| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.36 |
| Score | 0% | 67% |
What is the next number in this sequence: 1, 7, 13, 19, 25, __________ ?
| 36 | |
| 23 | |
| 31 | |
| 24 |
The equation for this sequence is:
an = an-1 + 6
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 + 6
a6 = 25 + 6
a6 = 31
Which of the following statements about exponents is false?
b1 = b |
|
all of these are false |
|
b1 = 1 |
|
b0 = 1 |
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).
If \( \left|b - 7\right| \) - 6 = -9, which of these is a possible value for b?
| 4 | |
| 11 | |
| 18 | |
| -4 |
First, solve for \( \left|b - 7\right| \):
\( \left|b - 7\right| \) - 6 = -9
\( \left|b - 7\right| \) = -9 + 6
\( \left|b - 7\right| \) = -3
The value inside the absolute value brackets can be either positive or negative so (b - 7) must equal - 3 or --3 for \( \left|b - 7\right| \) to equal -3:
| b - 7 = -3 b = -3 + 7 b = 4 | b - 7 = 3 b = 3 + 7 b = 10 |
So, b = 10 or b = 4.
What is \( \frac{2}{7} \) x \( \frac{3}{9} \)?
| \(\frac{2}{21}\) | |
| \(\frac{6}{49}\) | |
| \(\frac{1}{28}\) | |
| \(\frac{12}{35}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{2}{7} \) x \( \frac{3}{9} \) = \( \frac{2 x 3}{7 x 9} \) = \( \frac{6}{63} \) = \(\frac{2}{21}\)
What is the next number in this sequence: 1, 5, 13, 25, 41, __________ ?
| 57 | |
| 61 | |
| 58 | |
| 64 |
The equation for this sequence is:
an = an-1 + 4(n - 1)
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 + 4(6 - 1)
a6 = 41 + 4(5)
a6 = 61