| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.02 |
| Score | 0% | 60% |
What is \( \frac{4}{8} \) ÷ \( \frac{1}{8} \)?
| \(\frac{4}{81}\) | |
| 4 | |
| \(\frac{1}{6}\) | |
| \(\frac{1}{32}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{4}{8} \) ÷ \( \frac{1}{8} \) = \( \frac{4}{8} \) x \( \frac{8}{1} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{4}{8} \) x \( \frac{8}{1} \) = \( \frac{4 x 8}{8 x 1} \) = \( \frac{32}{8} \) = 4
Jennifer scored 93% on her final exam. If each question was worth 3 points and there were 90 possible points on the exam, how many questions did Jennifer answer correctly?
| 26 | |
| 28 | |
| 38 | |
| 31 |
Jennifer scored 93% on the test meaning she earned 93% of the possible points on the test. There were 90 possible points on the test so she earned 90 x 0.93 = 84 points. Each question is worth 3 points so she got \( \frac{84}{3} \) = 28 questions right.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 50% off." If Bob buys two shirts, each with a regular price of $26, how much will he pay for both shirts?
| $37.70 | |
| $29.90 | |
| $39.00 | |
| $13.00 |
By buying two shirts, Bob will save $26 x \( \frac{50}{100} \) = \( \frac{$26 x 50}{100} \) = \( \frac{$1300}{100} \) = $13.00 on the second shirt.
So, his total cost will be
$26.00 + ($26.00 - $13.00)
$26.00 + $13.00
$39.00
What is 7b2 + 9b2?
| 2b-2 | |
| 16b2 | |
| 16b-4 | |
| -2b2 |
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:
7b2 + 9b2
(7 + 9)b2
16b2
A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 3 to 2 and the ratio of baseball to basketball cards is 3 to 1, what is the ratio of football to basketball cards?
| 9:2 | |
| 9:1 | |
| 5:4 | |
| 3:8 |
The ratio of football cards to baseball cards is 3:2 and the ratio of baseball cards to basketball cards is 3:1. 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 9:6 and the ratio of baseball cards to basketball cards as 6:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 9:6, 6:2 which reduces to 9:2.