Algebra 2 2 - Clinton Public School District
Algebra 2 2.5-2.7 Review
Multiple Choice
Identify the choice that best completes the statement or answers the question.
Graph each equation by translating y = | x |.
____ 1. y = | x + 5 | + 2
|a. |[pic] |c. |[pic] |
|b. |[pic] |d. |[pic] |
____ 2. y = | x + 2 |
|a. |[pic] |c. |[pic] |
|b. |[pic] |d. |[pic] |
Write an equation for each translation of [pic].
____ 3. 7 units up
|a. |y + 7 = | x | |c. |y = | x | – 7 |
|b. |y = | 7x | |d. |y = | x | + 7 |
____ 4. 13 units left
|a. |y = | x | – 13 |b. |y = | x + 13 | |c. |y = | x | + 13 |d. |y = | x – 13 | |
____ 5. 15.5 units down
|a. |y – 15.5 = | x | |c. |y = | x | – 15.5 |
|b. |y = | x | + 15.5 |d. |y = | –15.5x | |
Graph the absolute value equation.
____ 6. [pic]
|a. |[pic] |c. |[pic] |
|b. |[pic] |d. |[pic] |
____ 7. Write an equation for the horizontal translation of [pic].
[pic]
|a. |[pic] |b. |[pic] |c. |[pic] |d. |[pic] |
____ 8. Graph y = | x | – 3.
|a. |[pic] |c. |[pic] |
|b. |[pic] |d. |[pic] |
Find the value of y for a given value of x, if y varies directly with x.
____ 9. If y = 67 when x = 402, what is y when x = 432?
|a. |–2592 |b. |2592 |c. |72 |d. |–72 |
____ 10. If y = 3.6 when x = –0.36, what is y when x = –0.17?
|a. |1.7 |b. |–0.02 |c. |–1.7 |d. |0.02 |
Determine whether y varies directly with x. If so, find the constant of variation k.
____ 11. 4y = –x
|a. |yes; [pic] |b. |yes; [pic] |c. |yes; –1 |d. |no |
____ 12. –3y = 2x + 21
|a. |yes; 2 |b. |no |c. |yes; –3 |d. |yes; [pic] |
____ 13. The graph models a train’s distance from a river as the train travels at a constant speed. Which equation best represents the relation?
[pic]
|a. |[pic] |b. |[pic] |c. |[pic] |d. |[pic] |
____ 14. Graph the function [pic].
|a. |[pic] |c. |[pic] |
|b. |[pic] |d. |[pic] |
____ 15. The equation [pic] 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. |[pic]; 3 units down; |c. |[pic]; 3 units up; |
| |[pic] | |[pic] |
|b. |[pic]; 3 units down; |d. |[pic]; 3 units up; |
| |[pic] | |[pic] |
____ 16. What is the vertex of the function [pic]?
|a. |([pic], –4) |b. |([pic], –4) |c. |([pic], 4) |d. |([pic], 4) |
Write an equation for the vertical translation.
____ 17. [pic]; 9 units down
|a. |[pic] |c. |[pic] |
|b. |[pic] |d. |[pic] |
____ 18. Write the equation for the translation of [pic].
[pic]
|a. |[pic] |b. |[pic] |c. |[pic] |d. |[pic] |
____ 19. Describe how the graph is like the graph of y = | x | and how it is different.
[pic]
|a. |The graph is the same as y = | x |. |
|b. |The graphs are the same shape. The y-intercept of y = | x | is 0 and the y-intercept of the second graph is –9. |
|c. |The graphs have the same y-intercept. The second graph is steeper than y = | x |. |
|d. |The graphs are the same shape. The y-intercept of y = | x | is 0 and the x-intercept of the second graph is –9. |
