| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.59 |
| Score | 0% | 72% |
What is 7\( \sqrt{6} \) x 7\( \sqrt{5} \)?
| 49\( \sqrt{30} \) | |
| 49\( \sqrt{6} \) | |
| 14\( \sqrt{30} \) | |
| 49\( \sqrt{11} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
7\( \sqrt{6} \) x 7\( \sqrt{5} \)
(7 x 7)\( \sqrt{6 \times 5} \)
49\( \sqrt{30} \)
What is 4x6 x 8x6?
| 32x12 | |
| 32x36 | |
| 12x12 | |
| 12x36 |
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:
4x6 x 8x6
(4 x 8)x(6 + 6)
32x12
What is the next number in this sequence: 1, 10, 19, 28, 37, __________ ?
| 55 | |
| 47 | |
| 52 | |
| 46 |
The equation for this sequence is:
an = an-1 + 9
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 9
a6 = 37 + 9
a6 = 46
What is (c5)4?
| c-1 | |
| 4c5 | |
| c9 | |
| c20 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(c5)4Ezra loaned Monty $500 at an annual interest rate of 7%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $35 | |
| $4 | |
| $56 | |
| $27 |
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 $500
i = 0.07 x $500
i = $35