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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.
 
 
Find the slope of the line through the pair of points.
 

 1 

F(9, –1), B(–1, –7)
A
mc001-1.jpg
B
mc001-2.jpg
C
mc001-3.jpg
D
mc001-4.jpg
 

 2 

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
mc002-1.jpg
C
mc002-3.jpg
B
mc002-2.jpg
D
mc002-4.jpg
 

 3 

Graph mc003-1.jpg by using the x- and y-intercepts.
A
mc003-2.jpg
C
mc003-4.jpg
B
mc003-3.jpg
D
mc003-5.jpg
 
 
Find the slope of the line.
 

 4 

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

 5 

mc005-1.jpg
A
–2
B
7
C
–14
D
–7
 

 6 

mc006-1.jpg
A
–12
B
–30
C
–15
D
–20
 
 
Match the equation with its graph.
 

 7 

8x – 7y = –56
A
mc007-1.jpg
C
mc007-3.jpg
B
mc007-2.jpg
D
mc007-4.jpg
 
 
Write and solve an equation.
 

 8 

The sum of two even integers is 78. What are they? Use the variable n for the value of the smaller integer.
A
mc008-1.jpg; 38, 40
C
mc008-3.jpg; 38, 40
B
mc008-2.jpg; 38, 40
D
mc008-4.jpg; 38, 39
 

 9 

The formula for converting degrees Celsius (C) to degrees Fahrenheit (F) is mc009-1.jpg. Solve the formula for degrees Celsius (C). Then find the temperature in degrees Celsius (C) when the temperature in degrees Fahrenheit (F) is –22.
A
–23° C
B
–30° C
C
–39° C
D
–18° C
 

 10 

mc010-1.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 2
C
plant 2; plant 3
B
plant 2; plant 2
D
plant 1; plant 1
 
 
Solve the system of equations.
 

 11 

x + 3y = –6
4x – 3y = 21
A
(3, 4)
B
(4, –3.3)
C
(3, –3)
D
(–3, 3)
 
 
Solve the equation.
 

 12 

mc012-1.jpg
A
–21
B
–45
C
9
D
–15
 
 
Solve and graph the inequality.
 

 13 

mc013-1.jpg
A
x > 5
mc013-2.jpg
C
x > 2
mc013-4.jpg
B
x < 2
mc013-3.jpg
D
x < 5
mc013-5.jpg
 
 
Write the slope-intercept form of the equation for the line.
 

 14 

mc014-1.jpg
A
y = mc014-2.jpgx mc014-3.jpg
C
y = mc014-6.jpgx mc014-7.jpg
B
y = mc014-4.jpgx mc014-5.jpg
D
y = mc014-8.jpgx mc014-9.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
 

 16 

Tom has a collection of 30 CDs and Nita has a collection of 18 CDs. Tom is adding CD 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
mc016-1.jpg
mc016-2.jpg
C
mc016-5.jpg
mc016-6.jpg
B
mc016-3.jpg
mc016-4.jpg
D
mc016-7.jpg
mc016-8.jpg
 

 17 

What is the solution of the system of equations?
y = –2x + 1
y = –3x – 9
A
(–10, 21)
B
(–2, 5)
C
(21, –10)
D
(–8, 15)
 
 
Solve the inequality. Then graph your solution.
 

 18 

mc018-1.jpg
A
mc018-2.jpgmc018-3.jpg
C
mc018-6.jpg
mc018-7.jpg
B
mc018-4.jpg
mc018-5.jpg
D
mc018-8.jpg
mc018-9.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
 
 
Is the relationship shown by the data linear? If so, model the data with an equation.
 

 20 


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

 21 

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
29 nickels and 31 dimes
C
31 nickels and 29 dimes
B
30 nickels and 28 dimes
D
30 nickels and 32 dimes
 
 
Solve the inequality.
 

 22 

mc022-1.jpg
A
b £ mc022-2.jpg
B
b ³ mc022-3.jpg
C
b £ mc022-4.jpg
D
b £ mc022-5.jpg
 



 
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