| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.43 |
| Score | 0% | 69% |
Simplify \( \sqrt{28} \)
| 2\( \sqrt{7} \) | |
| 4\( \sqrt{14} \) | |
| 9\( \sqrt{7} \) | |
| 7\( \sqrt{7} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{28} \)
\( \sqrt{4 \times 7} \)
\( \sqrt{2^2 \times 7} \)
2\( \sqrt{7} \)
A bread recipe calls for 2 cups of flour. If you only have \(\frac{3}{8}\) cup, how much more flour is needed?
| 1\(\frac{5}{8}\) cups | |
| 2\(\frac{3}{8}\) cups | |
| 2\(\frac{1}{2}\) cups | |
| 1\(\frac{1}{2}\) cups |
The amount of flour you need is (2 - \(\frac{3}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{16}{8} \) - \( \frac{3}{8} \)) cups
\( \frac{13}{8} \) cups
1\(\frac{5}{8}\) cups
a(b + c) = ab + ac defines which of the following?
commutative property for multiplication |
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distributive property for multiplication |
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commutative property for division |
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distributive property for division |
The distributive property for multiplication helps in solving expressions like a(b + c). It specifies that the result of multiplying one number by the sum or difference of two numbers can be obtained by multiplying each number individually and then totaling the results: a(b + c) = ab + ac. For example, 4(10-5) = (4 x 10) - (4 x 5) = 40 - 20 = 20.
25 members of a bridal party need transported to a wedding reception but there are only 4 5-passenger taxis available to take them. How many will need to find other transportation?
| 9 | |
| 2 | |
| 5 | |
| 7 |
There are 4 5-passenger taxis available so that's 4 x 5 = 20 total seats. There are 25 people needing transportation leaving 25 - 20 = 5 who will have to find other transportation.
What is \( \frac{4}{6} \) ÷ \( \frac{3}{6} \)?
| \(\frac{2}{21}\) | |
| \(\frac{1}{6}\) | |
| 1\(\frac{1}{3}\) | |
| \(\frac{3}{56}\) |
To divide fractions, invert the second fraction and then multiply:
\( \frac{4}{6} \) ÷ \( \frac{3}{6} \) = \( \frac{4}{6} \) x \( \frac{6}{3} \)
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{4}{6} \) x \( \frac{6}{3} \) = \( \frac{4 x 6}{6 x 3} \) = \( \frac{24}{18} \) = 1\(\frac{1}{3}\)