| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.22 |
| Score | 0% | 64% |
If \( \left|x + 0\right| \) - 3 = 8, which of these is a possible value for x?
| 0 | |
| 11 | |
| 17 | |
| 4 |
First, solve for \( \left|x + 0\right| \):
\( \left|x + 0\right| \) - 3 = 8
\( \left|x + 0\right| \) = 8 + 3
\( \left|x + 0\right| \) = 11
The value inside the absolute value brackets can be either positive or negative so (x + 0) must equal + 11 or -11 for \( \left|x + 0\right| \) to equal 11:
| x + 0 = 11 x = 11 + 0 x = 11 | x + 0 = -11 x = -11 + 0 x = -11 |
So, x = -11 or x = 11.
What is -7z6 + 4z6?
| -3z6 | |
| -3z36 | |
| 11z-6 | |
| 11z6 |
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:
-7z6 + 4z6
(-7 + 4)z6
-3z6
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 10% off." If Bob buys two shirts, each with a regular price of $42, how much will he pay for both shirts?
| $56.70 | |
| $4.20 | |
| $79.80 | |
| $63.00 |
By buying two shirts, Bob will save $42 x \( \frac{10}{100} \) = \( \frac{$42 x 10}{100} \) = \( \frac{$420}{100} \) = $4.20 on the second shirt.
So, his total cost will be
$42.00 + ($42.00 - $4.20)
$42.00 + $37.80
$79.80
A factor is a positive __________ that divides evenly into a given number.
improper fraction |
|
integer |
|
fraction |
|
mixed number |
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.
Jennifer scored 80% on her final exam. If each question was worth 3 points and there were 90 possible points on the exam, how many questions did Jennifer answer correctly?
| 29 | |
| 35 | |
| 24 | |
| 30 |
Jennifer scored 80% on the test meaning she earned 80% of the possible points on the test. There were 90 possible points on the test so she earned 90 x 0.8 = 72 points. Each question is worth 3 points so she got \( \frac{72}{3} \) = 24 questions right.