Name: 
 

Practice Test - DQA # 3 Algebra 1; Calculators Recommended!



This assessment covers the following state indicators: 7.3.2, A1.2.1, A1.2.2, A1.2.4, A1.2.6, A1.3.2, A1.4.1, A1.4.2, A1.4.4, A1.5.3, and A1.5.6

Multiple Choice

Identify the choice that best completes the statement or answers the question.
 
 
Solve the system of equations.
 

 1 

x + y = –4
4xy = –11
A
(–2, –2)
B
(–1, –3)
C
(1, 4)
D
(–3, –1)
 

 2 

mc002-1.jpg
Use the graph above.
a.
Which plant was the tallest at the beginning?
b. Which plant had the greatest rate of change over the 6 weeks?
A
plant 1; plant 2
C
plant 3; plant 1
B
plant 2; plant 2
D
plant 1; plant 3
 
 
Write and solve an equation.
 

 3 

The sum of two even integers is 58. What are they? Use the variable n for the value of the smaller integer.
A
mc003-1.jpg; 28, 30
C
mc003-3.jpg; 28, 30
B
mc003-2.jpg; 28, 30
D
mc003-4.jpg; 28, 29
 

 4 

A jar containing only nickels and dimes contains a total of 60 coins. The value of all the coins in the jar is $4.45. Solve by elimination to find the amount of nickels and dimes that are in the jar.
A
30 nickels and 32 dimes
C
31 nickels and 29 dimes
B
29 nickels and 31 dimes
D
30 nickels and 28 dimes
 
 
Match the equation with its graph.
 

 5 

8x – 6y = –48
A
mc005-1.jpg
C
mc005-3.jpg
B
mc005-2.jpg
D
mc005-4.jpg
 
 
Solve the inequality.
 

 6 

mc006-1.jpg
A
r £ mc006-2.jpg
B
r £ mc006-3.jpg
C
r £ mc006-4.jpg
D
r ³ mc006-5.jpg
 

 7 

Graph mc007-1.jpg by using the x- and y-intercepts.
A
mc007-2.jpg
C
mc007-4.jpg
B
mc007-3.jpg
D
mc007-5.jpg
 
 
Find the slope of the line.
 

 8 

mc008-1.jpg
A
mc008-2.jpg
B
mc008-3.jpg
C
mc008-4.jpg
D
mc008-5.jpg
 
 
Find the slope of the line through the pair of points.
 

 9 

N(–8, 7), P(8, 1)
A
mc009-1.jpg
B
mc009-2.jpg
C
mc009-3.jpg
D
mc009-4.jpg
 

 10 

Tom has a collection of 30 CDs and Nita has a collection of 12 CDs. Tom is adding 2 CDs a month to his collection while Nita is adding 4 CDs a month to her collection. Which linear system below can be used to find the number of months after which they will have the same number of CDs. Let x represent the number of months and y the number of CDs.
A
mc010-1.jpg
mc010-2.jpg
C
mc010-5.jpg
mc010-6.jpg
B
mc010-3.jpg
mc010-4.jpg
D
mc010-7.jpg
mc010-8.jpg
 
 
Solve the equation.
 

 11 

mc011-1.jpg
A
5
B
10
C
2
D
15
 

 12 

mc012-1.jpg
A
0
B
–15
C
–10
D
–12
 

 13 

The formula for converting degrees Celsius (C) to degrees Fahrenheit (F) is mc013-1.jpg. Solve the formula for degrees Celsius (C). Then find the temperature in degrees Celsius (C) when the temperature in degrees Fahrenheit (F) is 68.
A
11° C
B
20° C
C
35° C
D
28° C
 
 
Solve and graph the inequality.
 

 14 

mc014-1.jpg
A
x < 2
mc014-2.jpg
C
x > 2
mc014-4.jpg
B
x < –3
mc014-3.jpg
D
x > –3
mc014-5.jpg
 

 15 

Which graph is the most appropriate to describe a quantity decreasing at a steady rate?
A
mc015-1.jpg
C
mc015-3.jpg
B
mc015-2.jpg
D
mc015-4.jpg
 
 
Is the relationship shown by the data linear? If so, model the data with an equation.
 

 16 


x
y
–9
5
–4
6
1
7
6
8
A
The relationship is linear; y – 5 = mc016-1.jpg(x + 9).
B
The relationship is linear; y – 5 = mc016-2.jpg(x + 9).
C
The relationship is not linear.
D
The relationship is linear; y + 9 = mc016-3.jpg(x – 5).
 

 17 

What is the solution of the system of equations?
y = 3x + 3
y = 5x – 9
A
(1.5, 7.5)
B
(3, 6)
C
(21, 6)
D
(6, 21)
 

 18 

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
mc018-1.jpg
C
mc018-3.jpg
B
mc018-2.jpg
D
mc018-4.jpg
 
 
Write the slope-intercept form of the equation for the line.
 

 19 

mc019-1.jpg
A
y = x mc019-2.jpg1
C
y = mc019-4.jpgx mc019-5.jpg1
B
y = 2x mc019-3.jpg1
D
y = 2x mc019-6.jpg1
 

 20 

Solve the equation for a.
mc020-1.jpg
A
mc020-2.jpg
B
mc020-3.jpg
C
mc020-4.jpg
D
mc020-5.jpg
 
 
Solve the equation.
 

 21 

mc021-1.jpg
A
209
B
129
C
33
D
113
 
 
Solve the inequality. Then graph your solution.
 

 22 

mc022-1.jpg
A
mc022-2.jpg
mc022-3.jpg
C
mc022-6.jpg
mc022-7.jpg
B
mc022-4.jpgmc022-5.jpg
D
mc022-8.jpg
mc022-9.jpg
 



 
Check Your Work     Start Over