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1. |
Simplify 3x2y + 2xy2 + 5x2y + 3y2. |
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A. |
8x4y2+5y3 |
B. |
13x5y6 |
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C. |
8x2y + 2xy2 + 3y2 |
D. |
8x2y + 5xy2 |
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Hint |
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2. |
Solve |
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A. |
a = -6 |
B. |
a = 19 |
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C. |
a = 5 |
D. |
a = 29 |
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Hint |
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3. |
Write the following expression with exponents. b × b × b × b × b × b × b × b × b |
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A. |
b9 |
B. |
b18 |
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C. |
b2 |
D. |
9b |
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Hint |
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4. |
If y varies directly as x and y = 35 when x = 5, find y when x = 11. |
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A. |
41 |
B. |
7 |
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C. |
77 |
D. |
 |
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Hint |
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5. |
Graph the system of equations to determine whether it has no solution, infinitely many solutions, or one solution. If the system has one solution, name it.

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A. |
one solution at  |
B. |
no solution |
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C. |
infinitely many solutions |
D. |
one solution at  |
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Hint |
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6. |
Which expression is a binomial? |
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A. |
5x - 2 |
B. |
5x2y + 4x – 6 |
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C. |
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D. |
-3xy |
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Hint |
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7. |
Find the sum (4xy2 – 3x2y – 5xy – 6) + (-5xy2 – 2xy + 3). |
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A. |
-xy2 – 3x2y – 7xy – 3 |
B. |
4xy2 – 8x2y – 7xy – 3 |
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C. |
4xy2 – 7xy – 3 |
D. |
-xy2 – 3x2y – 3xy – 3 |
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Hint |
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8. |
Find (4r + 7s)(4r - 7s) |
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A. |
16r2 + 56rs + 49s2 |
B. |
16r2 - 56rs + 49s2 |
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C. |
16r2 - 49s2 |
D. |
16r2 + 49s2 |
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Hint |
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9. |
Simplify . |
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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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10. |
Find  |
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A. |
 |
B. |
 |
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C. |
- |
D. |
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Hint |
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11. |
Solve  |
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A. |
x = 6 |
B. |
x = -6 |
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C. |
No Solution |
D. |
All Real Numbers |
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Hint |
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12. |
Solve  |
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A. |
 |
B. |
 |
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C. |
No Solution |
D. |
All Real Numbers |
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Hint |
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13. |
Find the total cost of three shirts at $25.99 each with a sales tax of 5.5%. |
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A. |
$77.97 |
B. |
$83.47 |
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C. |
$82.26 |
D. |
$120.85 |
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Hint |
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14. |
Square ABCD is shown in the figure. Find the coordinates of the vertices of the image if the square is translated 2 units to the right and 3 units up. |
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A. |
A´(-1, 1), B´(3, 1), C´(3, -3), D´(-1, -3) |
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B. |
A´(-1, 4), B´(3, 4), C´(3, 0), D´(-1, 0) |
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C. |
A'(-2, 3), B'(6, 3), C'(6, -9), D'(-2, -9) |
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D. |
A´(0, 3), B´(4, 3), C´(4, -1), D´(0, -1) |
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Hint |
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15. |
Solve y = 7x – 7 if the domain is {-2, -1, 0, 1}. |
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A. |
{7, 14, 21, 28} |
B. |
{-28, -14, 14, 28} |
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C. |
{-21, -14, -7, 0} |
D. |
{-19, -13, -7, -1} |
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Hint |
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16. |
Suppose y varies directly as x, and y = -319 when x = 29. Write a direct variation equation that relates x and y. |
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A. |
 |
B. |
y = -11x |
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C. |
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D. |
y = 11x |
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Hint |
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17. |
Which of the following would not be a sample from a population set of all of the farms in Nebraska? |
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A. |
The farms are split into groups based on what they produce, and then 4 are selected from each group. |
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B. |
25 houses with pets are selected from any part of the state. |
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C. |
One farm is selected in each 20 square mile area of the state |
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D. |
12 farms are selected from any part of the state. |
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Hint |
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18. |
For equations of the form y = ax, where a is a constant, what is true about a if the y-values change little for small values of x, but increase quickly for large x values? |
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A. |
a > 1 |
B. |
a = 1 |
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C. |
–1 < a < 0 |
D. |
0 < a < 1 |
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Hint |
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19. |
A guest on a talk show tends to receive many phone calls right after she is on the show, and then the calls become less frequent. This can be represented by the equation y = 30(0.92)d, where y is the number of phone calls after d days. How many phone calls should she expect after a week? |
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A. |
28 |
B. |
23 |
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C. |
2 |
D. |
17 |
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Hint |
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20. |
If x varies inversely as y and the constant of variation is 24, what are x and y if it is true that x + y = 11? |
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A. |
6 and 4 |
B. |
3 and 8 |
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C. |
–6 and –4 |
D. |
–3 and –8 |
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Hint |
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