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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 and graph the inequality.
 

 1 

mc001-1.jpg
A
x < –1
mc001-2.jpg
C
x < –5
mc001-4.jpg
B
x > –5
mc001-3.jpg
D
x > –1
mc001-5.jpg
 
 
Solve the equation.
 

 2 

mc002-1.jpg
A
21
B
45
C
–99
D
165
 
 
Write and solve an equation.
 

 3 

The sum of two odd integers is 96. What are they? Use the variable n for the value of the smaller integer.
A
mc003-1.jpg; 47, 48
C
mc003-3.jpg; 47, 49
B
mc003-2.jpg; 47, 49
D
mc003-4.jpg; 47, 49
 
 
Write the slope-intercept form of the equation for the line.
 

 4 

mc004-1.jpg
A
y = mc004-2.jpgx mc004-3.jpg
C
y = mc004-6.jpgx mc004-7.jpg
B
y = mc004-4.jpgx mc004-5.jpg
D
y = mc004-8.jpgx mc004-9.jpg
 
 
Solve the inequality.
 

 5 

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

 6 

Tom has a collection of 24 CDs and Nita has a collection of 16 CDs. Tom is adding 3 CDs a month to his collection while Nita is adding 5 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
mc006-1.jpg
mc006-2.jpg
C
mc006-5.jpg
mc006-6.jpg
B
mc006-3.jpg
mc006-4.jpg
D
mc006-7.jpg
mc006-8.jpg
 
 
Find the slope of the line.
 

 7 

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

 8 

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

 9 

Graph mc009-1.jpg by using the x- and y-intercepts.
A
mc009-2.jpg
C
mc009-4.jpg
B
mc009-3.jpg
D
mc009-5.jpg
 
 
Solve the inequality. Then graph your solution.
 

 10 

mc010-1.jpg
A
mc010-2.jpgmc010-3.jpg
C
mc010-6.jpg
mc010-7.jpg
B
mc010-4.jpg
mc010-5.jpg
D
mc010-8.jpg
mc010-9.jpg
 
 
Find the slope of the line through the pair of points.
 

 11 

A(–2, 5), M(6, –4)
A
mc011-1.jpg
B
mc011-2.jpg
C
mc011-3.jpg
D
mc011-4.jpg
 

 12 

Solve the equation for a.
mc012-1.jpg
A
mc012-2.jpg
B
mc012-3.jpg
C
mc012-4.jpg
D
mc012-5.jpg
 
 
Solve the equation.
 

 13 

mc013-1.jpg
A
0
B
–1
C
–5
D
5
 

 14 

mc014-1.jpg
A
–20
B
–15
C
–12
D
–4
 
 
Match the equation with its graph.
 

 15 

4x + 2y = 8
A
mc015-1.jpg
C
mc015-3.jpg
B
mc015-2.jpg
D
mc015-4.jpg
 

 16 

mc016-1.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 2; plant 2
C
plant 3; plant 1
B
plant 3; plant 3
D
plant 1; plant 3
 

 17 

What is the solution of the system of equations?
y = –2x + 3
y = 5x – 4
A
(2.33, –1.67)
B
(1, 1)
C
(1, 1)
D
(0.14, –3.29)
 

 18 

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
29 nickels and 31 dimes
B
31 nickels and 29 dimes
D
30 nickels and 28 dimes
 

 19 

Which graph is the most appropriate to describe a quantity decreasing at a steady rate?
A
mc019-1.jpg
C
mc019-3.jpg
B
mc019-2.jpg
D
mc019-4.jpg
 
 
Is the relationship shown by the data linear? If so, model the data with an equation.
 

 20 


x
y
–9
2
–3
3
3
4
9
5
A
The relationship is not linear.
B
The relationship is linear; y – 2 = mc020-1.jpg(x + 9).
C
The relationship is linear; y – 2 = mc020-2.jpg(x + 9).
D
The relationship is linear; y + 9 = mc020-3.jpg(x – 2).
 

 21 

The formula for converting degrees Celsius (C) to degrees Fahrenheit (F) is mc021-1.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
29° C
B
34° C
C
20° C
D
11° C
 
 
Solve the system of equations.
 

 22 

3x + y = 4
xy = 8
A
(3, –5)
B
(–5, 3)
C
(4, –8)
D
(1, 1)
 



 
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