| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.14 |
| Score | 0% | 63% |
What is \( \frac{1y^8}{8y^3} \)?
| 8y11 | |
| \(\frac{1}{8}\)y24 | |
| \(\frac{1}{8}\)y5 | |
| \(\frac{1}{8}\)y2\(\frac{2}{3}\) |
To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:
\( \frac{y^8}{8y^3} \)
\( \frac{1}{8} \) y(8 - 3)
\(\frac{1}{8}\)y5
What is the next number in this sequence: 1, 4, 10, 19, 31, __________ ?
| 51 | |
| 54 | |
| 46 | |
| 47 |
The equation for this sequence is:
an = an-1 + 3(n - 1)
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(6 - 1)
a6 = 31 + 3(5)
a6 = 46
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 25% off." If Frank buys two shirts, each with a regular price of $11, how much will he pay for both shirts?
| $14.85 | |
| $8.25 | |
| $19.25 | |
| $14.30 |
By buying two shirts, Frank will save $11 x \( \frac{25}{100} \) = \( \frac{$11 x 25}{100} \) = \( \frac{$275}{100} \) = $2.75 on the second shirt.
So, his total cost will be
$11.00 + ($11.00 - $2.75)
$11.00 + $8.25
$19.25
A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 5 to 2 and the ratio of baseball to basketball cards is 5 to 1, what is the ratio of football to basketball cards?
| 1:2 | |
| 9:6 | |
| 7:8 | |
| 25:2 |
The ratio of football cards to baseball cards is 5:2 and the ratio of baseball cards to basketball cards is 5:1. To solve this problem, we need the baseball card side of each ratio to be equal so we need to rewrite the ratios in terms of a common number of baseball cards. (Think of this like finding the common denominator when adding fractions.) The ratio of football to baseball cards can also be written as 25:10 and the ratio of baseball cards to basketball cards as 10:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 25:10, 10:2 which reduces to 25:2.
What is 5b6 x 3b5?
| 15b11 | |
| 15b | |
| 8b11 | |
| 15b5 |
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:
5b6 x 3b5
(5 x 3)b(6 + 5)
15b11