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AZ - 1999 - Math - HS - Grade 10

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  • Twice the product of t and m is represented by which expression?

    2tm
    tm + 2
    2t/m
    t/m


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  • What is the slope of the line shown in the figure?


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  • What is 93,000,000 written in scientific notation?

    93 x 106
    93 x 107
    9.3 x 107
    9.3 x 106


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  • Which of these graphs correctly represents the equation shown:


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  • Simplify: (x + 7)(x - 4)

    2x + 3
    x2 - 28
    x2 - 3x - 28
    x2 + 3x - 28


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  • What is the product of (3xy2)(2x2y3)?

    5x3y6
    5x2y6
    6x2y6
    12x2y5


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  • Solve: 4(6x - 10) = 8x + 40

    0
    5/2
    25/8
    5


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  • Which of these arguments is valid?

    Figure ABCD is a rectangle, or figure ABCD is not a rectangle. Therefore, figure ABCD is a trapezoid.
    All freshmen take Algebra 1. John is taking Algebra 1. Therefore, John is a freshman.
    All rectangles are parallelograms. Figure ABCD is a parallelogram. Therefore, figure ABCD is a rectangle.
    The teacher said students could not receive an A in the class unless they got an A on the final exam. Ashley received an A in the class. Therefore, Ashley got an A on the final exam.


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  • The volume of a shipping container is given by the formula below. What is the value of h in terms of the other three variables?


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  • Which of these equations represents a line passing through (5, 3) and (-5, -3)?


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  • Dorothy and Simon are going to the movies. They can choose from Movie E, Movie F, and Movie G, but both of them will go to the same movie. What is the sample space for this situation?

    {EE, EF, EG, FE, FF, FG, GE, GF, GG}
    {EF, EG, FE, FG, GE, GF}
    {EE, FF, GG}
    {EF, GE}


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  • Which of these statements is true about the graphs of the equations below? y = 2x + 6 3y = 6x - 6

    The lines coincide
    The lines are parallel
    The lines are perpendicular
    The lines intersect, but are not perpendicular


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  • Alex is building a ramp for a bike competition. He has two rectangular boards. One board is 6 meters long and the other is 5 meters long. If the ramp has to form a right triangle, what should its height be?

    3 meters
    4 meters
    3.3 meters
    7.8 meters


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  • The length of a box is 100 inches, the width is 12 inches, and the height is 10 inches. What is the volume of the box?

    122 cubic inches
    1000 cubic inches
    1200 cubic inches
    12,000 cubic inches


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  • Which of the following is a secant of circle P?



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  • The graph below shows a bridge between two islands. If point M is the midpoint of PQ, and PM = 6 centimeters, what is the length of PQ?

    3 centimeters
    6 centimeters
    9 centimeters
    12 centimeters


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  • Which theorem can be used to prove that the triangles in the figure below are congruent?

    side-by-side (SSS)
    side-angle-side (SAS)
    angle-side-angle (ASA)
    angle-angle-side (AAS)


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  • Which statement is true about the graphs of these equations? y = 2x + 7 5y = 10x - 15

    The lines coincide
    The lines are parallel
    The lines are perpendicular
    The lines intersect, but are not perpendicular


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  • Aaron used the Pythagorean theorem to find the height of a tree. He calculated that the tree was √625 feet tall. Which of the following should be used to write the height of the tree?

    ± 25 feet
    25 feet
    –25 feet
    252 feet


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  • Which type of transformation is represented by the figures in the graph?

    reflection and translation
    reflection
    rotation
    dilation and rotation


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  • Which of the following transformations produces a figure similar but not congruent to the original one?

