System of Equations Review

Ashley had a summer lemonade stand where she sold small cups of lemonade for $1.25 and Large cups for $2.50. If Ashley sold a total of 155 cups for $265, which system could be used to determine the number of small (x) and large (y) cups she sold? 

• x + y = 265 
  1.25x+2.5y=155 
• x + y = 155
  2.5x+1.25y=265
• x + y = 265
  2.5x+1.25y=155
• x + y = 155
  1.25x+2.5y=265

Tags

CCSS.HSA.CED.A.3

A sporting goods store sells left haded (x) and right handed (y) 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

Tags

CCSS.HSA.CED.A.3

Tickets to a movie cost $7.25 for adults and $5.50 for students. A group of friends purchased 8 tickets for $52.75. Which system could be solved to determine the number of adult tickets (a) and student tickets (s) purchased?

• a+s=52.75
  5.5a+7.25s=8
• a + s = 8
  5.5a+7.25s=52.75
• a + s = 52.75
  7.25a+5.5s=8
• a + s = 8
  7.25a+5.5s=52.75

Tags

CCSS.8.EE.C.8C

The sum of two numbers is 14. The larger number is 2 less than three times the smaller number. Which system could be solved to find the value of these numbers?

• x+y=14

  y=3x-2

• x+y=2

  3x-2y=14

• x+y=14

  y=-2

• x+y=14

  y=3x+2

Tags

CCSS.HSA.CED.A.3

At a holiday ski resort, skis cost $16 to rent and snowboards cost $19. If 28 people rented on a certain day and the resort brought in $478, which system could be used to determine the number of skis (s) and snowboards (b) rented?

• s+b=478
  19s+16b=28
• s + b = 28
  16s+19b=478
• s+b=478
  16s+19b=28
• s+b=28
  19s+16b=478

Tags

CCSS.HSA.CED.A.3

Academy sports equipment store is having a sale on bike helmets and water bottles.  One bike club purchased 10 helmets and 2 water bottles for $155.  Another bike club purchased 12 helmets and 3 water bottles for $189.  Which system of equations could be used to determine the cost of a bike helmet and a water bottle?

• 2h + 10b = 155
  12h + 3b = 189
• 10h + 2b = 189
  12h + 3b = 155
• 10h + 2b = 155
  12h + 3b = 189
• 10h + 3b = 155
  12h + 2b = 189

Tags

CCSS.HSA.CED.A.3

Your family goes to a southern style restaurant for dinner. There are 6 total people in your family. Some order chicken for $14 and the rest order steak for $17. The total bill is $99. Write a system that could represent this situation.

• c + s = 6
  14c + 17s = 99
• c + s = 99
  14c + 17s = 6
• c + s = 6
  17c + 14s = 99
• c + s = 99
  17c + 14s = 6

Tags

CCSS.HSA.CED.A.3

Suppose you have a total of $2.25 in dimes and nickels. You have a total of 50 coins. Which system of equations could be used to determine how many of each you have?

• 0.10d + 0.05n = 2.25

  d + n = 50

• 0.05d + 0.10n = 50

  d + n = 2.25

• 0.10d + 0.05n = 2.25

  d - n = 50

• 0.05d + 0.10n = 2.25

  d + n = 50

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, 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.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