2018-19 U3 Writing Systems of equations

A sporting goods store sells left handed and right handed gloves. In one month, 12 gloves were sold for a total of $561. Right handed gloves cost $45 each and left handed gloves cost $52. Which system could be solved to determine the number of each type of glove sold?

• x + y = 561

  45x + 52y = 12

• x + y = 12

  52x + 45y = 561

• x + y = 12

  45x + 52y = 561

• x + y = 561

  52x + 45y = 12

Suppose you have a total of $2.25 in dimes and nickels.  You have twice as many dimes, as nickels.  Which system of equations could be used to determine how many of each you have?

• 0.10d + 0.05n = 2.25
  d = 2n
• 0.05d + 0.10n = 2.25
  d = 2n
• 0.10d + 0.05n = 2.25
  n = 2d
• 0.05d + 0.10n = 2.25
  n = 2d

Tags

CCSS.HSA.CED.A.3

Alexis had $115 and he is earning $50 per week at his summer job.  Eduardo had $130 and is earning $40 per week at his summer job.  Which system of equations could be used to determine how many weeks they must work to have the same amount?

• a(x) = 115 + 40x
  e(x) = 130 + 50x
• a(x) = 115 - 50x
  e(x) = 130 - 40x
• a(x) = 50 + 115x
  e(x) = 40 + 130x
• a(x) = 115 + 50x
  e(x) = 130 + 40x

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. Write a system to represent this situation assuming "a" represents # of adult tickets and "c" represents # of children's tickets.

• a + c = 21
  6a + 4c = 104
• a + c = 104
  6a + 4c = 21
• a + c = 21
  6c + 4a = 104
• a + c = 104
  6c + 4a = 21

Tags

CCSS.HSA.CED.A.3

Last season two running backs on the Steelers football team rushed a combined total of 1550 yards. One rushed 4 times as many yards as the other. Let x and y represent the number of yards each individual player rushed. Which system of equations could be used?

• x + y = 1550

  y = 4x

• x + y = 1550

  y = x + 4

• y - x = 1550

  y = 4x

• y = 1550 + x

  y = x + 4

On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. It turns out that the doughnuts were more popular than the coffee. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Which equations could be used to determine the cost of the coffee?

• 10c + 5d = 14.25

  5c + 10d = 16.50

• 10c + 5d = 16.50

  5c + 10d = 14.25

• c + d = 10

  5c + 10d = 16.50

• c + d = 5

  5c + 10d = 16.50

At Barnes and Noble, Maria bought a book and a CD that cost a total of $33. If the price of the book is $6 less than twice the cost of the CD, which system of equations matches the situation?

• b + c = 33

  b = 6 - 2c

• b + c = 33

  b = 2c - 6

• b + c = 33

  c = 2b - 6

• b + c = 33

  c = 6 - 2b

Tags

CCSS.HSA.CED.A.3

At a local pizza shop, 2 small pizzas, a liter of Pepsi, and 3 salads cost $20.

4 small pizzas, 2 liters of Pepsi and 1 salad cost $25.

3 small pizzas, a liter of Pepsi and 4 salads cost $28.

What is the cost of each item separately?

• 2p + 2p + 2s = 20

  4p + 4p + 4s = 25

  3p + 3p + 3s= 28

• 2p + 1p + 3s = 20

  4p + 2p + 1s = 28

  3p + 1p + 4s= 25

• 1p + 1p + 1s = 20

  1p + 1p + 1s = 25

  1p + 1p + 1s= 28

• 2p + 1p + 3s = 20

  4p + 2p + 1s = 25

  3p + 1p + 4s= 28

Write the system of inequalities

Carlos works at a movie theater selling tickets. The theater has 300 seats and charges $7.50 for adults and $5.50 for children. The theater expects to make at least $2000 for each showing

• x + y ≤ 300

  7.5x + 5.5y ≥ 2000

• x + y < 300

  7.5x + 5.5y ≥ 2000

• x + y ≤ 300

  7.5x + 5.5y ≤ 2000

• x + y > 2000

  7.5x + 5.5y ≤ 300

Collin needs to save at least $100 for homecoming. He works 2 jobs earning $9/hour at Bill Millers and $25/hour mowing lawns. He only has time to work 14 hours before homecoming.

• x + y ≥ 25

  x + y ≤ 9

• 100x + 25 y ≤ 100

  2x + 9y ≤ 14

• x + y ≥ 100

  9x + 25y ≤ 14

• 9x + 25y ≥ 100

  x + y ≤ 14