3 drinks and 4 slices of pizza for a total of $4.65. What is the price of one drink and for one slice of pizza?

• Drink: $0.55, Pizza: $0.75

• Drink: $0.75, Pizza: $0.55

• Drink: $0.70, Pizza: $0.50

• Drink: $0.50, Pizza $0.70

Tags

CCSS.8.EE.C.8C

Jimmy and Trevor each improved their yards by planting rose bushes and shrubs. They bought their supplies from the same store. Jimmy spent $140 total on 12 rose bushes and 4 shrubs. Trevor spent $65 total on 1 rose bush and 7 shrubs. What is the cost of a rose bush and a shrub?

• Rose bush: $9, Shrub $8

• Rose bush: $8, Shrub $9

• Rose bush: $10, Shrub: $7

• Rose bush: $7, Shrub: $10

Tags

CCSS.8.EE.C.8C

Nora and Dan are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of holiday wrapping paper. Nora sold 6 rolls of plain wrapping paper and 1 roll of holiday wrapping paper for a total of $128. Dan sold 2 rolls of plain wrapping paper and 2 rolls of holiday wrapping paper for a total of $76. What is the cost of one roll of the plain paper and of the holiday paper?

• Plain: $20, Holiday: $18

• Plain: $18, Holiday: $20

• Plain: $20, Holiday: $20

• Plain: $18, Holiday: $18

Tags

CCSS.8.EE.C.8C

The senior classes at SDHS and OGHS are planning separate trips to the beach. The senior class at SDHS rented and filled 2 vans and 1 bus with a total of 70 students. The senior class at OGHS rented and filled 10 vans and 7 buses with a total of 466 students. Find the number of students in each van and each bus.

• Van: 18, Bus: 82

• Van: 82, Bus: 18

• Van: 58, Bus: 6

• Van: 6, Bus: 58

Tags

CCSS.8.EE.C.8C

Abigail and Julia are selling pies for a school fundraiser. Customers can buy cherry pies and blackberry pies. Abigail sold 7 cherry pies and 1 blackberry pie for a total of $59. Julia sold 13 cherry pies and 13 blackberry pies for a total of $299. Find the cost of each type of pie.

• Cherry: $7, Blackberry: $10

• Cherry: $6, Blackberry: $17

• Cherry: $17, Blackberry: $6

• Cherry: $10, Blackberry: $7

Tags

CCSS.8.EE.C.8C

Natalie and Adam each improved their yards by planting hostas and ivy. They bought their supplies from the same store. Natalie spent $68 total on 3 hostas and 8 pots of ivy. Adam spent a total of $116 on 7 hostas and 8 pots of ivy. What is the cost of each type of plant?

• Hosta: $12, Ivy: $16

• Hosta: $16, Ivy: $12

• Hosta: $4, Ivy: $12

• Hosta: $12, Ivy: $4

Tags

CCSS.8.EE.C.8C

The school that Nadia goes to is selling tickets to a play. On the first day of ticket sales, the school sold 6 adult tickets and 4 student tickets for a total of $90. The next day, the school sold $63 total for 3 adult tickets and 4 student tickets. What is the cost of each type of ticket?

• Adult: $9, Student: $9

• Adult: $9, Student: $7

• Adult: $7, Student: $7

• Adult: $10, Student: $5

Tags

CCSS.8.EE.C.8C

Collin mowed his neighbor's yard. He was paid in dimes and nickels. He received 80 coins in all, which totaled $6.60. How many dimes and how many nickels did he receive?

• Dimes: 30, Nickels: 50

• Dimes: 50, Nickels: 30

• Dimes: 52, Nickels: 28

• Dimes: 28, Nickels: 52

Tags

CCSS.8.EE.C.8C