| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.99 |
| Score | 0% | 60% |
Solve 2 + (4 + 3) ÷ 2 x 5 - 32
| 1\(\frac{1}{4}\) | |
| 10\(\frac{1}{2}\) | |
| \(\frac{1}{3}\) | |
| \(\frac{5}{8}\) |
Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):
2 + (4 + 3) ÷ 2 x 5 - 32
P: 2 + (7) ÷ 2 x 5 - 32
E: 2 + 7 ÷ 2 x 5 - 9
MD: 2 + \( \frac{7}{2} \) x 5 - 9
MD: 2 + \( \frac{35}{2} \) - 9
AS: \( \frac{4}{2} \) + \( \frac{35}{2} \) - 9
AS: \( \frac{39}{2} \) - 9
AS: \( \frac{39 - 18}{2} \)
\( \frac{21}{2} \)
10\(\frac{1}{2}\)
If \(\left|a\right| = 7\), which of the following best describes a?
a = 7 or a = -7 |
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none of these is correct |
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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).
What is the next number in this sequence: 1, 9, 17, 25, 33, __________ ?
| 37 | |
| 41 | |
| 48 | |
| 43 |
The equation for this sequence is:
an = an-1 + 8
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 8
a6 = 33 + 8
a6 = 41
On average, the center for a basketball team hits 50% of his shots while a guard on the same team hits 60% of his shots. If the guard takes 10 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?
| 12 | |
| 13 | |
| 22 | |
| 17 |
guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 10 x \( \frac{60}{100} \) = \( \frac{60 x 10}{100} \) = \( \frac{600}{100} \) = 6 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 = \( \frac{6}{\frac{50}{100}} \) = 6 x \( \frac{100}{50} \) = \( \frac{6 x 100}{50} \) = \( \frac{600}{50} \) = 12 shots
to make the same number of shots as the guard and thus score the same number of points.
Which of the following statements about exponents is false?
b1 = 1 |
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all of these are false |
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b0 = 1 |
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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).