Name: ______________________ Class: _________________ Date: _________
Algebra II - Chapter 2 Quiz 2
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Graph the function y = −2 | x| + 3.
a.
c.
b.
d.
1
ID: A
Name: ______________________
ID: A
Graph the absolute value equation.
____
2. y = | 3x − 5 |
a.
c.
b.
d.
2
Name: ______________________
____
ID: A
3. y = − | x + 6 |
a.
c.
b.
____
d.
4. Write an equation for the horizontal translation of y = | x |.
a.
y = − |x + 1 |
b. y = − | x − 1 |
c. y = | x − 1 |
3
d. y = | x + 1 |
Name: ______________________
ID: A
Graph the inequality.
____
5. –3x – 2y < 8
a.
c.
b.
d.
4
Name: ______________________
____
ID: A
6. –4x – y ≥ 3
a.
c.
b.
d.
5
Name: ______________________
ID: A
Graph the absolute value inequality.
____
7. y ≥ |x + 4| + 4
a.
c.
b.
d.
6
Name: ______________________
____
ID: A
8. y < |x – 3| – 5
a.
c.
b.
d.
7
Name: ______________________
____
ID: A
9. –|x – 1| < y + 4
a.
c.
b.
d.
Write an equation for the vertical translation.
____
____
2
10. y = − | x | + 10; 6 units down
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a. y = − 2 | x | − 6
c. y = − 2 | x | + 4
9
9
2
b. y = − | x | − 4
d. y = − 2 | x | − 6
9
9
11. What is the vertex of the function y = | − x − 5 | + 5?
a. (−5, –5)
b. (5, –5)
c. (−5, 5)
d. (5, 5)
8
Name: ______________________
____
ID: A
12. Graph the function y = 4 | x| + 5.
a.
c.
b.
d.
9
Name: ______________________
____
ID: A
13. The equation y = | x − 4 | 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.
y = − | x |; 4 units left;
c. y = | x |; 4 units left;
b.
y = − | x |; 4 units right;
d. y = | x |; 4 units right;
10
Name: ______________________
____
ID: A
14. Graph the function y = | x − 5| − 1.
a.
c.
b.
____
d.
15. Write the equation that is the translation of y = | x | right 8 units and down 5 units.
a. y = | x − 5 | + 8
c. y = | x + 5 | + 8
b. y = | x − 8 | − 5
d. y = | x + 8 | − 5
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Name: ______________________
ID: A
Write an inequality for the graph.
____
16.
____
a. y ≥ |x – 4| – 5
b. y ≥ |x + 4| – 5
17. Write an inequality for the graph.
a.
b.
c. y ≤ |x + 4| – 5
d. y ≥ |x + 4| + 5
6x – 7y > –42
6x – 7y < –42
c. –7x + 6y > –42
d. –7x + 6y < –42
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Name: ______________________
____
ID: A
18. An electronics store makes a profit of $30 for every portable DVD player sold and $90 for every
DVD recorder sold. The manager’s target is to make at least $270 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. 30p + 90r ≥ 270
c. 30p + 90r ≥ 270
b.
90p + 30r ≥ 270
d. 90p + 30r ≥ 270
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