Test 3--Systems Word Problems

Choose the correct ordered pair to represent the system of equations.

• (15, 21)

• (17, 19)

• (14, 22)

• (13, 23)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What ordered pair represents the two numbers?

• (20, 5)

• (19, 6)

• (8, 17)

• (18, 7)

Tags

CCSS.8.EE.C.8C

The cost of 12 oranges and 7 apples is $5.36. Eight oranges and 5 apples cost $3.68. Find the cost of one apple.

• $0.26

• $0.22

• $0.32

• $0.36

Tags

CCSS.8.EE.C.8C

At a sale on winter clothing, Cody bought two pairs of gloves and four hats for $43.00. Tori bought two pairs of gloves and two hats for $30.00. What is the cost of one hat?

• $8.50

• $7.50

• $6.50

• $5.50

Tags

CCSS.8.EE.C.8C

Gabby and Sydney bought some pens and pencils. Gabby bought 4 pens and 5 pencils for $6.71. Sydney bought 5 pens and 3 pencils for $7.12. Choose the correct system of equations that would allow you to find the cost of each.

• $4x+5y=7.12$
  $3x+5y=6.71$
  

• $5x+4y=6.71$
  $5x+3y=7.12$
  

• $4x+5y=7.12$
  $5x+3y=6.71$
  

• 
  

  $4x+5y=6.71$

  $5x+3y=7.12$
  

Tags

CCSS.8.EE.C.8C

A garden supply store sells two types of lawn mowers. The smaller mower costs $249.99 and the larger mower costs $329.99. If 30 total mowers were sold and the total sales for a given year was $8379.70, find how many smaller mowers were sold.

*(You may use a calculator.)

Type only the number as your answer, no letters, no words, and no spaces.

Tags

CCSS.8.EE.C.8C

The Town Recreation Department ordered a total of 100 baseballs and bats for the summer baseball camp. Baseballs cost $4.50 each and bats cost $20 each. The total purchase was $822. How many bats were ordered?

Type only the number as your answer, no letters, no words, and no spaces.

Tags

CCSS.8.EE.C.8C

Josh is thinking of two numbers.  Their sum is -10 and their difference is -2.  Which system of equations represents the situation?

• x - y = -10
  x + y = -2
• x = -2 
  y = 5
• x + y = -2
  x - y = -10
• x + y = -10
  x - y = -2

Tags

CCSS.HSA.CED.A.3

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.HSA.CED.A.3

The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, which system could be used to find how many of each type of ticket were sold?

• S + A = 530
  3S + 4A = 1740
• S + A = 530
  4S + 3A = 1740
• S + A = 1740
  3S + 4A = 530
• S + A = 1740
  4S + 3A = 530

Tags

CCSS.HSA.CED.A.3