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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.
 
 
Graph the equation.
 

 1 

y = 1
A
mc001-1.jpg
C
mc001-3.jpg
B
mc001-2.jpg
D
mc001-4.jpg
 

 2 

Find mc002-1.jpg.
A
–3
B
mc002-2.jpg
C
15
D
mc002-3.jpg
 

 3 

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
 

 4 

Evaluate mc004-1.jpg for x = 3.
A
1
B
–1
C
9
D
5
 

 5 

What is the solution of the system of equations?
y = –2x + 7
y = –5x – 2
A
(13, –3)
B
(–3, 13)
C
(1.67, –10.33)
D
(–1.29, 9.57)
 
 
Solve the equation by factoring.
 

 6 

mc006-1.jpg
A
z = –9 or z = –8
C
z = –9 or z = 8
B
z = 9 or z = 8
D
z = 9 or z = –8
 

 7 

Use the slope and y-intercept to graph the equation.
y
= mc007-1.jpgx – 2
A
mc007-2.jpg
C
mc007-4.jpg
B
mc007-3.jpg
D
mc007-5.jpg
 
 
Graph the inequality.
 

 8 

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

 9 

Suppose you have 74 feet of fencing to enclose a rectangular dog pen. The function mc009-1.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 = 37 ft; area = 721.5 ft2
C
width = 37 ft; area = 342.3 ft2
B
width = 18.5 ft; area = 342.3 ft2
D
width = 18.5 ft; area = 1026.8 ft2
 
 
Simplify the expression.
 

 10 

mc010-1.jpg
A
mc010-2.jpg
C
mc010-4.jpg
B
mc010-3.jpg
D
mc010-5.jpg
 

 11 

mc011-1.jpg
A
–16i
B
16i
C
16
D
–16
 

 12 

Graph the equation mc012-1.jpg by finding the intercepts.
A
mc012-2.jpg
C
mc012-4.jpg
B
mc012-3.jpg
D
mc012-5.jpg
 

 13 

Identify the vertex and the y-intercept of the graph of the function mc013-1.jpg.
A
vertex: (2, –4);
y-intercept: 0
C
vertex: (–2, 4);
y-intercept: 4
B
vertex: (2, 4);
y-intercept: 0
D
vertex: (–2, –4);
y-intercept: 0
 
 
Solve the linear system.
 

 14 

mc014-1.jpg
A
(–1, 5)
B
(5, –1)
C
(–5, 1)
D
(1, –5)
 
 
Solve the equation using the zero-product property.
 

 15 

mc015-1.jpg
A
n = mc015-2.jpg or n = mc015-3.jpg
C
n = 0 or n = mc015-5.jpg
B
n = 0 or n = mc015-4.jpg
D
n = mc015-6.jpg or n = mc015-7.jpg
 

 16 

Let mc016-1.jpg and mc016-2.jpg. Find mc016-3.jpg and its domain.
A
mc016-4.jpg; all real numbers except x = mc016-5.jpg
B
mc016-6.jpg; all real numbers except x = mc016-7.jpg
C
mc016-8.jpg; all real numbers
D
mc016-9.jpg; all real numbers
 
 
Write a function rule for the table.
 

 17 


x
f(x)
0
1
1
2
2
3
3
4
A
mc017-1.jpg
B
mc017-2.jpg
C
mc017-3.jpg
D
mc017-4.jpg
 
 
Write the number in the form a + bi.
 

 18 

mc018-1.jpg
A
mc018-2.jpg
C
mc018-4.jpg
B
mc018-3.jpg
D
mc018-5.jpg
 
 
Write the linear inequality shown in the graph.
 

 19 

mc019-1.jpg
A
mc019-2.jpg
B
mc019-3.jpg
C
mc019-4.jpg
D
mc019-5.jpg
 
 
Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth.
 

 20 

mc020-1.jpg
A
–1.77, 2.27
B
–16.5, 16
C
–2.27, 1.77
D
–4.53, 3.53
 



 
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