| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.04 |
| Score | 0% | 61% |
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 40% off." If Roger buys two shirts, each with a regular price of $18, how much will he pay for both shirts?
| $28.80 | |
| $26.10 | |
| $10.80 | |
| $7.20 |
By buying two shirts, Roger will save $18 x \( \frac{40}{100} \) = \( \frac{$18 x 40}{100} \) = \( \frac{$720}{100} \) = $7.20 on the second shirt.
So, his total cost will be
$18.00 + ($18.00 - $7.20)
$18.00 + $10.80
$28.80
16 members of a bridal party need transported to a wedding reception but there are only 3 5-passenger taxis available to take them. How many will need to find other transportation?
| 2 | |
| 6 | |
| 1 | |
| 3 |
There are 3 5-passenger taxis available so that's 3 x 5 = 15 total seats. There are 16 people needing transportation leaving 16 - 15 = 1 who will have to find other transportation.
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
commutative |
|
associative |
|
distributive |
|
PEDMAS |
The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.
What is -7x7 + 9x7?
| 2x-14 | |
| -16x-7 | |
| 2x7 | |
| 16x7 |
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:
-7x7 + 9x7
(-7 + 9)x7
2x7
If a rectangle is twice as long as it is wide and has a perimeter of 48 meters, what is the area of the rectangle?
| 72 m2 | |
| 50 m2 | |
| 128 m2 | |
| 162 m2 |
The area of a rectangle is width (w) x height (h). In this problem we know that the rectangle is twice as long as it is wide so h = 2w. The perimeter of a rectangle is 2w + 2h and we know that the perimeter of this rectangle is 48 meters so the equation becomes: 2w + 2h = 48.
Putting these two equations together and solving for width (w):
2w + 2h = 48
w + h = \( \frac{48}{2} \)
w + h = 24
w = 24 - h
From the question we know that h = 2w so substituting 2w for h gives us:
w = 24 - 2w
3w = 24
w = \( \frac{24}{3} \)
w = 8
Since h = 2w that makes h = (2 x 8) = 16 and the area = h x w = 8 x 16 = 128 m2