____ 20. Which graph shows the best trend line for the following data.
[pic]
|a. |[pic] |c. |[pic] |
|b. |[pic] |d. |[pic] |
____ 21. Write the equation that is the translation of [pic] left 10 units and down 6 units.
|a. |[pic] |c. |[pic] |
|b. |[pic] |d. |[pic] |
____ 22. The equation [pic] 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. |[pic]; 2 units left; |c. |[pic]; 2 units right; |
| |[pic] | |[pic] |
|b. |[pic]; 2 units left; |d. |[pic]; 2 units right; |
| |[pic] | |[pic] |
____ 23. Graph the function [pic].
|a. |[pic] |c. |[pic] |
|b. |[pic] |d. |[pic] |
____ 24. Graph the equation of y = |x| translated 5 units down.
|a. |[pic] |c. |[pic] |
|b. |[pic] |d. |[pic] |
Algebra 2 2.5-2.7 Review
Answer Section
MULTIPLE CHOICE
1. ANS: B PTS: 1 DIF: L3
REF: 6-8 Graphing Absolute Value Equations
OBJ: 6-8.1 Translating Graphs of Absolute Value Equations NAT: NAEP 2005 A2d | ADP K.6
STA: MS A1.3 KEY: translation | absolute value
2. ANS: C PTS: 1 DIF: L2
REF: 6-8 Graphing Absolute Value Equations
OBJ: 6-8.1 Translating Graphs of Absolute Value Equations NAT: NAEP 2005 A2d | ADP K.6
STA: MS A1.3 TOP: 6-8 Example 4
KEY: translation | absolute value | graphing equations
3. ANS: D PTS: 1 DIF: L2
REF: 6-8 Graphing Absolute Value Equations
OBJ: 6-8.1 Translating Graphs of Absolute Value Equations NAT: NAEP 2005 A2d | ADP K.6
STA: MS A1.3 TOP: 6-8 Example 3
KEY: absolute value | translation | graphing
4. ANS: B PTS: 1 DIF: L2
REF: 6-8 Graphing Absolute Value Equations
OBJ: 6-8.1 Translating Graphs of Absolute Value Equations NAT: NAEP 2005 A2d | ADP K.6
STA: MS A1.3 TOP: 6-8 Example 5 KEY: absolute value | translation
5. ANS: C PTS: 1 DIF: L3
REF: 6-8 Graphing Absolute Value Equations
OBJ: 6-8.1 Translating Graphs of Absolute Value Equations NAT: NAEP 2005 A2d | ADP K.6
STA: MS A1.3 TOP: 6-8 Example 3
KEY: absolute value | translation | graphing
6. ANS: B PTS: 1 DIF: L2
REF: 2-5 Absolute Value Functions and Graphs
OBJ: 2-5.1 Graphing Absolute Value Functions STA: MS AII 4b
TOP: 2-5 Example 1 KEY: absolute value
7. ANS: D PTS: 1 DIF: L2 REF: 2-6 Families of Functions
OBJ: 2-6.1 Translating Graphs TOP: 2-6 Example 2
KEY: horizontal translation
8. ANS: D PTS: 1 DIF: L2
REF: 6-8 Graphing Absolute Value Equations
OBJ: 6-8.1 Translating Graphs of Absolute Value Equations NAT: NAEP 2005 A2d | ADP K.6
STA: MS A1.3 TOP: 6-8 Example 2
KEY: absolute value | translation | graphing
9. ANS: C PTS: 1 DIF: L2 REF: 2-3 Direct Variation
OBJ: 2-3.1 Writing and Interpreting a Direct Variation STA: MS AII 5c
TOP: 2-3 Example 4 KEY: direct variation
10. ANS: A PTS: 1 DIF: L2 REF: 2-3 Direct Variation
OBJ: 2-3.1 Writing and Interpreting a Direct Variation STA: MS AII 5c
TOP: 2-3 Example 4 KEY: direct variation
11. ANS: A PTS: 1 DIF: L2 REF: 2-3 Direct Variation
OBJ: 2-3.1 Writing and Interpreting a Direct Variation STA: MS AII 5c
TOP: 2-3 Example 2 KEY: constant of variation
12. ANS: B PTS: 1 DIF: L2 REF: 2-3 Direct Variation
OBJ: 2-3.1 Writing and Interpreting a Direct Variation STA: MS AII 5c
TOP: 2-3 Example 2 KEY: constant of variation
13. ANS: C PTS: 1 DIF: L3
REF: 2-5 Absolute Value Functions and Graphs
