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1. |
Given f(x) = 3x + 2x - 2 and g(x) = 4x + 1, find  |
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A. |
3x2 - 2x - 3 |
B. |
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C. |
3x2 + 6x - 1 |
D. |
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Hint |
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2. |
The revenue for the sale of x objects is r(x) = 8x. The cost of manufacturing x objects is c(x) = 0.5x + 300. Write the profit function. |
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A. |
8.5x + 300 |
B. |
8.5x - 300 |
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C. |
7.5x + 300 |
D. |
7.5x - 300 |
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Hint |
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3. |
Find the first three iterates, x1, x2, and x3, of the function f(x) = 3x - 1 for an initial value x0=1. |
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A. |
2, 5, 14 |
B. |
-4, -13, -40 |
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C. |
8, 23, 88 |
D. |
5, 14, 41 |
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Hint |
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4. |
Write an equation in slope-intercept form for the line with a slope -3 and passes through the point (4, 2). |
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A. |
y = -3x + 2 |
B. |
y = -3x + 14 |
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C. |
y = -3x + 4 |
D. |
y = -3x - 8 |
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Hint |
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5. |
Jane is opening a home-based business. She determined that she will need $4500 to buy a computer and supplies to start. She expects expenses for each following month to be $800. Write an equation that models the total expense y after x months. |
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A. |
y = 4500x - 800 |
B. |
y = 800x - 4500 |
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C. |
y = 800x + 4500 |
D. |
y = 4500x + 800 |
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Hint |
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6. |
Write the standard form of the equation of the line that passes through the point (-1, 3) and is parallel to the graph of 2x - 7y + 1 = 0. |
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A. |
2x + 7y - 23 = 0 |
B. |
2x + 7y + 23 = 0 |
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C. |
2x - 7y - 23 = 0 |
D. |
2x - 7y + 23 = 0 |
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Hint |
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7. |
Which is the graph of g(x) = |6 - |2x||? |
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A. |
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B. |
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D. |
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Hint |
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8. |
Solve the system of equations x = 4 and 3x - 4y = 12 by graphing. |
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A. |
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B. |
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D. |
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Hint |
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9. |
Find the values of x and y for which the matrix equation is true. |
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A. |
x = -3, y = 1 |
B. |
x = -1, y = -3 |
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C. |
x = 1, y = -3 |
D. |
x = -3, y = -1 |
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Hint |
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10. |
Find the value of . |
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A. |
-28 |
B. |
28 |
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C. |
24 |
D. |
-24 |
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Hint |
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11. |
Which of the following shows the system of equations using a matrix 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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12. |
What type of relationship does the scatter plot suggest? |
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A. |
no correlation |
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B. |
a linear relationship with a positive correlation |
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C. |
no linear relationship |
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D. |
a linear relationship with a negative correlation |
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Hint |
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13. |
Ilene analyzed her test scores and determined the equation of the best-fit line was y = 4.25x + 72. Predict her score for the 5th test. |
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A. |
98.5 |
B. |
72.5 |
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C. |
93.25 |
D. |
88.75 |
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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. What type of function best represents this situation? |
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A. |
greatest integer function |
B. |
piecewise function |
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C. |
step function |
D. |
absolute value function |
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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. |
infinite solutions |
B. |
no solution |
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C. |
(3, 4, 2) |
D. |
(2, -5, 3) |
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Hint |
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16. |
The image of after Rot180 · Ry-axis is the same as which other reflection, if the vertices are A(1,1), B(2,6), C(6,4)? |
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A. |
reflection over the y-axis |
B. |
none of these |
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C. |
reflection over the x-axis |
D. |
reflection over the line y = x |
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Hint |
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17. |
Set up a matrix equation for this chemistry problem. How many liters of 0.25 solution and 0.40 solution should be combined to make 10 liters of 0.35 solution? |
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B. |
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Hint |
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18. |
Solve this problem using matrix equations.How many liters of 0.25 solution and 0.40 solution should be combined to make 10 liters of 0.35 solution? |
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A. |
6.66 L of the 0.25 solution and 3.33 L of the 0.40 solution. |
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B. |
2.5 L of the 0.25 solution and 7.5 L of the 0.40 solution. |
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C. |
4.5 L of the 0.25 solution and 5.5 L of the 0.40 solution. |
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D. |
3.33 L of the 0.25 solution and 6.66 L of the 0.40 solution. |
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Hint |
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19. |
Solve the system of inequalities by graphing. 2x + y 3 2x + y -2 y 4 x < 1 |
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Hint |
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20. |
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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Hint |
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