| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.32 |
| Score | 0% | 66% |
What is -7y3 + 2y3?
| 9y3 | |
| -9y3 | |
| -5y3 | |
| 9y-3 |
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:
-7y3 + 2y3
(-7 + 2)y3
-5y3
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 40% off." If Alex buys two shirts, each with a regular price of $22, how much money will he save?
| $4.40 | |
| $8.80 | |
| $9.90 | |
| $5.50 |
By buying two shirts, Alex will save $22 x \( \frac{40}{100} \) = \( \frac{$22 x 40}{100} \) = \( \frac{$880}{100} \) = $8.80 on the second shirt.
A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 5 to 2 and the ratio of baseball to basketball cards is 5 to 1, what is the ratio of football to basketball cards?
| 9:8 | |
| 5:2 | |
| 25:2 | |
| 1:1 |
The ratio of football cards to baseball cards is 5:2 and the ratio of baseball cards to basketball cards is 5:1. To solve this problem, we need the baseball card side of each ratio to be equal so we need to rewrite the ratios in terms of a common number of baseball cards. (Think of this like finding the common denominator when adding fractions.) The ratio of football to baseball cards can also be written as 25:10 and the ratio of baseball cards to basketball cards as 10:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 25:10, 10:2 which reduces to 25:2.
13 members of a bridal party need transported to a wedding reception but there are only 4 3-passenger taxis available to take them. How many will need to find other transportation?
| 1 | |
| 3 | |
| 86 | |
| 6 |
There are 4 3-passenger taxis available so that's 4 x 3 = 12 total seats. There are 13 people needing transportation leaving 13 - 12 = 1 who will have to find other transportation.
The __________ is the greatest factor that divides two integers.
absolute value |
|
greatest common factor |
|
greatest common multiple |
|
least common multiple |
The greatest common factor (GCF) is the greatest factor that divides two integers.