| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.59 |
| Score | 0% | 72% |
What is the next number in this sequence: 1, 8, 15, 22, 29, __________ ?
| 34 | |
| 36 | |
| 38 | |
| 32 |
The equation for this sequence is:
an = an-1 + 7
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 + 7
a6 = 29 + 7
a6 = 36
A factor is a positive __________ that divides evenly into a given number.
improper fraction |
|
integer |
|
fraction |
|
mixed number |
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 \( \frac{42\sqrt{8}}{6\sqrt{2}} \)?
| \(\frac{1}{7}\) \( \sqrt{\frac{1}{4}} \) | |
| 7 \( \sqrt{\frac{1}{4}} \) | |
| 4 \( \sqrt{7} \) | |
| 7 \( \sqrt{4} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{42\sqrt{8}}{6\sqrt{2}} \)
\( \frac{42}{6} \) \( \sqrt{\frac{8}{2}} \)
7 \( \sqrt{4} \)
A circular logo is enlarged to fit the lid of a jar. The new diameter is 40% larger than the original. By what percentage has the area of the logo increased?
| 37\(\frac{1}{2}\)% | |
| 20% | |
| 25% | |
| 17\(\frac{1}{2}\)% |
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 40% the radius (and, consequently, the total area) increases by \( \frac{40\text{%}}{2} \) = 20%
What is 5y7 + 3y7?
| 8y7 | |
| 2y-7 | |
| 2y7 | |
| 8y-14 |
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:
5y7 + 3y7
(5 + 3)y7
8y7