State Indicators
The following state
indicators are tested: A1.2.2, A1.4.1, A2.1.2, A2.1.4, A2.2.2, A2.3.3, A2.3.4, A2.5.3, and
A2.6.1
Short Answer
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1
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Use any method that you choose to graph the linear equation.
y =  x + 3
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Use graph paper provided by your teacher to graph each linear equation in
problems 1 - 4 below.
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2
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y + 1 =  ( x – 2)
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3
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x = –3
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4
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Graph  .
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Multiple Choice - Answer all of the remaining
items by indicating the correct capital letter: ‘A,B,C, or D’.
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5
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Which function is a quadratic function?
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6
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Write the exponential expression  in radical form.
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Graph the function.
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7
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8
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y = 
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9
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Solve the system using elimination.
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10
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5x + y = –12
5x – y =
–18
A | (3, –3) | B | (1, 5) | C | (–3, 3) | D | (–2,
–2) |
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11
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Use a graphing calculator to solve the equation  . If
necessary, round to the nearest hundredth. A | 0.8, –0.8 | C | 0.25, –1.36 | B | 2.71, –0.49 | D | 1.36,
–0.25 |
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Solve the equation or formula for the indicated variable.
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12
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 , for U
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13
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 , for t
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14
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What value of y satisfies the system of equations
below?
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15
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Suppose  and  . Find the
value of  .
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Simplify the expression.
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16
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17
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18
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A | 9 | B |  | C | 19,683 | D | 729 |
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Factor the expression.
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19
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r2 – 49
A | (r – 7)(r + 7) | C | (r – 7)(r
– 7) | B | (r + 7)(r + 7) | D | (r – 7)(r + 9) |
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20
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d2 + 6d + 9
A | (d + 3)(d – 3) | C | (d – 3)(d
– 3) | B | (d + 3)(d + 3) | D | (d – 3)(d + 3) |
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21
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Let  and  . Find  and its domain. A | 3x + 2; all real numbers except x =
4 | B | –9x + 6; all real numbers except x =
4 | C | –3x + 2; all real numbers except x =
–4 | D | 9x – 6; all real numbers except x =
–4 |
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22
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The sum of two numbers is 81. Their difference is 7. Write a system of
equations that describes this situation. Solve by elimination to find the two numbers.
A | x + y = 81
x – y = 7
39 and 32 | C | x –
y = 81
x + y = 7
43 and 38 | B | x + y = 81
x –
y = 7
44 and 37 | D | x + y = 7
y – x = 81
39 and
38 |
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Solve the equation by factoring.
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23
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A | z = –9 or z = 1 | C | z = –9 or z =
–1 | B | z = 9 or z = –1 | D | z = 9 or z =
1 |
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24
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A | c = 0 or c = 10 | C | c = 0 or c =  | B | c = 0 or c = –10 | D | c = 1 or c = – |
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25
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A | z = 1 or z = –3 | C | z = 
or z = –3 | B | z = 1 or z = 3 | D | z =  or z
= 3 |
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26
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Identify the vertex of the graph. Tell whether it is a minimum or
maximum.  A | (0, –1); maximum | C | (–1, 0); maximum | B | (0, –1);
minimum | D | (–1, 0);
minimum |
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27
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Let  and  . Find
2 f( x) – 3 g( x).
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28
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Solve the area formula for a triangle,  bh, for
h.
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Use the quadratic formula to solve the equation. If necessary, round to the
nearest hundredth.
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29
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A | 3.52, –0.85 | B | 27.33, –30 | C | 0.85, –3.52 | D | 1.7,
–7.04 |
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30
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Let  and  . Find  and its domain. A | 3; all real numbers | B | 3; all real numbers except x = 2 | C | 1; all real numbers | D | –3; all real
numbers except x = 3 |
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31
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The formula  describes electrical energy,  ,
in terms of potential difference,  , resistance,  ,
and time,  . Solve the formula for  .
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Graph the exponential function.
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32
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33
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What is the solution of the system of equations?
y = –2x
+ 1
y = –x – 4
A | (–1.67, 4.33) | B | (–9, 5) | C | (5, –9) | D | (3,
–7) |
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Solve the equation.
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34
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Complete.
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35
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z2 + 10 z – 24 = ( z – 2)( z
+  )
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36
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Graph y = | x | – 6.
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