| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.30 |
| Score | 0% | 66% |
Which of the following is a mixed number?
\(1 {2 \over 5} \) |
|
\({7 \over 5} \) |
|
\({a \over 5} \) |
|
\({5 \over 7} \) |
A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.
A tiger in a zoo has consumed 49 pounds of food in 7 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 91 pounds?
| 6 | |
| 10 | |
| 12 | |
| 8 |
If the tiger has consumed 49 pounds of food in 7 days that's \( \frac{49}{7} \) = 7 pounds of food per day. The tiger needs to consume 91 - 49 = 42 more pounds of food to reach 91 pounds total. At 7 pounds of food per day that's \( \frac{42}{7} \) = 6 more days.
Which of the following is an improper fraction?
\({a \over 5} \) |
|
\({2 \over 5} \) |
|
\(1 {2 \over 5} \) |
|
\({7 \over 5} \) |
A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.
What is -3a5 + 2a5?
| -a25 | |
| -a5 | |
| -5a5 | |
| -5a-5 |
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:
-3a5 + 2a5
(-3 + 2)a5
-a5
Solve 3 + (3 + 4) ÷ 2 x 5 - 52
| \(\frac{5}{7}\) | |
| 2\(\frac{1}{2}\) | |
| 1\(\frac{1}{4}\) | |
| -4\(\frac{1}{2}\) |
Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):
3 + (3 + 4) ÷ 2 x 5 - 52
P: 3 + (7) ÷ 2 x 5 - 52
E: 3 + 7 ÷ 2 x 5 - 25
MD: 3 + \( \frac{7}{2} \) x 5 - 25
MD: 3 + \( \frac{35}{2} \) - 25
AS: \( \frac{6}{2} \) + \( \frac{35}{2} \) - 25
AS: \( \frac{41}{2} \) - 25
AS: \( \frac{41 - 50}{2} \)
\( \frac{-9}{2} \)
-4\(\frac{1}{2}\)