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Algebra 2 - Online Practice Test, DQA #1 (2008 - 2009); Graph Paper and Calcula



This assessment covers the following state indicators:  A1.2.1, A1.2.2, A1.2.6, A1.4.1, A2.2.1, A2.2.2, and A2.2.3
Multiple Choice

Identify the choice that best completes the statement or answers the question.
 

 1 

What is the vertex of the function mc001-1.jpg?
A
(mc001-2.jpg, –4)
B
(mc001-3.jpg, 4)
C
(mc001-4.jpg, 4)
D
(mc001-5.jpg, –4)
 

 2 

The sum of two numbers is 93. Their difference is 13. Write a system of equations that describes this situation.
A
x + y = 93
x + y = 13
C
xy = 93
x + y = 13
B
x + y = 93
x mc002-1.jpg y = 13
D
x + y = 13
yx = 93
 
 
Solve the system of equations.
 

 3 

4x + 2y = 14
4x – 2y = 18
A
(5, –3)
B
(2, 4)
C
(–1, 4)
D
(4, –1)
 
 
Graph the function.
 

 4 

mc004-1.jpg
A
mc004-2.jpg
C
mc004-4.jpg
B
mc004-3.jpg
D
mc004-5.jpg
 

 5 

mc005-1.jpg
A
mc005-2.jpg
C
mc005-4.jpg
B
mc005-3.jpg
D
mc005-5.jpg
 

 6 

A rental car agency charges a flat fee of $29.00 plus $1.75 per day to rent a certain car. Another agency charges a fee of $20.00 plus $4.00 per day to rent the same car.
a.Write a system of equations to represent the cost c for renting a car at each agency for d days.
b.Using a graphing calculator, find the number of days for which the costs are the same. Round your answer to the nearest whole day.
A
a. mc006-1.jpg
b. 9
C
a. mc006-3.jpg
b. 4
B
a. mc006-2.jpg
b. 9
D
a. mc006-4.jpg
b. 4
 

 7 

Mike and Kim invest $18,000 in equipment to print yearbooks for schools. Each yearbook costs $5 to print and sells for $15. How many yearbooks must they sell before their business breaks even?
A
1,900
B
1,200
C
3,600
D
1,800
 
 
Graph the absolute value equation.
 

 8 

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

 9 

The sale price of ground beef at a local grocery store is $1.49 for the first pound and $1.09 for each additional pound. Write a function rule to show how the cost y of ground beef depends on the number of pounds x.
A
mc009-1.jpg
C
mc009-3.jpg
B
mc009-2.jpg
D
mc009-4.jpg
 
 
Write and solve an equation.
 

 10 

The sum of two even integers is 186. What are they? Use the variable n for the value of the smaller integer. Write and solve the equation.
A
mc010-1.jpg; 92, 94
C
mc010-3.jpg; 92, 94
B
mc010-2.jpg; 92, 94
D
mc010-4.jpg; 92, 93
 

 11 

What is the solution of the system of equations?
y = x + 4
y = 2x – 2
A
(10, 6)
B
(6, 10)
C
(2, 6)
D
(–2, –6)
 
 
Graph the linear equation.
 

 12 

x = –5
A
mc012-1.jpg
C
mc012-3.jpg
B
mc012-2.jpg
D
mc012-4.jpg
 

 13 

y = mc013-1.jpgx + 2
A
mc013-2.jpg
C
mc013-4.jpg
B
mc013-3.jpg
D
mc013-5.jpg
 
 
Match the equation with its graph.
 

 14 

–3x – 6y = 18
A
mc014-1.jpg
C
mc014-3.jpg
B
mc014-2.jpg
D
mc014-4.jpg
 
 
Solve the equation.
 

 15 

mc015-1.jpg
A
–36
B
–18
C
–12
D
–20
 



 
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