| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.22 |
| Score | 0% | 64% |
What is 5a7 x 4a5?
| 20a2 | |
| 9a12 | |
| 20a5 | |
| 20a12 |
To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:
5a7 x 4a5
(5 x 4)a(7 + 5)
20a12
Roger loaned Betty $800 at an annual interest rate of 4%. If no payments are made, what is the total amount owed at the end of the first year?
| $840 | |
| $824 | |
| $872 | |
| $832 |
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 $800
i = 0.04 x $800
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $800 + $32What is 6\( \sqrt{4} \) x 3\( \sqrt{6} \)?
| 18\( \sqrt{10} \) | |
| 9\( \sqrt{4} \) | |
| 36\( \sqrt{6} \) | |
| 18\( \sqrt{4} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
6\( \sqrt{4} \) x 3\( \sqrt{6} \)
(6 x 3)\( \sqrt{4 \times 6} \)
18\( \sqrt{24} \)
Now we need to simplify the radical:
18\( \sqrt{24} \)
18\( \sqrt{6 \times 4} \)
18\( \sqrt{6 \times 2^2} \)
(18)(2)\( \sqrt{6} \)
36\( \sqrt{6} \)
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 15% off." If Ezra buys two shirts, each with a regular price of $40, how much will he pay for both shirts?
| $74.00 | |
| $56.00 | |
| $54.00 | |
| $34.00 |
By buying two shirts, Ezra will save $40 x \( \frac{15}{100} \) = \( \frac{$40 x 15}{100} \) = \( \frac{$600}{100} \) = $6.00 on the second shirt.
So, his total cost will be
$40.00 + ($40.00 - $6.00)
$40.00 + $34.00
$74.00
Which of the following is not an integer?
0 |
|
-1 |
|
1 |
|
\({1 \over 2}\) |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.