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1. |
The values in the graph below are _______ |
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A. |
integers. |
B. |
irrational numbers. |
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C. |
rational numbers. |
D. |
natural numbers. |
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Hint |
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2. |
State the solution of the system of equations graphed below. |
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A. |
(3, -1) |
B. |
(0, 3) |
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C. |
(-1, 3) |
D. |
(3, 1) |
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Hint |
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3. |
Use the elimination method to solve the system of equations. 

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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. |
Josh has 40 minutes to complete a government exam. There are 15 multiple-choice questions worth 3 points each. There are also 5 short-answer questions worth 11 points each. It takes about 2 minutes for Josh to answer the multiple-choice questions m and about 8 minutes to complete the short-answer questions s. The system of inequalities that represents this problem is graphed below. Which ordered pair is not a vertex of the feasible region? |
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A. |
(15, 0) |
B. |
(0, 0) |
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C. |
(20, 0) |
D. |
(0, 5) |
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Hint |
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5. |
Find the difference |-25| - (-32). |
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A. |
7 |
B. |
-7 |
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C. |
57 |
D. |
-57 |
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Hint |
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6. |
Solve the proportion  |
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A. |
2 |
B. |
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C. |
-6 |
D. |
1 |
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Hint |
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7. |
The length of one side of an equilateral triangle is 4 centimeters. Find the length of an altitude of the triangle. |
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A. |
cm |
B. |
2 cm |
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C. |
cm |
D. |
cm |
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Hint |
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8. |
Find (3x + 4)(5x2 – 4x + 6). |
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A. |
15x3 + 8x2 + 2x + 24 |
B. |
5x2 + x + 10 |
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C. |
8x2 - 13x + 24 |
D. |
15x3 + 32x2 + 34x + 24 |
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Hint |
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9. |
Find the surface area to the nearest tenth of the cylinder below. |
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A. |
207.3 cm2 |
B. |
175.9 cm2 |
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C. |
150.8 cm2 |
D. |
141.4 cm2 |
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Hint |
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10. |
Factor 6y2 + 22y – 8. |
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A. |
2(3y – 2)(y + 2) |
B. |
(2y– 4)(3y + 2) |
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C. |
(6y – 1)(y + 8) |
D. |
2(3y – 1)(y + 4) |
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Hint |
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11. |
Factor 7xy2 - 28x3 |
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A. |
7x2y2(1 + x) |
B. |
(7xy + x)(y – 28x2) |
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C. |
7x(y + 2x)(y - 2x) |
D. |
prime |
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Hint |
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12. |
What is the equation of the graph shown? |
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A. |
f(x) = -2x2 + 2x + 1 |
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B. |
f(x) = 2x2 - 2x + 1 |
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C. |
f(x) = -2x2 + 2x - 1 |
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D. |
f(x) = 2x2 + 2x + 1 |
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Hint |
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13. |
Triangle RPG and triangle FAS are congruent. Which segment is necessarily congruent to ? |
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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. |
Line segment has endpoints A(-6, -3) and B(2, 1). Line segment has endpoints C(-4, 8) and D(3, -6). Is perpendicular to ? Why? |
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A. |
Yes, the slopes are opposites. |
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B. |
Yes, the slopes are negative reciprocals. |
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C. |
No, the lines are parallel. |
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D. |
No, the lines intersect but not at right angles. |
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Hint |
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15. |
Suppose has vertices A(3, 4), B(-2, 1) and C(2, –3). Dilate so that its perimeter is one-fourth the original perimeter. What are the coordinates of the vertices 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. |
Two number cubes are rolled. What is the probability of rolling a sum of 9 or a sum that is even? |
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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 is not a condition of a radical expression in simplest form? |
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A. |
No radicands contain fractions. |
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B. |
No radicals appear in the numerator of a fraction. |
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C. |
No radicands have perfect square factors other than 1. |
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D. |
No radicals appear in the denominator of a fraction. |
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Hint |
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18. |
Which of the following is not necessarily true concerning similar triangles? |
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A. |
Each triangle has angles whose sum is 180°. |
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B. |
The measures of their corresponding angles are equal. |
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C. |
The measures of their corresponding sides are proportional. |
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D. |
The measures of their corresponding sides are equal. |
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Hint |
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19. |
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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20. |
Use the triangle in the diagram with a translation of 7 down, 2 units to the right, followed by a reflection over the y-axis to find the coordinates of X''. |
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A. |
(-1, 1) |
B. |
(1, 1) |
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C. |
(-1, -1) |
D. |
(1, -1) |
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Hint |
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