System of Equation Graph Word Problems

These two lines intersect at _____.

• (4, -2)
• (4, 2)
• (-2, 4) 
• No solution

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

Kaleb graphed two lines in order to find the solution to a given system of equations. What is the solution?

• (-3,-8)

• (-8,-3)

• (3,-8)

• (8,3)

On Monday Mr. MacLellan bought 10 cups of coffee and 5 doughnuts for the Math department 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

How many solutions?

• One Solution
• No solution
• Infinitely Many Solutions

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

At a restaurant the cost for a breakfast taco and a small glass of milk is $2.10. The cost for 2 tacos and 3 small glasses of milk is $5.15. If a system of equations is written, which would be the correct representation of the 2 variables? 

• t: # of tacos m: # of glasses of milk

• t: Cost of each taco m: Cost of each glass of milk

• t: total cost m: # of food items

• t: Cost of each glass of milk m: Cost of each taco

At a college bookstore, Kassie purchased a math textbook and a novel that cost a total of $54, not including tax. If the price of the math textbook, t, is $8 more than 3 times the price of the novel, n, which system of linear equations could be used to determine the price of each book?

• t + n = 54 t = 3n + 8

• t + n = 54 n = 3t + 8

• t + n = 54 t = 3n - 8

• t + n = 8 t = 3n + 54

Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount? 

• y = 9.65 + x
  y = 8.40 + x
• y = 9.65x + 43
  y = 8.40x + 58
• y =9.65x
  y = 8.40x
• y = 9.65x - 43
  y = 8.40x - 58

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)