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1. |
Name the sets of numbers to which the value of -16 ÷ 50 belongs. |
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A. |
reals (R), irrationals (I) |
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B. |
reals (R), rationals (Q), integers (Z), whole numbers (W) |
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C. |
reals (R), rationals (Q) |
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D. |
reals (R), rationals (Q), integers (Z) |
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Hint |
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2. |
Choose the relation that is a function. |
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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. |
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. |
71.25°F |
B. |
33°F |
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C. |
63°F |
D. |
111°F |
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Hint |
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4. |
State the slope and y-intercept of the graph of -y = -0.9x + 4. |
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A. |
m = 0.9, b = -4 |
B. |
m = -0.9, b = 4 |
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C. |
m = -4, b = 0.9 |
D. |
m = 4, b = -0.9 |
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Hint |
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5. |
Solve the system of inequalities 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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6. |
A graph of a system of three linear equations in three variables is shown below. How many solutions does the system have? |
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A. |
1 |
B. |
0 |
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C. |
infinite number |
D. |
2 |
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Hint |
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7. |
Determine which ordered triple is a solution of the system of equations. 
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A. |
(-1, 2, -16) |
B. |
(0, 0, 11) |
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C. |
(0, 1, -14) |
D. |
(1, -2, 6) |
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Hint |
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8. |
Solve the system of equations. 
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A. |
(10, -1, 11) |
B. |
(1, -4, 6) |
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C. |
(7, -2, 1) |
D. |
(13, 0, -4) |
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Hint |
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9. |
Solve the equation 3y + 8 = 36. |
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A. |
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B. |
20 |
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C. |
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D. |
4 |
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Hint |
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10. |
Evaluate | 5 (a – 2b) + 3 | if a = -3 and b = 7. |
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A. |
85 |
B. |
82 |
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C. |
-85 |
D. |
88 |
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Hint |
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11. |
Choose the line that has a slope of zero. |
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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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12. |
What is the y-intercept of the graph of the line with equation  |
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A. |
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B. |
7 |
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C. |
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D. |
-7 |
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Hint |
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13. |
Write the equation of the line through (5, -3) and (-2, -8) in slope-intercept form. |
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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. |
A line of fit is drawn on a scatter plot showing the number of pets owned by automobile owners and the number of miles driven each month. What would probably be the best description of the slope of this line? |
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A. |
positive |
B. |
negative |
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C. |
undefined |
D. |
zero |
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Hint |
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15. |
Which graph represents the following system:  |
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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 of the following is an example of a column matrix? |
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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. |
Which of the following properties does not hold for matrices? |
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A. |
left distributive property |
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B. |
commutative property of multiplication |
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C. |
associative property of multiplication |
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D. |
right distributive property |
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Hint |
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18. |
What are the coordinates of the vertices of the image of rectangle HJKL with H(4, 1), J(-3, -2), K(2, -6), and L(-4, 5) after a reflection across the x-axis? |
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A. |
H'(-4, –1), J'(-3, -2), K'(-2, -6), L'(-4, -5) |
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B. |
H'(-4, 1), J'(3, -2), K'(-2, -6), L>'(4, 5) |
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C. |
H'(4, –1), J'(-3, 2), K'(2, 6), L'(-4, -5) |
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D. |
H'(-4, –1), J'(3, 2), K'(-2, 6), L'(4, -5) |
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Hint |
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19. |
Which of the following is the correct rotation matrix for a rotation of 180°counterclockwise about the origin? |
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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 coordinates of the vertices of the image of a triangle FGH with F(-4, 2), G(-3, -3), H(3,4) after it is rotated 270° counterclockwise about the origin. |
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A. |
F'(4, 2), G'(3, -3),H'(-3, 4) |
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B. |
F'(-2, 4), G'(3, 3),H'(-4, -3) |
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C. |
F'(2, 4), G'(-3, 3),H'(4, -3) |
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D. |
F'(2, -4), G'(-3, -3),H'(4, 3) |
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Hint |
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