| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.29 |
| Score | 0% | 66% |
The __________ is the smallest positive integer that is a multiple of two or more integers.
greatest common factor |
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least common factor |
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absolute value |
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least common multiple |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
What is 8x5 + 2x5?
| 6x-5 | |
| -6x-5 | |
| 10x5 | |
| 10x-10 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:
8x5 + 2x5
(8 + 2)x5
10x5
What is \( \frac{6\sqrt{10}}{3\sqrt{5}} \)?
| \(\frac{1}{2}\) \( \sqrt{\frac{1}{2}} \) | |
| 2 \( \sqrt{\frac{1}{2}} \) | |
| \(\frac{1}{2}\) \( \sqrt{2} \) | |
| 2 \( \sqrt{2} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{6\sqrt{10}}{3\sqrt{5}} \)
\( \frac{6}{3} \) \( \sqrt{\frac{10}{5}} \)
2 \( \sqrt{2} \)
What is the next number in this sequence: 1, 3, 7, 13, 21, __________ ?
| 22 | |
| 40 | |
| 23 | |
| 31 |
The equation for this sequence is:
an = an-1 + 2(n - 1)
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 + 2(6 - 1)
a6 = 21 + 2(5)
a6 = 31
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 5% off." If Charlie buys two shirts, each with a regular price of $14, how much money will he save?
| $0.70 | |
| $7.00 | |
| $5.60 | |
| $4.90 |
By buying two shirts, Charlie will save $14 x \( \frac{5}{100} \) = \( \frac{$14 x 5}{100} \) = \( \frac{$70}{100} \) = $0.70 on the second shirt.