| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.84 |
| Score | 0% | 57% |
Which of the following statements about exponents is false?
b1 = 1 |
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b0 = 1 |
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all of these are false |
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b1 = b |
A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).
What is -2z6 + 7z6?
| 5z6 | |
| 9z6 | |
| 5z36 | |
| -9z6 |
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:
-2z6 + 7z6
(-2 + 7)z6
5z6
What is \( 8 \)\( \sqrt{175} \) + \( 8 \)\( \sqrt{7} \)
| 64\( \sqrt{7} \) | |
| 48\( \sqrt{7} \) | |
| 16\( \sqrt{1225} \) | |
| 16\( \sqrt{175} \) |
To add these radicals together their radicands must be the same:
8\( \sqrt{175} \) + 8\( \sqrt{7} \)
8\( \sqrt{25 \times 7} \) + 8\( \sqrt{7} \)
8\( \sqrt{5^2 \times 7} \) + 8\( \sqrt{7} \)
(8)(5)\( \sqrt{7} \) + 8\( \sqrt{7} \)
40\( \sqrt{7} \) + 8\( \sqrt{7} \)
Now that the radicands are identical, you can add them together:
40\( \sqrt{7} \) + 8\( \sqrt{7} \)A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 20% off." If Alex buys two shirts, each with a regular price of $44, how much will he pay for both shirts?
| $50.60 | |
| $8.80 | |
| $79.20 | |
| $55.00 |
By buying two shirts, Alex will save $44 x \( \frac{20}{100} \) = \( \frac{$44 x 20}{100} \) = \( \frac{$880}{100} \) = $8.80 on the second shirt.
So, his total cost will be
$44.00 + ($44.00 - $8.80)
$44.00 + $35.20
$79.20
A factor is a positive __________ that divides evenly into a given number.
mixed number |
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improper fraction |
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fraction |
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integer |
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.