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1. |
Select the figure that is not a reflection. |
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A. |
H | H |
B. |
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C. |
M | M |
D. |
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Hint |
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2. |
Evaluate  . Express the result in scientific notation. |
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A. |
8.0 × 10-9 |
B. |
0.8 × 10-8 |
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C. |
80 × 10-8 |
D. |
8.0 × 10-7 |
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Hint |
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3. |
Find  |
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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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4. |
Solve the equation x2 = 0.81. |
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A. |
x = -0.9 only |
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B. |
x = 0.9 or x = -0.9 |
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C. |
none of these is correct |
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D. |
x = 0.9 only |
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Hint |
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5. |
The graph of y = -4x2 - 1 is _____. |
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A. |
None of these is correct. |
B. |
a straight line |
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C. |
a parabola |
D. |
a circle |
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Hint |
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6. |
What is the equation of the graph shown? |
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A. |
y = x2 + 2x + 1 |
B. |
y = x2 - 2x + 1 |
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C. |
y = -x2 +2x - 1 |
D. |
y = -x2 - 2x - 1 |
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Hint |
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7. |
Simplify 2x2 + 5x2 + 7x. |
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A. |
14x2 |
B. |
2x2 + 12x |
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C. |
7x2 + 7x |
D. |
14x |
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Hint |
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8. |
Solve x2 - 4x + 1 = 0 by completing the square. |
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A. |
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B. |
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C. |
1, 3 |
D. |
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Hint |
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9. |
Solve a2 - a - 20 = 0 by completing the square. |
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A. |
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B. |
-5, 4 |
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C. |
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D. |
-4, 5 |
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Hint |
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10. |
Which characteristic describes a graph that is linear and has direct variation. |
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A. |
Variables x and y are not proportional. |
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B. |
The equation has the form y = mx. |
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C. |
The equation has the form y = mx + b. |
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D. |
The graph does not pass through (0, 0). |
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Hint |
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11. |
Write the equation in slope-intercept form.
–6x = –10 – 2y |
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A. |
y = 3x + 8 |
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B. |
–6x + 2y + 10 = 0 |
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C. |
y + 8 = 3(x + 1) |
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D. |
y = 3x – 5 |
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Hint |
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12. |
Find a quadratic equation for the table. |
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A. |
y = x2 – 5 |
B. |
y = 5x2 – 1 |
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C. |
y = 5x2 + 1 |
D. |
y = 5x2 – 2 |
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Hint |
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13. |
Consider the equation xy = 3. What happens to the value of y when x doubles? |
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A. |
y doubles |
B. |
y halves |
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C. |
y triples |
D. |
y quarters |
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Hint |
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14. |
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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B. |
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C. |
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D. |
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Hint |
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15. |
Translate the figure using the given vector. |
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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. |
Use the difference of two squares to find the product. |
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A. |
–(60 + 1)(60 + 1) = –3,600 – 120 – 1 =– 3,721 |
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B. |
–(60 + 1)(60 – 1) = –3,600 + 1 = –3,599 |
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C. |
(60 + 1)(60 – 1) = 3,600 – 1 = 3,599 |
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D. |
(60 + 1)(60 + 1) = 3,600 + 120 + 1 = 3,721 |
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Hint |
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17. |
In the quadratic formula, what does b2 – 4ac tell you. |
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A. |
the places where a quadratic equation crosses the x-axis |
B. |
the number of solutions in a quadratic equation |
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C. |
the vertex of a quadratic equation |
D. |
the solution(s) in a quadratic equation |
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Hint |
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18. |
Dave, Shareem, Li, and Katlin are deciding which two players will play the first game of checkers. They put their names into a hat and pull out two at random. What is the probability that the pair includes Katlin? |
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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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19. |
Ben, Jenny, Angela, and Craig all ran in the 1-mile cross-country race. What is the probability that Jenny came in first? |
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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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20. |
The table below shows the population in the state of Illinois for the past 100 years, in 10-year increments. Find an exponential function I for which the input is the years after 1900, t, and the output is the approximate population of Illinois in that year. |
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A. |
I (t) = 1,650,710(0.12t) |
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B. |
I (t) = 5,336,159(1.01t) |
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C. |
I (t) = 1,650,710 (2.65t) |
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D. |
I (t) = 1.01(5,336,159t) |
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Hint |
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