| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.43 |
| Score | 0% | 69% |
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 15% off." If Frank buys two shirts, each with a regular price of $23, how much money will he save?
| $3.45 | |
| $5.75 | |
| $10.35 | |
| $4.60 |
By buying two shirts, Frank will save $23 x \( \frac{15}{100} \) = \( \frac{$23 x 15}{100} \) = \( \frac{$345}{100} \) = $3.45 on the second shirt.
What is \( \frac{-3b^9}{6b^4} \)?
| -2b5 | |
| -\(\frac{1}{2}\)b-5 | |
| -\(\frac{1}{2}\)b36 | |
| -\(\frac{1}{2}\)b5 |
To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:
\( \frac{-3b^9}{6b^4} \)
\( \frac{-3}{6} \) b(9 - 4)
-\(\frac{1}{2}\)b5
What is the next number in this sequence: 1, 5, 9, 13, 17, __________ ?
| 26 | |
| 14 | |
| 28 | |
| 21 |
The equation for this sequence is:
an = an-1 + 4
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 4
a6 = 17 + 4
a6 = 21
If a mayor is elected with 55% of the votes cast and 44% of a town's 38,000 voters cast a vote, how many votes did the mayor receive?
| 9,196 | |
| 13,710 | |
| 10,366 | |
| 14,881 |
If 44% of the town's 38,000 voters cast ballots the number of votes cast is:
(\( \frac{44}{100} \)) x 38,000 = \( \frac{1,672,000}{100} \) = 16,720
The mayor got 55% of the votes cast which is:
(\( \frac{55}{100} \)) x 16,720 = \( \frac{919,600}{100} \) = 9,196 votes.
What is -6z5 - 2z5?
| 8z5 | |
| -8z-5 | |
| -4z5 | |
| -8z5 |
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:
-6z5 - 2z5
(-6 - 2)z5
-8z5