| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.01 |
| Score | 0% | 60% |
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 20% off." If Monty buys two shirts, each with a regular price of $20, how much money will he save?
| $2.00 | |
| $4.00 | |
| $5.00 | |
| $1.00 |
By buying two shirts, Monty will save $20 x \( \frac{20}{100} \) = \( \frac{$20 x 20}{100} \) = \( \frac{$400}{100} \) = $4.00 on the second shirt.
If \(\left|a\right| = 7\), which of the following best describes a?
a = 7 or a = -7 |
|
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).
What is 4\( \sqrt{4} \) x 8\( \sqrt{5} \)?
| 64\( \sqrt{5} \) | |
| 12\( \sqrt{4} \) | |
| 32\( \sqrt{4} \) | |
| 32\( \sqrt{9} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
4\( \sqrt{4} \) x 8\( \sqrt{5} \)
(4 x 8)\( \sqrt{4 \times 5} \)
32\( \sqrt{20} \)
Now we need to simplify the radical:
32\( \sqrt{20} \)
32\( \sqrt{5 \times 4} \)
32\( \sqrt{5 \times 2^2} \)
(32)(2)\( \sqrt{5} \)
64\( \sqrt{5} \)
If a mayor is elected with 75% of the votes cast and 38% of a town's 25,000 voters cast a vote, how many votes did the mayor receive?
| 4,845 | |
| 7,125 | |
| 4,940 | |
| 6,270 |
If 38% of the town's 25,000 voters cast ballots the number of votes cast is:
(\( \frac{38}{100} \)) x 25,000 = \( \frac{950,000}{100} \) = 9,500
The mayor got 75% of the votes cast which is:
(\( \frac{75}{100} \)) x 9,500 = \( \frac{712,500}{100} \) = 7,125 votes.
Ezra loaned Roger $1,400 at an annual interest rate of 1%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $112 | |
| $2 | |
| $24 | |
| $14 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $1,400
i = 0.01 x $1,400
i = $14