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Algebra II DQA Practice 4



This assessment covere each of the following indicators: A2.1.2, A2.1.4, A2.1.6, A2.2.2, A2.2.3, A2.2.4.

Multiple Choice

Identify the choice that best completes the statement or answers the question.
 

 1 

Suppose mc001-1.jpg and mc001-2.jpg.
Find the value of mc001-3.jpg.
A
mc001-4.jpg
B
mc001-5.jpg
C
mc001-6.jpg
D
mc001-7.jpg
 

 2 

Graph the function mc002-1.jpg.
A
mc002-2.jpg
C
mc002-4.jpg
B
mc002-3.jpg
D
mc002-5.jpg
 

 3 

Solve the system.
mc003-1.jpg
A
(5, 8)
C
(–5, –8)
B
infinite solutions
D
no solutions
 

 4 

Find an equation through (0, –5) and perpendicular to y = mc004-1.jpgx – 3.
A
y = mc004-2.jpgx mc004-3.jpg
B
y = mc004-4.jpgx mc004-5.jpg
C
y = mc004-6.jpgx mc004-7.jpg
D
y = mc004-8.jpgx mc004-9.jpg
 

 5 

A group of 70 people attended a ball game. There were four times as many children as adults in the group. Set up a system of equations that represents the numbers of adults and children who attended the game and solve the system to find the number of children who were in the group.
A
mc005-1.jpg; 56 adults, 14 children
C
mc005-3.jpg; 56 adults; 33 children
B
mc005-2.jpg; 33 adults; 56 children
D
mc005-4.jpg; 14 adults, 56 children
 

 6 

Graph the equation –x – 2y = 12.
A
mc006-1.jpg
C
mc006-3.jpg
B
mc006-2.jpg
D
mc006-4.jpg
 

 7 

Graph the absolute value inequality.
y
£ |x + 3| + 1
A
mc007-1.jpg
C
mc007-3.jpg
B
mc007-2.jpg
D
mc007-4.jpg
 

 8 

Write an inequality for the graph.
mc008-1.jpg
A
4x – 6y ³ –24
C
–6x + 4y £ –24
B
–6x + 4y ³ –24
D
4x – 6y £ –24
 

 9 

The equation mc009-1.jpg describes a function that is translated from a parent function.
a.Write the equation of the parent function. Then find the number of units and the direction of translation.
b.Sketch the graphs of the two functions.
A
mc009-2.jpg; 1 unit up;
mc009-3.jpg
C
mc009-6.jpg; 1 unit down;
mc009-7.jpg
B
mc009-4.jpg; 1 unit down;
mc009-5.jpg
D
mc009-8.jpg; 1 unit up;
mc009-9.jpg
 

 10 

Write an equation for the given translation.  mc010-1.jpg; 6 units down
A
mc010-2.jpg
C
mc010-4.jpg
B
mc010-3.jpg
D
mc010-5.jpg
 

 11 

Graph the inequality y < |x – 1| – 2.
A
mc011-1.jpg
C
mc011-3.jpg
B
mc011-2.jpg
D
mc011-4.jpg
 

 12 

Find the point-slope form of the equation of the line passing through the points (8, –8) and (–4, 0).
A
y – 0 = mc012-1.jpg(x – 8)
C
y + 8 = mc012-3.jpg(x – 8)
B
y + 8 = mc012-2.jpg(x + 4)
D
y + 8 = mc012-4.jpg(x – 8)
 

 13 

Solve the system.
mc013-1.jpg
A
infinite solutions
C
(–3, 8)
B
(3, –8)
D
no solutions
 

 14 

A cannery processed 945 pounds of strawberries in 5.5 hours. The cannery processed 1365 pounds in 7.5 hours.
a.Write a linear equation to model the weight of strawberries S processed in T hours.
b.How many pounds of strawberries can be processed in 6 hours?
A
T = 210S – 210; 1050 lb
C
S = 172T – 210; 821 lb
B
S = 210T – 210; 1050 lb
D
S = 210T + 210; 1470 lb
 

 15 

Write the equation that is the translation of mc015-1.jpg left 12 units and up 8 units.
A
mc015-2.jpg
C
mc015-4.jpg
B
mc015-3.jpg
D
mc015-5.jpg
 

