| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.39 |
| Score | 0% | 68% |
What is \( \frac{2}{9} \) x \( \frac{1}{7} \)?
| \(\frac{2}{63}\) | |
| \(\frac{16}{81}\) | |
| \(\frac{1}{7}\) | |
| \(\frac{1}{10}\) |
To multiply fractions, multiply the numerators together and then multiply the denominators together:
\( \frac{2}{9} \) x \( \frac{1}{7} \) = \( \frac{2 x 1}{9 x 7} \) = \( \frac{2}{63} \) = \(\frac{2}{63}\)
12 members of a bridal party need transported to a wedding reception but there are only 2 4-passenger taxis available to take them. How many will need to find other transportation?
| 8 | |
| 7 | |
| 4 | |
| 9 |
There are 2 4-passenger taxis available so that's 2 x 4 = 8 total seats. There are 12 people needing transportation leaving 12 - 8 = 4 who will have to find other transportation.
A tiger in a zoo has consumed 44 pounds of food in 4 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 99 pounds?
| 2 | |
| 4 | |
| 5 | |
| 9 |
If the tiger has consumed 44 pounds of food in 4 days that's \( \frac{44}{4} \) = 11 pounds of food per day. The tiger needs to consume 99 - 44 = 55 more pounds of food to reach 99 pounds total. At 11 pounds of food per day that's \( \frac{55}{11} \) = 5 more days.
Which of the following is not an integer?
0 |
|
1 |
|
\({1 \over 2}\) |
|
-1 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
\({b + c \over a} = {b \over a} + {c \over a}\) defines which of the following?
distributive property for multiplication |
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commutative property for multiplication |
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commutative property for division |
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distributive property for division |
The distributive property for division helps in solving expressions like \({b + c \over a}\). It specifies that the result of dividing a fraction with multiple terms in the numerator and one term in the denominator can be obtained by dividing each term individually and then totaling the results: \({b + c \over a} = {b \over a} + {c \over a}\). For example, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).