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1. |
Given f(x) = 3x + 2x - 2 and g(x) = 4x + 1, find  |
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A. |
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B. |
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C. |
3x2 - 2x - 3 |
D. |
3x2 + 6x - 1 |
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Hint |
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2. |
Write the standard form of the equation of the line that passes through the point (-1, 3) and is parallel to the graph of 2x - 7y + 1 = 0. |
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A. |
2x + 7y - 23 = 0 |
B. |
2x + 7y + 23 = 0 |
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C. |
2x - 7y - 23 = 0 |
D. |
2x - 7y + 23 = 0 |
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Hint |
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3. |
What type of relationship or pattern does the scatter plot suggest? |
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 |
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A. |
none of these |
B. |
a linear relationship whose data have a negative relationship |
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C. |
no pattern |
D. |
a linear relationship whose data have a positive relationship |
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Hint |
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4. |
The profit for each unit of lumber is $40 and the profit for each unit of plywood is $60. Write a profit function P(x, y) if x = the number of units of lumber and y = the number of units of plywood. |
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A. |
P(x, y) = 60x + 40y |
B. |
P(x, y) = 60x - 40y |
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C. |
P(x, y) = 40x + 60y |
D. |
P(x, y) = 40x - 60y |
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Hint |
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5. |
Solve |x + 4| > 2. |
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A. |
-6 < x < -2 |
B. |
x < -6 |
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C. |
x > -6 or x < -2 |
D. |
x < -6 or x > -2 |
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Hint |
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6. |
A regular pentagon is inscribed in a circle with diameter 20 centimeters. The apothem of a regular polygon is the measure of a line segment from the center of the polygon to the midpint of one of its sides. Find the apothem of the pentagon. |
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A. |
about 18.87 cm |
B. |
about 5.30 cm |
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C. |
about 8.09 cm |
D. |
about 11.79 cm |
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Hint |
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7. |
If f = 9 and d = 13, find the measure of  . |
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A. |
about 46.2° |
B. |
about 55.3° |
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C. |
about 34.7° |
D. |
about 43.8° |
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Hint |
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8. |
Find the area of a sector if the central angle measures  radians and the radius of the circle is 22 centimeters. Round to the nearest tenth. |
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A. |
253.4 cm2 |
B. |
1013.7 cm2 |
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C. |
231.1 cm2 |
D. |
506.8 cm2 |
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Hint |
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9. |
Determine the angular velocity if 4.5 revolutions are completed in 7 seconds. Round to the nearest tenth. |
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A. |
5.01 radians/s |
B. |
2.0 radians/s |
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C. |
4.0 radians/s |
D. |
11.1 radians/s |
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Hint |
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10. |
If csc  = 2, find sin . |
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A. |
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B. |
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C. |
2 |
D. |
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Hint |
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11. |
Consider the equation -x + 2y - 5 = 0. Find the length of the normal and the angle it makes with the positive x-axis. |
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A. |
 ; 63° |
B. |
; 243° |
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C. |
; 117° |
D. |
; 297° |
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Hint |
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12. |
For the graph of y = bx, the domain is _____. |
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A. |
all real numbers  |
B. |
all real numbers > 0 |
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C. |
all real numbers |
D. |
all real numbers  |
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Hint |
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13. |
Graph y = log10 (x + 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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14. |
Given f(x) = x-5 and g(x) = x2+ 3,find (f · g)(x). |
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A. |
x3 +5x2 +3x-15 |
B. |
x2 –2x-15 |
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C. |
x3 –5x2 +3x -15 |
D. |
4x3 –2x |
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Hint |
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15. |
Which is the graph of the compound inequality 0  x + y 4? |
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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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16. |
Which is the graph of the inequality y > |2x + 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. |
Solve the system of three equations by elimination: 5x + 2y - 3z = 10
2x - 2y + 4z = 6
x - y + 2z = 3
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A. |
no solution |
B. |
(2, -5, 3) |
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C. |
infinite solutions |
D. |
(3, 4, 2) |
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Hint |
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18. |
Find a numerical value of one trigonometric function of x if
sin x (tan x + cot x) = 2. |
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A. |
sec x =  |
B. |
cos x = |
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C. |
sin x = |
D. |
csc x = |
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Hint |
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19. |
Write the rectangular equation x2 + (y + 6)2 = 36 in polar form. |
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A. |
r = 12 sin  |
B. |
r = -6 sin |
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C. |
r = 6 sin |
D. |
r = -12 sin |
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Hint |
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20. |
Solve 7x = 6x + 2. |
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A. |
-27.4312 |
B. |
-23.2469 |
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C. |
23.2469 |
D. |
11.6234 |
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Hint |
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