| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.94 |
| Score | 0% | 59% |
What is a3 - 4a3?
| 5a3 | |
| 5a-6 | |
| -3a-3 | |
| -3a3 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:
1a3 - 4a3
(1 - 4)a3
-3a3
Which of the following statements about exponents is false?
b1 = b |
|
all of these are false |
|
b1 = 1 |
|
b0 = 1 |
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).
If the ratio of home fans to visiting fans in a crowd is 5:1 and all 49,000 seats in a stadium are filled, how many home fans are in attendance?
| 28,333 | |
| 40,833 | |
| 29,250 | |
| 25,833 |
A ratio of 5:1 means that there are 5 home fans for every one visiting fan. So, of every 6 fans, 5 are home fans and \( \frac{5}{6} \) of every fan in the stadium is a home fan:
49,000 fans x \( \frac{5}{6} \) = \( \frac{245000}{6} \) = 40,833 fans.
What is -3z6 + 8z6?
| -11z-6 | |
| 5z12 | |
| 5z6 | |
| 5z-12 |
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:
-3z6 + 8z6
(-3 + 8)z6
5z6
In a class of 33 students, 14 are taking German and 10 are taking Spanish. Of the students studying German or Spanish, 2 are taking both courses. How many students are not enrolled in either course?
| 33 | |
| 23 | |
| 24 | |
| 11 |
The number of students taking German or Spanish is 14 + 10 = 24. Of that group of 24, 2 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 24 - 2 = 22 who are taking at least one language. 33 - 22 = 11 students who are not taking either language.