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Short Quiz in Math 8 olves problems involving systems of linear equations in two variables

Quiz by Quizalize Premium (Philippines)

Grade 8
Mathematics
Philippines Curriculum: Grades 1-10

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5 questions
Show answers
  • Q1
    The school that Stefan goes to 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?
    3s + 1c = 38 3s + 2c = 52
    3s + 3c = 38 1s + 2c = 52
    1s + 3c = 38 2s + 3c = 52
    30s
    M8AL-Ij-2
  • Q2
    Last season two running backs on the Steelers football team rushed a combined total of 1550 yards. One rushed 4 times as many yards as the other. Let x and y represent the number of yards each individual player rushed. Which system of equations could be used?
    y - x = 1550 y = 4x
    y = 1550 + x y = x + 4
    x + y = 1550 y = 4x
    x + y = 1550 y = x + 4
    30s
    M8AL-Ij-2
  • Q3
    Dennis mowed his next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all. Upon completing the job he counted out the coins and it came to $6.60. Which system of equations could be used to find the exact number of dimes and nickels?
    d + n = 80 .10d + .05n = 6.60
    d + n = 80 .05d + .10n = 6.60
    d + n = 80 d + n = 6.60
    d + n = 6.60 .10d + .05n = 80
    30s
    M8AL-Ij-2
  • Q4
    On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office 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
    c + d = 5 5c + 10d = 16.50
    c + d = 10 5c + 10d = 16.50
    10c + 5d = 16.50 5c + 10d = 14.25
    30s
    M8AL-Ij-2
  • Q5
    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+.90x y = 7.30 + .65x
    y + .90x = 6.80 y + .65x = 7.30
    x + y = 6.80 x + y = 7.30
    y = 6.80 + .65x y=7.30+.90x
    30s
    M8AL-Ij-2

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