Systems of Linear Equations Applications

Micah (x) and Mallory (y) worked together to reshelve the returned books at the library. Together, they reshelved 48 books. If Mallory reshelved one-third of the number of books that Micah reshelved.

What is the system of equations that go with this scenario?

Micah and Mallory worked together to reshelve the returned books at the library. Together, they reshelved 48 books. If Mallory reshelved one-third of the number of books that Micah reshelved, how many books did Mallory reshelve?

• 12

• 16

• 18

• 24

How many books did Micah reshelve?

• 10 books

• 15 books

• 36 books

• 25 books

Erin (x) is 3 years younger than twice Alex's (y) age. Their ages combined are 33 years. How old are Alex and Erin. If x=Erin's age and y=Alex's age, choose the system that matches the situation.

• x + y = 33
  y = 2x - 3
• x + y = 33
  x = 2y - 3
• x + y = 33
  x = 3 - 2y
• x + y = 3
  x = 33 - 2y

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6

Erin (x) is 3 years younger than twice Alex's (y) age. Their ages combined are 33 years. How old are Alex and Erin. If x=Erin's age and y=Alex's age, how old are Erin and Alex.

How old is Erin?

Mathematical Equivalence

ON

The athletic boosters sold a total of 10 T-shirts (x) and ball caps (y) at the Jacksboro football game. If each T-shirt was $10 and each ball cap was $5 how many shirts and caps did they sell if they made $65. Which system of equations goes with this scenario?

The athletic boosters sold a total of 10 T-shirts (x) and ball caps (y) at the Jacksboro football game. If each T-shirt was $10 and each ball cap was $5 how many shirts and caps did they sell if they made $65. How many T-shirts and ball caps did they sell?

• (3,7)

• (7,3)

• (9,1)

• (8,2)

Use the information provided to answer the questions. Abigail’s purse contains a mixture loose of quarters (x) and pennies (y) worth $2.39. If Abigail’s purse contains a total of 23 quarters and pennies, how many quarters are in Abigail’s purse?

Which system of equations goes with this scenario?

Use the information provided to answer the questions. Abigail’s purse contains a mixture loose of quarters (x) and pennies (y) worth $2.39. If Abigail’s purse contains a total of 23 quarters and pennies, how many quarters are in Abigail’s purse?

How many quarters and pennies did she have?

• (11,12)

• (95,-72)

• (9,14)

• (152,-129)

A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles. The price of each large candle is the same, and the price of each small candle is the same.

Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y?

• 4y = 3x + 64

  8y = x + 68

• 4y = 3x + 64

  8y = x + 60

• 3x + 4y = 64

  x + 8y = 68

• 3x + 4y = 64

  x + 8y = 60

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6