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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Factor the expression.
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1
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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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A | 16 | B |  | C | 512 | D | 4,096 |
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5
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Simplify the expression.
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6
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7
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8
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Find the zeros of  and state the
multiplicity.
A | –5, multiplicity 4; –2, multiplicity
3 | B | 4, multiplicity –5; –2, multiplicity
3 | C | 4, multiplicity –5; 3, multiplicity
–2 | D | –5, multiplicity 4; 3, multiplicity
–2 |
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9
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Write the exponential expression  in
radical form.
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Graph the function.
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10
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11
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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 | –0.19, 1.32 | C | –0.38, 2.63 | B | –0.75, 0.75 | D | –1.32,
0.19 |
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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, 4);
y-intercept: –5 | C | vertex: (3,
–4);
y-intercept: 13 | B | vertex: (–3,
–4);
y-intercept: –9 | D | vertex: (3, 4);
y-intercept: –5 |
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14
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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 = 14
y – x =
70
37 and 29 | C | x + y = 70
x
– y = 14
42 and 28 | B | x –
y = 70
x + y = 14
41 and 29 | D | x + y
= 70
x – y = 14
37 and 23 |
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15
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Write  in simplest form.
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Solve the linear system.
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16
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A | (–1, –4) | B | (–4, –1) | C | (4, 1) | D | (1,
4) |
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Solve the equation by
factoring.
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17
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A | z = 5 or z = 1 | C | z = 5 or z =
–1 | B | z = –5 or z = 1 | D | z = –5 or z =
–1 |
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18
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Write a polynomial function in standard form with
zeros at –1, –5, and 3.
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19
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The length of a rectangle is 7 cm more than four
times the width. If the perimeter of the rectangle is 44 cm, what are its dimensions?
A | length = 3 cm; width = 19 cm | C | length = 5 cm; width = 10
cm | B | length = 19 cm; width = 3 cm | D | length = 19 cm; width = 10 cm |
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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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20
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Find the pH level, to the nearest tenth, of a
liquid with [H+] about  .
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21
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Find the zeros of  . Then graph the
equation.
A | 0, 5, –4
 | C | 5, –4, –5
 | B | 0, –5, 4
 | D | 5,
–4
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22
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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 | 124.5 decibels | C | 116.3
decibels | B | 136.3 decibels | D | 42.6
decibels |
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23
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Write 2x3 –
6x2 – 36x in factored form.
A | 3x(x – 6)(x + 2) | C | 2x(x –
6)(x – 3) | B | 2x(x + 3)(x –
6) | D | –6x(x
+ 2)(x + 3) |
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Write a function rule for the
table.
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24
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Write the number in the form a +
bi.
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25
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26
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Find  .
A | 6 | B | 24 | C |  | D |  |
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27
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Suppose you invest $2000 at an
annual interest rate of 7.7% compounded continuously. How much will you have in the account after 7.5
years?
A | $3,139.62 | B | $32,396.49 | C | $3,563.16 | D | $16,200.63 |
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28
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Solve  . Round to the nearest
thousandth.
A | 4.695 | B | 14.086 | C | 22.086 | D | 8.695 |
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29
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A ball is thrown into the air with an upward
velocity of 44 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 | 2.75 s; 10 ft | B | 1.38 s;
40.25 ft | C | 1.38 s; 100.75 ft | D | 1.38 s;
48.5 ft |
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30
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Solve  .
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31
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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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32
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Evaluate  for x =
–3.
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33
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An initial population of 175 quail increases at an
annual rate of 24%. Write an exponential function to model the quail population.
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Use the quadratic formula to solve the equation.
If necessary, round to the nearest hundredth.
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34
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A | –1.63, 1.38 | B | –18.25, 18 | C | –3.26, 2.76 | D | –1.38,
1.63 |
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35
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What is the solution of the system of
equations?
y = –3x + 9
y = –4x – 4
A | (48, –13) | B | (–13, 48) | C | (5, –24) | D | (–1.86,
14.57) |
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Solve the equation using the zero-product
property.
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36
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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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