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1. |
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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2. |
Which is the graph 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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3. |
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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4. |
Solve the equation cos x =  . |
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A. |
x equals 150°, 210° or any angle
coterminal with these angles. |
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B. |
x equals 60°, 300° or any angle
coterminal with these angles. |
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C. |
x equals 120°, 240° or any angle
coterminal with these angles. |
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D. |
x equals 30°, 330° or any angle
coterminal with these angles. |
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Hint |
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5. |
Given  and a = 5, b = 2 and A = 115°, find B. |
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A. |
22.5° |
B. |
31.7° |
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C. |
14.6° |
D. |
21.3° |
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Hint |
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6. |
Which is not a true statement about the properties of the graph of
y = sin x? |
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A. |
The domain is the set of real numbers |
B. |
The period is  . |
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C. |
The range is the set of real numbers between -1 and 1, inclusive. |
D. |
The y-intercept is 0. |
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Hint |
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7. |
Write the equation for the inverse of y = Arctan 4x. |
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A. |
y = 2 Tan x |
B. |
y =  Tan x |
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C. |
y = 4 Tan x |
D. |
y =  Tan x |
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Hint |
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8. |
Complete the identity  _______. |
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A. |
cos x |
B. |
cot x |
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C. |
tan x |
D. |
sin x |
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Hint |
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9. |
Use the sum or difference identity for tangent to find the exact value
of tan 255°. |
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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. |
Solve  cos x - 1 = 0 for all real values of x. |
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A. |
 +  k |
B. |
 +2k,  + 2k |
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C. |
+ 2k,  +2k |
D. |
 +2k,  + 2k |
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Hint |
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11. |
Write the standard form of the equation of a line for which the length of the normal segment to the origin is 10 and the normal makes an angle of with the positive x-axis. |
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A. |
x + y + 20 = 0 |
B. |
x + y - 20 = 0 |
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C. |
x - y + 20 = 0 |
D. |
x - y - 20 = 0 |
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Hint |
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12. |
A quantity with only magnitude is called a _____. |
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A. |
vector |
B. |
matrix |
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C. |
scalar |
D. |
resultant |
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Hint |
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13. |
A twig bobs up and down in the water. It moves from its highest point down to its lowest point and back every 12 seconds. The distance between its highest and lowest points is 3.2 centimeters. Write a sine function that models the movement of the twig in relation to the equilibrium point. |
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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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14. |
Use two ordered pairs to write the equation of a best-fit line. |
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A. |
y = 5x |
B. |
y = 3x + 72 |
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C. |
y = 3x |
D. |
y = 5x + 75 |
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Hint |
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15. |
Find the value of the determinant  . |
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A. |
-43 |
B. |
-3 |
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C. |
-25 |
D. |
-29 |
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Hint |
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16. |
Solve the system of inequalities by graphing.
2x + y  3
2x + y  -2
y 4
x < 1 |
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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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17. |
Find the value of cos (x - y) if 0 < x <  , 0 < y < , sin x =  , and cos y =  . |
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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. |
Use a half-angle identity to find the exact value of tan  . |
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A. |
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B. |
- |
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C. |
- |
D. |
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Hint |
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19. |
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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20. |
Find the quotient  . Express the result in rectangular form. |
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A. |
1.07 + 6.92i |
B. |
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C. |
-6.96 - 0.76i |
D. |
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Hint |
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