| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.33 |
| Score | 0% | 67% |
What is 3a3 - 6a3?
| 9a9 | |
| 9a3 | |
| 3a-3 | |
| -3a3 |
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:
3a3 - 6a3
(3 - 6)a3
-3a3
Convert 7,638,000 to scientific notation.
| 7.638 x 10-6 | |
| 7.638 x 106 | |
| 0.764 x 107 | |
| 7.638 x 10-5 |
A number in scientific notation has the format 0.000 x 10exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:
7,638,000 in scientific notation is 7.638 x 106
If \(\left|a\right| = 7\), which of the following best describes a?
none of these is correct |
|
a = 7 or a = -7 |
|
a = 7 |
|
a = -7 |
The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).
A bread recipe calls for 2 cups of flour. If you only have \(\frac{7}{8}\) cup, how much more flour is needed?
| 1\(\frac{1}{8}\) cups | |
| 2\(\frac{3}{4}\) cups | |
| 2\(\frac{1}{8}\) cups | |
| 2\(\frac{5}{8}\) cups |
The amount of flour you need is (2 - \(\frac{7}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:
(\( \frac{16}{8} \) - \( \frac{7}{8} \)) cups
\( \frac{9}{8} \) cups
1\(\frac{1}{8}\) cups
Which of these numbers is a factor of 28?
| 10 | |
| 28 | |
| 9 | |
| 13 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 28 are 1, 2, 4, 7, 14, 28.