| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.80 |
| Score | 0% | 56% |
Simplify \( \sqrt{32} \)
| 8\( \sqrt{4} \) | |
| 5\( \sqrt{2} \) | |
| 4\( \sqrt{2} \) | |
| 8\( \sqrt{2} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{32} \)
\( \sqrt{16 \times 2} \)
\( \sqrt{4^2 \times 2} \)
4\( \sqrt{2} \)
A bread recipe calls for 2\(\frac{5}{8}\) cups of flour. If you only have 1\(\frac{1}{4}\) cups, how much more flour is needed?
| 1\(\frac{1}{4}\) cups | |
| 1\(\frac{3}{8}\) cups | |
| 3 cups | |
| 3\(\frac{1}{8}\) cups |
The amount of flour you need is (2\(\frac{5}{8}\) - 1\(\frac{1}{4}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{21}{8} \) - \( \frac{10}{8} \)) cups
\( \frac{11}{8} \) cups
1\(\frac{3}{8}\) cups
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 40% off." If Monty buys two shirts, each with a regular price of $34, how much money will he save?
| $3.40 | |
| $10.20 | |
| $8.50 | |
| $13.60 |
By buying two shirts, Monty will save $34 x \( \frac{40}{100} \) = \( \frac{$34 x 40}{100} \) = \( \frac{$1360}{100} \) = $13.60 on the second shirt.
What is 6\( \sqrt{7} \) x 4\( \sqrt{6} \)?
| 24\( \sqrt{7} \) | |
| 24\( \sqrt{42} \) | |
| 10\( \sqrt{7} \) | |
| 24\( \sqrt{6} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
6\( \sqrt{7} \) x 4\( \sqrt{6} \)
(6 x 4)\( \sqrt{7 \times 6} \)
24\( \sqrt{42} \)
Which of the following statements about exponents is false?
b1 = 1 |
|
b0 = 1 |
|
b1 = b |
|
all of these are false |
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).