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1. |
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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2. |
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 x = 2y 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 = y whose endpoints are (100, 200) and (400, 800) and whose coordinates are integers. |
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C. |
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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D. |
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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Hint |
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3. |
If you solve the following system of equations by substitution, which statement is true?
x = z x - 2y + z = 6 2x + y - 2z = 1
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A. |
Neither method will work. |
B. |
You can substitute x for z into the second and third equations. |
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C. |
Both methods will work. |
D. |
You can substitute z for x into the second and third equations. |
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Hint |
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4. |
Find the value of k so that the remainder of (x3 - 3x2 + kx - 6) ÷ (x + 2) is 0. |
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A. |
k = 6 |
B. |
k = -11 |
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C. |
k = -13 |
D. |
k = 11 |
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Hint |
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5. |
Determine between which consecutive integers the real zeros of f(x) = x4 - 4x2 + x - 3 are located. |
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A. |
between -3 and -2 and between 5 and 6 |
B. |
between -3 and -2 and between 2 and 3 |
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C. |
between -2 and -1 and between 2 and 3 |
D. |
between -4 and -3 and between 3 and 4 |
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Hint |
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6. |
Solve + < . |
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A. |
a < 0 or 0 < a < 5 |
B. |
0 < a < 5 |
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C. |
a < 0 or a > 5 |
D. |
a > 0 or 0 < a < 5 |
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Hint |
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7. |
Use the unit circle to find the value of cos 120°. |
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A. |
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B. |
-2 |
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C. |
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D. |
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Hint |
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8. |
Given and a = 5, b = 2 and A = 115°, find B. |
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A. |
31.7° |
B. |
14.6° |
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C. |
22.5° |
D. |
21.3° |
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Hint |
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9. |
Consider the equation -x + 2y - 5 = 0. Find the length of the normal and the angle it makes with the positive x-axis. |
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A. |
; 63° |
B. |
; 117° |
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C. |
; 243° |
D. |
; 297° |
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Hint |
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10. |
Graph the equation . |
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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. |
Find the equation of the hyperbola with foci at (8, 2) and (-4, 2) whose transverse axis is 10 units long. |
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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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12. |
Write an equation in slope-intercept form with a slope of that passes through the point (-3, -5). |
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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. |
Write an equation of a line that has no slope and passes through the point (5,-6). |
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A. |
y = 5 |
B. |
x = 5 |
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C. |
x = -6 |
D. |
y = -6 |
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Hint |
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14. |
A bank charges a $10 fee if the account balance is less than $200. If the balance is in between $200 and $500 there is a $5 fee. If at least $500 is in the account, there is no fee.Graph the fee schedule for different account balances. |
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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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15. |
Solve the system of three equations by elimination: 5x + 2y - 3z = 10 2x - 2y + 4z = 6 x - y + 2z = 3
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A. |
(2, -5, 3) |
B. |
infinite solutions |
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C. |
(3, 4, 2) |
D. |
no solution |
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Hint |
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16. |
Given the function f(x) = , find the inverse. |
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A. |
f -1(x) = 4  |
B. |
f -1(x) =  |
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C. |
f -1(x) = 1  |
D. |
f -1(x) = x - 4 |
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Hint |
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17. |
If y varies directly as the square root of x and x = 25 when y = -15, find x when y = -108. |
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A. |
x = 1500 |
B. |
x = -5 |
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C. |
x = 4500 |
D. |
x = 6 |
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Hint |
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18. |
Simplify the expression sin x + 4 cos x + 2 sin -x - 2 cos -x |
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A. |
1 |
B. |
2 cos x - sin x |
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C. |
0 |
D. |
3 sin x + 2 cos x |
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Hint |
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19. |
If cos = and has its terminal side in the first quadrant, find the exact value of sin 2 . |
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A. |
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B. |
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C. |
2 |
D. |
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Hint |
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20. |
Find the distance between the lines given by the equations y = x - and 2x - 5y = 28. |
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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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