| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.97 |
| Score | 0% | 59% |
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 \( 9 \)\( \sqrt{8} \) + \( 8 \)\( \sqrt{2} \)
| 17\( \sqrt{8} \) | |
| 72\( \sqrt{8} \) | |
| 26\( \sqrt{2} \) | |
| 72\( \sqrt{2} \) |
To add these radicals together their radicands must be the same:
9\( \sqrt{8} \) + 8\( \sqrt{2} \)
9\( \sqrt{4 \times 2} \) + 8\( \sqrt{2} \)
9\( \sqrt{2^2 \times 2} \) + 8\( \sqrt{2} \)
(9)(2)\( \sqrt{2} \) + 8\( \sqrt{2} \)
18\( \sqrt{2} \) + 8\( \sqrt{2} \)
Now that the radicands are identical, you can add them together:
18\( \sqrt{2} \) + 8\( \sqrt{2} \)What is -4z7 + 7z7?
| -11z7 | |
| 3z7 | |
| 3z14 | |
| 3z-14 |
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:
-4z7 + 7z7
(-4 + 7)z7
3z7
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 50% off." If Bob buys two shirts, each with a regular price of $22, how much will he pay for both shirts?
| $24.20 | |
| $11.00 | |
| $30.80 | |
| $33.00 |
By buying two shirts, Bob will save $22 x \( \frac{50}{100} \) = \( \frac{$22 x 50}{100} \) = \( \frac{$1100}{100} \) = $11.00 on the second shirt.
So, his total cost will be
$22.00 + ($22.00 - $11.00)
$22.00 + $11.00
$33.00
Which of the following is not an integer?
\({1 \over 2}\) |
|
1 |
|
-1 |
|
0 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.