Graphing Systems of Linear Equations Word Problems

These two lines intersect at _____

• (4, -2)

• (4, 2)

• (-2, 4) 

• No solution

Tags

CCSS.8.EE.C.8B

CPA is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used?

• 1s + 3c = 38 2s + 3c = 52

• 3s + 1c = 38 3s + 2c = 52

• s + c = 38 s + c = 52

• 3s + 3c = 38 1s + 2c = 52

Tags

CCSS.HSA.CED.A.3

A large pizza at Rocky Lake Pizza costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Rocky Lake 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 = 6.80+.90x y = 7.30 + .65x

• y + .90x = 6.80 y + .65x = 7.30

Tags

CCSS.8.EE.C.8C

Ella and Jane are selling items at the craft show.  Which might be a reasonable solution from the graph showing the number of items sold when they both have earned the same amount?

• (1, 12)

• (3, 19)

• (5, 25)

• (0, 10)

Tags

CCSS.8.EE.C.8B

What is the solution to the system?

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)

Tags

CCSS.8.EE.C.8B

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?

• 1.5x+0.5y=78.5
  x+y=87

• 1.5x+0.5y=78.5
  1.5x+0.5y=87

• x+y=78.5
  1.5x+0.5y=87

• x+y=78.5
  x+y=87

Tags

CCSS.HSA.CED.A.3

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

Kate is selling bracelets and earrings on Etsy to make money for summer vacation. The bracelets (x) cost $2 and earrings (y) cost $3. She needs to make at least $100, but can only make up to 40 pieces of jewelry. Which inequalities represent this situation?

• 2x + 3y > 100

  x + y ≤ 40

• 100x + 2y > 3

  x + y ≤ 40

• 100x + 40y > 100

  3x + 2y ≤ 40

• 3x + 2y > 100

  x + y ≤ 40

Which of the following system of inequalities represents the graph above?

• 3x-y<-4

  2x+y<-3

• 3x-y>-4

  2x+y>-3

• 3x-y≤-4

  2x+y≤-3

• 3x-y≥-4

  2x+y≥-3

Tags

CCSS.HSA.REI.D.12

Which point is a solution?

• (0, 6)

• (-3, 4)

• (1, 0)

• (-4, 3)

Tags

CCSS.HSA.REI.D.12