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1. |
A feasible region has vertices at (4, 6), (-2, 3), (2, -2), and (3, 1). At which point is the maximum value of the function f(x, y) = 2x + y? |
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A. |
f(3, 1) |
B. |
f(4, 6) |
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C. |
f(-2, 3) |
D. |
f(2, -2) |
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Hint |
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2. |
In which figure is  a median and an angle bisector of 
and  is an altitude? |
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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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3. |
In the figure shown,  is an exterior angle of  Which
statement is correct? |
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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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4. |
Solve the proportion  |
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A. |
1 |
B. |
 |
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C. |
-6 |
D. |
2 |
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Hint |
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5. |
Solve m2 - 2m = 15 by factoring. |
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A. |
-3, 5 |
B. |
5 |
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C. |
3 |
D. |
-5, 3 |
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Hint |
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6. |
Write an expression for the area of the rectangle shown below. |
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A. |
9x2y4 + 12x4y3 |
B. |
6xy2 + 7x3y |
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C. |
6xy2 + 4x3y |
D. |
12xy2 + 4x3y |
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Hint |
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7. |
What is the volume of a right rectangular prism that is 3 inches by 5 inches by 8 inches. |
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A. |
55 in3 |
B. |
158 in3 |
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C. |
120 in3 |
D. |
144 in3 |
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Hint |
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8. |
To show that a conjecture is false, you need to provide one _____. |
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A. |
possibility |
B. |
theorem |
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C. |
counterexample |
D. |
guess |
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Hint |
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9. |
The segment that has one endpoint at one of the vertices of a triangle and its other endpoint on a line containing the opposite side of the triangle, and is perpendicular to the opposite side of the triangle, is called the __________. |
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A. |
perpendicular bisector |
B. |
angle bisector |
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C. |
altitude |
D. |
median |
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Hint |
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10. |
Which of the following special right triangles can have a Pythagorean triple as the lengths of its sides? |
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A. |
a 45°-45°-90° triangle |
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B. |
both a 45°-45°-90° triangle and a 30°-60°-90° triangle |
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C. |
a 30°-60°-90° triangle |
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D. |
neither a 45°-45°-90° triangle nor a 30°-60°-90° triangle |
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Hint |
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11. |
Find the value of x. |
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A. |
 |
B. |
10 |
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C. |
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D. |
 |
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Hint |
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12. |
Is the relation shown in the graph a function? Why or why not? |
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A. |
No, the relation contains the ordered pairs (0, -1) and (3, -1). |
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B. |
Yes, the ordered pairs (-3, 2), (-1, 1), and (3, -1) form a straight line. |
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C. |
No, the relation contains the ordered pairs (3, -1) and (3, 2). |
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D. |
Yes, the relation contains very few ordered pairs. |
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Hint |
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13. |
Consider the function f (x) = -2(x + 8). Is this function a linear function? Why or why not? |
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A. |
Yes, the function can be written in the form f (x) = mx + b. |
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B. |
Yes, the coefficient of x is not zero. |
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C. |
No, f is not a function. |
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D. |
No, the function cannot be written in the form f (x) = mx + b. |
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Hint |
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14. |
Use substitution to solve the system of equations given by y =  and 28x – 32y = -8. |
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A. |
no solution |
B. |
(2, 2) |
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C. |
infinitely many solutions |
D. |
(1, 1) |
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Hint |
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15. |
A bag contains 10 red marbles, 5 gray marbles, 12 black marbles, and 8 white marbles. Two marbles are randomly drawn from the bag without replacement. What is the probability of drawing a black marble followed by a red marble? |
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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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16. |
 is a real number and  and  is a real number and  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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17. |
If  and  what is  |
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A. |
–36 |
B. |
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C. |
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D. |
–13 |
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Hint |
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18. |
Complete. 13 yd = ______ft |
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A. |
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B. |
39 |
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C. |
26 |
D. |
13 |
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Hint |
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19. |
Solve  by the method of determinants. Round to the nearest hundredth. |
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A. |
(2.46, 1.20) |
B. |
(-1.86, -2.20) |
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C. |
(1.68, 4.40) |
D. |
(1.86, 2.20) |
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Hint |
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20. |
Factor x2 - 2x - 8. |
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A. |
(x + 8)(x + 1) |
B. |
(x + 2)(x - 4) |
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C. |
(x - 2)(x + 4) |
D. |
(x - 8)(x + 1) |
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Hint |
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