| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.67 |
| Score | 0% | 73% |
What is 6z4 x 5z3?
| 30z12 | |
| 30z7 | |
| 30z4 | |
| 11z3 |
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:
6z4 x 5z3
(6 x 5)z(4 + 3)
30z7
What is the least common multiple of 5 and 9?
| 45 | |
| 35 | |
| 29 | |
| 18 |
The first few multiples of 5 are [5, 10, 15, 20, 25, 30, 35, 40, 45, 50] and the first few multiples of 9 are [9, 18, 27, 36, 45, 54, 63, 72, 81, 90]. The first few multiples they share are [45, 90] making 45 the smallest multiple 5 and 9 have in common.
What is \( \frac{63\sqrt{27}}{9\sqrt{9}} \)?
| \(\frac{1}{7}\) \( \sqrt{\frac{1}{3}} \) | |
| 3 \( \sqrt{7} \) | |
| 7 \( \sqrt{3} \) | |
| \(\frac{1}{3}\) \( \sqrt{7} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{63\sqrt{27}}{9\sqrt{9}} \)
\( \frac{63}{9} \) \( \sqrt{\frac{27}{9}} \)
7 \( \sqrt{3} \)
What is -9x3 - 9x3?
| -18x-3 | |
| 3 | |
| -18x3 | |
| 18x-3 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:
-9x3 - 9x3
(-9 - 9)x3
-18x3
Which of the following is not an integer?
1 |
|
-1 |
|
0 |
|
\({1 \over 2}\) |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.