| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.20 |
| Score | 0% | 64% |
What is \( \frac{4}{3} \) - \( \frac{4}{11} \)?
| \( \frac{9}{33} \) | |
| 2 \( \frac{1}{33} \) | |
| \( \frac{5}{33} \) | |
| \(\frac{32}{33}\) |
To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 3 are [3, 6, 9, 12, 15, 18, 21, 24, 27, 30] and the first few multiples of 11 are [11, 22, 33, 44, 55, 66, 77, 88, 99]. The first few multiples they share are [33, 66, 99] making 33 the smallest multiple 3 and 11 share.
Next, convert the fractions so each denominator equals the lowest common multiple:
\( \frac{4 x 11}{3 x 11} \) - \( \frac{4 x 3}{11 x 3} \)
\( \frac{44}{33} \) - \( \frac{12}{33} \)
Now, because the fractions share a common denominator, you can subtract them:
\( \frac{44 - 12}{33} \) = \( \frac{32}{33} \) = \(\frac{32}{33}\)
If \(\left|a\right| = 7\), which of the following best describes a?
a = 7 or a = -7 |
|
a = 7 |
|
a = -7 |
|
none of these is correct |
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 8b7 + b7?
| 9b7 | |
| 7b7 | |
| 9b49 | |
| 7b-7 |
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:
8b7 + 1b7
(8 + 1)b7
9b7
| 4.9 | |
| 0.4 | |
| 5.4 | |
| 1 |
1
What is -7y7 - 7y7?
| -14y7 | |
| 14y7 | |
| 14y-7 | |
| 49 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:
-7y7 - 7y7
(-7 - 7)y7
-14y7