| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.72 |
| Score | 0% | 54% |
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 20% off." If Damon buys two shirts, each with a regular price of $16, how much will he pay for both shirts?
| $20.00 | |
| $3.20 | |
| $17.60 | |
| $28.80 |
By buying two shirts, Damon will save $16 x \( \frac{20}{100} \) = \( \frac{$16 x 20}{100} \) = \( \frac{$320}{100} \) = $3.20 on the second shirt.
So, his total cost will be
$16.00 + ($16.00 - $3.20)
$16.00 + $12.80
$28.80
What is -3b3 - 3b3?
| 3 | |
| 6b-3 | |
| -6b3 | |
| -6b-3 |
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:
-3b3 - 3b3
(-3 - 3)b3
-6b3
The __________ is the smallest positive integer that is a multiple of two or more integers.
least common multiple |
|
least common factor |
|
greatest common factor |
|
absolute value |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
What is \( 2 \)\( \sqrt{18} \) + \( 6 \)\( \sqrt{2} \)
| 8\( \sqrt{2} \) | |
| 12\( \sqrt{2} \) | |
| 12\( \sqrt{18} \) | |
| 8\( \sqrt{9} \) |
To add these radicals together their radicands must be the same:
2\( \sqrt{18} \) + 6\( \sqrt{2} \)
2\( \sqrt{9 \times 2} \) + 6\( \sqrt{2} \)
2\( \sqrt{3^2 \times 2} \) + 6\( \sqrt{2} \)
(2)(3)\( \sqrt{2} \) + 6\( \sqrt{2} \)
6\( \sqrt{2} \) + 6\( \sqrt{2} \)
Now that the radicands are identical, you can add them together:
6\( \sqrt{2} \) + 6\( \sqrt{2} \)A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 5 to 2 and the ratio of baseball to basketball cards is 5 to 1, what is the ratio of football to basketball cards?
| 1:1 | |
| 1:2 | |
| 9:4 | |
| 25:2 |
The ratio of football cards to baseball cards is 5:2 and the ratio of baseball cards to basketball cards is 5:1. To solve this problem, we need the baseball card side of each ratio to be equal so we need to rewrite the ratios in terms of a common number of baseball cards. (Think of this like finding the common denominator when adding fractions.) The ratio of football to baseball cards can also be written as 25:10 and the ratio of baseball cards to basketball cards as 10:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 25:10, 10:2 which reduces to 25:2.