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1. |
Solve the equation 3x + y = 6 for x. |
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A. |
x = 5y |
B. |
x = 2 - y |
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C. |
x = 6 - 3x |
D. |
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Hint |
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2. |
Write a verbal expression for the algebraic expression (2 - y) × 6. |
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A. |
the difference, y less than two, times six |
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B. |
two minus y times six |
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C. |
two times six minus y |
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D. |
six times y minus two |
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Hint |
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3. |
and are similar. Find x if z = 3, a = 6, and c = 4.5. |
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A. |
2.25 |
B. |
4 |
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C. |
7.5 |
D. |
9 |
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Hint |
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4. |
Find the domain of y = 6x if the range is {36, 24, 12, 0}. |
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A. |
{6, 4, 2} |
B. |
{216, 144, 72, 0} |
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C. |
{30, 18, 6, -6} |
D. |
{6, 4, 2, 0} |
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Hint |
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5. |
Choose the inequality whose solution set is graphed below. |
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A. |
-5 < x < 5 |
B. |
x > -3 or x < 2 |
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C. |
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D. |
x < -3 and x > 0 |
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Hint |
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6. |
Use the graph below to determine if the given system of equations has one solution, no solution, or infinitely many solutions. If the system has one solution, name it.
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A. |
no solution |
B. |
one solution at (-6, 0) |
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C. |
one solution at . |
D. |
infinitely many solutions |
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Hint |
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7. |
Arrange the terms of 4x2y3 – 2x4y + 3x3y2 – 3 + 2xy so that the powers of x are in descending order. |
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A. |
-3 + 2xy + 4x2y3 + 3x3y2 - 2x4y |
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B. |
– 2x4y + 3x3y2 + 4x2y3 + 2xy – 3 |
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C. |
-3 - 2x4y + 3x3y2 + 4x2y3 + 2xy |
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D. |
4x2y3 + 3x3y2 - 2x4y + 2xy – 3 |
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Hint |
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8. |
Which of the following trinomials is a perfect square trinomial? |
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A. |
4y2 + 10y + 25 |
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B. |
r2 - 6r + 36 |
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C. |
9a2 - 12a + 4 |
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D. |
x2 + 16x + 16 |
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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. |
Name the property used in the equation x + 0 = 22. Then solve for x. |
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A. |
Multiplicative Inverse; x =  |
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B. |
Multiplicative Property of Zero; x = 22 |
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C. |
Additive Identity; x = 22 |
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D. |
Multiplicative Identity; x = 1 |
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Hint |
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11. |
Name the coordinate of each point that is graphed on the number line. |
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A. |
{0, 2, 3, 6} |
B. |
{-6, -3, -2, 0} |
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C. |
{-6, -3, 0, 2} |
D. |
{-6, -3, -1, 2} |
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Hint |
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12. |
Find the next three terms of the arithmetic sequence 41, 54, 67, 80,…. |
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A. |
91, 102, 113 |
B. |
93, 106, 119 |
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C. |
95, 110, 125 |
D. |
103, 126, 149 |
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Hint |
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13. |
Find the next three terms in the sequence 10, 15, 25, 40, …. |
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A. |
45, 50, 55 |
B. |
65, 100, 145 |
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C. |
55, 70, 85 |
D. |
60, 85, 115 |
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Hint |
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14. |
Use substitution to solve the system of equations given by x – 4y = 24 and 3x – 4y = 16. |
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A. |
(-4, 7) |
B. |
(10, -3.5) |
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C. |
(-4, -7) |
D. |
(10, 3.5) |
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Hint |
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15. |
A sociology teacher asked her students how many siblings they have. The results of the survey are shown in the table. Find the probability that a randomly chosen student has at least two siblings. |
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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. |
x3y3 |
B. |
x6y3 |
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C. |
x26y3 |
D. |
x24y19 |
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Hint |
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17. |
Anthony and Sanford each throw a football. The height of Anthony's throw can represented by the equation A = –10x2 + 15x + 22, where A is height and x is the time in seconds. The height of Sanford's throw can represented by the equation S = –9x2 + 14x + 23. At time x, how much higher is Sanford's throw? |
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A. |
x2 – x + 1 |
B. |
x2 + x + 1 |
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C. |
x2 + x – 1 |
D. |
x2 – x – 1 |
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Hint |
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18. |
Find the area of a triangle with base 2x + 3 and height 3x – 1. |
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A. |
x2 + x – 3 |
B. |
3x2 + x  |
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C. |
6x2 + 7x – 3 |
D. |
5x2 + 7x – 3 |
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Hint |
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19. |
Find the product (x2 – 3x +6)(2x2 + 3x + 4). |
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A. |
2x4 – 3x3 – 5x2 + 6x + 24 |
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B. |
2x4 – 3x3 + 7x2 + 6x + 24 |
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C. |
2x4 + 3x3 – 5x2 + 6x + 24 |
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D. |
2x4 + 3x3 + 7x2 + 6x + 24 |
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Hint |
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20. |
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. |
23 |
B. |
28 |
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C. |
17 |
D. |
2 |
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Hint |
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