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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1
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Solve  . Round to the nearest
thousandth.
A | 51.598 | B | 55.598 | C | 19.199 | D | 17.199 |
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Graph the function.
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2
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3
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Simplify the expression.
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4
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5
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6
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Write the exponential expression  in
radical form.
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7
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Identify the vertex and the y-intercept
of the graph of the function  .
A | vertex: (–2, 3);
y-intercept: –1 | C | vertex: (2,
3);
y-intercept: –1 | B | vertex: (2, –3);
y-intercept:
7 | D | vertex: (–2,
–3);
y-intercept: –4 |
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8
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What is the solution of the system of
equations?
y = x + 1
y = 2x – 9
A | (3.33, 4.33) | B | (8, 7) | C | (10, 11) | D | (11,
10) |
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Simplify the expression.
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9
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A | 9 | B | 729 | C |  | D | 19,683 |
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10
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11
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Write  in simplest form.
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12
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Find  .
A |  | B | 0 | C |  | D | 0 |
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Factor the expression.
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13
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14
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15
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16
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The length of a rectangle is 6 cm more than four
times the width. If the perimeter of the rectangle is 92 cm, what are its dimensions?
A | length = 38 cm; width = 8 cm | C | length = 8 cm; width = 38
cm | B | length = 26 cm; width = 14 cm | D | length = 38 cm; width = 14
cm |
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17
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A ball is thrown into the air with an upward
velocity of 28 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 | 0.88 s; 20.5 ft | B | 0.88 s;
22.25 ft | C | 1.75 s; 10 ft | D | 0.88 s;
46.75 ft |
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Solve the equation by
factoring.
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18
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A | z = –4 or z = 2 | C | z = –4 or z =
–2 | B | z = 4 or z = 2 | D | z = 4 or z = –2 |
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19
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The sum of two numbers is 70. Their difference is
14. Write a system of equations that describes this situation. Solve by elimination to find the two
numbers.
A | x – y = 70
x + y =
14
41 and 29 | C | x + y = 70
x
– y = 14
42 and 28 | B | x + y
= 14
y – x = 70
37 and 29 | D | x + y
= 70
x – y = 14
37 and 23 |
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20
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Use a graphing calculator to solve the equation
 . If necessary, round to the nearest hundredth.
A | –0.56, 0.56 | C | –1.31, 0.91 | B | –0.46, 0.66 | D | –0.66,
0.46 |
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21
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Write 5x3 –
50x2 + 125x in factored form.
A | –5x(x – 5)(x + 5) | C | 5x(x –
5)(x + 5) | B | –5x(x + 5)(x – 5) | D | 5x(x – 5)(x –
5) |
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22
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Evaluate  for x =
–2.
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23
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Write a polynomial function in standard form with
zeros at –2, –3, and –5.
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Solve the linear system.
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24
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A | (0, 1) | B | (3, –1) | C | (–1, 3) | D | (1,
0) |
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Write a function rule for the
table.
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25
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26
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Find the zeros of  . Then graph the
equation.
A | –2, –4, 2
 | C | 0, –2, –4
 | B | 0, 2, 4
 | D | –2, –4
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27
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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 | 113.8 decibels | C | 106
decibels | B | 146 decibels | D | 39.9
decibels |
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28
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Solve  .
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Write the number in the form a +
bi.
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29
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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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30
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Find the pH level, to the nearest tenth, of a
liquid with [H+] about  .
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31
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Suppose you invest $300 at an
annual interest rate of 7.3% compounded continuously. How much will you have in the account after 3
years?
A | $178.59 | B | $373.45 | C | $1,867.57 | D | $968.16 |
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Use the quadratic formula to solve the equation.
If necessary, round to the nearest hundredth.
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32
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A | 2, –3.2 | B | 16.6, –17.2 | C | 1, –1.6 | D | 1.6,
–1 |
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33
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An initial population of 400 quail increases at an
annual rate of 6%. Write an exponential function to model the quail population.
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34
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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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35
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Find the zeros of  and state the
multiplicity.
A | 5, multiplicity 2; 6, multiplicity
5 | B | 2, multiplicity 5; 5, multiplicity
6 | C | 5, multiplicity 2; 5, multiplicity
6 | D | 2, multiplicity 5; 6, multiplicity
5 |
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Solve the equation using the zero-product
property.
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36
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A | n = 0 or n =  | C | n =  or
n =  | B | n =  or n =
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n =  |
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