| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.30 |
| Score | 0% | 66% |
What is -3a2 x 6a2?
| -18a0 | |
| -18a4 | |
| 3a4 | |
| -18a2 |
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:
-3a2 x 6a2
(-3 x 6)a(2 + 2)
-18a4
Which of these numbers is a factor of 56?
| 25 | |
| 18 | |
| 28 | |
| 17 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56.
Which of the following is not an integer?
\({1 \over 2}\) |
|
0 |
|
-1 |
|
1 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
What is 5\( \sqrt{7} \) x 7\( \sqrt{9} \)?
| 12\( \sqrt{63} \) | |
| 12\( \sqrt{7} \) | |
| 105\( \sqrt{7} \) | |
| 35\( \sqrt{16} \) |
To multiply terms with radicals, multiply the coefficients and radicands separately:
5\( \sqrt{7} \) x 7\( \sqrt{9} \)
(5 x 7)\( \sqrt{7 \times 9} \)
35\( \sqrt{63} \)
Now we need to simplify the radical:
35\( \sqrt{63} \)
35\( \sqrt{7 \times 9} \)
35\( \sqrt{7 \times 3^2} \)
(35)(3)\( \sqrt{7} \)
105\( \sqrt{7} \)
What is the next number in this sequence: 1, 4, 10, 19, 31, __________ ?
| 39 | |
| 46 | |
| 48 | |
| 54 |
The equation for this sequence is:
an = an-1 + 3(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 + 3(6 - 1)
a6 = 31 + 3(5)
a6 = 46