    A transformation that adds 1/2 to the x-coordinate and subtracts 1/2 from the y-coordinate of the vertices of a triangle
    A transformation that adds 2 to the x-coordinate and multiplies by 2 the y-coordinate of the vertices of a triangle
    A transformation that multiplies by 2 the x and y coordinates of the vertices of a triangle
    A transformation that adds 2 to the x-coordinate and divides by 2 the y-coordinate of the vertices of a triangle


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  • If three cubes with sides numbered from 1 through 6 are tossed, what is the probability that either all the cubes land on 3 or that all the cubes land on 4?


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  • The graph depicts a real-world situation. Which of the following situations could it depict?

    A person dove into the water
    A person jumped from a tree to the grass below
    A plane landed safely
    A plane crashed into the runway


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  • Which of these graphs correctly represents the inequality


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  • This graph shows some days' costs for natural gas used in a household over the last two months. If the pattern continues, about how much will the household spend on natural gas during the coming month?

    $50
    $60
    $70
    $80


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  • A carpenter sketched to scale the pattern for the decorative top for a new entertainment center. If the entertainment center is to be 72 inches wide, by what factor must he multiply all his measurements?

    4
    12
    24
    48


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  • Triangle LMN and triangle EFG are similar triangles. Triangle EFG is shown on the grid below. If the coordinates of point L are (4, 3) and the coordinates of point M are (4, 7), what are the coordinates of point N?

    (8, 3)
    (4, 6)
    (7, 3)
    (7, 2)


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  • Which of these conditional statements has a converse that is true?

    If it is raining, then there are clouds.
    If a quadrilateral is a square, then it has four equal sides.
    If it is not daytime, then you cannot see the sun.
    If a polygon has congruent angles, then it is regular.


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  • The table below shows the distance five students live from school. Which of the following conclusions can be drawn from the information?

    All the students live less than 2.0 miles from school
    All the students live less than 0.5 miles from school
    All the students live more than 2.0 miles from school
    All the students live between 1.0 and 2.0 miles from school.


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  • A 2-member committee will be selected from the 6 members of the high school student council to attend a rally in Washington, D.C. How many different 2-member committees are possible?

    12
    15
    30
    90


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  • The number, N, of bacteria in a test tube as a function of time, t, is given by the equation N = kert, where k is the initial population of bacteria, e is a numerical constant, and r is the rate of growth. Which of these is the independent variable?

    N
    k
    e
    t


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  • Solve:

    x = 0; x = 11
    x = 0, x = -1
    x = 1
    x = -1


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  • The list shows the road distances between some cities in the U.S. • The distance between Denver and Phoenix is 810 miles • The distance between Phoenix and Miami is 2350 miles • The distance between Miami and Denver is 2110 miles • The distance between Denver and Houston is 1030 miles • The distance between Houston and Phoenix is 1160 miles • The distance between Miami and Houston is 1190 miles Which of the following matrices correctly shows the information in the list?


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  • What is the matrix representation of the directed graph shown?


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  • A high school ecology class sampled fish in a lake to determine the relative populations of different species of fish. The results of the count are shown in the table, and the part of the lake that was sampled is shown as the darker region in the diagram shown. If the lake has an even depth and the fish are randomly distributed, which of these is the best estimate for the number of Species C fish in the lake?

    250
    320
    450
    600


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  • A landscaper fills a 30-foot drop-off so it will have a 30o slope, as shown in the drawing shown. What will the approximate length of the sloped surface be when the job is completed?

    15 feet
    35 feet
    52 feet
    60 feet


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  • Which of the following pairs of events are dependent events?

    A coin is tossed 2 times. Event A is that the coin lands heads facing up on the first toss. Event B is that the coin lands heads facing up the second time.
    A marble is randomly selected out of a bag containing red, green, and blue marbles. Event A is selecting a blue marble first. Event B is selecting a blue marble on the second try after the first marble is returned to the bag.
    A thumbtack falls on the floor. Event A is that the tack lands with the point facing up. Event B is that if the tack falls again, it lands with the point facing down.
    Event A is that a red candy is randomly selected from a bag of different-colored candies. Event B is that the second candy randomly selected is also red.


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