OBJ: 2-5.1 Graphing Absolute Value Functions STA: MS AII 4b
TOP: 2-5 Example 4 KEY: constant speed | relation | absolute value
14. ANS: B PTS: 1 DIF: L2 REF: 2-6 Families of Functions
OBJ: 2-6.1 Translating Graphs TOP: 2-6 Example 2
KEY: horizontal translation
15. ANS: D PTS: 1 DIF: L2 REF: 2-6 Families of Functions
OBJ: 2-6.1 Translating Graphs TOP: 2-6 Example 1
KEY: vertical translation | multi-part question
16. ANS: C PTS: 1 DIF: L3
REF: 2-5 Absolute Value Functions and Graphs
OBJ: 2-5.1 Graphing Absolute Value Functions STA: MS AII 4b
TOP: 2-5 Example 1 KEY: absolute value | vertex
17. ANS: D PTS: 1 DIF: L3 REF: 2-6 Families of Functions
OBJ: 2-6.1 Translating Graphs TOP: 2-6 Example 1
KEY: vertical translation
18. ANS: D PTS: 1 DIF: L2 REF: 2-6 Families of Functions
OBJ: 2-6.1 Translating Graphs TOP: 2-6 Example 1
KEY: horizontal translation | vertical translation
19. ANS: B PTS: 1 DIF: L2
REF: 6-8 Graphing Absolute Value Equations
OBJ: 6-8.1 Translating Graphs of Absolute Value Equations NAT: NAEP 2005 A2d | ADP K.6
STA: MS A1.3 TOP: 6-8 Example 1 KEY: absolute value | translation
20. ANS: B PTS: 1 DIF: L2
REF: 6-7 Scatter Plots and Equations of Lines
OBJ: 6-7.1 Writing an Equation for a Trend Line
NAT: NAEP 2005 D2e | NAEP 2005 D2g | NAEP 2005 A2c | NAEP 2005 A2f | ADP I.4.2 | ADP J.4.8 | ADP K.10.2 | ADP L.1.1 | ADP L.1.2 | ADP L.1.5 | ADP L.3.4 STA: MS A1.8.a
TOP: 6-7 Example 1 KEY: scatter plot | graphing | data analysis | trend line
21. ANS: D PTS: 1 DIF: L2 REF: 2-6 Families of Functions
OBJ: 2-6.1 Translating Graphs TOP: 2-6 Example 2
KEY: horizontal translation
22. ANS: A PTS: 1 DIF: L2 REF: 2-6 Families of Functions
OBJ: 2-6.1 Translating Graphs TOP: 2-6 Example 3
KEY: horizontal translation | multi-part question
23. ANS: A PTS: 1 DIF: L2 REF: 2-6 Families of Functions
OBJ: 2-6.2 Stretches | Shrinks | and Reflections TOP: 2-6 Example 4
KEY: stretch and shrink
24. ANS: B PTS: 1 DIF: L3 REF: 2-6 Families of Functions
OBJ: 2-6.1 Translating Graphs TOP: 2-6 Example 1
KEY: vertical translation
................
................
In order to avoid copyright disputes, this page is only a partial summary.
To fulfill the demand for quickly locating and searching documents.
It is intelligent file search solution for home and business.
Related download
- solving absolute value equations
- transformations of absolute value functions
- ch 2 test review notre dame academy
- synthesis write
- alg2x unit 2
- algebra 2 2 clinton public school district
- worksheet piecewise functions
- graphing test review answers oxford school district
- algebra 2 1st 9 weeks exam review clinton public school
- algebra 2 unit 1
Related searches
- ohio public school district rankings
- public school district foundations
- ohio public school district numbers
- florida public school district rankings
- ohio public school district numbers 2019
- what public school district am i in
- philadelphia public school district pa
- kalamazoo public school district calendar
- greenville public school district clever
- michigan public school district maps
- public school district of residence ohio
- ohio public school district maps