Multiple Choice
Identify the
letter of the choice that best completes the statement or answers the question.
Do Not Write on Test!
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Write the ordered pair for the point shown on the graph. Name the quadrant in which
the point is located.
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1.
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a. | (–1,
–4); I | c. | (–4, 1);
none | b. | (–4,
–1); III | d. | (–4,
–1); none | | | | |
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2.
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a. | (–3, 5);
II | c. | (5, –3);
IV | b. | (–3,
–5); III | d. | (3, 5);
I | | | | |
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Plot the point on a coordinate plane.
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3.
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N(4, 1)
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Identify each transformation as a reflection, translation, dilation, or
rotation.
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4.
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a. | translation | c. | dilation | b. | reflection | d. | rotation | | | | |
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5.
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a. | rotation | c. | reflection | b. | translation | d. | dilation | | | | |
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Express each relation as a graph and a mapping. Then determine the domain and
range.
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6.
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{(3,
1), (2, –5), (2, 4), (3, 3)} a. |
D = {2, 3}; R = {–5, 1, 3,
4} | c. |
D = {2, 3}; R = {–5, 1, 3, 4} | b. |
D = {2, 3}; R = {–5, 1, 3, 4} | d. |
D = {2, 3}; R = {–5, 1, 3,
4} | | | | |
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7.
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{(1,
1), (–2, 3), (2, 4), (3, 1)} a. |
D = {–2, 1, 3}; R = {1, 3, 4} | c. |
D = {–2, 1, 2, 3}; R = {1, 3, 4} | b. |
D = {–2, 1, 2, 3}; R = {1, 3, 4} | d. |
D = {–2, 1, 2, 3}; R = {1, 3,
4} | | | | |
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8.
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{(1,
0), (–2, –3), (2, 1), (2, 0)} a. |
D = {–2, 1, 2}; R = {–3, 0,
1} | c. |
D = {–2, 1, 2}; R = {–3, 0, 1} | b. |
D = {–3, 0, 1}; R = {–2, 1,
2} | d. |
D = {–2, 1, 2}; R = {–3, 0, 1} | | | | |
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Express the relation as a table and a graph. Then determine the domain and
range.
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9.
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{(4,
0), (3, 2), (3, 0), (–3, –2), (4, –1)} a. | D = {–3, 3,
4}; R = {–2, –1, 0, 2} | c. | D = {–3, 3, 4}; R = {–2, –1, 0,
2} | b. | D = {–3, 3,
4}; R = {–2, –1, 0, 2} | d. | D = {–2, –1, 0, 2}; R = {–3, 3,
4} | | | | |
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10.
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{(5,
–2), (4, 4), (2, –3), (0, 5), (1, 5)} a. | D = {0, 1, 2, 4, 5}; R = {–3, –2, 4,
5} | c. | D = {0, 1, 2, 4,
5}; R = {–3, –2, 4, 5} | b. | D = {0, 1, 2, 4, 5}; R = {–3, –2, 4,
5} | d. | D = {0, 1, 2, 4
}; R = {–3, –2, 4, 5} | | | | |
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Express the relation shown in each table, mapping, or graph as a set of ordered
pairs. Then write the inverse of the relation.
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11.
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a. | Relation: {(3,
5), (4, 2), (2, 6)}
Inverse: {(5, 3), (2, 4), (6, 2)} | b. | Relation: {(5,
3), (2, 4), (3, 3), (6, 2)}
Inverse: {(3, 5), (4, 2), (3, 3), (2,
6)} | c. | Relation: {(3,
5), (4, 2), (3, 3), (2, 6)}
Inverse: {(3, 5), (2, 4), (3, 5), (6,
2)} | d. | Relation: {(3,
5), (4, 2), (3, 3), (2, 6)}
Inverse: {(5, 3), (2, 4), (3, 3), (6,
2)} | | |
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12.
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a. | Relation: {(3,
–4), (3, 6), (3, 5)}
Inverse: {(–4, 3), (6, 3), (5,
3)} | b. | Relation: {(3,
–4), (3, 6), (–5, –1), (3, 5)}
Inverse:
{(–4, 3), (6, 3), (–1, –5), (5, 3)} | c. | Relation:
{(–4, 3), (6, 3), (–1, –5), (5, 3)}
Inverse: {(3,
–4), (3, 6), (–5, –1), (3, 5)} | d. | Relation: {(3,
–4), (3, 6), (–5, –1), (3, 5)}
Inverse: {(3,
–4), (6, 3), (3, –4), (5, 3)} | | |
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Find the solution set for the equation, given the replacement
set.
