| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.12 |
| Score | 0% | 62% |
Which of these numbers is a factor of 40?
| 12 | |
| 10 | |
| 41 | |
| 19 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40.
What is -9a3 - 5a3?
| -14a3 | |
| -4a3 | |
| 14a3 | |
| -4a-6 |
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:
-9a3 - 5a3
(-9 - 5)a3
-14a3
The __________ is the smallest positive integer that is a multiple of two or more integers.
least common multiple |
|
absolute value |
|
greatest common factor |
|
least common factor |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
Betty scored 84% on her final exam. If each question was worth 3 points and there were 150 possible points on the exam, how many questions did Betty answer correctly?
| 52 | |
| 42 | |
| 50 | |
| 47 |
Betty scored 84% on the test meaning she earned 84% of the possible points on the test. There were 150 possible points on the test so she earned 150 x 0.84 = 126 points. Each question is worth 3 points so she got \( \frac{126}{3} \) = 42 questions right.
If \( \left|a + 9\right| \) - 4 = 6, which of these is a possible value for a?
| 7 | |
| -10 | |
| -2 | |
| -19 |
First, solve for \( \left|a + 9\right| \):
\( \left|a + 9\right| \) - 4 = 6
\( \left|a + 9\right| \) = 6 + 4
\( \left|a + 9\right| \) = 10
The value inside the absolute value brackets can be either positive or negative so (a + 9) must equal + 10 or -10 for \( \left|a + 9\right| \) to equal 10:
| a + 9 = 10 a = 10 - 9 a = 1 | a + 9 = -10 a = -10 - 9 a = -19 |
So, a = -19 or a = 1.