| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.54 |
| Score | 0% | 71% |
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 50% off." If Roger buys two shirts, each with a regular price of $46, how much money will he save?
| $9.20 | |
| $23.00 | |
| $13.80 | |
| $11.50 |
By buying two shirts, Roger will save $46 x \( \frac{50}{100} \) = \( \frac{$46 x 50}{100} \) = \( \frac{$2300}{100} \) = $23.00 on the second shirt.
Simplify \( \sqrt{27} \)
| 8\( \sqrt{3} \) | |
| 3\( \sqrt{3} \) | |
| 9\( \sqrt{6} \) | |
| 7\( \sqrt{3} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{27} \)
\( \sqrt{9 \times 3} \)
\( \sqrt{3^2 \times 3} \)
3\( \sqrt{3} \)
What is -9z3 - 6z3?
| 15z-3 | |
| -3z9 | |
| -15z3 | |
| -3z6 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:
-9z3 - 6z3
(-9 - 6)z3
-15z3
If \(\left|a\right| = 7\), which of the following best describes a?
a = -7 |
|
none of these is correct |
|
a = 7 or a = -7 |
|
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).
4! = ?
4 x 3 x 2 x 1 |
|
3 x 2 x 1 |
|
4 x 3 |
|
5 x 4 x 3 x 2 x 1 |
A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.