| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.43 |
| Score | 0% | 69% |
Which of these numbers is a factor of 48?
| 41 | |
| 26 | |
| 37 | |
| 2 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.
Simplify \( \sqrt{45} \)
| 9\( \sqrt{5} \) | |
| 5\( \sqrt{5} \) | |
| 4\( \sqrt{10} \) | |
| 3\( \sqrt{5} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{45} \)
\( \sqrt{9 \times 5} \)
\( \sqrt{3^2 \times 5} \)
3\( \sqrt{5} \)
What is -5z7 x 4z2?
| -20z2 | |
| -20z7 | |
| -20z9 | |
| -z2 |
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:
-5z7 x 4z2
(-5 x 4)z(7 + 2)
-20z9
Convert 750,000 to scientific notation.
| 7.5 x 105 | |
| 7.5 x 106 | |
| 7.5 x 104 | |
| 7.5 x 10-5 |
A number in scientific notation has the format 0.000 x 10exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:
750,000 in scientific notation is 7.5 x 105
11 members of a bridal party need transported to a wedding reception but there are only 2 4-passenger taxis available to take them. How many will need to find other transportation?
| 8 | |
| 7 | |
| 3 | |
| 2 |
There are 2 4-passenger taxis available so that's 2 x 4 = 8 total seats. There are 11 people needing transportation leaving 11 - 8 = 3 who will have to find other transportation.