| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.05 |
| Score | 0% | 61% |
If \( \left|b - 2\right| \) - 1 = -8, which of these is a possible value for b?
| 11 | |
| 9 | |
| -11 | |
| 4 |
First, solve for \( \left|b - 2\right| \):
\( \left|b - 2\right| \) - 1 = -8
\( \left|b - 2\right| \) = -8 + 1
\( \left|b - 2\right| \) = -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.
The __________ is the greatest factor that divides two integers.
greatest common multiple |
|
least common multiple |
|
absolute value |
|
greatest common factor |
The greatest common factor (GCF) is the greatest factor that divides two integers.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 30% off." If Damon buys two shirts, each with a regular price of $16, how much will he pay for both shirts?
| $22.40 | |
| $27.20 | |
| $11.20 | |
| $4.80 |
By buying two shirts, Damon will save $16 x \( \frac{30}{100} \) = \( \frac{$16 x 30}{100} \) = \( \frac{$480}{100} \) = $4.80 on the second shirt.
So, his total cost will be
$16.00 + ($16.00 - $4.80)
$16.00 + $11.20
$27.20
What is \( 7 \)\( \sqrt{175} \) - \( 4 \)\( \sqrt{7} \)
| 3\( \sqrt{7} \) | |
| 3\( \sqrt{25} \) | |
| 28\( \sqrt{175} \) | |
| 31\( \sqrt{7} \) |
To subtract these radicals together their radicands must be the same:
7\( \sqrt{175} \) - 4\( \sqrt{7} \)
7\( \sqrt{25 \times 7} \) - 4\( \sqrt{7} \)
7\( \sqrt{5^2 \times 7} \) - 4\( \sqrt{7} \)
(7)(5)\( \sqrt{7} \) - 4\( \sqrt{7} \)
35\( \sqrt{7} \) - 4\( \sqrt{7} \)
Now that the radicands are identical, you can subtract them:
35\( \sqrt{7} \) - 4\( \sqrt{7} \)What is (z4)4?
| z16 | |
| z8 | |
| z0 | |
| 4z4 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(z4)4