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1. |
Given f(x) = x2 + 1 and g(x) = 2x - 1, find (f - g)(x). |
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A. |
x2 - 2x - 1 |
B. |
x2 - 2x + 1 |
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C. |
x2 - 2x + 2 |
D. |
x2 + 2x |
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Hint |
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2. |
State the domain of  (x) for f(x) =  and g(x) =  |
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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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3. |
Find a linear equation that can model the data shown in the graph. |
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A. |
2x + 3y + 6 = 0 |
B. |
3x - 2y + 6 = 0 |
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C. |
2x -3y + 6 = 0 |
D. |
2x + 5y - 3 = 0 |
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Hint |
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4. |
What type of relationship or pattern does the scatter plot suggest? |
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A. |
no pattern |
B. |
a linear relationship whose data have a positive relationship |
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C. |
none of these |
D. |
a linear relationship whose data have a negative relationship |
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Hint |
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5. |
Which is the graph of g(x) = |6 - |2x||? |
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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. |
An automobile manufacturer produces two kinds of cars--the Bobcat x and the Lion y. The company must always produce twice as many Bobcats as Lions and at least 300 cars but no more than 1200 cars per day. Model this situation algebraically. |
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A. |
300  x + y 1200 and x = 2y |
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B. |
300 x + 2y 1200 |
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C. |
300 2x + y 1200 |
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D. |
300 x + 2y 1200 and x = 2y |
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Hint |
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7. |
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 (100, 200) and (400, 800) 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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8. |
State the domain and range of the relation. |
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A. |
The domain and the range include all real numbers. |
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B. |
The domain includes negative real numbers. The range includes all real numbers. |
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C. |
The domain includes all real numbers. The range includes all positive real numbers. |
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D. |
The domain includes just positive real numbers. The range includes all real numbers. |
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Hint |
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9. |
Find f(2b2) for f(x) = x2 – 4x |
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A. |
4b2 - 8b8 |
B. |
4b4 - 8b2 |
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C. |
-4b2 |
D. |
2b4 - 8b2 |
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Hint |
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10. |
Which equation has an undefined slope? |
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A. |
y = 4x + 2 |
B. |
y = 4x |
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C. |
x = 4 |
D. |
y = 4 |
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Hint |
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11. |
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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12. |
Write a linear equation to represent the cost y of a long distance calling plan that charges $5.99 plus $0.07 per minute for x number of minutes. |
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A. |
y = x - 5.99 |
B. |
y = x + 5.99 |
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C. |
y = 0.07x + 5.99 |
D. |
y = 5.99x + 0.07 |
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Hint |
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13. |
Determine whether 3x - 5y + 1 = 0 and 6x - 10y + 2 = 0 are parallel, coinciding, or neither. |
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A. |
all are correct |
B. |
parallel |
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C. |
perpendicular |
D. |
coinciding |
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Hint |
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14. |
Write the equation of the line perpendicular to 5y + 3x - 10 = 0 and that passes through the point (3,1). |
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A. |
5x - 3y - 12 = 0 |
B. |
5x - 3y - 4 = 0 |
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C. |
5x + 3y - 12 = 0 |
D. |
3x + 5y - 50 = 0 |
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Hint |
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15. |
Graph the data on a scatter plot. |
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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. |
What is the value of y when x = 2? |
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A. |
undefined |
B. |
1 |
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C. |
2 |
D. |
0 |
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Hint |
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