| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.53 |
| Score | 0% | 71% |
If \( \left|y + 9\right| \) + 8 = 3, which of these is a possible value for y?
| 2 | |
| 17 | |
| -4 | |
| 6 |
First, solve for \( \left|y + 9\right| \):
\( \left|y + 9\right| \) + 8 = 3
\( \left|y + 9\right| \) = 3 - 8
\( \left|y + 9\right| \) = -5
The value inside the absolute value brackets can be either positive or negative so (y + 9) must equal - 5 or --5 for \( \left|y + 9\right| \) to equal -5:
| y + 9 = -5 y = -5 - 9 y = -14 | y + 9 = 5 y = 5 - 9 y = -4 |
So, y = -4 or y = -14.
What is \( \frac{-8y^5}{1y^4} \)?
| -8y | |
| -8y20 | |
| -8y1\(\frac{1}{4}\) | |
| -\(\frac{1}{8}\)y-1 |
To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:
\( \frac{-8y^5}{y^4} \)
\( \frac{-8}{1} \) y(5 - 4)
-8y
What is the next number in this sequence: 1, 10, 19, 28, 37, __________ ?
| 53 | |
| 46 | |
| 42 | |
| 55 |
The equation for this sequence is:
an = an-1 + 9
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 + 9
a6 = 37 + 9
a6 = 46
Which of the following is an improper fraction?
\({7 \over 5} \) |
|
\({2 \over 5} \) |
|
\(1 {2 \over 5} \) |
|
\({a \over 5} \) |
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.
Which of these numbers is a factor of 20?
| 15 | |
| 10 | |
| 24 | |
| 8 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 20 are 1, 2, 4, 5, 10, 20.