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1. |
Triangle FGH has vertices F(12, 6), G(8, 1), and H(-4, 4). If the triangle is reduced so that the resulting perimeter is half the original perimeter, what are the coordinates of F'? |
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A. |
(4, 2) |
B. |
(6, 6) |
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C. |
(-2, -2) |
D. |
(6, 3) |
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Hint |
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2. |
Find 3 |
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A. |
 |
B. |
 |
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C. |
 |
D. |
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Hint |
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3. |
State the additive inverse of -32. |
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A. |
-32 |
B. |
0 |
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C. |
1 |
D. |
32 |
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Hint |
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4. |
Determine if the following conjecture is true or false? Explain. Given: x2 = 4
Conjecture: x = 4 or x = -4 |
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A. |
True; squaring a positive number results in a positive number and squaring a negative number results in a positive number. |
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B. |
False; the square root of a positive number is always a positive number. |
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C. |
False; the square root of 4 is 2 or -2. |
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D. |
True; two answers are always more accurate than one answer. |
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Hint |
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5. |
In the figure,  intersects  at H. Which additional fact is needed to prove  by ASA? |
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A. |
 |
B. |
   |
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C. |
  |
D. |
  |
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Hint |
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6. |
The _______________ states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side. |
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A. |
Definition of a Triangle |
B. |
Triangle Inequality Theorem |
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C. |
Triangle Equality Theorem |
D. |
Definition of an Inequality |
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Hint |
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7. |
Marty has a piece of rope with exactly 7 knots tied at equal intervals as shown. Using the rope, he wants to make triangles so that each vertex of the triangle occurs at a knot. How many different triangles can Marty make? |
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A. |
2 |
B. |
4 |
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C. |
3 |
D. |
1 |
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Hint |
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8. |
The scores on a national achievement test are normally distributed with a mean of 50 and a standard deviation of 10. Out of a group of 200 students, how many would you expect to score more than 70? |
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A. |
1 |
B. |
32 |
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C. |
10 |
D. |
5 |
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Hint |
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9. |
Use substitution to solve the system of equations.
5x + 5y = -30
2x - y = 15 |
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A. |
(21, 27) |
B. |
no solution |
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C. |
infinitely many solutions |
D. |
(3, -9) |
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Hint |
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10. |
Which point is not a solution for the system of inequalities? |
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A. |
(-3, 7) |
B. |
(-2, -7) |
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C. |
(3, -3) |
D. |
(2, -5) |
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Hint |
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11. |
If A(2, 4) is reflected over the x-axis, what are its new coordinates? |
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A. |
(-2, -4) |
B. |
(4, 2) |
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C. |
(2, -4) |
D. |
(-2, 4) |
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Hint |
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12. |
A certain basketball team had 7 wins and 12 losses in a season. Which is a valid conjecture based on this information? |
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A. |
The team played 19 games.. |
B. |
The team finished 5th in their conference. |
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C. |
The team won their last 5 games. |
D. |
The team was undefeated. |
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Hint |
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13. |
A composition teacher needs to choose 10 students out of 15 to serve as rough draft reviewers. A group of 10 seniors, 3 juniors, and 2 sophomores have volunteered. How many different ways can the teacher choose 10 students? |
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A. |
36,036 |
B. |
3,003 |
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C. |
360,360 |
D. |
133,133 |
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Hint |
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14. |
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 gray marble followed by another gray 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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15. |
 is a real number and  and  is a real number and x<3}. 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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16. |
Simplify  |
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A. |
 |
B. |
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C. |
m |
D. |
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Hint |
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17. |
If m || h, m 8 = (8x-12)° and m2 = (5x + 3)°, find m2. |
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A. |
28° |
B. |
152° |
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C. |
5° |
D. |
55° |
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Hint |
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18. |
What best describes  |
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A. |
median |
B. |
perpendicular bisector |
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C. |
altitude |
D. |
angle bisector |
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Hint |
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19. |
Write the ratio of measurements 28 feet to 7 yard in lowest terms. |
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A. |
4:7 |
B. |
4:3 |
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C. |
3:4 |
D. |
4:1 |
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Hint |
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20. |
Find the area of the figure shown. |
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A. |
235 cm2 |
B. |
110 cm2 |
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C. |
55 cm2 |
D. |
270 cm2 |
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Hint |
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