| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.82 |
| Score | 0% | 56% |
What is \( \frac{4\sqrt{14}}{2\sqrt{7}} \)?
| \(\frac{1}{2}\) \( \sqrt{2} \) | |
| 2 \( \sqrt{\frac{1}{2}} \) | |
| \(\frac{1}{2}\) \( \sqrt{\frac{1}{2}} \) | |
| 2 \( \sqrt{2} \) |
To divide terms with radicals, divide the coefficients and radicands separately:
\( \frac{4\sqrt{14}}{2\sqrt{7}} \)
\( \frac{4}{2} \) \( \sqrt{\frac{14}{7}} \)
2 \( \sqrt{2} \)
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 45% off." If Damon buys two shirts, each with a regular price of $47, how much will he pay for both shirts?
| $65.80 | |
| $25.85 | |
| $72.85 | |
| $21.15 |
By buying two shirts, Damon will save $47 x \( \frac{45}{100} \) = \( \frac{$47 x 45}{100} \) = \( \frac{$2115}{100} \) = $21.15 on the second shirt.
So, his total cost will be
$47.00 + ($47.00 - $21.15)
$47.00 + $25.85
$72.85
What is \( \frac{-3z^5}{5z^2} \)?
| -\(\frac{3}{5}\)z\(\frac{2}{5}\) | |
| -1\(\frac{2}{3}\)z3 | |
| -\(\frac{3}{5}\)z7 | |
| -\(\frac{3}{5}\)z3 |
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:
\( \frac{-3z^5}{5z^2} \)
\( \frac{-3}{5} \) z(5 - 2)
-\(\frac{3}{5}\)z3
How many 1\(\frac{1}{2}\) gallon cans worth of fuel would you need to pour into an empty 15 gallon tank to fill it exactly halfway?
| 5 | |
| 2 | |
| 10 | |
| 3 |
To fill a 15 gallon tank exactly halfway you'll need 7\(\frac{1}{2}\) gallons of fuel. Each fuel can holds 1\(\frac{1}{2}\) gallons so:
cans = \( \frac{7\frac{1}{2} \text{ gallons}}{1\frac{1}{2} \text{ gallons}} \) = 5
Which of the following statements about exponents is false?
all of these are false |
|
b1 = 1 |
|
b0 = 1 |
|
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).