| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.28 |
| Score | 0% | 66% |
Simplify \( \sqrt{175} \)
| 7\( \sqrt{14} \) | |
| 5\( \sqrt{14} \) | |
| 9\( \sqrt{7} \) | |
| 5\( \sqrt{7} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{175} \)
\( \sqrt{25 \times 7} \)
\( \sqrt{5^2 \times 7} \)
5\( \sqrt{7} \)
A circular logo is enlarged to fit the lid of a jar. The new diameter is 75% larger than the original. By what percentage has the area of the logo increased?
| 35% | |
| 25% | |
| 27\(\frac{1}{2}\)% | |
| 37\(\frac{1}{2}\)% |
The area of a circle is given by the formula A = πr2 where r is the radius of the circle. The radius of a circle is its diameter divided by two so A = π(\( \frac{d}{2} \))2. If the diameter of the logo increases by 75% the radius (and, consequently, the total area) increases by \( \frac{75\text{%}}{2} \) = 37\(\frac{1}{2}\)%
What is (b3)2?
| b-1 | |
| 3b2 | |
| 2b3 | |
| b6 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(b3)2The __________ is the greatest factor that divides two integers.
least common multiple |
|
greatest common factor |
|
greatest common multiple |
|
absolute value |
The greatest common factor (GCF) is the greatest factor that divides two integers.
Which of these numbers is a factor of 36?
| 22 | |
| 7 | |
| 26 | |
| 4 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36.