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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
(0, –2)
B
(–3, 2)
C
(–2, 0)
D
(2, –3)
 

 2 

Evaluate mc002-1.jpg for x = 3.
A
18
B
1
C
13
D
–1
 

 3 

The length of a rectangle is 8 cm more than four times the width. If the perimeter of the rectangle is 66 cm, what are its dimensions?
A
length = 12 cm; width = 13 cm
C
length = 28 cm; width = 5 cm
B
length = 5 cm; width = 28 cm
D
length = 28 cm; width = 13 cm
 
 
Write the linear inequality shown in the graph.
 

 4 

mc004-1.jpg
A
mc004-2.jpg
B
mc004-3.jpg
C
mc004-4.jpg
D
mc004-5.jpg
 
 
Solve the equation using the zero-product property.
 

 5 

mc005-1.jpg
A
n = mc005-2.jpg or n = mc005-3.jpg
C
n = 0 or n = mc005-5.jpg
B
n = 0 or n = mc005-4.jpg
D
n = mc005-6.jpg or n = mc005-7.jpg
 

 6 

Identify the vertex and the y-intercept of the graph of the function mc006-1.jpg.
A
vertex: (–2, –5);
y-intercept: –12
C
vertex: (2, –5);
y-intercept: 9
B
vertex: (2, 5);
y-intercept: –7
D
vertex: (–2, 5);
y-intercept: –7
 

 7 

Find mc007-1.jpg.
A
mc007-2.jpg
B
mc007-3.jpg
C
–1
D
7
 
 
Simplify the expression.
 

 8 

mc008-1.jpg
A
7i
B
7
C
–7i
D
–7
 

 9 

mc009-1.jpg
A
mc009-2.jpg
C
mc009-4.jpg
B
mc009-3.jpg
D
mc009-5.jpg
 
 
Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth.
 

 10 

mc010-1.jpg
A
2, –0.67
B
4, –1.33
C
22, –20.67
D
0.67, –2
 
 
Write a function rule for the table.
 

 11 


x
f(x)
2
–1
3
0
4
1
5
2
A
mc011-1.jpg
B
mc011-2.jpg
C
mc011-3.jpg
D
mc011-4.jpg
 
 
Graph the equation.
 

 12 

y = –3
A
mc012-1.jpg
C
mc012-3.jpg
B
mc012-2.jpg
D
mc012-4.jpg
 

 13 

Graph the equation mc013-1.jpg by finding the intercepts.
A
mc013-2.jpg
C
mc013-4.jpg
B
mc013-3.jpg
D
mc013-5.jpg
 

 14 

Use the slope and y-intercept to graph the equation.
y
= mc014-1.jpgx – 1
A
mc014-2.jpg
C
mc014-4.jpg
B
mc014-3.jpg
D
mc014-5.jpg
 

 15 

Suppose you have 66 feet of fencing to enclose a rectangular dog pen. The function mc015-1.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 = 16.5 ft; area = 816.8 ft2
C
width = 33 ft; area = 272.3 ft2
B
width = 33 ft; area = 577.5 ft2
D
width = 16.5 ft; area = 272.3 ft2
 

 16 

What is the solution of the system of equations?
y = 2x + 5
y = –2x – 7
A
(0, 5)
B
(–3, –1)
C
(–0.5, –6)
D
(–1, –3)
 

 17 

Let mc017-1.jpg and mc017-2.jpg. Find mc017-3.jpg and its domain.
A
mc017-4.jpg; all real numbers
B
mc017-5.jpg; all real numbers except x = mc017-6.jpg
C
mc017-7.jpg; all real numbers except x = mc017-8.jpg
D
mc017-9.jpg; all real numbers
 
 
Graph the inequality.
 

 18 

mc018-1.jpg
A
mc018-2.jpg
C
mc018-4.jpg
B
mc018-3.jpg
D
mc018-5.jpg
 
 
Write the number in the form a + bi.
 

 19 

mc019-1.jpg
A
mc019-2.jpg
C
mc019-4.jpg
B
mc019-3.jpg
D
mc019-5.jpg
 
 
Solve the equation by factoring.
 

 20 

mc020-1.jpg
A
z = –1 or z = 3
C
z = 1 or z = 3
B
z = –1 or z = –3
D
z = 1 or z = –3
 



 
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