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1. |
Describe transformation shown in the graph. |
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A. |
reflection over the x-axis |
B. |
translation 5 units down |
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C. |
reflection over the y-axis |
D. |
translation 5 units up |
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2. |
The sum of two numbers is 36. Twice the first number minus the second is 6. Find the numbers. |
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A. |
(42, 6) |
B. |
(14, 22) |
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C. |
(30, 6) |
D. |
(10, 26) |
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3. |
Select the segment that has been bisected. |
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A. |
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B. |
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D. |
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4. |
Which of the following shows a reflection. |
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A. |
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B. |
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C. |
B | B |
D. |
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5. |
Find (4y - 5)(3y - 7). |
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A. |
12y2 – 43y - 35 |
B. |
12y2 + 35 |
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C. |
12y2 – 13y + 35 |
D. |
12y2 – 43y + 35 |
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6. |
Rectangle DEFG has vertices D(-4, -1), E(-2, -1), F(-2, -4), and
G(-4, -4). Which graph shows the translation image of the rectangle that is 6 units right and 3 units up? |
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A. |
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B. |
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C. |
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7. |
Simplify  . |
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A. |
2x |
B. |
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C. |
5x |
D. |
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Hint |
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8. |
Find the situation that involves a decreasing linear relationship and has direct variation. |
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A. |
A bucket that begins at ground level and is lowered into a well at a rate of 1 foot per second. |
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B. |
The temperature that begins at 0°F at 6:00 a.m. rises 3°F every hour for 6 hours. |
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C. |
A submarine that begins at the bottom of the ocean and is raised to the surface of the water at 15 meters per second. |
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D. |
An airplane that begins at 20,000 feet and descends for a landing on the ground at the airport. |
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9. |
Find the table that represents a graph with direct variation. |
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A. |
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D. |
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10. |
Pam's mother gives Pam $20 each week for lunch to be bought at the school cafeteria. Lunches cost $4 per day. Draw a graph showing the amount Pam has left decreasing very slowly. Suppose you graph the time in days on the horizontal axis and the amount Pam has left on the vertical axis. |
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A. |
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C. |
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11. |
What is the equation of a line that has a slope of 3 and passes through (–4, –3)? |
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A. |
y = 3x + 3 |
B. |
y = 3x – 9 |
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C. |
y = 3x + 9 |
D. |
y = 3x – 3 |
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12. |
Which table shows a quadratic relationship? |
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A. |
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B. |
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D. |
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13. |
How many diagonals does a 25-sided polygon have? |
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A. |
275 |
B. |
25 |
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C. |
550 |
D. |
300 |
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14. |
Find a quadratic equation for the table. |
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A. |
y = 5x2 – 2 |
B. |
y = 5x2 – 1 |
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C. |
y = 5x2 + 1 |
D. |
y = x2 – 5 |
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15. |
Consider the equation xy = 3. What happens to the value of y when x doubles? |
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A. |
y quarters |
B. |
y doubles |
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C. |
y triples |
D. |
y halves |
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16. |
How does b affect graphs of equations in the form of  ? |
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A. |
positive values of b move the graph to the left, negative values move it to the right |
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B. |
b affects the length of the graph |
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C. |
b affects the width of the graph |
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D. |
negative values of b move the graph to the left, positive values move it to the right |
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Hint |
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17. |
Find the values for m and n which the conjecture (m – n)2 = m2 – n2 is false. |
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A. |
m = 1, n = 0 |
B. |
m = 1, n = 1 |
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C. |
m = 1, n = 2 |
D. |
m = –2, n = 0 |
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18. |
Suppose your parents buy a new car for $21,000. What will the value of the car be in 5 years if the car depreciates by 10% each year.? |
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A. |
$12,400 |
B. |
$11,160 |
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C. |
$10,044 |
D. |
$15,309 |
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19. |
Using the figure below as a basic design element, choose a center of rotation and make a design with a 60° angle of rotation. Choose the correct figure. |
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A. |
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C. |
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D. |
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20. |
What two things does a vector contain? |
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A. |
length and width |
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B. |
distance and direction |
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C. |
angle of rotation and distance |
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D. |
direction and rotational symmetry |
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