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1. |
Describe the graph. |
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A. |
not a relation but a function |
B. |
neither a relation nor a function |
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C. |
relation and function |
D. |
relation but not function |
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Hint |
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2. |
Determine the equation of the perpendicular bisector of the line segment with endpoints S(2, 6) and T(10, -4). |
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A. |
5x + 4y + 19 = 0 |
B. |
4x - 5y - 19 = 0 |
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C. |
4x - 5y + 19 = 0 |
D. |
5x - 4y - 19 = 0 |
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Hint |
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3. |
Determine two points that appear to represent the data in the scatter plot. Then find and interpret the slope. |
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A. |
Mary improved her free throw performance from year-to-year by an average of about 10%. |
B. |
Mary improved her free throw performance from year-to-year by an average of about 20% |
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C. |
Mary improved her free throw performance from year-to-year by an average of about 15% |
D. |
Mary improved her free throw performance from year-to-year by an average of about 25%. |
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Hint |
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4. |
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 0.74 |
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C. |
about 0.68 |
D. |
about 0.71 |
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Hint |
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5. |
Which is the graph of the inequality x + 2y - 2 0? |
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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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6. |
Solve the system of equations y = 0.5x and 4y = x - 2 by graphing. |
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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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7. |
If you solve the following system of equations by substitution, which statement is true?
x = z x - 2y + z = 6 2x + y - 2z = 1
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A. |
Neither method will work. |
B. |
You can substitute x for z into the second and third equations. |
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C. |
Both methods will work. |
D. |
You can substitute z for x into the second and third equations. |
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Hint |
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8. |
Which of the following shows the system of equations using a matrix equation? |
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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. |
Sketch the graph of the function f(x) = |x2 - 6|. |
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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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10. |
State the degree of the polynomial function f(x) = x4 - 2x2 + 3x - 1. |
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A. |
4 |
B. |
5 |
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C. |
3 |
D. |
2 |
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Hint |
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11. |
If you solve x2 - 8x - 20 = 0 by the method of completing the square, add 20 to each side and then ____. |
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A. |
add 16 to each side |
B. |
add 4 to each side |
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C. |
add 8 to each side |
D. |
add 32 to each side |
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Hint |
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12. |
If you solve 2m2 + 8m + 1 = 0 by completing the square, first divide each side of the equation by ____. |
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A. |
1 |
B. |
8 |
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C. |
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D. |
2 |
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Hint |
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13. |
Find the discriminant of x2 - 2x + 20 = 0. |
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A. |
76 |
B. |
-72 |
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C. |
72 |
D. |
-76 |
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Hint |
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14. |
If you divide a polynomial by the factor x + 6 and a remainder of zero results, which conclusion is true? |
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A. |
x + 6 is a factor of the polynomial. |
B. |
x - 6 is a factor of the polynomial. |
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C. |
x - 6 is not a factor of the polynomial. |
D. |
x + 6 is not a factor of the polynomial. |
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Hint |
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15. |
Solve > 0. |
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A. |
-2 < x < 0 or x < 1 |
B. |
-1 < x < 0 or x > 1 |
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C. |
-1 < x < 0 or x > 2 |
D. |
-2 < x < 0 or x > 2 |
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Hint |
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16. |
Solve . |
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A. |
4 |
B. |
8 |
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C. |
-6 |
D. |
-10 |
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Hint |
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17. |
Graph the equation 3x + 2y = 0 |
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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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18. |
Which is the graph of the inequality 2x + y + 3 >0? |
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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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19. |
The function f(x) = -(x - 3)2 + 4 has a critical point at x = 3. Determine and classify this point. |
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A. |
(3,4) is the absolute maximum of this function. |
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B. |
(3,4) is the point of inflection. |
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C. |
(3,4) is the absolute minimum of this function. |
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D. |
(3,4) is the relative maximum of this function. |
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Hint |
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20. |
If y varies inversely as the cube of x and y = 8 when x = 2, find x when y = 1. |
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A. |
x = 4 |
B. |
x = 2 |
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C. |
x = 8 |
D. |
x = 1 |
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Hint |
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