| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.96 |
| Score | 0% | 59% |
Which of the following is not an integer?
1 |
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0 |
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-1 |
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\({1 \over 2}\) |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
Which of the following statements about exponents is false?
b0 = 1 |
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b1 = 1 |
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all of these are false |
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b1 = b |
A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).
A bread recipe calls for 3\(\frac{3}{4}\) cups of flour. If you only have 1\(\frac{1}{8}\) cups, how much more flour is needed?
| 2\(\frac{1}{2}\) cups | |
| 2\(\frac{5}{8}\) cups | |
| 1\(\frac{1}{8}\) cups | |
| 1\(\frac{7}{8}\) cups |
The amount of flour you need is (3\(\frac{3}{4}\) - 1\(\frac{1}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{30}{8} \) - \( \frac{9}{8} \)) cups
\( \frac{21}{8} \) cups
2\(\frac{5}{8}\) cups
What is 8\( \sqrt{2} \) x 2\( \sqrt{2} \)?
| 10\( \sqrt{2} \) | |
| 32 | |
| 16\( \sqrt{4} \) | |
| 10\( \sqrt{4} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
8\( \sqrt{2} \) x 2\( \sqrt{2} \)
(8 x 2)\( \sqrt{2 \times 2} \)
16\( \sqrt{4} \)
Now we need to simplify the radical:
16\( \sqrt{4} \)
16\( \sqrt{2^2} \)
(16)(2)
32
If \(\left|a\right| = 7\), which of the following best describes a?
a = -7 |
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a = 7 |
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none of these is correct |
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a = 7 or a = -7 |
The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).