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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Write a function rule for the
table.
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1
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Solve the equation using the zero-product
property.
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2
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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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Factor the expression.
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3
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4
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5
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Solve the linear system.
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6
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A | (5, 2) | B | (–2, –5) | C | (2, 5) | D | (–5,
–2) |
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7
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Solve  . Round to the nearest
thousandth.
A | 203.214 | B | 404.929 | C | 400.429 | D | 200.214 |
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8
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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 | 145.3 decibels | C | 105.3
decibels | B | 112.2 decibels | D | 33.8
decibels |
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9
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What is the solution of the system of
equations?
y = 5x + 7
y = 2x – 8
A | (–0.33, –8.67) | B | (–5, –18) | C | (2.14,
17.71) | D | (–18, –5) |
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10
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Write 5x3 +
20x2 – 60x in factored form.
A | 5x(x + 6)(x + 2) | C | –2x(x +
6)(x + 5) | B | 5x(x – 2)(x + 6) | D | 6x(x + 5)(x –
2) |
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11
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The sum of two numbers is 73. Their difference is
9. Write a system of equations that describes this situation. Solve by elimination to find the two
numbers.
A | x – y = 73
x + y =
9
40 and 33 | C | x + y = 73
x – y =
9
36 and 27 | B | x + y
= 9
y – x = 73
36 and 33 | D | x + y
= 73
x – y = 9
41 and 32 |
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12
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The length of a rectangle is 5 cm more than four
times the width. If the perimeter of the rectangle is 90 cm, what are its dimensions?
A | length = 8 cm; width = 37 cm | C | length = 37 cm; width = 13
cm | B | length = 37 cm; width = 8 cm | D | length = 27 cm; width = 13 cm |
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13
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Use a graphing calculator to solve the equation
 . If necessary, round to the nearest hundredth.
A | 6.35, –1.68 | C | 3.17, –0.84 | B | 2.01, –2.01 | D | 0.84,
–3.17 |
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Simplify the expression.
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14
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15
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A | 4 | B |  | C | 512 | D | 64 |
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16
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An initial population of 505 quail increases at an
annual rate of 25%. Write an exponential function to model the quail population.
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17
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A ball is thrown into the air with an upward
velocity of 32 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 s; 24 ft | B | 2 s; 8
ft | C | 1 s; 56 ft | D | 1 s; 24
ft |
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18
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Suppose you invest $300 at an
annual interest rate of 2.1% compounded continuously. How much will you have in the account after 1.5
years?
A | $459.55 | B | $309.60 | C | $555.16 | D | $25.69 |
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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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19
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Find the pH level, to the nearest tenth, of a
liquid with [H+] about  .
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Write the number in the form a +
bi.
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20
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21
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Write  in simplest form.
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Simplify the expression.
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22
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23
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Graph the function.
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24
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25
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26
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Find the zeros of  and state the
multiplicity.
A | –3, multiplicity 5; 2, multiplicity
5 | B | 5, multiplicity –3; 5, multiplicity
2 | C | 5, multiplicity –3; 2, multiplicity
5 | D | –3, multiplicity 5; 5, multiplicity
2 |
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27
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Evaluate  for x =
–2.
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28
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Write a polynomial function in standard form with
zeros at 2, 4, and 3.
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29
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Find  .
A |  | B | –2 | C |  | D | –12 |
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30
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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: 8 | B | vertex: (2, –3);
y-intercept:
5 | D | vertex: (–2,
–3);
y-intercept: 5 |
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31
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Find the zeros of  . Then graph the
equation.
A | 0, 4, –3
 | C | 4, –3, –4
 | B | 4, –3
 | D | 0, –4,
3
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32
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Solve  .
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Use the quadratic formula to solve the equation.
If necessary, round to the nearest hundredth.
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33
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A | 2.64, –16.64 | B | 1.32, –8.32 | C | 8.32, –1.32 | D | 43,
–50 |
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34
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Write the exponential expression  in
radical form.
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35
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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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Solve the equation by
factoring.
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36
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A | z = –3 or z = 5 | C | z = –3 or z =
–5 | B | z = 3 or z = –5 | D | z = 3 or z =
5 |
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