| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.38 |
| Score | 0% | 68% |
What is -4b4 + 6b4?
| 10b-4 | |
| 2b4 | |
| 2b8 | |
| 2b-8 |
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:
-4b4 + 6b4
(-4 + 6)b4
2b4
Simplify \( \frac{28}{76} \).
| \( \frac{7}{20} \) | |
| \( \frac{7}{19} \) | |
| \( \frac{7}{18} \) | |
| \( \frac{10}{13} \) |
To simplify this fraction, first find the greatest common factor between them. The factors of 28 are [1, 2, 4, 7, 14, 28] and the factors of 76 are [1, 2, 4, 19, 38, 76]. They share 3 factors [1, 2, 4] making 4 their greatest common factor (GCF).
Next, divide both numerator and denominator by the GCF:
\( \frac{28}{76} \) = \( \frac{\frac{28}{4}}{\frac{76}{4}} \) = \( \frac{7}{19} \)
| 0.8 | |
| 1 | |
| 1.0 | |
| 8.1 |
1
What is 4b2 - 3b2?
| b2 | |
| 7b-4 | |
| b-2 | |
| 7b2 |
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:
4b2 - 3b2
(4 - 3)b2
b2
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 50% off." If Alex buys two shirts, each with a regular price of $25, how much money will he save?
| $11.25 | |
| $6.25 | |
| $7.50 | |
| $12.50 |
By buying two shirts, Alex will save $25 x \( \frac{50}{100} \) = \( \frac{$25 x 50}{100} \) = \( \frac{$1250}{100} \) = $12.50 on the second shirt.