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1. |
The values in the graph below are _______ |
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A. |
natural numbers. |
B. |
integers. |
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C. |
rational numbers. |
D. |
irrational numbers. |
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Hint |
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2. |
Name the multiplicative inverse of 5. |
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A. |
50 |
B. |
20 |
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C. |
0.2 |
D. |
-5 |
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Hint |
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3. |
In a science experiment, students hung a cup from a spring and measured the length of the spring when candies were added to it. Their data are shown in the table below. Which statement is true? |
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A. |
The relation is not a function because only a line can be a function. |
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B. |
The relation is not a function because there are two y values for some x values. |
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C. |
The relation is a function because the range values increase. |
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D. |
The relation is a function because for each x value, there is exactly one y value. |
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Hint |
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4. |
Which equation has a graph that is parallel to the graph of 4x - 2y = 1? |
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A. |
 |
B. |
 |
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C. |
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D. |
y = 2x - 3 |
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Hint |
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5. |
Which is not a point at which a maximum or minimum value of a function could occur for the feasible region? |
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A. |
(1, 5) |
B. |
(-3, 6) |
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C. |
(0, 3) |
D. |
(-3, 0) |
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Hint |
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6. |
Solve [3x 8y] = [-12 1] for x and y. |
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A. |
x = -4
y = 8 |
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B. |
x = -4
y =  |
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C. |
x = 4
y = 1 |
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D. |
x = -12
y = 1 |
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Hint |
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7. |
Simplify (8 - 9i) + (3 + 4i). |
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A. |
-i + 17 |
B. |
17 + 7i |
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C. |
11 + 5i |
D. |
11 - 5i |
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Hint |
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8. |
Find f(-2) for f(x) = 2x4 - x3 + 5x + 1. |
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A. |
-57 |
B. |
-21 |
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C. |
31 |
D. |
-29 |
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Hint |
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9. |
Find the value of a if the graph of the exponential function y = a· 2x passes through the point A(3, 128). |
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A. |
4 |
B. |
8 |
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C. |
16 |
D. |
32 |
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Hint |
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10. |
 |
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A. |
28 |
B. |
The sum does not exist. |
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C. |
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D. |
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Hint |
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11. |
The length of the arc of the swing of a pendulum is 120 mm. If the length of the arc of each succeeding swing is decreased by 10%, find the total distance the pendulum travels before it stops. |
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A. |
1200 mm |
B. |
90 mm |
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C. |
800 mm |
D. |
1000 mm |
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Hint |
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12. |
Which graph shows the inequality 5x – 2y  8? |
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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. |
Express the result in scientific notation.  |
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A. |
1.25 × 10-10 |
B. |
1.25 × 10-4 |
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C. |
1.25 × 1010 |
D. |
1.25 × 104 |
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Hint |
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14. |
Write the expression  in quadratic form. |
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A. |
 |
B. |
 |
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C. |
cannot be done, since  |
D. |
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Hint |
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15. |
Is the inverse of a quadratic function a square root function? |
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A. |
It is a square root function only if it is a quadratic function that opens up. |
B. |
No. |
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C. |
It is a square root function only if the range is restricted to nonnegative numbers. |
D. |
Yes. |
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Hint |
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16. |
A square root function,  , can be used to represent income made on an investment, with x being the amount originally spent, and f(x) being the profit. How much money would have to be spent in order to make $50? |
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A. |
$20 |
B. |
$2000 |
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C. |
$2050 |
D. |
$7.91 |
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Hint |
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17. |
Write the equation  in standard form. |
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A. |
 |
B. |
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C. |
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D. |
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Hint |
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18. |
What is the major difference between circles and ellipses? |
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A. |
Equations for ellipses can always be written in the form  , while circles cannot. |
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B. |
In circles, one of the squared terms has a coefficient that is = 0. |
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C. |
Ellipses may be elongated on one axis, while circles have a constant radius. |
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D. |
Ellipses are functions of x, while circles are not. |
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Hint |
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19. |
Which of the following is not always a step in mathematical induction? |
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A. |
Prove true for n + 1. |
B. |
Prove true for some integer n. |
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C. |
Add (k + 1)2 to each side. |
D. |
Assume true for a positive integer k. |
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Hint |
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20. |
Which of the following is a counterexample to the statement 8k – 1 = 9r for all k, where k and r are integers? |
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A. |
8(8k) = 8(9r + 1) |
B. |
8 = 9 – 1 |
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C. |
83 – 1 = 511, 511 ÷ 9 = 56.8 |
D. |
(84 – 1) ÷ 9 = 455 |
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Hint |
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