| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.15 |
| Score | 0% | 63% |
Which of the following statements about exponents is false?
all of these are false |
|
b1 = 1 |
|
b1 = b |
|
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).
Which of these numbers is a factor of 36?
| 4 | |
| 25 | |
| 7 | |
| 32 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36.
Alex loaned Alex $400 at an annual interest rate of 5%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $20 | |
| $14 | |
| $12 | |
| $9 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $400
i = 0.05 x $400
i = $20
If \( \left|b + 9\right| \) + 5 = -4, which of these is a possible value for b?
| 6 | |
| -18 | |
| -13 | |
| -11 |
First, solve for \( \left|b + 9\right| \):
\( \left|b + 9\right| \) + 5 = -4
\( \left|b + 9\right| \) = -4 - 5
\( \left|b + 9\right| \) = -9
The value inside the absolute value brackets can be either positive or negative so (b + 9) must equal - 9 or --9 for \( \left|b + 9\right| \) to equal -9:
| b + 9 = -9 b = -9 - 9 b = -18 | b + 9 = 9 b = 9 - 9 b = 0 |
So, b = 0 or b = -18.
What is the next number in this sequence: 1, 4, 10, 19, 31, __________ ?
| 40 | |
| 48 | |
| 55 | |
| 46 |
The equation for this sequence is:
an = an-1 + 3(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 + 3(6 - 1)
a6 = 31 + 3(5)
a6 = 46