Indiana State Indicators
This
assessment covers the following state indicators: A2.1.2, A2.1.4, A2.1.5, A2.2.3, A2.3.1, A2.3.3,
A2.3.5, A2.5.3, A2.6.1, A2.7.4, and A2.7.8.
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Solve the equation using the zero-product
property.
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1
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A | n =  or n =  | C | n = 0 or
n =  | B | n = 0 or n =  | D | n =  or n =  |
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2
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Write the exponential expression  in
radical form.
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Graph the function.
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3
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4
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Solve the equation by
factoring.
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5
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A | z = 8 or z = 1 | C | z = 8 or z =
–1 | B | z = –8 or z = 1 | D | z = –8 or z =
–1 |
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Factor the expression.
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6
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7
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8
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9
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The length of a rectangle is 2 cm more than four
times the width. If the perimeter of the rectangle is 84 cm, what are its dimensions?
A | length = 34 cm; width = 8 cm | C | length = 34 cm; width = 10
cm | B | length = 8 cm; width = 34 cm | D | length = 30 cm; width = 10 cm |
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10
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Let  and  . Find  and its domain.
A |  ; all real numbers except x =  | B |  ; all real numbers except
x =  | C |  ; all real
numbers | D |  ; all real numbers |
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11
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Write  in simplest form.
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12
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Use a graphing calculator to solve the equation
 . If necessary, round to the nearest hundredth.
A | –1.14, 4 | C | –1.29, 1.29 | B | –0.57, 2 | D | –2, 0.57 |
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13
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Identify the vertex and the y-intercept
of the graph of the function  .
A | vertex: (3, 5);
y-intercept: 4 | C | vertex: (–3,
5);
y-intercept: 27 | B | vertex: (–3,
–5);
y-intercept: 22 | D | vertex: (3, –5);
y-intercept: 22 |
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14
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Find the zeros of  . Then graph the
equation.
A | –4, –2
 | C | –4, –2, 4
 | B | 0, –4, –2
 | D | 0, 4, 2
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15
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A construction explosion has an intensity I
of  W/m2. Find the loudness of the sound
in decibels if  and  W/m2. Round to the
nearest tenth.
A | 159.6 decibels | C | 99.6
decibels | B | 112 decibels | D | 90.7
decibels |
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Write the number in the form a +
bi.
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16
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17
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Write a polynomial function in standard form with
zeros at –2, 5, and 4.
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18
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The sum of two numbers is 79. Their difference is
35. Write a system of equations that describes this situation. Solve by elimination to find the two
numbers.
A | x + y = 79
x – y =
35
57 and 22 | C | x + y = 79
x
– y = 35
52 and 17 | B | x –
y = 79
x + y = 35
56 and 23 | D | x + y
= 35
y – x = 79
52 and 23 |
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19
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Solve  .
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20
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Solve  . Round to the nearest
thousandth.
A | 6.521 | B | 3.521 | C | 18.586 | D | 26.086 |
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Simplify the expression.
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21
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A | 9 | B | 729 | C | 19,683 | D |  |
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22
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Write a function rule for the
table.
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23
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24
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An initial population of 670 quail increases at an
annual rate of 12%. Write an exponential function to model the quail population.
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The pH of a liquid is a measure of how acidic or
basic it is. The concentration of hydrogen ions in a liquid is labeled  . Use the
formula  to answer questions about
pH.
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25
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Find the pH level, to the nearest tenth, of a
liquid with [H+] about  .
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Simplify the expression.
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26
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27
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28
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Find the zeros of  and state the
multiplicity.
A | 2, multiplicity –2; –3, multiplicity
5 | B | 2, multiplicity –2; 5, multiplicity
–3 | C | –2, multiplicity 2; 5, multiplicity
–3 | D | –2, multiplicity 2; –3, multiplicity
5 |
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29
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A ball is thrown into the air with an upward
velocity of 40 ft/s. Its height h in feet after t seconds is given by the function  .
a. In how
many seconds does the ball reach its maximum height? Round to the nearest hundredth if
necessary.
b. What is the ball’s maximum height?
A | 1.25 s; 32 ft | B | 1.25 s;
82 ft | C | 2.5 s; 7 ft | D | 1.25 s;
37 ft |
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30
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Evaluate  for x =
2.
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31
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Find  .
A | 0 | B |  | C |  | D | 0 |
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32
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What is the solution of the system of
equations?
y = –4x + 9
y = –x – 6
A | (–11, 5) | B | (5, –11) | C | (–1, –5) | D | (–3,
21) |
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Solve the linear system.
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33
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A | (5, –3) | B | (0, –5) | C | (–5, 0) | D | (–3,
5) |
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34
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Write 3x3 –
21x2 + 30x in factored form.
A | 3x(x – 5)(x – 2) | C | –2x(x +
3)(x – 5) | B | –5x(x – 2)(x +
3) | D | 3x(x
– 2)(x + 5) |
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35
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Suppose you invest $500 at an
annual interest rate of 5.5% compounded continuously. How much will you have in the account after 8
years?
A | $776.35 | B | $598.02 | C | $6,933.01 | D | $4,226.16 |
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Use the quadratic formula to solve the equation.
If necessary, round to the nearest hundredth.
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36
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A | –1.87, 5.87 | B | –28, 32 | C | –5.87, 1.87 | D | –3.75,
11.75 |
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