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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 the inequality.
 

 1 

mc001-1.jpg
A
g £ mc001-2.jpg
B
g ³ mc001-3.jpg
C
g £ mc001-4.jpg
D
g £ mc001-5.jpg
 
 
Write the slope-intercept form of the equation for the line.
 

 2 

mc002-1.jpg
A
y = mc002-2.jpgx mc002-3.jpg1
C
y = x mc002-5.jpg1
B
y = 2x mc002-4.jpg1
D
y = 2x mc002-6.jpg1
 
 
Solve the system of equations.
 

 3 

x + 5y = 27
2x – 5y = –21
A
(2, 5)
B
(3, 4.8)
C
(5, 2)
D
(5, 2)
 
 
Solve the equation.
 

 4 

mc004-1.jpg
A
–1
B
–4
C
4
D
0
 

 5 

mc005-1.jpg
A
–16
B
–24
C
–12
D
–6
 

 6 

Tom has a collection of 21 CDs and Nita has a collection of 15 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
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
 

 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
 

 8 

The formula for converting degrees Celsius (C) to degrees Fahrenheit (F) is mc008-1.jpg. Solve the formula for degrees Celsius (C). Then find the temperature in degrees Celsius (C) when the temperature in degrees Fahrenheit (F) is –13.
A
–13° C
B
–17° C
C
–25° C
D
–34° C
 

 9 

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
 

 10 

What is the solution of the system of equations?
y = –4x + 6
y = 3x – 1
A
(2, 1)
B
(–0.71, –3.14)
C
(1, 2)
D
(–7, 34)
 

 11 

mc011-1.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 3; plant 3
C
plant 2; plant 1
B
plant 1; plant 2
D
plant 1; plant 1
 
 
Find the slope of the line through the pair of points.
 

 12 

C(4, –1), B(1, –6)
A
mc012-1.jpg
B
mc012-2.jpg
C
mc012-3.jpg
D
mc012-4.jpg
 
 
Match the equation with its graph.
 

 13 

–4x – 6y = 24
A
mc013-1.jpg
C
mc013-3.jpg
B
mc013-2.jpg
D
mc013-4.jpg
 
 
Is the relationship shown by the data linear? If so, model the data with an equation.
 

 14 


x
y
–1
5
5
0
11
–5
17
–10
A
The relationship is linear; y – 5 = mc014-1.jpg(x + 1).
B
The relationship is linear; y + 1 = mc014-2.jpg(x – 5).
C
The relationship is not linear.
D
The relationship is linear; y – 5 = mc014-3.jpg(x + 1).
 
 
Find the slope of the line.
 

 15 

mc015-1.jpg
A
mc015-2.jpg
B
mc015-3.jpg
C
mc015-4.jpg
D
mc015-5.jpg
 
 
Write and solve an equation.
 

 16 

The sum of two even integers is 106. What are they? Use the variable n for the value of the smaller integer.
A
mc016-1.jpg; 52, 54
C
mc016-3.jpg; 52, 54
B
mc016-2.jpg; 52, 54
D
mc016-4.jpg; 52, 53
 

 17 

Which graph is the most appropriate to describe a quantity decreasing at a steady rate?
A
mc017-1.jpg
C
mc017-3.jpg
B
mc017-2.jpg
D
mc017-4.jpg
 

 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
 

 19 

Solve the equation for a.
mc019-1.jpg
A
mc019-2.jpg
B
mc019-3.jpg
C
mc019-4.jpg
D
mc019-5.jpg
 
 
Solve the equation.
 

 20 

mc020-1.jpg
A
40
B
60
C
10
D
30
 
 
Solve and graph the inequality.
 

 21 

mc021-1.jpg
A
x > –3
mc021-2.jpg
C
x < –10
mc021-4.jpg
B
x > –10
mc021-3.jpg
D
x < –3
mc021-5.jpg
 
 
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.jpg
mc022-5.jpg
D
mc022-8.jpgmc022-9.jpg
 



 
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