| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.54 |
| Score | 0% | 71% |
What is -9c3 x 5c7?
| -45c10 | |
| -45c4 | |
| -45c-4 | |
| -4c7 |
To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:
-9c3 x 5c7
(-9 x 5)c(3 + 7)
-45c10
A triathlon course includes a 100m swim, a 40.2km bike ride, and a 5.6km run. What is the total length of the race course?
| 65km | |
| 27.9km | |
| 41.1km | |
| 45.9km |
To add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 100 meters to kilometers, divide the distance by 1000 to get 0.1km then add the remaining distances:
total distance = swim + bike + run
total distance = 0.1km + 40.2km + 5.6km
total distance = 45.9km
16 members of a bridal party need transported to a wedding reception but there are only 3 4-passenger taxis available to take them. How many will need to find other transportation?
| 3 | |
| 7 | |
| 6 | |
| 4 |
There are 3 4-passenger taxis available so that's 3 x 4 = 12 total seats. There are 16 people needing transportation leaving 16 - 12 = 4 who will have to find other transportation.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 30% off." If Ezra buys two shirts, each with a regular price of $26, how much money will he save?
| $7.80 | |
| $3.90 | |
| $13.00 | |
| $9.10 |
By buying two shirts, Ezra will save $26 x \( \frac{30}{100} \) = \( \frac{$26 x 30}{100} \) = \( \frac{$780}{100} \) = $7.80 on the second shirt.
What is -7x3 + 6x3?
| -x3 | |
| -x-6 | |
| 13x3 | |
| -x6 |
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:
-7x3 + 6x3
(-7 + 6)x3
-x3