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1. |
In a science experiment, students hung a cup from a spring and measured the length of the spring when candies were added to it. Their data are shown in the table below. Which statement is true? |
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A. |
The relation is a function because the range values increase. |
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B. |
The relation is not a function because there are two y values for some x values. |
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C. |
The relation is not a function because only a line can be a function. |
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D. |
The relation is a function because for each x value, there is exactly one y value. |
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Hint |
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2. |
The temperature f(x) of water in a lake in degrees Fahrenheit is estimated by the function shown below, where x is the depth in feet of the water. What would be the temperature of water 30 feet below the surface? |
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A. |
111°F |
B. |
71.25°F |
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C. |
63°F |
D. |
33°F |
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Hint |
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3. |
The table below shows the land-speed records to the nearest mile per hour. Draw a scatter plot for the data and use it to predict the approximate land-speed record for the year 2005. Assume the rate of increase of speed records remains the same. |
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A. |
980 mph |
B. |
600 mph |
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C. |
830 mph |
D. |
700 mph |
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Hint |
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4. |
When two lines have different slopes, the graphs of the equations are _________ |
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A. |
horizontal lines. |
B. |
parallel lines. |
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C. |
intersecting lines. |
D. |
the same line. |
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Hint |
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5. |
Determine which matrix has a determinant. |
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A. |
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B. |
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C. |
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D. |
[1 -4 -8] |
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Hint |
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6. |
Express 45,280,000 in scientific notation. |
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A. |
4.528 × 107 |
B. |
4.528 × 106 |
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C. |
45.28 × 106 |
D. |
4.528 × 10-7 |
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Hint |
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7. |
Use synthetic division to find  |
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A. |
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B. |
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C. |
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D. |
2d3 - d2 + 2d - 4 + 5 |
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Hint |
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8. |
Simplify  |
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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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9. |
Find the product of -15i and its conjugate. |
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A. |
225 |
B. |
225i |
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C. |
-225 |
D. |
15i |
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Hint |
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10. |
Find the coordinates of the vertices of a hyperbola with equation
y2 - 4x2 - 6y - 16x - 11 = 0. |
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A. |
(-6, 3), (2, 3) |
B. |
(-2, 7), (-2, -1) |
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C. |
(-4, 3), (2, 3) |
D. |
(-2, 1), (-2, 5) |
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Hint |
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11. |
Solve the inequality | f | > 4. |
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A. |
{f | f > -4 or f < 4} |
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B. |
{f | -4 < f < 4} |
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C. |
{f | -4 > f > 4} |
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D. |
{f | f < -4 or f > 4} |
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Hint |
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12. |
Solve the system of equations 3x – 5y = 4
–2x + 4y = 3. |
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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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13. |
Solve the system 4y – 6x + 8z = 13, 10y – 15x + 20z = 6, y – 5x + 2z = 5. |
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A. |
no solution |
B. |
infinite solutions |
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C. |
(-3, 1, 7) |
D. |
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Hint |
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14. |
State whether the product of A3 × 4 and B3 × 4 is defined, and if it is defined, state the dimensions. |
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A. |
undefined |
B. |
defined, 4 × 3 |
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C. |
defined, 9 × 16 |
D. |
defined, 3 × 4 |
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Hint |
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15. |
Determine whether the expression 5x3y3 – x2y2 is a polynomial. |
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A. |
Cannot be determined from given information. |
B. |
No, because there are two variables. |
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C. |
Yes. |
D. |
No, because there are two terms. |
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Hint |
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16. |
Simplify  |
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A. |
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B. |
t |
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C. |
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D. |
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Hint |
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17. |
Solve  by graphing. |
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A. |
{x| 0 < x < 3} |
B. |
{x| –1.12 < x < 3.12} |
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C. |
{x| 0 < x < 3.12} |
D. |
{x| –1.12 < x < 0} |
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Hint |
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18. |
What are the x- and y-intercepts of  ? |
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A. |
x: no intercept, y: |
B. |
x:, y: –5 |
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C. |
x: 5, y: |
D. |
x: –5, y: |
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Hint |
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19. |
Write an equation for the ellipse whose endpoints of its major axis are at (-1, 3) and (5, 3), and whose foci are at (0, 3) and (4, 3). |
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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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20. |
What are the equations of the asymptotes of  ? |
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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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