| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.08 |
| Score | 0% | 62% |
What is 5\( \sqrt{6} \) x 6\( \sqrt{9} \)?
| 30\( \sqrt{9} \) | |
| 11\( \sqrt{54} \) | |
| 90\( \sqrt{6} \) | |
| 30\( \sqrt{15} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
5\( \sqrt{6} \) x 6\( \sqrt{9} \)
(5 x 6)\( \sqrt{6 \times 9} \)
30\( \sqrt{54} \)
Now we need to simplify the radical:
30\( \sqrt{54} \)
30\( \sqrt{6 \times 9} \)
30\( \sqrt{6 \times 3^2} \)
(30)(3)\( \sqrt{6} \)
90\( \sqrt{6} \)
Which of the following statements about exponents is false?
all of these are false |
|
b1 = 1 |
|
b1 = b |
|
b0 = 1 |
A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).
The __________ is the greatest factor that divides two integers.
absolute value |
|
greatest common multiple |
|
least common multiple |
|
greatest common factor |
The greatest common factor (GCF) is the greatest factor that divides two integers.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 45% off." If Alex buys two shirts, each with a regular price of $38, how much money will he save?
| $17.10 | |
| $13.30 | |
| $1.90 | |
| $5.70 |
By buying two shirts, Alex will save $38 x \( \frac{45}{100} \) = \( \frac{$38 x 45}{100} \) = \( \frac{$1710}{100} \) = $17.10 on the second shirt.
If a car travels 180 miles in 3 hours, what is the average speed?
| 55 mph | |
| 30 mph | |
| 60 mph | |
| 70 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)