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1. |
Given f(x) = 3x + 2x - 2 and g(x) = 4x + 1, find  |
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A. |
3x2 + 6x - 1 |
B. |
3x2 - 2x - 3 |
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C. |
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D. |
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Hint |
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2. |
Write an equation in slope-intercept form for the line with a slope
of  and a y-intercept of -3. |
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A. |
y =  x - 3 |
B. |
y = x + 3 |
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C. |
y = x - 3 |
D. |
y = x + 3 |
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Hint |
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3. |
Find a linear equation that can model the data shown in the graph. |
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A. |
2x -3y + 6 = 0 |
B. |
2x + 3y + 6 = 0 |
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C. |
2x + 5y - 3 = 0 |
D. |
3x - 2y + 6 = 0 |
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Hint |
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4. |
The compound inequality 300 < x + y < 1200 and x = 2y is shown in the graph below. List the possibilities of Bobcats and Lions produced to meet the imposed conditions. |
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A. |
All points on the segment of the line 2x = y whose endpoints are (100, 200) and (400, 800) and whose coordinates are integers. |
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B. |
All points on the segment of the line 2x = 2y whose endpoints are (200, 100) and (800, 400) and whose coordinates are integers. |
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C. |
All points on the segment of the line x = 2y whose endpoints are (200, 100) and (800, 400) and whose coordinates are integers. |
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D. |
All points on the segment of the line x = 2y whose endpoints are (100, 200) and (400, 800) and whose coordinates are integers. |
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Hint |
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5. |
Solve the system of equations y = 0.5x and 4y = x - 2 by graphing. |
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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. |
A triangle ABC has vertices A(3, -1), B(4, -2), and C(7, 1). Find the coordinates of the dilated triangle for a scale factor of 3. |
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A. |
A'(-3, 9), B'(-6, 12),
C'(3, 21) |
B. |
A,/i>'(12, -6), B'(21, 3),
C'(-9, -3) |
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C. |
A'(9, -3), B'(12, -6),
C'(21, 3) |
D. |
A'(21, 3), B'(12, -6),
C'(-9, -3) |
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Hint |
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7. |
In shipping, an oversize package is one in which the sum of the length and girth exceeds 100 inches, and also one whose length alone exceeds 70 inches. Which of the following best represents this situation? |
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A. |
l + g < 100, g < 70 |
B. |
l + g > 100, l > 70 |
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C. |
l + g > 100, g < 70 |
D. |
l + g > 100, l < 70 |
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Hint |
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8. |
Determine the symmetry of g(x) =  . |
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A. |
symmetric with respect to only the x-axis |
B. |
symmetric with respect to only the y-axis |
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C. |
symmetric with respect to the origin |
D. |
not symmetric |
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Hint |
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9. |
The graph |y| = 4 - |2x| is symmetric with respect to __________. |
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A. |
the y-axis |
B. |
both the x-axis and
the y-axis |
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C. |
neither the x-axis nor
the y-axis |
D. |
the x-axis |
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Hint |
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10. |
Determine whether the function f(x) = 2x2 - x + 2 is continuous at x = 2. |
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A. |
Yes, because the function is defined at x = 2. |
B. |
Yes, because the function approaches the same y-value 8 on the left and right sides
of x = 2. |
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C. |
Yes, because the function is defined at x = 2 and approaches y = 8 on the left and right sides of x = 2. |
D. |
None of these are correct. |
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Hint |
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11. |
Use a graphing calculator to graph g(x) = x3 - x + 1 and to determine and classify its extrema. |
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A. |
relative maximum:
(-0.6, 1.38);
relative minimum:
(0.6, 0.62) |
B. |
relative minimum:
(1.38, -0.6);
relative maximum:
(0.6, 0.62) |
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C. |
relative maximum:
(1.38, -0.6);
relative minimum
(0.6, 0.62) |
D. |
relative minimum:
(-0.6, 1.38);
relative maximum:
(0.6, 0.62) |
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Hint |
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12. |
Determine the asymptotes for the graph of f(x) =  . |
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A. |
none of these |
B. |
a vertical asymptote at x = -3 and a horizontal asymptote at y = 1 |
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C. |
a horizontal asymptote at
x = 3 and a vertical asymptote at y = 2 |
D. |
a vertical asymptote at x = 3 and a horizontal asymptote at y = 2 |
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Hint |
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13. |
Find the zero of f(x) = 2x - 3, then graph the function. |
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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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14. |
Use matrices to determine the coordinates of the image of
 with vertices A(-3,4), B(-5,2) and C(-6,5) once it is rotated 90°. |
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A. |
A'(3,-4), B(5,-2) and C'(6,-5) |
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B. |
A'(-3,-4), B(-5,-2) and C'(-6,-5) |
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C. |
A'(-4,-3), B(-2,-5) and C'(-5,-6) |
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D. |
A'(3,4), B(5,2) and C'(6,5) |
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Hint |
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15. |
Find the inverse 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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16. |
Sam has $10,000 to deposit in two different savings accounts. He wants at least $3,000 in the account with 3% interest. He wants no less than $5,000 in the account with 7% interest.Graph this system of inequalities. |
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A. |
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B. |
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D. |
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Hint |
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17. |
Solve |4 - x| < 0. |
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A. |
all real numbers |
B. |
{x|x > 4} |
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C. |
{x|x < 4} |
D. |
no solution |
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Hint |
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18. |
Given the function f(x) =  , is the inverse a function? How do you know? |
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A. |
Yes, this function passes the vertical line test. |
B. |
No, this function passes the horizontal line test. |
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C. |
No, this function fails the horizontal line test. |
D. |
Yes, this function fails the horizontal line test. |
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Hint |
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19. |
Given the function f(x) = x2 - 8x + 16, find the inverse. |
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A. |
f -1 = x - 2 |
B. |
f -1 = x - 4 |
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C. |
f -1 = (x - 4)2 |
D. |
f -1 = 4  |
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Hint |
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20. |
The function f(x) = - (x + 2)3 - 3 has a critical point at x = -2. Determine whether this is the location of a maximum, minimum or a point of inflection. |
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A. |
minimum |
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B. |
extremum |
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C. |
maximum |
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D. |
point of inflection |
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Hint |
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