Indiana State Indicators
Graphing
Calculators are recommended!
This assessment covers the following state indicators: A1.4.1,
A1.4.6, A2.1.2, A2.1.4, A2.2.3, A2.3.1, A2.3.3, and A2.3.5.
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Write the number in the form a +
bi.
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1
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2
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Suppose you have 56 feet of fencing to enclose a
rectangular dog pen. The function  , where x = width, gives you the area of
the dog pen in square feet. What width gives you the maximum area? What is the maximum area? Round to
the nearest tenth as necessary.
A | width = 14 ft; area = 196 ft2 | C | width = 14 ft; area = 588
ft2 | B | width = 28 ft; area = 196 ft2 | D | width = 28 ft; area = 420
ft2 |
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3
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Find  .
A | –12 | B | –6 | C |  | D |  |
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4
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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 40 cm, what are its dimensions?
A | length = 7 cm; width = 8 cm | C | length = 3 cm; width = 17
cm | B | length = 17 cm; width = 3 cm | D | length = 17 cm; width = 8 cm |
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Write the linear inequality shown in the
graph.
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5
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Use the quadratic formula to solve the equation.
If necessary, round to the nearest hundredth.
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6
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A | 4, 3 | B | –3, –4 | C | –3, –4 | D | –6,
–8 |
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Simplify the expression.
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7
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8
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9
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Identify the vertex and the y-intercept
of the graph of the function  .
A | vertex: (3, –5);
y-intercept: 14 | C | vertex: (3,
5);
y-intercept: –22 | B | vertex: (–3,
–5);
y-intercept: –27 | D | vertex: (–3, 5);
y-intercept:
–22 |
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10
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Graph the equation  by finding the
intercepts.
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Graph the inequality.
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11
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12
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Evaluate  for x =
–1.
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13
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What is the solution of the system of equations?
y = x +
4
y = 3x – 2
A | (–1, –5) | B | (1.5, 5.5) | C | (7, 3) | D | (3,
7) |
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14
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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 using the zero-product property.
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15
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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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16
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Use the slope and y-intercept to graph the equation.
y =
 x – 1
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Solve the equation by
factoring.
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17
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A | z = 8 or z = –8 | C | z = –8 or z =
8 | B | z = 8 or z = 8 | D | z = –8 or z = –8 |
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Write a function rule for the
table.
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18
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Graph the equation.
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19
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y = –2
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Solve the linear system.
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20
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A | (–1, 3) | B | (3, –1) | C | (1, 0) | D | (0,
1) |
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