 16 

Graph the equation mc016-1.jpg.
A
mc016-2.jpg
C
mc016-4.jpg
B
mc016-3.jpg
D
mc016-5.jpg
 

 17 

An electronics store makes a profit of $54 for every portable DVD player sold and $72 for every DVD recorder sold. The manager’s target is to make at least $432 a day on sales of the portable DVD players and DVD recorders. Write and graph an inequality that represents the number of both kinds of DVD players that can be sold to reach or beat the sales target. Let p represent the number of portable DVD players and r represent the number of DVD recorders.
A
72p + 54r ³ 432
mc017-1.jpg
C
54p + 72r ³ 432
mc017-3.jpg
B
54p + 72r ³ 432
mc017-2.jpg
D
72p + 54r ³ 432
mc017-4.jpg
 

 18 

What is the vertex of the function mc018-1.jpg?
A
(mc018-2.jpg, 5)
B
(mc018-3.jpg, –5)
C
(mc018-4.jpg, –5)
D
(mc018-5.jpg, 5)
 

 19 

The equation mc019-1.jpg describes a function that is translated from a parent function.
a.Write the equation of the parent function.
b.Find the number of units and the direction of translation.
c.Sketch the graphs of the two functions.
A
mc019-2.jpg; 1 unit left;
mc019-3.jpg
C
mc019-6.jpg; 1 unit right;
mc019-7.jpg
B
mc019-4.jpg; 1 unit left;
mc019-5.jpg
D
mc019-8.jpg; 1 unit right;
mc019-9.jpg
 

 20 

Graph the equation mc020-1.jpg by finding the intercepts.
A
mc020-2.jpg
C
mc020-4.jpg
B
mc020-3.jpg
D
mc020-5.jpg
 

 21 

A food store makes a 10-lb mixture of peanuts, cashews, and raisins. Peanuts cost $1.00 per pound, cashews cost $1.00 per pound, and raisins cost $1.50 per pound. The mixture calls for twice as much peanuts than cashews. The total cost of the mixture is $12.00. How much of each ingredient did the store use?
A
6 lb peanuts, 3 lb cashews, 1 lb raisins
B
2 lb peanuts, 4 lb cashews, 4 lb raisins
C
6 lb peanuts, 1 lb cashews, 3 lb raisins
D
4 lb peanuts, 2 lb cashews, 4 lb raisins
 

 22 

Solve the system.
mc022-1.jpg
A
(–8, 3, –8)
B
(–8, 0, –8)
C
(8, 0, –8)
D
(–8, 0, 8)
 

 23 

Write in standard form an equation of the line passing through the given point with the given slope.  slope = –11; (4, –5)
A
11xy = 39
B
11x + y = 39
C
–11x + y = 39
D
11x + y = –39
 

 24 

Solve the system.
mc024-1.jpg
A
(2, –1)
B
(–1, 2)
C
(1, –2)
D
(–2, 1)
 

 25 

For mc025-1.jpg, mc025-2.jpg.
A
–30
B
1
C
–15
D
–1
 

 26 

Graph the equation of y = |x| translated 4 units down.
A
mc026-1.jpg
C
mc026-3.jpg
B
mc026-2.jpg
D
mc026-4.jpg
 

 27 

Write the equation for the translation of mc027-1.jpg.
mc027-2.jpg
A
mc027-3.jpg
B
mc027-4.jpg
C
mc027-5.jpg
D
mc027-6.jpg
 

 28 

The length of a rectangle is 7.5 cm more than 4 times the width. If the perimeter of the rectangle is 89 cm, what are its dimensions?
A
length = 37.1 cm; width = 7.4 cm
C
length = 37.1 cm; width = 14.9 cm
B
length = 22.1 cm; width = 14.9 cm
D
length = 7.4 cm; width = 37.1 cm
 

 29 

Find an equation through (3, –7) and vertical.
A
y = 3
B
x = –7
C
y = –7
D
x = 3
 

 30 

Find the slope of the line.  mc030-1.jpg
A
mc030-2.jpg
B
mc030-3.jpg
C
mc030-4.jpg
D
mc030-5.jpg
 



 
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