| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.60 |
| Score | 0% | 72% |
What is \( \frac{49\sqrt{45}}{7\sqrt{9}} \)?
| \(\frac{1}{7}\) \( \sqrt{5} \) | |
| \(\frac{1}{5}\) \( \sqrt{\frac{1}{7}} \) | |
| \(\frac{1}{5}\) \( \sqrt{7} \) | |
| 7 \( \sqrt{5} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{49\sqrt{45}}{7\sqrt{9}} \)
\( \frac{49}{7} \) \( \sqrt{\frac{45}{9}} \)
7 \( \sqrt{5} \)
What is \( \frac{2}{9} \) ÷ \( \frac{1}{7} \)?
| \(\frac{1}{6}\) | |
| \(\frac{8}{35}\) | |
| 1\(\frac{5}{9}\) | |
| \(\frac{3}{14}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{2}{9} \) ÷ \( \frac{1}{7} \) = \( \frac{2}{9} \) x \( \frac{7}{1} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{2}{9} \) x \( \frac{7}{1} \) = \( \frac{2 x 7}{9 x 1} \) = \( \frac{14}{9} \) = 1\(\frac{5}{9}\)
Solve 4 + (4 + 4) ÷ 2 x 5 - 52
| 1\(\frac{1}{6}\) | |
| \(\frac{2}{3}\) | |
| 1 | |
| -1 |
Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):
4 + (4 + 4) ÷ 2 x 5 - 52
P: 4 + (8) ÷ 2 x 5 - 52
E: 4 + 8 ÷ 2 x 5 - 25
MD: 4 + \( \frac{8}{2} \) x 5 - 25
MD: 4 + \( \frac{40}{2} \) - 25
AS: \( \frac{8}{2} \) + \( \frac{40}{2} \) - 25
AS: \( \frac{48}{2} \) - 25
AS: \( \frac{48 - 50}{2} \)
\( \frac{-2}{2} \)
-1
A factor is a positive __________ that divides evenly into a given number.
improper fraction |
|
fraction |
|
mixed number |
|
integer |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.
What is the next number in this sequence: 1, 4, 7, 10, 13, __________ ?
| 17 | |
| 9 | |
| 25 | |
| 16 |
The equation for this sequence is:
an = an-1 + 3
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
a6 = 13 + 3
a6 = 16