| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.03 |
| Score | 0% | 61% |
What is 2x4 + 9x4?
| 7x-4 | |
| 11x16 | |
| 11x4 | |
| 7x4 |
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:
2x4 + 9x4
(2 + 9)x4
11x4
How many 1\(\frac{1}{2}\) gallon cans worth of fuel would you need to pour into an empty 9 gallon tank to fill it exactly halfway?
| 7 | |
| 2 | |
| 6 | |
| 3 |
To fill a 9 gallon tank exactly halfway you'll need 4\(\frac{1}{2}\) gallons of fuel. Each fuel can holds 1\(\frac{1}{2}\) gallons so:
cans = \( \frac{4\frac{1}{2} \text{ gallons}}{1\frac{1}{2} \text{ gallons}} \) = 3
A tiger in a zoo has consumed 35 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 55 pounds?
| 9 | |
| 4 | |
| 5 | |
| 6 |
If the tiger has consumed 35 pounds of food in 7 days that's \( \frac{35}{7} \) = 5 pounds of food per day. The tiger needs to consume 55 - 35 = 20 more pounds of food to reach 55 pounds total. At 5 pounds of food per day that's \( \frac{20}{5} \) = 4 more days.
If \(\left|a\right| = 7\), which of the following best describes a?
a = 7 |
|
a = 7 or a = -7 |
|
none of these is correct |
|
a = -7 |
The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).
Simplify \( \sqrt{20} \)
| 5\( \sqrt{10} \) | |
| 4\( \sqrt{10} \) | |
| 3\( \sqrt{10} \) | |
| 2\( \sqrt{5} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{20} \)
\( \sqrt{4 \times 5} \)
\( \sqrt{2^2 \times 5} \)
2\( \sqrt{5} \)