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1. |
Name the property illustrated by (3c · 6)2 = 3c(6 · 2). |
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A. |
associative property of multiplication |
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B. |
associative property of addition |
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C. |
commutative property of multiplication |
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D. |
commutative property of addition |
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Hint |
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2. |
Solve |4x + 2| + 6 = 0. |
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A. |
2 |
B. |
-2 |
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C. |
1 |
D. |
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Hint |
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3. |
Graph the solution set 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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4. |
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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5. |
Selena has 31 days to complete her quilt for the county fair. The blue squares in the quilt can be sewn at a rate of 4 squares per day, and the white squares at a rate of 7 squares per day. The quilt can have up to 96 squares total. The blue fabric b costs about $0.80 per square and the white fabric w costs about $1.20 per square. Selena wants to keep costs at a minimum. Write the function that describes the cost of the quilt. |
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A. |
96 = 0.80b + 1.20w |
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B. |
96 = 4b + 7w |
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C. |
f(b, w) = 0.80b + 1.20w |
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D. |
f(b, w) = 4b + 7w |
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Hint |
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6. |
 |
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A. |
[10 37] |
B. |
 |
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C. |
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D. |
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Hint |
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7. |
Does the inverse of  exist? If it does not exist, explain why not. |
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A. |
No; the determinant equals 0. |
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B. |
Yes |
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C. |
No; the elements of the principal diagonal are not 1. |
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D. |
No; the matrix is not square. |
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Hint |
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8. |
Express 0.091 in scientific notation. |
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A. |
9.1 × 101 |
B. |
9.1 × 10-2 |
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C. |
9.1 × 10-1 |
D. |
9.1 × 102 |
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Hint |
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9. |
Write the fourth root of 625. |
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A. |
5 |
B. |
6254 |
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C. |
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D. |
4(625) |
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Hint |
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10. |
Find the coordinates of the foci of an ellipse with equation  |
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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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11. |
The roots of x2 + 4x + 7 are________. |
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A. |
real and irrational |
B. |
real and rational |
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C. |
real and imaginary |
D. |
imaginary |
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Hint |
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12. |
Find a quadratic equation with roots  and  . |
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A. |
8x2 - 14x + 3 = 0 |
B. |
4x2 - x + 6 = 0 |
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C. |
8x2 - 3x + 14 = 0 |
D. |
4x2 - 6x + 1 = 0 |
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Hint |
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13. |
Approximate the real zero of f(x) = x3 + x + 1 to the nearest tenth. |
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A. |
0.3 |
B. |
-1.0 |
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C. |
-1.3 |
D. |
-0.7 |
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Hint |
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14. |
If w varies directly as z and w = 9 when z = -6, find w when z = 3. |
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A. |
0 |
B. |
-4.5 |
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C. |
4.5 |
D. |
-2 |
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Hint |
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15. |
Evaluate log7 49. |
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A. |
49 |
B. |
1 |
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C. |
7 |
D. |
2 |
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Hint |
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16. |
Radioactivity The half-life of uranium-232 is 72 years. Find the approximate value of k in the formula y = nekt for uranium-232. Assume t is in years. |
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A. |
0.0012 |
B. |
-0.0048 |
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C. |
-0.0024 |
D. |
-0.0096 |
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Hint |
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17. |
Find the slope of the line below. |
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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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18. |
What are the solutions to the system y + 2x – 5z = 4, –2y – 4x + 10z = 8, 3y + x – 3z = 5? |
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A. |
(2, 2, –2) |
B. |
infinite |
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C. |
(2, 2, 1) |
D. |
no solution |
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Hint |
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19. |
Solve x2 + 14x + 49 = 0 by using the quadratic formula. |
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A. |
–3, –8 |
B. |
6, 16 |
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C. |
3, 8 |
D. |
7, –18 |
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Hint |
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20. |
Solve log 3 x < 4. Check your solution. |
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A. |
x < 81 |
B. |
0 < x < 64 |
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C. |
x < 64 |
D. |
0 < x < 81 |
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Hint |
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