| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.11 |
| Score | 0% | 62% |
What is -4a5 + 7a5?
| 11a5 | |
| 11a-5 | |
| 3a10 | |
| 3a5 |
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:
-4a5 + 7a5
(-4 + 7)a5
3a5
Solve 5 + (2 + 4) ÷ 5 x 3 - 42
| 2\(\frac{1}{2}\) | |
| -7\(\frac{2}{5}\) | |
| 1 | |
| \(\frac{1}{2}\) |
Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):
5 + (2 + 4) ÷ 5 x 3 - 42
P: 5 + (6) ÷ 5 x 3 - 42
E: 5 + 6 ÷ 5 x 3 - 16
MD: 5 + \( \frac{6}{5} \) x 3 - 16
MD: 5 + \( \frac{18}{5} \) - 16
AS: \( \frac{25}{5} \) + \( \frac{18}{5} \) - 16
AS: \( \frac{43}{5} \) - 16
AS: \( \frac{43 - 80}{5} \)
\( \frac{-37}{5} \)
-7\(\frac{2}{5}\)
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 15% off." If Damon buys two shirts, each with a regular price of $38, how much will he pay for both shirts?
| $43.70 | |
| $70.30 | |
| $41.80 | |
| $32.30 |
By buying two shirts, Damon will save $38 x \( \frac{15}{100} \) = \( \frac{$38 x 15}{100} \) = \( \frac{$570}{100} \) = $5.70 on the second shirt.
So, his total cost will be
$38.00 + ($38.00 - $5.70)
$38.00 + $32.30
$70.30
If a car travels 120 miles in 3 hours, what is the average speed?
| 40 mph | |
| 45 mph | |
| 20 mph | |
| 30 mph |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)How many 2\(\frac{1}{2}\) gallon cans worth of fuel would you need to pour into an empty 25 gallon tank to fill it exactly halfway?
| 5 | |
| 10 | |
| 8 | |
| 4 |
To fill a 25 gallon tank exactly halfway you'll need 12\(\frac{1}{2}\) gallons of fuel. Each fuel can holds 2\(\frac{1}{2}\) gallons so:
cans = \( \frac{12\frac{1}{2} \text{ gallons}}{2\frac{1}{2} \text{ gallons}} \) = 5