| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.66 |
| Score | 0% | 73% |
Which of the following is a mixed number?
\(1 {2 \over 5} \) |
|
\({a \over 5} \) |
|
\({7 \over 5} \) |
|
\({5 \over 7} \) |
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.
Find the average of the following numbers: 11, 5, 12, 4.
| 8 | |
| 13 | |
| 9 | |
| 7 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{11 + 5 + 12 + 4}{4} \) = \( \frac{32}{4} \) = 8
Solve 5 + (4 + 4) ÷ 2 x 2 - 42
| \(\frac{7}{8}\) | |
| -3 | |
| \(\frac{5}{8}\) | |
| 4 |
Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):
5 + (4 + 4) ÷ 2 x 2 - 42
P: 5 + (8) ÷ 2 x 2 - 42
E: 5 + 8 ÷ 2 x 2 - 16
MD: 5 + \( \frac{8}{2} \) x 2 - 16
MD: 5 + \( \frac{16}{2} \) - 16
AS: \( \frac{10}{2} \) + \( \frac{16}{2} \) - 16
AS: \( \frac{26}{2} \) - 16
AS: \( \frac{26 - 32}{2} \)
\( \frac{-6}{2} \)
-3
What is the next number in this sequence: 1, 2, 3, 4, 5, __________ ?
| 8 | |
| 0 | |
| -3 | |
| 6 |
The equation for this sequence is:
an = an-1 + 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 + 1
a6 = 5 + 1
a6 = 6
What is 7b3 + 6b3?
| 13b3 | |
| b-3 | |
| -b-3 | |
| -b3 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:
7b3 + 6b3
(7 + 6)b3
13b3