System Word Problems - Setting Up

Ralph makes $14 per hour plus a $20 bonus.  Melissa makes $12 per hour plus a $15 bonus.  Which system models this scenario?

• y = 14x + 15
  y = 12x + 20
• y = 20x + 14
  y = 15x + 12
• y = 14x + 20
  y = 12x + 15
• 14x + 20y = 1

  12x + 15y = 2

Tags

CCSS.8.EE.C.8C

Ben ordered 20 total items consisting of pizza and sodas.  A pizza is $10, a soda is $2, and he spent a total of $72.  Which system models this scenario?

• 10P + 2S = 20
  P + S = 72
• P + S = 20
  2P + 10S = 72
• P + S = 20
  10P + 2S = 72
• y = 10x + 2

  y = 72x + 20

Tags

CCSS.HSA.CED.A.3

Sally charges $5/hour in her dog walking service, plus a $15 fee to pick up the dogs. Frank charges $10/hour in his dog walking service, but charges no pick-up fee. What set of linear equations below models this information?

• y = 15x + 5
  y = 10x
• y = 5x + 15
  y = 10x
• y = 10x + 5
  y = 15x
• 5x + 15y = 1

  10x = 2

Tags

CCSS.8.EE.C.8C

Rachel buys 3 tricycles and 4 bicycles for a total of $72. Joe bought 5 tricycles and 2 bicycles for $50.  Which system models this scenario?

• 3B + 5T = 72
  2T + 4B = 50

• 3T + 4B = 72
  5T + 2B = 50
• 3T + 4B = 50
  5T + 2B = 72
• y = 3x + 4

  y = 5x + 2

Tags

CCSS.8.EE.C.8C

There are two taxi companies in Kara's town. The total cost for a ride in a taxi from TaxiTown includes a fixed fee of $4 and then $0.75 per mile. The cost for Quick Ride is given in the table. Which system represents the situation?

• y = .75x + 4

  y = .50x + 5

• y = 4x + .75

  y = 5x + .50

• y = .75x + 4

  y = 5.50x + .50

• .50x + .75y = 5

  .75x + .50y = 4

Tags

CCSS.8.EE.C.8C

Mr. Riley bought 8 tickets to a chili supper and spent a total of $30. He bought a combination of adult tickets for $5 each and child tickets $3 each. Which system of equations below will determine the number of child tickets, c, and the number of adult tickets, a, he bought?

• y = 8x + 30

  y = 5x + 3

• a + c = 8

  3a + 5c = 30

• 5a + 3c = 8

  a + c = 30

• 5a + 3c = 30

  a + c = 8

Tags

CCSS.HSA.CED.A.3

A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping. Which system of equations could be used to find the number of toppings when both companies cost the same amount? 

• y = 6.80 + .65x
  y=7.30+.90x
• x + y = 6.80
  x + y = 7.30
• y = .90x + 6.80
  y = .65x + 7.30

• y + .90x = 6.80
  y + .65x = 7.30

Tags

CCSS.8.EE.C.8C

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

• y = 10x + 13

  y = 10x + 13.50

Tags

CCSS.8.EE.C.8C

Your family goes to a restaurant for dinner. There are 6 people in your family. Some order the chicken dinner for $14.80, and some order steak for $17. If the total bill was $91, which system best represents the situation? 

• x + y = 6
  14.80x + 17y = 91
• x + y = 91
  14.80x + 17y = 6
• x + y = 6
  91y + 17x = 14.80

• x + y = 91
  14.80x+ 17y = 6

Tags

CCSS.HSA.CED.A.3

Which of the following is not a method for solving systems of equations

• Elimination

• Substitution

• Estimation

• Graphing

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6