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1. |
If j(x) = x2 + 1, find j(a + 1). |
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A. |
a2 + 2a + 1 |
B. |
a2 + a + 1 |
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C. |
a2 + a + 2 |
D. |
a2 + 2a + 2 |
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Hint |
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2. |
State the domain of the function  |
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A. |
all real numbers except 0, 1, and 3 |
B. |
all real numbers except 0 and 3 |
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C. |
all real numbers except 0 |
D. |
all real numbers except 3 |
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Hint |
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3. |
The population of Abnerville was 12,500 people in 1950. In 2000, the population was 250,000. Find the average rate of increase in the population over the 50 year period. |
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A. |
47,500 people per year |
B. |
47.5 or about 48 people per year |
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C. |
475 people per year |
D. |
4750 people per year |
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Hint |
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4. |
Find the zero of the function f(x) = -8x + 4. |
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A. |
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B. |
-2 |
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C. |
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D. |
2 |
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Hint |
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5. |
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 - 8 |
B. |
y = -3x + 14 |
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C. |
y = -3x + 4 |
D. |
y = -3x + 2 |
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Hint |
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6. |
Use a graphing calculator to find the equation of the regression line. |
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A. |
y = x - 576 |
B. |
y = 23x - 21,000 |
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C. |
y = 2x - 25 |
D. |
y = 12x - 23,947 |
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Hint |
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7. |
The stated weight of the box of soap is 8.3 ounces. The company randomly chooses boxes to test to see whether their equipment is dispensing the right amount of product. If the discrepancy is more than 0.15 ounce, the production line is stopped for adjustments. Identify the type of function that models this situation. |
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A. |
step function |
B. |
absolute value function |
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C. |
greatest integer function |
D. |
a straight line |
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Hint |
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8. |
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 x = 2y 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 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 2x = 2y whose endpoints are (200, 100) and (800, 400) and whose coordinates are integers. |
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Hint |
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9. |
Suppose the triangle ABC with vertices A(1, 2), B(4, 3) and C(-1, 5) is translated 2 units right and 3 units down. Use the translation matrix to find the vertices for A'B'C', the translated image of the triangle. |
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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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10. |
Triangle ABC has vertices A(7, 2), B(3, -1), and C(1, 4). Find the image of the triangle after a reflection over the x-axis. |
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A. |
A'(7, -2), B'(3, 1), C'(1, -4) |
B. |
A'(7, -2), B'(-1, 3), C'(-1, -4) |
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C. |
A'(2, 7), B'(-1, 3), C'(4, 1) |
D. |
A'(-7, -2), B'(-3, 1), C'(-1, -4) |
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Hint |
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11. |
Solve the systems of equations by using matrix equations. |
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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. |
Which of the following is a graph of the inequalities l + g > 100 and l > 70? |
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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. |
Solve the system of inequalities 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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14. |
Write an equation of the line that passes through the points (-2, 4) and (6, -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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15. |
What type of relationship does the scatter plot suggest? |
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A. |
a linear relationship with a positive correlation |
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B. |
no 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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16. |
Use two ordered pairs to write the equation of a best-fit line. |
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A. |
y = 3x |
B. |
y = 3x + 72 |
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C. |
y = 5x + 75 |
D. |
y = 5x |
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Hint |
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17. |
The maximum cost of Ana's long-distance plan is $5.00 each month plus $0.10 per minute.Name a combination of minutes and cost that fit this inequality. |
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A. |
(10, 6) |
B. |
(6,10) |
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C. |
(10,15) |
D. |
(15,10) |
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Hint |
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18. |
Choose the best method to solve the system of equations x + y = 2 and y = 3x - 4. |
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A. |
Graphing |
B. |
Eliminate y |
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C. |
Eliminate x |
D. |
Substitution |
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Hint |
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19. |
A quadrilateral with vertices A(-2,-3), B(-4,2), C(-2,4) and D(0,2) is translated 5 units to the right and 3 units down. What are the new coordinates? |
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A. |
A(3,-6), B(1,-1), C(3,1), D(5,-1) |
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B. |
A(3,-6), B(1,-1), C(3,7), D(5,5) |
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C. |
A(3,0), B(-1,5), C(3,7), D(5,5) |
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D. |
A(-5,2), B(-7, 7), C(-5, 9), D(-3, 7) |
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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 that earns 3% interest. He wants no less than $5,000 in the account with 7% interest. Write a system of inequalities to represent this situation. |
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A. |
x 5000 y 3000 x + y 10,000 |
B. |
x 3000 y 5000 x + y 10,000 |
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C. |
x 3000 y 5000 x + y 10,000 |
D. |
x 3000 y 5000 x + y 10,000 |
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Hint |
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