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1. |
Write  in standard form where A, B, and C are integers whose greatest common factor is 1. |
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A. |
3x - 8y = 16 |
B. |
3x - 8y = 2 |
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C. |
3x + 8y = 16 |
D. |
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Hint |
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2. |
What is the first step in solving the system of equations using the elimination method? 
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A. |
Add the equations. |
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B. |
Subtract the second equation from the first equation. |
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C. |
Solve the first equation for x. |
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D. |
Multiply the second equation by 2. |
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Hint |
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3. |
Solve the system of equations by using substitution. 
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A. |
(5, 11) |
B. |
(1, 3) |
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C. |
(4, 9) |
D. |
(3, 7) |
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Hint |
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4. |
Which coordinates are not of the vertices of the feasible region for the system of inequalities? 
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A. |
(5, 4) |
B. |
(5, 1) |
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C. |
(0, 6) |
D. |
(2, 4) |
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Hint |
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5. |
For the determinant  , which is the minor of -4? |
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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. |
Multiply  |
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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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7. |
Factor 4y2 – 9. |
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A. |
(2y + 3)(2y + 3) |
B. |
(2y + 3)(2y – 3) |
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C. |
prime |
D. |
(2y – 3)(2y – 3) |
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Hint |
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8. |
Solve the equation | 3a + 2 | - 2 = 4a + 1. |
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A. |
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B. |
-1 |
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C. |
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D. |
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Hint |
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9. |
A line of fit is drawn on a scatter plot showing the number of pets owned by automobile owners and the number of miles driven each month. What would probably be the best description of the slope of this line? |
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A. |
zero |
B. |
undefined |
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C. |
positive |
D. |
negative |
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Hint |
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10. |
Suppose  has vertices A(3, 4), B(-2, 1) and C(2, –3). Dilate so that its perimeter is one-fourth the original perimeter. What are the coordinates of the vertices 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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11. |
What are the coordinates of the vertices of the image of rectangle HJKL with H(4, 1), J(-3, -2), K(2, -6), and L(-4, 5) after a reflection across the x-axis? |
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A. |
H'(4, –1), J'(-3, 2), K'(2, 6), L'(-4, -5) |
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B. |
H'(-4, –1), J'(-3, -2), K'(-2, -6), L'(-4, -5) |
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C. |
H'(-4, –1), J'(3, 2), K'(-2, 6), L'(4, -5) |
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D. |
H'(-4, 1), J'(3, -2), K'(-2, -6), L>'(4, 5) |
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Hint |
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12. |
Simplify  |
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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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13. |
In the equation y = x2 – 5, what is the axis of symmetry, and what is the minimum? |
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A. |
x = 0, min =  |
B. |
x = , min = 0 |
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C. |
x = –5, min = 0 |
D. |
x = 0, min = –5 |
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Hint |
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14. |
A quadratic function has two real roots. How many times does the graph cross the x-axis? |
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A. |
0 |
B. |
2 |
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C. |
cannot be determined from given information. |
D. |
1 |
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Hint |
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15. |
Solve x2 + 8x + 16 = 36 by using the Square Root Property. |
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A. |
2 and –10 |
B. |
-2 and –14 |
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C. |
2 |
D. |
-4 |
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Hint |
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16. |
If the graph of y = x2 is shifted 4 units to the right, and 2 units down, what is the equation of the new graph? |
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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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17. |
What must be true in order for a term x – a to be a factor of a polynomial f(x)? |
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A. |
f(a) = 0 |
B. |
a must be positive |
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C. |
f(a) must be positive |
D. |
f(a) must be negative |
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Hint |
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18. |
If a binomial x – a divides a polynomial, what must be true in order for it to be a factor of the polynomial? |
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A. |
The remainder must be 0. |
B. |
There cannot be any other factor x – a. |
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C. |
It must divide the polynomial in half. |
D. |
The polynomial must be at least of degree three. |
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Hint |
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19. |
What is equidistant to all of the points on a circle? |
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A. |
tangent line |
B. |
radius |
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C. |
center |
D. |
diameter |
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Hint |
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20. |
What is the LCM of  and  . |
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A. |
r(r – 1)2(r + 3)(r + 9) |
B. |
r(r – 1)(r + 3)(r + 9) |
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C. |
(r – 1)(r + 3)(r + 9) |
D. |
(r – 1)2(r + 3)(r + 9) |
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Hint |
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