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Systems of Equations

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  • Given y = x + 2 and y = -2x + 5 which point is the solution to both equations?

    which point is the solution to both equations?

    (1,3)

    (–1,3)

    (–1,–3)

    (1,–3)


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  • Doug and Laura sold cans of soda to raise money for a school dance. Doug sold 4 less than 3 times as many cans as Laura. Together they sold 300 cans. Which system of equations could be used to determine d, the number of cans Doug sold, and l, the number of cans Laura sold?

    d, the number of cans Doug sold, and l, the number of cans Laura sold?


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  • Solve the system of equations below.

    x + y = 5
    -4x - 2Y + -8

    Which point on the graph shown is the solution to the system of linear equations?


    W
    X
    Y
    Z


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  • Chris recently accepted a job as an auto salesman for Magnolia Autos. His employer allowed him to choose one of these wage plans in order to determine w, his total weekly salary:
    Plan 1: $500 per week plus 5% of s, his total sales for the week
    Plan 2: $400 per week plus 6% of s, his total sales for the week

    Which pair of equations could be solved to determine the value of s total sales for
    which w total wages would be the same for both plans?


    w = 500 – 5s
    w = 400 – 6s
    w = 500 + 5s
    w = 400 + 6s
    w = 500 + 0.05s
    w = 400 + 0.06s
    w = 500 – 0.05s
    w = 400 – 0.06s


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  • A telephone manufacturing company has determined that the cost of producing a certain type of telephone can be found by using the equation y = 42x + 2,000, where y is the production cost and x is the number of telephones produced. The company accountant calculates an average daily production cost of $8,426. Approximately how many telephones does the company produce daily?

    153
    248
    6,426
    355,892


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  •


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  • Dailene has 30 CD’s and buys 2 new ones every week. Renae has 18 CD’s and buys 4 new ones every week. After how many weeks will Renae and Dailene have the same number of CD’s?

    3
    6
    8
    They won’t ever have the same number of CD’s.


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  • The members of the student council decoration committee bought 45 bags of streamers to decorate the gym for the prom. If each bag of streamers had cost
    10 cents less, they could have bought 5 more bags. What was the cost of one bag
    of streamers?

    $0.45
    $0.50
    $0.60
    $1.00


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  • Which pair of equations shares a solution?


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  • What is the y-value of the solution to the following system of linear equations? y = x + 8, x + 2y = 1

    -7
    -5
    3
    13


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  • Mrs. Delgado purchased notebooks at 2 for $5.00 and pens at $2.00 per package. She spent $19.00 for a total of 8 items. Which system of equations below could be used to find n, the number of notebooks, and p, the number of packages of pens, that Mrs. Delgado purchased?


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  • A system of equations is shown. What is the solution to the system of equations?

    x = 1, y = 1
    x = 3, y = 5
    x = 7, y = –1
    x = 19, y = 1


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  • For every lawn that she mows, Jane charges $8 per hour for every hour that she works. For each lawn that he mows, Bob charges a fixed fee of $20 and an additional $5 for every hour that he works. What is the fewest number of hours that both could work so that Jane’s total pay for a lawn will be greater than Bob’s?

    1 hour
    5 hours
    6 hours
    7 hours


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  • Sara ordered 2 slices of pizza and a 12-ounce cola and paid $3.00. Sydney ordered 3 slices of pizza and 2 12-ounce colas for $4.75. How much does a slice of pizza cost?

    0.5
    1
    1.25
    2.5


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