| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.83 |
| Score | 0% | 77% |
What is the next number in this sequence: 1, 6, 11, 16, 21, __________ ?
| 19 | |
| 20 | |
| 26 | |
| 25 |
The equation for this sequence is:
an = an-1 + 5
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 5
a6 = 21 + 5
a6 = 26
What is the distance in miles of a trip that takes 8 hours at an average speed of 25 miles per hour?
| 540 miles | |
| 200 miles | |
| 300 miles | |
| 40 miles |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for distance:
distance = \( \text{speed} \times \text{time} \)
distance = \( 25mph \times 8h \)
200 miles
If \(\left|a\right| = 7\), which of the following best describes a?
none of these is correct |
|
a = 7 |
|
a = -7 |
|
a = 7 or a = -7 |
The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).
In a class of 23 students, 14 are taking German and 6 are taking Spanish. Of the students studying German or Spanish, 3 are taking both courses. How many students are not enrolled in either course?
| 21 | |
| 6 | |
| 19 | |
| 11 |
The number of students taking German or Spanish is 14 + 6 = 20. Of that group of 20, 3 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 20 - 3 = 17 who are taking at least one language. 23 - 17 = 6 students who are not taking either language.
What is 2b2 x 5b5?
| 10b7 | |
| 7b7 | |
| 10b10 | |
| 7b2 |
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:
2b2 x 5b5
(2 x 5)b(2 + 5)
10b7