| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.38 |
| Score | 0% | 68% |
If \( \left|b - 2\right| \) + 5 = -2, which of these is a possible value for b?
| 16 | |
| -19 | |
| -5 | |
| 7 |
First, solve for \( \left|b - 2\right| \):
\( \left|b - 2\right| \) + 5 = -2
\( \left|b - 2\right| \) = -2 - 5
\( \left|b - 2\right| \) = -7
The value inside the absolute value brackets can be either positive or negative so (b - 2) must equal - 7 or --7 for \( \left|b - 2\right| \) to equal -7:
| b - 2 = -7 b = -7 + 2 b = -5 | b - 2 = 7 b = 7 + 2 b = 9 |
So, b = 9 or b = -5.
Betty scored 86% on her final exam. If each question was worth 4 points and there were 280 possible points on the exam, how many questions did Betty answer correctly?
| 73 | |
| 59 | |
| 60 | |
| 55 |
Betty scored 86% on the test meaning she earned 86% of the possible points on the test. There were 280 possible points on the test so she earned 280 x 0.86 = 240 points. Each question is worth 4 points so she got \( \frac{240}{4} \) = 60 questions right.
What is -2a6 + 3a6?
| a6 | |
| 5a-6 | |
| -5a-6 | |
| -5a6 |
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:
-2a6 + 3a6
(-2 + 3)a6
a6
Ezra loaned Ezra $1,200 at an annual interest rate of 1%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $42 | |
| $48 | |
| $27 | |
| $12 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $1,200
i = 0.01 x $1,200
i = $12
A factor is a positive __________ that divides evenly into a given number.
fraction |
|
mixed number |
|
improper fraction |
|
integer |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.