Name: 
 

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.
 
 
Solve the system of equations.
 

 1 

4x + 3y = 5
5x – 3y = 40
A
(6, –6.3)
B
(5, –5)
C
(–5, 5)
D
(3, 5)
 
 
Solve the equation.
 

 2 

mc002-1.jpg
A
–15
B
–30
C
–10
D
–14
 
 
Graph the linear equation.
 

 3 

y = mc003-1.jpgx + 3
A
mc003-2.jpg
C
mc003-4.jpg
B
mc003-3.jpg
D
mc003-5.jpg
 

 4 

x = –4
A
mc004-1.jpg
C
mc004-3.jpg
B
mc004-2.jpg
D
mc004-4.jpg
 

 5 

The sum of two numbers is 67. Their difference is 23. Write a system of equations that describes this situation.
A
x + y = 67
x + y = 23
C
x + y = 67
x mc005-1.jpg y = 23
B
x + y = 23
yx = 67
D
xy = 67
x + y = 23
 
 
Graph the absolute value equation.
 

 6 

mc006-1.jpg
A
mc006-2.jpg
C
mc006-4.jpg
B
mc006-3.jpg
D
mc006-5.jpg
 
 
Graph the function.
 

 7 

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

 8 

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

 9 

What is the solution of the system of equations?
y = –5x + 7
y = –3x – 3
A
(–18, 5)
B
(–1.25, 13.25)
C
(5, –18)
D
(–2, 3)
 

 10 

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
mc010-1.jpg
C
mc010-3.jpg
B
mc010-2.jpg
D
mc010-4.jpg
 
 
Write and solve an equation.
 

 11 

The sum of two even integers is 142. What are they? Use the variable n for the value of the smaller integer. Write and solve the equation.
A
mc011-1.jpg; 70, 72
C
mc011-3.jpg; 70, 71
B
mc011-2.jpg; 70, 72
D
mc011-4.jpg; 70, 72
 

 12 

A rental car agency charges a flat fee of $32.00 plus $1.25 per day to rent a certain car. Another agency charges a fee of $23.00 plus $2.75 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. mc012-1.jpg
b. 10
C
a. mc012-3.jpg
b. 6
B
a. mc012-2.jpg
b. 6
D
a. mc012-4.jpg
b. 10
 

 13 

Mike and Kim invest $18,000 in equipment to print yearbooks for schools. Each yearbook costs $6 to print and sells for $30. How many yearbooks must they sell before their business breaks even?
A
3,000
B
575
C
750
D
600
 
 
Match the equation with its graph.
 

 14 

3x + 4y = 12
A
mc014-1.jpg
C
mc014-3.jpg
B
mc014-2.jpg
D
mc014-4.jpg
 

 15 

What is the vertex of the function mc015-1.jpg?
A
(mc015-2.jpg, 3)
B
(mc015-3.jpg, 3)
C
(mc015-4.jpg, –3)
D
(mc015-5.jpg, –3)
 



 
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