| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.37 |
| Score | 0% | 67% |
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 35% off." If Bob buys two shirts, each with a regular price of $15, how much money will he save?
| $0.75 | |
| $5.25 | |
| $4.50 | |
| $6.00 |
By buying two shirts, Bob will save $15 x \( \frac{35}{100} \) = \( \frac{$15 x 35}{100} \) = \( \frac{$525}{100} \) = $5.25 on the second shirt.
The __________ is the greatest factor that divides two integers.
least common multiple |
|
absolute value |
|
greatest common factor |
|
greatest common multiple |
The greatest common factor (GCF) is the greatest factor that divides two integers.
What is \( \frac{2a^8}{3a^3} \)?
| 1\(\frac{1}{2}\)a5 | |
| 1\(\frac{1}{2}\)a11 | |
| \(\frac{2}{3}\)a5 | |
| 1\(\frac{1}{2}\)a-5 |
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:
\( \frac{2a^8}{3a^3} \)
\( \frac{2}{3} \) a(8 - 3)
\(\frac{2}{3}\)a5
Ezra loaned Diane $500 at an annual interest rate of 8%. If no payments are made, what is the total amount owed at the end of the first year?
| $505 | |
| $525 | |
| $540 | |
| $515 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $500
i = 0.08 x $500
No payments were made so the total amount due is the original amount + the accumulated interest:
total = $500 + $40What is the next number in this sequence: 1, 5, 13, 25, 41, __________ ?
| 68 | |
| 52 | |
| 63 | |
| 61 |
The equation for this sequence is:
an = an-1 + 4(n - 1)
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(6 - 1)
a6 = 41 + 4(5)
a6 = 61