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1. |
Evaluate a - b2 if a = 4 and b = 3. |
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A. |
-5 |
B. |
13 |
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C. |
-13 |
D. |
1 |
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Hint |
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2. |
Name the property illustrated by the statement below.
If 5n = 15, then 15 = 5n. |
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A. |
symmetric property of equality |
B. |
transitive property of equality |
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C. |
substitution property of equality |
D. |
reflexive property of equality |
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Hint |
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3. |
Solve 18 + a = 36. |
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A. |
18 |
B. |
-2 |
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C. |
54 |
D. |
-18 |
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Hint |
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4. |
Choose the graph of f(x) = |x| - 2. |
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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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5. |
Choose 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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6. |
What is the value of the determinant? |
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A. |
12 |
B. |
-8 |
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C. |
-3 |
D. |
-12 |
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Hint |
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7. |
The solution of a system of three linear equations in three variables, x, y, and z, is called a(n) ____ (x, y, z). |
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A. |
integer |
B. |
ordered triple |
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C. |
ordered pair |
D. |
sum |
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Hint |
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8. |
Triangle PQR with vertices P(-8, 9), Q(-3, -1), and R(2, 5) is translated so that P' is at (-12, 0). Find the translation 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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9. |
Find  |
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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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10. |
The product  gives the coordinates of two points on line AB that has been rotated 90° counterclockwise about the origin. Name the coordinates of A' and B'. |
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A. |
A'(-1, 1), B'(1, -3) |
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B. |
A'(-1, -3), B'(1, 1) |
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C. |
A'(1, 1), B'(-1, -3) |
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D. |
A'(1, -3), B'(1, 1) |
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Hint |
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11. |
Solve the equation | 3a + 2 | - 2 = 4a + 1. |
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A. |
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B. |
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C. |
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D. |
-1 |
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Hint |
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12. |
Find the domain of the relation shown in the graph. |
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A. |
{-3, -2, -1, 0, 1, 2, 3, 5} |
B. |
{0, 1, 2, 3} |
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C. |
{-2, -1, 1, 2, 3, 5} |
D. |
{-3, -2, -1, 0, 1, 3} |
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Hint |
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13. |
Graph the line passing through the point (2, -5) with a slope of –2. |
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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. |
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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15. |
Graph the inequality y  -| x | + 3. |
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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. |
Solve the system of equations. –2x + 3y = 7
4x – 6y = 8. |
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A. |
y = –22, x = –36.5 |
B. |
no solution |
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C. |
y = –22, x = –31 |
D. |
y = –22, x = 29.5 |
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Hint |
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17. |
Find the coordinates of the vertices of the image of a rectangle ABCD with A(4, -3), B(-3, 1), C(-7, -3), and D(5, 2) after a reflection across the line y = x. |
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A. |
A'(-3, -4),B'(1, 3),C'(-3, 7),D'(2, -5) |
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B. |
A'(-4, -3),B'(3, 1),C'(7, -3),D'(-5, 2) |
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C. |
A'(3, 4),B'(-1, -3),C'(3, -7),D'(-2, 5) |
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D. |
A'(-3, 4),B'(1, -3),C'(-3, -7),D'(2, 5) |
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Hint |
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18. |
Two sides of an angle are contained in lines whose equations are 6x + 4y = 15 and 7x – 9y = 3. Find the coordinates of the vertex of the angle. Round to the nearest hundredth. |
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A. |
(1.79, 1.06) |
B. |
(–1.79, 1.06) |
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C. |
(–147, –87) |
D. |
(147, 87) |
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Hint |
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19. |
In order for a matrix to have an inverse, what must be true? |
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A. |
ad – bc  0 |
B. |
ad – bc = 1 |
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C. |
ad – bc = 0 |
D. |
ad – bc 1 |
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Hint |
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20. |
Solve the system of equations4x – 2y = 2, –3x + 7y = –29 |
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A. |
no solution |
B. |
(–2, 5) |
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C. |
(–2, –5) |
D. |
(2, –5) |
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Hint |
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