Word Problems and Systems

Solve the following using elimination.
x − y = 11
2x + y = 19

• (-1, 10)
• (30, 19)
• (19, 30)
• (10, -1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

• (-10,14)

• (14,10)

• (10,14)

• No Solution

• Infinitely Many Solutions

Tags

CCSS.8.EE.C.8B

Solve the system.

3x + 2y = 16

7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

• No Solution

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system.

2x + 3y = 12

5x - y = 13

• x = -3, y = -2

• x = 1.5, y = 2

• x = 6, y = 0

• x = 3, y = 2

• Infinitely Many Solutions

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system.

-6x+y= -2

-3x-6y= 12

• (2,0)

• no solution

• (0,-2)

• infinite solutions

Tags

CCSS.8.EE.C.8B

Nancy went to the grocery story.  On Monday she purchased 4 apples and 6 bananas for a total of $13.  On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50.  Which system of equations represents the situation?

• 4x + 6y = 3
  13.5x - 13y = 6
• x + y = 4
  x - y = 6
• 4x + 6y = 13
  3x + 7y = 13.5
• 4x - 6y = 13
  3x - 7y = 13.5

Tags

CCSS.8.EE.C.8C

Two brothers went shopping at a back-to-school sale where all shirts and shorts were the same price. The younger brother spent $175 on 7 new shirts and 7 pairs of shorts. The older brother purchased 6 new shirts and 7 pairs of shorts and paid a total of $165. How much did one shirt cost?

• $5
• $10
• $15
• $20

Tags

CCSS.8.EE.C.8C

Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total. Solve the system:
x + y = 21
6x + 4y = 104

• (10, 11)
• (12, 9)
• (11, 10)
• (9, 12)

Tags

CCSS.8.EE.C.8C

A class of 171 students went on a field trip. They took 9 vehicles, some vans and some buses. Find the number of vans if each van holds 11 students and each bus holds 35 students.

• 3 vans

• 6 vans

• 9 vans

• 11 vans

Tags

CCSS.8.EE.C.7B

There are 18 animals in the barnyard. Some are geese and some are buffalo. Altogether there are 60 legs. How many geese are there?

• 12

• 6

• 9

• 10

Tags

CCSS.8.EE.C.8C