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1. |
Simplify:  |
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A. |
c + 4 |
B. |
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C. |
c + 28 |
D. |
7c + 4 |
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Hint |
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2. |
Solve the equation  |
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A. |
a = 5 |
B. |
a =  |
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C. |
a = 0 |
D. |
a =  |
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Hint |
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3. |
Solve the equation p=2q + 2w for q. |
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A. |
q = p - w |
B. |
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C. |
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D. |
q = p - 2w - q |
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Hint |
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4. |
Write an expression for the area of the rectangle shown below. |
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A. |
12xy2 + 4x3y |
B. |
6xy2 + 4x3y |
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C. |
6xy2 + 7x3y |
D. |
9x2y4 + 12x4y3 |
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Hint |
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5. |
Find (4y - 5)(3y - 7). |
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A. |
12y2 – 13y + 35 |
B. |
12y2 + 35 |
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C. |
12y2 – 43y + 35 |
D. |
12y2 – 43y - 35 |
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Hint |
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6. |
Factor 20a4b2 - 15ab + 30a2b |
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A. |
a2b(20a2b - 15 + 30a) |
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B. |
5ab(4a3b - 3 + 6a) |
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C. |
5a2b(15a2b - 10 + 25a) |
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D. |
5(4a4b2 - 3ab + 10a2b) |
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Hint |
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7. |
An expression for the area of a rectangle is xy – 2x + 3y – 6. Express this area in factored form. |
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A. |
(x – 2)(y + 3) |
B. |
(xy – 2x)( 3y – 6) |
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C. |
(x + 3)(y – 2) |
D. |
x(y – 2) + 3(y – 2) |
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Hint |
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8. |
Solve  . |
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A. |
-1 |
B. |
2 |
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C. |
0 |
D. |
no real solution |
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Hint |
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9. |
Solve a2 - a - 20 = 0 by completing the square. |
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A. |
-5, 4 |
B. |
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C. |
-4, 5 |
D. |
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Hint |
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10. |
Translate the equation into a verbal sentence.  |
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A. |
Five subtracted from the quotient of  and a number x is 4. |
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B. |
One-third of a number x minus 5 equals 4. |
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C. |
One-third of a number x minus 4 equals 5. |
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D. |
One-third times the difference of a number x and 5 is 4. |
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Hint |
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11. |
Solve 2x + 8y = 48 for y. |
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A. |
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B. |
y = -2x + 6 |
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C. |
y = -2x + 48 |
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D. |
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Hint |
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12. |
Use the direct variation equation  to find x when y = -34. |
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A. |
x = - |
B. |
x = 153 |
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C. |
x = |
D. |
x = -153 |
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Hint |
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13. |
Solve  or  |
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A. |
{x| x > 12} |
B. |
{x| x < 15} |
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C. |
{x| x < 12} |
D. |
{x| x > 15} |
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Hint |
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14. |
Use substitution to solve the system of equations given by y = 2x and 5x + y = 7. |
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A. |
(2, 5) |
B. |
(-2, -5) |
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C. |
(-1, -2) |
D. |
(1, 2) |
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Hint |
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15. |
Express 2.38 × 106 in standard notation. |
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A. |
0.00000238 |
B. |
2,380,000 |
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C. |
0.000000238 |
D. |
238,000 |
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Hint |
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16. |
What is the degree of 3a – 4a2b3 + b3 – 4ab? |
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A. |
3 |
B. |
2 |
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C. |
1 |
D. |
5 |
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Hint |
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17. |
Joanne has a garden that is 9 feet long by 6 feet wide. She wants to increase the dimensions of the garden by the same amount, and have the area of the new garden be 5 times the area of the present garden. What should the new dimensions be? |
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A. |
length = 30 ft
width = 24ft |
B. |
length = 18 ft
wideth = 15ft |
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C. |
length = 15 ft
width = 18 ft |
D. |
length = 24 ft
width = 30 ft |
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Hint |
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18. |
Determine whether the trinomial 9x2 – 60x + 25 is a perfect square trinomial. If so, factor it. |
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A. |
(3x – 5)(3x – 5) |
B. |
(3x + 5)(3x + 5) |
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C. |
It is prime. |
D. |
(3x – 5)(3x + 5) |
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Hint |
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19. |
Tamotsu and Ryan each go to the same school. Tamotsu lives 5 miles north and 3 miles west of the school. Ryan lives 7 miles south and 4 miles east of the school. How far apart do they live? |
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A. |
12.04 miles |
B. |
13.9 miles |
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C. |
2.24 miles |
D. |
7.28 miles |
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Hint |
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20. |
What is the constant of variation if y varies inversely as x, and x = 4.3 when y = 2.15? |
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A. |
0.108 |
B. |
2 |
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C. |
9.245 |
D. |
 |
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Hint |
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