System of Linear Applications

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

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? Let "c" represent the # of people who ordered chicken and "s" represent those who ordered steak.

• c + s = 6
  14.80c + 17s = 91
• c + s = 91
  14.80c + 17s = 6
• c + s = 6
  14.80s + 17c = 91
• c + s = 91
  14.80s+ 17c = 6

Tags

CCSS.HSA.CED.A.3

Beyonce wanted to host a barbecue for Spring Break next week. A package of hot dogs cost $1.60, and a package of hamburgers costs $5. Beyonce bought a total of 8 packages of meat and spent $23 total. Write a system for this situation. Assume "x" represents # of hot dog packages and "y" represent # of hamburger packages.

• x + y = 8
  1.60x + 5y = 23
• x + y = 23
  1.60x + 5y = 8
• x + y = 8
  1.60y + 5x = 23
• x + y = 23
  1.60y + 5x = 8

Tags

CCSS.8.EE.C.8C

What is the solution to this system of equations?

• (1,4)
• (4,1)
• (3,5)
• (-1, 4)

Tags

CCSS.8.EE.C.8B

Michelangelo decided to order Pizza Hut last night. He purchased 3 pizzas and 2 orders of breadsticks for a total of $29.50. Donatello ordered 2 pizzas and 3 orders of breadsticks last Sunday for a total of $23. Let "p" represent the price per pizza and "b" represent the price of an order of breadsticks. Find the cost of purchasing a pizza?

• $8.50

• $2

• $15

• $23

Tags

CCSS.8.EE.C.8C

There are 15 animals in a barn.  These animals are horses and chickens.  There are 44 legs in all.  Which system of equations represents the situation?

• x + y = 15
  4x + 2y = 44
• 4x + 2y = 15
  x + y = 44
• x = 2y + 44
  4x = y + 15
• 2x - 4y = 44
  x - y = 15

Tags

CCSS.8.EE.C.8C

You and a friend went to Los Tios for lunch. You order 2 tacos and 2 enchiladas. Your friend ordered 3 tacos and 1 enchilada. Your friend's bill was $4.00. You paid $4.80. Let "t" represent the price per taco and "e" represent the price per enchilada. What is the price of the enchiladas?

• $0.80

• $4

• $1.60

• $2.60

Tags

CCSS.8.EE.C.8C

The sum of Mr. Might and Ms. Might's age is 55.  The difference is 3.  What are their ages?

• {30. 25}

• {25, 30}

Tags

CCSS.8.EE.C.8C