Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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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. | (–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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2.
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X(0, –1)
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Identify each transformation as a reflection, translation, dilation, or
rotation.
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3.
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a. | rotation | c. | reflection | b. | translation | d. | dilation |
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Find the coordinates of the vertices of the figure after the given
transformation is performed. Then graph the preimage and its image.
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4.
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triangle ABC with A(–5, –2), B(–3, 2),
and C(–1, –2) reflected over the y-axis
a. | A′(5, –2), B′(3, 2), and C′(1, –2)
 | c. | A′(5, –2), B′(3, 2), and C′(1, –2)  | b. | A′(5, –2), B′(3, 3), and C′(1, –2)  | d. | A′(5, –2), B′(3, 2), and
C′(1, –2)  |
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5.
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parallelogram ABCD with A(–5, –2), B(–4,
2), C(–1, 2), and D(–2, –2) translated 6 units right and 3 units
down.
a. | A′(1, –6), B′(2, –1), C′(5, -1),
D′(4, –6)
 | c. | A′(1, –5), B′(2, –1),
C′(5, –1), D′(4, –5)
 | b. | A′(1, –5), B′(2, –1),
C′(5, –1), D′(4, –5)
 | d. | A′(1,
–5), B′(2, –1), C′(5, –1), D′(4,
–5)
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6.
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triangle LMN with L(–5, –5), M(–5, 5),
N(5, –5) dilated by a scale factor of  .
a. | L′(–2, –2), M′(–2, 2), N′(2,
–2)
| c. | L′(–1, –2), M′(–1, 2), N′(1,
–2)
 | b. | L′(–3, –2), M′(–3, 0), N′(–1,
–2)
 | d. | L′(–1, –1), M′(–1, 1), N′(1,
–1)
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7.
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triangle ABC with A(–4, –3), B(–4, 2),
and C(2, –3) reflected over the y-axis
a. | A′(4, –3), B′(4, –2), and C′(–2,
3)
 | c. | A′(4, –3), B′(4, 2), and C′(–2,
–3)  | b. | A′(4,
–3), B′(4, 2), and C′(–2, –3)  | d. | A′(4,
–3), B′(4, 2), and C′(–2, –3)  |
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Express each relation as a graph and a mapping. Then determine the domain and
range.
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8.
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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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9.
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{(1, –2), (–2, –3), (2, 4), (1, –4)}
a. | 
D = {–2, 1, 2}; R =
{–4, –3, –2, 4} | c. | 
D = {–2, 1, 2}; R =
{–4, –3, –2, 4} | b. | 
D = {–2, 1,
2, 4}; R = {–4, –3, –2} | d. | 
D = {–2, 1, 2}; R =
{–4, –3, –2, 4} |
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Express the relation as a table and a graph. Then determine the domain and
range.
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10.
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{(0, –1), (3, 4), (–4, –3), (0, –3), (–4,
–2)}
a. | 
D = {–4, 0, 3}; R =
{–3, –2, –1, 4} | c. | 
D = {–4, 0, 3}; R =
{–3, –2, –1, 4} | b. | 
D = {–4, 0,
3}; R = {–3, –1, 4} | d. | 
D = {–4, 0, 3}; R =
{–3, –2, –1, 4} |
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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, –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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12.
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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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13.
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3x – y = –1 for x = {–1, 0, 1, 4}
a. | {(–1, –2), (0, 1), (1, 4), (4, 13)}
 | c. | {(–1,
–1), (0, 1), (1, 4), (4, 13)}
 | b. | {(–1, –2), (0, 1), (1, 4), (7,
15)}
 | d. | {(–1,
–2), (0, 1), (1, 4), (4, 13)}
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Determine whether the equation is a linear equation. If so, write the
equation in standard form.
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14.
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a. | yes;  | c. | yes;  | b. | no  | d. | yes;  |
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Graph the equation.
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15.
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16.
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Which relation is a function?
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17.
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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)} |
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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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18.
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 , find  .
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19.
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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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20.
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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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21.
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55, 47, 39, 31, . . .
a. | 36, 41, 46 | c. | 29, 27, 25 |
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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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22.
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11, 19, 27, 35, . . .
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Find the next three terms in the sequence.
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23.
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3, 5, 9, 15, 23, . . .
a. | 33, 45, 59 | c. | 32, 44, 58 |
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b. | 25, 29, 35 | d. | 35, 47, 61 |
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24.
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4, 5, 4, 6, 4, 7, . . .
a. | 8, 4, 9 | c. | 4, 8, 4 |
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b. | 11, 15, 19 | d. | 5, 8, 5 |
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Write an equation in function notation for the relation.
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25.
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