Algebra II Honors Chapter 2
Multiple Choice
Identify the choice that best completes the statement or answers the question.
1. Use the vertical-line test to determine which graph represents a function.
y
a.
–4
–2
4
4
2
2
O
2
4
–2
O
–2
–4
–4
y
–2
–4
x
–2
c.
–4
y
b.
4
2
2
2
4
x
–4
–2
O
–2
–2
–4
–4
Short Answer
2. Make a mapping diagram for the relation.
{(–2, 1), (–1, –6), (0, –5), (1, 3)}
Write an inequality for the graph.
4
x
2
4
x
y
d.
4
O
2
3.
y
6
3
–6
–3
O
3
6
x
–3
–6
4. Find the domain and range of the relation and determine whether it is a function.
y
4
2
–4
–2
O
2
4
–2
–4
Graph the absolute value inequality.
5. |x + 5|  y – 5
6. y  |x + 2| – 2
7. Write an inequality for the graph.
x
y
6
3
–6
–3
O
3
6
x
–3
–6
Graph the inequality.
8. –2x – 2y  –7
9. 3x + 3y  –4
10. Graph the equation 3x – 4y = –12.
11. Graph the equation
.
12. Describe the relationship between the graph of
the graph of
. Then graph
13. For
,
15. Graph the function
.
.
14. Suppose
Find the value of
in terms of a vertical and a horizontal translation of
and
.
.
.
16. Write the equation that is the translation of
17. What is the vertex of the graph of the function
left 8 units and up 10 units.
?
Graph the absolute value equation.
18.
19.
Find an equation for the line:
20. through (–5, –6) and vertical.
1
21. through (–1, 5) and perpendicular to y =  x + 3.
2
22. through (5, 6) and parallel to y =
5
x + 3.
2
23. Find the point-slope form of the equation of the line passing through the points (7, 4) and (–5, 8).
Write in standard form an equation of the line passing through the given point with the given slope.
24. slope = –2; (–5, 3)
Write an equation for the vertical translation.
25.
; 7 units up
Algebra II Honors Chapter 2
Answer Section
MULTIPLE CHOICE
1. ANS: C
PTS: 1
OBJ: 2-1.2 Identifying Functions
KEY: graphing | vertical-line test
DIF: L2
REF: 2-1 Relations and Functions
TOP: 2-1 Example 5
SHORT ANSWER
2. ANS:
–2
1
–1
–6
0
–5
1
3
PTS: 1
DIF: L2
REF: 2-1 Relations and Functions
OBJ: 2-1.1 Graphing Relations
TOP: 2-1 Example 3
KEY: relation | mapping diagram | ordered pair
3. ANS:
y  |x + 3| + 2
PTS: 1
DIF: L2
REF: 2-7 Two-Variable Inequalities
OBJ: 2-7.2 Graphing Two-Variable Absolute Value Inequalities
STA: CA A2 1.0
TOP: 2-7 Example 4
KEY: absolute value
4. ANS:
Domain: x > 0; range: y > 0; yes, it is a function.
PTS: 1
DIF: L3
OBJ: 2-1.2 Identifying Functions
KEY: domain | range | relation
5. ANS:
REF: 2-1 Relations and Functions
TOP: 2-1 Example 5
y
6
3
–6
–3
O
3
6
x
–3
–6
PTS: 1
DIF: L3
REF: 2-7 Two-Variable Inequalities
OBJ: 2-7.2 Graphing Two-Variable Absolute Value Inequalities
STA: CA A2 1.0
TOP: 2-7 Example 3
KEY: absolute value
6. ANS:
y
6
3
–6
–3
O
3
6
x
–3
–6
PTS: 1
DIF: L2
REF: 2-7 Two-Variable Inequalities
OBJ: 2-7.2 Graphing Two-Variable Absolute Value Inequalities
STA: CA A2 1.0
TOP: 2-7 Example 3
KEY: absolute value
7. ANS:
3x – 4y  –12
PTS: 1
DIF: L4
OBJ: 2-7.1 Graphing Linear Inequalities
KEY: graphing | inequality
8. ANS:
REF: 2-7 Two-Variable Inequalities
STA: CA A2 1.0
TOP: 2-7 Example 1
y
6
4
2
–6
–4
–2 O
–2
2
4
6
