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1. |
Which graph best matches the following statement?
You go on a diet and lose 25 pounds steadily over three months. Then you maintain your weight. |
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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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2. |
Name the set of numbers that is graphed below. |
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A. |
{-6, -3, 0, 2, 4} |
B. |
{-6, -3, 2, 4} |
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C. |
{-3, 2, 4} |
D. |
{all integers} |
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3. |
A 50-mile trip uses 2 gallons of gas. How much gas would you use on a 115-mile trip? |
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A. |
4.6 gallons |
B. |
4 gallons |
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C. |
5 gallons |
D. |
25 gallons |
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Hint |
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4. |
The equation V = -32t + 256 and the graph below describe the velocity V in feet per second of a ball t seconds after is is shot into the air. What is the ball's velocity after seven seconds? |
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A. |
480 ft/s |
B. |
0 ft/s |
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C. |
256 ft/s |
D. |
32 ft/s |
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Hint |
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5. |
Find the solution to the sentence, ''2 times the sum of a number and 4 is at least 6 times the number decreased by 8''. |
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B. |
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D. |
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6. |
Use the graph below to determine if the given system of equations has one solution, no solution, or infinitely many solutions. If the system has one solution, name it.
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A. |
infinitely many solutions |
B. |
no solution |
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C. |
one solution at  . |
D. |
one solution at (-6, 0) |
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Hint |
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7. |
Solve 5x2 – 10x = 0. |
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A. |
x = 0 or x = -2 |
B. |
x = 0 |
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C. |
x = 2 |
D. |
x = 0 or x = 2 |
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Hint |
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8. |
Simplify  |
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A. |
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B. |
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D. |
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9. |
Simplify  . |
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A. |
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B. |
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D. |
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10. |
Which are the vertices of an isosceles triangle? |
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A. |
A(6, 3), B(-2, 4), C(2, 11) |
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B. |
G(5, 1), H(-4, 3), I(2, 6) |
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C. |
J(0, 4), K(-3, -4), L(1, -5) |
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D. |
D(2, -6), E(1, -5), F(8, 0) |
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Hint |
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11. |
Find the solution of 2(x – 5) = 30
if the replacement set is {19, 20, 21, 22}. |
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A. |
19 |
B. |
22 |
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C. |
20 |
D. |
21 |
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12. |
Name the property used in the equation 17 × c = 17. Then solve for c. |
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A. |
Multiplicative Identity; c = 1 |
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B. |
Multiplicative Property of Zero; c= 0 |
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C. |
Additive Identity; c = 0 |
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D. |
Multiplicative Inverse; c =  |
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Hint |
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13. |
Identify the conclusion in the following algebraic statement:
If a = 3, then 2a + 1 = 7. |
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A. |
2a + 1 |
B. |
2a + 1 = 7 |
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C. |
2a |
D. |
a = 3 |
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Hint |
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14. |
Which values are a counterexample to the given statement?
If x · y = a decimal, then neither x nor y is a whole number. |
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A. |
x = 1, y = 0.5 |
B. |
x = 0.3, y = 0.2 |
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C. |
x = 7.1, y = 2.2 |
D. |
x = 1.75, y = 0.9 |
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Hint |
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15. |
Identify the hypothesis in the following statement: If x – 3 = 9, then x = 12. |
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A. |
x – 3 |
B. |
x = 12 |
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C. |
x |
D. |
x – 3 = 9 |
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Hint |
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16. |
Xenxang drove 60 miles to visit his daughter. On the way to his daughter's house the trip took 1 hour and 15 minutes. On the way back from his daughter's house the trip took 1 hour and 30 minutes. Rounded to the nearest mile per hour, what was Xenxang's average speed for the round trip? |
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A. |
46 miles per hour |
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B. |
48 miles per hour |
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C. |
44 miles per hour |
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D. |
40 miles per hour |
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Hint |
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17. |
Find the solution set for y =  x – 3, given the replacement set {(-8, -7), (-5, -5), (0, 3), (4, 5)} |
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A. |
{(-5, -5), (4, 5)} |
B. |
{(-8, -7), (0, 3)} |
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C. |
{(-8, -7)} |
D. |
{(-5, -5)} |
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Hint |
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18. |
Solve x – 72 > 21. |
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A. |
x > -51 |
B. |
x > 51 |
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C. |
x > 93 |
D. |
x > -93 |
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Hint |
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19. |
Express 2.38 × 106 in standard notation. |
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A. |
2,380,000 |
B. |
0.00000238 |
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C. |
238,000 |
D. |
0.000000238 |
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Hint |
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20. |
How many real roots are there for the equation 2x2 + 6x + 3? |
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A. |
2 |
B. |
1 |
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C. |
cannot be determined from given information |
D. |
0 |
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Hint |
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