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1. |
State the domain and the range of the relation {(1, 2), (-4, 2), and
(3, 5)}. Then state whether the relation is a function. |
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A. |
The domain is {-4, 1, 3},
the range is {2, 5}, and the relation is a function. |
B. |
The domain is {2, 5}, the range is {-4, 1, 3}, and the relation is a function. |
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C. |
The domain is {-4, 1, 3}, the range is {2, 5}, and the relation is not a function. |
D. |
The domain is {2, 5}, the range is {-4, 1, 3}, and the relation is not a function. |
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Hint |
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2. |
Find the first three iterates, x1, x2, and x3, of the function
f(x) = 3x - 1 for an initial value x0=1. |
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A. |
-4, -13, -40 |
B. |
5, 14, 41 |
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C. |
8, 23, 88 |
D. |
2, 5, 14 |
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Hint |
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3. |
Find the zero of the function f(x) = -8x + 4. |
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A. |
 |
B. |
 |
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C. |
-2 |
D. |
2 |
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Hint |
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4. |
Find a linear equation that can model the data shown in the graph. |
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A. |
2x + 3y + 6 = 0 |
B. |
3x - 2y + 6 = 0 |
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C. |
2x -3y + 6 = 0 |
D. |
2x + 5y - 3 = 0 |
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Hint |
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5. |
Use a graphing calculator to find the equation of the regression line. |
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A. |
y = 2x - 25 |
B. |
y = 23x - 21,000 |
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C. |
y = 12x - 23,947 |
D. |
y = x - 576 |
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Hint |
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6. |
The math scores, x, and chemistry scores, y, for six students are given in the table. Use a graphing calculator to find the Pearson product-moment correlation. |
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A. |
about 0.65 |
B. |
about 0.71 |
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C. |
about 0.74 |
D. |
about 0.68 |
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Hint |
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7. |
If you use the substitution method to solve the system of equations
3x - 2y = 4 and x + y = 5, which of the following would be the best method?
Method I: Solve the second equation for x, and substitute 5 - y for x into the first equation.
Method II: Solve the second equation for y, and substitute 5 - x for y into the first equation.
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A. |
Method I |
B. |
Both Method I and Method II are correct. |
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C. |
Neither Method I nor Method II is correct. |
D. |
Method II |
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Hint |
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8. |
 |
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A. |
 |
B. |
 |
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C. |
 |
D. |
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Hint |
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9. |
A triangle ABC has vertices A(3, -1), B(4, -2), and C(7, 1). Find the coordinates of the dilated triangle for a scale factor of 3. |
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A. |
A,/i>'(12, -6), B'(21, 3),
C'(-9, -3) |
B. |
A'(9, -3), B'(12, -6),
C'(21, 3) |
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C. |
A'(21, 3), B'(12, -6),
C'(-9, -3) |
D. |
A'(-3, 9), B'(-6, 12),
C'(3, 21) |
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Hint |
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10. |
Find the inverse of  . |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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11. |
Determine the asymptotes for the graph of f(x) =  . |
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A. |
a vertical asymptote at x = 3 and a horizontal asymptote at y = 2 |
B. |
a horizontal asymptote at
x = 3 and a vertical asymptote at y = 2 |
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C. |
none of these |
D. |
a vertical asymptote at x = -3 and a horizontal asymptote at y = 1 |
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Hint |
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12. |
Divide x4 + 2x2 - 1 by x - 1 using synthetic division. The result of synthetic division is ____. |
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A. |
1 1 3 3 | -2 |
B. |
1 3 1 3 | 2 |
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C. |
1 3 1 3 | -2 |
D. |
1 1 3 3 | 2 |
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Hint |
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13. |
Solve   4. |
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A. |
x  8 |
B. |
0 x 8 |
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C. |
none of these |
D. |
x 0 |
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Hint |
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14. |
If the angle the rope makes with the level ground is 46° 30', how long is the rope? |
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A. |
about 47.5 feet |
B. |
about 25.8 feet |
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C. |
about 51.8 feet |
D. |
about 23.6 feet |
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Hint |
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15. |
Write an equation of a line that has no slope and passes through
the point (5,-6). |
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A. |
y = 5 |
B. |
x = -6 |
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C. |
y = -6 |
D. |
x = 5 |
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Hint |
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16. |
What type of relationship does the scatter plot suggest? |
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A. |
a linear relationship with a positive correlation |
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B. |
a linear relationship with a negative correlation |
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C. |
no linear relationship |
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D. |
no correlation |
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Hint |
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17. |
What is the value of y when x = 2? |
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A. |
0 |
B. |
1 |
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C. |
undefined |
D. |
2 |
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Hint |
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18. |
Find the inverse of  . |
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A. |
 |
B. |
 |
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C. |
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D. |
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Hint |
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19. |
Find the minimum value of f(x, y) = x - 4y for the system of inequalities.
2x + y 3
2x + y -2
y 4
x < 1 |
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A. |
-16 |
B. |
16 |
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C. |
-3 |
D. |
-17 |
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Hint |
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20. |
Complete the graph so it is symmetric about the origin. |
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A. |
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B. |
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C. |
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D. |
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Hint |
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