x
–4
–6
PTS: 1
DIF: L2
OBJ: 2-7.1 Graphing Linear Inequalities
KEY: inequality | graphing
9. ANS:
REF: 2-7 Two-Variable Inequalities
STA: CA A2 1.0
TOP: 2-7 Example 1
y
6
4
2
–6
–4
–2 O
–2
2
4
6
x
–4
–6
PTS: 1
DIF: L2
OBJ: 2-7.1 Graphing Linear Inequalities
KEY: inequality | graphing
10. ANS:
REF: 2-7 Two-Variable Inequalities
STA: CA A2 1.0
TOP: 2-7 Example 1
y
12
8
4
–12
–8
–4 O
–4
4
8
12 x
–8
–12
PTS: 1
DIF: L3
OBJ: 2-2.1 Graphing Linear Equations
KEY: graphing | linear equation
11. ANS:
REF: 2-2 Linear Equations
TOP: 2-2 Example 1
y
4
2
–4
–2
O
2
4
x
–2
–4
PTS: 1
DIF: L2
OBJ: 2-2.1 Graphing Linear Equations
KEY: linear equation | graphing
12. ANS:
3 units left and 4 units down;
REF: 2-2 Linear Equations
TOP: 2-2 Example 1
y
6
4
2
–6
–4
–2 O
–2
2
4
6
x
–4
–6
PTS: 1
DIF: L4
OBJ: 2-6.1 Translating Graphs
KEY: translation | horizontal line
13. ANS:
–10
REF: 2-6 Families of Functions
STA: CA A2 1.0
TOP: 2-6 Example 2
PTS: 1
DIF: L2
OBJ: 2-1.2 Identifying Functions
KEY: function notation
14. ANS:
3
1
7
REF: 2-1 Relations and Functions
TOP: 2-1 Example 6
PTS: 1
DIF: L3
OBJ: 2-1.2 Identifying Functions
KEY: function notation
15. ANS:
REF: 2-1 Relations and Functions
TOP: 2-1 Example 6
y
6
3
–6
–3
O
3
6
x
–3
–6
PTS: 1
DIF: L2
OBJ: 2-6.1 Translating Graphs
KEY: horizontal translation
REF: 2-6 Families of Functions
STA: CA A2 1.0
TOP: 2-6 Example 2
16. ANS:
PTS: 1
DIF: L2
OBJ: 2-6.1 Translating Graphs
KEY: horizontal translation
17. ANS:
(4, –5)
REF: 2-6 Families of Functions
STA: CA A2 1.0
TOP: 2-6 Example 2
PTS: 1
DIF: L3
REF: 2-5 Absolute Value Functions and Graphs
OBJ: 2-5.1 Graphing Absolute Value Functions
STA: CA A2 1.0
TOP: 2-5 Example 1
KEY: absolute value | vertex
18. ANS:
y
16
12
8
4
–8
–4
O
4
8
x
–4
PTS: 1
DIF: L2
REF: 2-5 Absolute Value Functions and Graphs
OBJ: 2-5.1 Graphing Absolute Value Functions
STA: CA A2 1.0
TOP: 2-5 Example 1
KEY: absolute value
19. ANS:
4
–8
–4
O
y
4
8
x
–4
–8
–12
–16
PTS: 1
DIF: L2
REF: 2-5 Absolute Value Functions and Graphs
OBJ: 2-5.1 Graphing Absolute Value Functions
STA: CA A2 1.0
TOP: 2-5 Example 1
KEY: absolute value
20. ANS:
x = –5
PTS:
OBJ:
KEY:
21. ANS:
y = 2x
1
DIF: L2
REF: 2-2 Linear Equations
2-2.2 Writing Equations of Lines
TOP: 2-2 Example 7
vertical line | horizontal line | equation of a line
7
PTS: 1
DIF: L2
REF: 2-2 Linear Equations
OBJ: 2-2.2 Writing Equations of Lines
TOP: 2-2 Example 7
KEY: slope | perpendicular | equation of a line
22. ANS:
5
13
y= x 
2
2
PTS: 1
DIF: L2
OBJ: 2-2.2 Writing Equations of Lines
KEY: slope | equation of a line
23. ANS:
1
y – 4 =  (x – 7)
3
REF: 2-2 Linear Equations
TOP: 2-2 Example 7
PTS: 1
DIF: L2
OBJ: 2-2.2 Writing Equations of Lines
KEY: point-slope form | ordered pair
24. ANS:
2x + y = –7
REF: 2-2 Linear Equations
TOP: 2-2 Example 5
PTS: 1
DIF: L2
REF: 2-2 Linear Equations
OBJ: 2-2.2 Writing Equations of Lines
TOP: 2-2 Example 4
KEY: point-slope form | standard form of linear equation
25. ANS:
PTS: 1
DIF: L3
OBJ: 2-6.1 Translating Graphs
KEY: vertical translation
REF: 2-6 Families of Functions
STA: CA A2 1.0
TOP: 2-6 Example 1