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Practice Test - DQA #2 Algebra 2 (2007 - 2008)



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.
 
 
Solve the linear system.
 

 1 

mc001-1.jpg
A
(–1, 3)
B
(1, –3)
C
(3, –1)
D
(–3, 1)
 
 
Write the number in the form a + bi.
 

 2 

mc002-1.jpg
A
mc002-2.jpg
C
mc002-4.jpg
B
mc002-3.jpg
D
mc002-5.jpg
 
 
Graph the inequality.
 

 3 

mc003-1.jpg
A
mc003-2.jpg
C
mc003-4.jpg
B
mc003-3.jpg
D
mc003-5.jpg
 

 4 

Let mc004-1.jpg and mc004-2.jpg. Find mc004-3.jpg and its domain.
A
mc004-4.jpg; all real numbers
B
mc004-5.jpg; all real numbers
C
mc004-6.jpg; all real numbers except x = mc004-7.jpg
D
mc004-8.jpg; all real numbers except x = mc004-9.jpg
 

 5 

Graph the equation mc005-1.jpg by finding the intercepts.
A
mc005-2.jpg
C
mc005-4.jpg
B
mc005-3.jpg
D
mc005-5.jpg
 

 6 

Use the slope and y-intercept to graph the equation.
y
= mc006-1.jpgx + 3
A
mc006-2.jpg
C
mc006-4.jpg
B
mc006-3.jpg
D
mc006-5.jpg
 
 
Write the linear inequality shown in the graph.
 

 7 

mc007-1.jpg
A
mc007-2.jpg
B
mc007-3.jpg
C
mc007-4.jpg
D
mc007-5.jpg
 
 
Simplify the expression.
 

 8 

mc008-1.jpg
A
mc008-2.jpg
C
mc008-4.jpg
B
mc008-3.jpg
D
mc008-5.jpg
 

 9 

mc009-1.jpg
A
–32
B
32i
C
–32i
D
32
 
 
Solve the equation using the zero-product property.
 

 10 

mc010-1.jpg
A
n = mc010-2.jpg or n = mc010-3.jpg
C
n = 0 or n = mc010-6.jpg
B
n = mc010-4.jpg or n = mc010-5.jpg
D
n = 0 or n = mc010-7.jpg
 
 
Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth.
 

 11 

mc011-1.jpg
A
–14, 11.33
B
–5.57, 0.24
C
–0.12, 2.79
D
–2.79, 0.12
 

 12 

Find mc012-1.jpg.
A
mc012-2.jpg
B
mc012-3.jpg
C
–7
D
7
 

 13 

What is the solution of the system of equations?
y = x + 7
y = –x – 3
A
(2, –5)
B
(–5, 2)
C
(2, –5)
D
(0, 7)
 

 14 

Suppose you have 58 feet of fencing to enclose a rectangular dog pen. The function mc014-1.jpg, 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 = 14.5 ft; area = 210.3 ft2
C
width = 29 ft; area = 449.5 ft2
B
width = 14.5 ft; area = 630.8 ft2
D
width = 29 ft; area = 210.3 ft2
 
 
Solve the equation by factoring.
 

 15 

mc015-1.jpg
A
z = 9 or z = –4
C
z = 9 or z = 4
B
z = –9 or z = 4
D
z = –9 or z = –4
 

 16 

The length of a rectangle is 9 cm more than four times the width. If the perimeter of the rectangle is 78 cm, what are its dimensions?
A
length = 33 cm; width = 15 cm
C
length = 6 cm; width = 33 cm
B
length = 33 cm; width = 6 cm
D
length = 15 cm; width = 15 cm
 

 17 

Identify the vertex and the y-intercept of the graph of the function mc017-1.jpg.
A
vertex: (–2, –5);
y-intercept: –1
C
vertex: (–2, 5);
y-intercept: –1
B
vertex: (2, –5);
y-intercept: –1
D
vertex: (2, 5);
y-intercept: 4
 
 
Write a function rule for the table.
 

 18 


x
f(x)
–3
–6
–2
–5
–1
–4
0
–3
A
mc018-1.jpg
B
mc018-2.jpg
C
mc018-3.jpg
D
mc018-4.jpg
 

 19 

Evaluate mc019-1.jpg for x = –2.
A
7
B
–5
C
–7
D
–8
 
 
Graph the equation.
 

 20 

y = –2
A
mc020-1.jpg
C
mc020-3.jpg
B
mc020-2.jpg
D
mc020-4.jpg
 



 
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