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Functions

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  • Which set or sets represent functions?

    Set M only
    Sets M and N only
    Sets M and R only
    Sets M, N, and R


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  • Dianne and Jan planned a cycling trip along the Natchez Trace. The equation can be used to determine d, the distance in miles that they could travel for t hours at a rate of 10 miles per hour.
    d = 10t
    How many miles could they travel if they rode for 2 hours?

    5 miles
    12 miles
    20 miles
    102 miles


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  • The Pearl High School Band traveled by bus to Washington, D.C. to march in the
    2001 Inaugural Parade. Assume that the graph shows y, the total distance the bus had traveled after x hours. Which of these equations BEST describes the information given by the graph?

    y = x + 55
    y = 55x
    y = 2x +110


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  • What is the equation in slope-intercept form for the line that passes through the
    point (8, –3) and has a y-intercept of –2?



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  • A girls’ club was planning a trip to Florida for spring break. The van they want to rent travels about 15 miles for each gallon of gas. Which of these is CLOSEST to the number of gallons of gas they will need for the trip, a total of 1380 miles?

    9.2 gallons
    92 gallons
    204 gallons
    20,400 gallons


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  • What is the slope of the line containing the points (5, -8) and (-5, 8)?

    Undefined
    -8/5
    0
    8/5


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  • The following set of ordered pairs, (n, p), represents p, the monthly profit of a store for four different months based on n items sold each month:

    {(1000, 4000), (2000, 10,000), (3000, 16,000), (4000, 22,000)}

    Which of these could represent the relationship between n and p in the ordered
    pairs of the set?


    p = 6n - 2000
    p = n + 6000
    p = n +1000
    p = 5000 - 6n


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  • At sporting events, the number of first aid workers needed depends on how many people attend the event. This table shows the number needed for various numbers of people attending

    Based on thie information in this table, if there were 12 first aid workers at the event, how many people are attending the event? 


    1,500

    1,800

    1,900

    2,000



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  • Marlee rented a paddleboat at the park for a fixed charge of $2.50 plus $1.50 per hour. She wants to stay out on the water as long as possible. How many hours can she use the boat without spending more than $7.00?

    2.5 hr
    3 hr
    4 hr
    4.5 hr


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  • Isabel wants to mail a letter to her cousin in Chicago. The cost of sending mail first class is $0.33 for the first ounce and $0.22 for each additional ounce. Which expression represents the cost in dollars of mailing a first class letter weighing x additional ounces?



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  • A tree farm charges $75.00 for a 5-foot orange tree and $50.00 for delivery regardless of the number of trees purchased. Which equation expresses the total cost, C, in terms of the number of 5-foot trees, t, purchased?

    C = 75 + 50t
    C = 75t + 50
    C = 75t + 5
    C = 75 + 5t


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  • Which equation could represent the relationship between x and y in the T-chart shown below?

    y = x + 2
    y = 4x – 1
    y = 2x + 1
    y = 5x – 2


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  • Which graph represents a linear function of x?



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  • A popular word processing software package costs $120.00. It costs $25.00 more than twice the cost of a less popular software package. The cost of the less popular package (c) can be represented by 2c + 25 = 120. What is the price of the less popular software package?

    $190.00
    $107.50
    $72.50
    $47.50


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  • What is the slope of the line passing through the points (1, 3) and (5, 0)?

    –4 3
    –3 4
    3 4
    4 3


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  • Pippi calculates her total earnings for the month with the equation E = 15m + 5b, where E is the total number of dollars she earns, m is the number of lawns she mows, and b is the number of hours she baby-sits.If Pippi mows 6 lawns, how many hours must she baby-sit to earn a total of $200?

    20
    22
    40
    45


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  • For the equation y = 6x – 3, what value of y corresponds to x = – 4?

    21
    –21
    27
    –27


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  • Which equation represents the graph?



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  • Which table gives solutions for the equation



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