| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.18 |
| Score | 0% | 64% |
What is 4c2 x c7?
| 4c14 | |
| 4c7 | |
| 5c9 | |
| 4c9 |
To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:
4c2 x c7
(4 x 1)c(2 + 7)
4c9
Which of the following is an improper fraction?
\({2 \over 5} \) |
|
\(1 {2 \over 5} \) |
|
\({a \over 5} \) |
|
\({7 \over 5} \) |
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.
What is \( 3 \)\( \sqrt{80} \) + \( 4 \)\( \sqrt{5} \)
| 7\( \sqrt{5} \) | |
| 16\( \sqrt{5} \) | |
| 7\( \sqrt{80} \) | |
| 12\( \sqrt{16} \) |
To add these radicals together their radicands must be the same:
3\( \sqrt{80} \) + 4\( \sqrt{5} \)
3\( \sqrt{16 \times 5} \) + 4\( \sqrt{5} \)
3\( \sqrt{4^2 \times 5} \) + 4\( \sqrt{5} \)
(3)(4)\( \sqrt{5} \) + 4\( \sqrt{5} \)
12\( \sqrt{5} \) + 4\( \sqrt{5} \)
Now that the radicands are identical, you can add them together:
12\( \sqrt{5} \) + 4\( \sqrt{5} \)Find the average of the following numbers: 16, 12, 16, 12.
| 14 | |
| 10 | |
| 19 | |
| 12 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{16 + 12 + 16 + 12}{4} \) = \( \frac{56}{4} \) = 14
A bread recipe calls for 3\(\frac{1}{4}\) cups of flour. If you only have \(\frac{5}{8}\) cup, how much more flour is needed?
| 2\(\frac{1}{2}\) cups | |
| 2\(\frac{5}{8}\) cups | |
| 1\(\frac{1}{4}\) cups | |
| 3\(\frac{1}{4}\) cups |
The amount of flour you need is (3\(\frac{1}{4}\) - \(\frac{5}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{26}{8} \) - \( \frac{5}{8} \)) cups
\( \frac{21}{8} \) cups
2\(\frac{5}{8}\) cups