| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.38 |
| Score | 0% | 68% |
What is the least common multiple of 4 and 8?
| 8 | |
| 10 | |
| 5 | |
| 20 |
The first few multiples of 4 are [4, 8, 12, 16, 20, 24, 28, 32, 36, 40] and the first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80]. The first few multiples they share are [8, 16, 24, 32, 40] making 8 the smallest multiple 4 and 8 have in common.
What is \( \frac{-7x^7}{4x^3} \)?
| -1\(\frac{3}{4}\)x4 | |
| -\(\frac{4}{7}\)x4 | |
| -1\(\frac{3}{4}\)x-4 | |
| -1\(\frac{3}{4}\)x2\(\frac{1}{3}\) |
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:
\( \frac{-7x^7}{4x^3} \)
\( \frac{-7}{4} \) x(7 - 3)
-1\(\frac{3}{4}\)x4
A bread recipe calls for 2 cups of flour. If you only have 1\(\frac{3}{4}\) cups, how much more flour is needed?
| 1\(\frac{7}{8}\) cups | |
| \(\frac{1}{4}\) cups | |
| 2\(\frac{3}{8}\) cups | |
| 2\(\frac{1}{4}\) cups |
The amount of flour you need is (2 - 1\(\frac{3}{4}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{16}{8} \) - \( \frac{14}{8} \)) cups
\( \frac{2}{8} \) cups
\(\frac{1}{4}\) cups
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 10% off." If Damon buys two shirts, each with a regular price of $39, how much money will he save?
| $15.60 | |
| $1.95 | |
| $7.80 | |
| $3.90 |
By buying two shirts, Damon will save $39 x \( \frac{10}{100} \) = \( \frac{$39 x 10}{100} \) = \( \frac{$390}{100} \) = $3.90 on the second shirt.
What is -7b6 x b5?
| -7b11 | |
| -6b5 | |
| -6b30 | |
| -7b5 |
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:
-7b6 x b5
(-7 x 1)b(6 + 5)
-7b11