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13.
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y = 7x + 6; {(5, 41), (6, 44), (4, 39), (7, 42)} a. | {(7,
42)} | c. | {(6,
44)} | b. | {(4,
39)} | d. | {(5,
41)} | | | | |
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14.
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–x + 5y = –2; {(7, 1.6), (5, 0.6), (6, 3.6), (4,
–1.4)} a. | {(5,
0.6)} | c. | {(6,
3.6)} | b. | {(4, –1.4)} | d. | {(7, 1.6)} | | | | |
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Solve the equation for the given domain. Graph the solution set.
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15.
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y = 2x – 1 for x = {–3, –1, 1, 2,
3} a. | {(–3,
–7), (–1, –3), (1, 1), (5, 5), (3, 5)}
| c. | {(–3, –7), (–1, –3), (1, 1), (2, 3), (3,
5)}
| b. | {(–3,
–6), (–1, –3), (1, 1), (2, 3), (3, 5)}
| d. | {(–3, –7), (–1, –3), (1, 1), (2, 3), (3,
5)}
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Determine whether the equation is a linear equation. If so, write the equation in
standard form.
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16.
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a. | yes;  | c. | no  | b. | yes;  | d. | yes;  | | | | |
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17.
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a. | yes;  | c. | yes;  | b. | no  | d. | yes;  | | | | |
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Graph the equation.
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18.
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19.
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Which
relation is a function?
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20.
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Which
relation is a function?
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21.
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Which
relation is a function?
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22.
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Which
relation is a function? a. | {(5, 3), (2, 8), (–5, –1), (4, 7), (2,
1)} | c. | {(–5, 3),
(2, 8), (–5, –1), (4, 7), (2, 2)} | b. | {(5, 3), (2, 8),
(–5, –1), (4, 7), (5, 7)} | d. | {(5, 3), (2, 8), (–5, –1), (4, 7), (–2,
1)} | | | | |
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23.
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Which
relation is a function?
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24.
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 , find  .
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25.
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If
 , find  .
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Determine whether the sequence is an arithmetic sequence. If it is, state the
common difference.
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26.
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5, 0,
–5, –10, . . . a. | yes, –5 | c. | yes, 3 | b. | no | d. | yes,
4 | | | | |
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Find the next three terms of the arithmetic sequence.
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27.
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55,
47, 39, 31, . . . a. | 36, 41,
46 | c. | 29, 27,
25 | b. | 23, 15,
7 | d. | 26, 21,
16 | | | | |
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Write an equation for the nth term of the arithmetic sequence.
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28.
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11,
19, 27, 35, . . .
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Find the next three terms in the sequence.
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29.
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3, 5,
9, 15, 23, . . . a. | 33, 45,
59 | c. | 32, 44,
58 | b. | 25, 29,
35 | d. | 35, 47,
61 | | | | |
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30.
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6, 7,
9, 12, 16, . . . a. | 22, 28,
35 | c. | 20, 26,
33 | b. | 21, 27,
34 | d. | 22, 29,
36 | | | | |
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31.
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12,
9, 13, 10, 14, 11, . . . a. | 16, 12, 17 | c. | 15, 12, 16 | b. | 15, 13,
16 | d. | 14, 12,
15 | | | | |
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32.
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10,
13, 19, 28, 40, . . . a. | 52, 67, 85 | c. | 53, 71, 92 | b. | 56, 74,
95 | d. | 55, 73,
94 | | | | |
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33.
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1, 4,
16, 64, . . . a. | 256, 1024,
4096 | c. | 246, 984,
3936 | b. | 68, 72,
76 | d. | 192, 576,
1728 | | | | |
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34.
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4, 5,
4, 6, 4, 7, . . . a. | 8, 4,
9 | c. | 4, 8,
4 | b. | 11, 15,
19 | d. | 5, 8,
5 | | | | |
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35.
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x, x + 2, x + 4, x + 6, . . . a. | x + 7,
x + 8, x + 9 | c. | x + 10,
x + 12, x + 14 | b. | x + 7, x + 9, x +
11 | d. | x + 8,
x + 10, x + 12 | | | | |
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Write an equation in function notation for the relation.
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36.
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Find the midpoint of the line segment with endpoints at the given
coordinates.
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37.
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a. | ( , –9) | c. | (–20, –5) | b. | ( ,  ) | d. | ( ,  ) | | | | |
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38.
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a. | ( , –18) | c. | ( ,  ) | b. | (–10,
–25) | d. | ( ,  ) | | | | |
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Find the coordinates of the midpoint of a segment having the given
endpoints.
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39.
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40.
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