| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.37 |
| Score | 0% | 67% |
A bread recipe calls for 2\(\frac{3}{8}\) cups of flour. If you only have \(\frac{3}{8}\) cup, how much more flour is needed?
| 1\(\frac{3}{4}\) cups | |
| 2\(\frac{5}{8}\) cups | |
| 2\(\frac{3}{8}\) cups | |
| 2 cups |
The amount of flour you need is (2\(\frac{3}{8}\) - \(\frac{3}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{19}{8} \) - \( \frac{3}{8} \)) cups
\( \frac{16}{8} \) cups
2 cups
If \(\left|a\right| = 7\), which of the following best describes a?
a = 7 |
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none of these is correct |
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a = 7 or a = -7 |
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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).
Which of the following is not an integer?
1 |
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-1 |
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\({1 \over 2}\) |
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0 |
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 is a mixed number?
\({7 \over 5} \) |
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\({a \over 5} \) |
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\({5 \over 7} \) |
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\(1 {2 \over 5} \) |
A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.
On average, the center for a basketball team hits 50% of his shots while a guard on the same team hits 70% of his shots. If the guard takes 30 shots during a game, how many shots will the center have to take to score as many points as the guard assuming each shot is worth the same number of points?
| 42 | |
| 81 | |
| 51 | |
| 36 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 30 x \( \frac{70}{100} \) = \( \frac{70 x 30}{100} \) = \( \frac{2100}{100} \) = 21 shots
The center makes 50% of his shots so he'll have to take:
shots made = shots taken x \( \frac{\text{% made}}{100} \)
shots taken = \( \frac{\text{shots taken}}{\frac{\text{% made}}{100}} \)
to make as many shots as the guard. Plugging in values for the center gives us:
center shots taken = \( \frac{21}{\frac{50}{100}} \) = 21 x \( \frac{100}{50} \) = \( \frac{21 x 100}{50} \) = \( \frac{2100}{50} \) = 42 shots
to make the same number of shots as the guard and thus score the same number of points.