| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.19 |
| Score | 0% | 64% |
What is \( \frac{3}{7} \) ÷ \( \frac{3}{6} \)?
| \(\frac{2}{21}\) | |
| \(\frac{1}{12}\) | |
| \(\frac{1}{7}\) | |
| \(\frac{6}{7}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{3}{7} \) ÷ \( \frac{3}{6} \) = \( \frac{3}{7} \) x \( \frac{6}{3} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{3}{7} \) x \( \frac{6}{3} \) = \( \frac{3 x 6}{7 x 3} \) = \( \frac{18}{21} \) = \(\frac{6}{7}\)
A bread recipe calls for 2\(\frac{3}{8}\) cups of flour. If you only have \(\frac{5}{8}\) cup, how much more flour is needed?
| 1\(\frac{3}{4}\) cups | |
| \(\frac{3}{4}\) cups | |
| 2\(\frac{5}{8}\) cups | |
| 2\(\frac{1}{2}\) cups |
The amount of flour you need is (2\(\frac{3}{8}\) - \(\frac{5}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{19}{8} \) - \( \frac{5}{8} \)) cups
\( \frac{14}{8} \) cups
1\(\frac{3}{4}\) cups
What is -9y4 - 8y4?
| -y8 | |
| -17y4 | |
| 17y4 | |
| 17y-4 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:
-9y4 - 8y4
(-9 - 8)y4
-17y4
Which of the following statements about exponents is false?
all of these are false |
|
b0 = 1 |
|
b1 = 1 |
|
b1 = b |
A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).
Find the average of the following numbers: 18, 12, 16, 14.
| 10 | |
| 15 | |
| 18 | |
| 17 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{18 + 12 + 16 + 14}{4} \) = \( \frac{60}{4} \) = 15