| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.29 |
| Score | 0% | 66% |
Which of these numbers is a factor of 28?
| 10 | |
| 28 | |
| 25 | |
| 19 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 28 are 1, 2, 4, 7, 14, 28.
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).
In a class of 22 students, 12 are taking German and 6 are taking Spanish. Of the students studying German or Spanish, 4 are taking both courses. How many students are not enrolled in either course?
| 8 | |
| 15 | |
| 16 | |
| 13 |
The number of students taking German or Spanish is 12 + 6 = 18. Of that group of 18, 4 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 18 - 4 = 14 who are taking at least one language. 22 - 14 = 8 students who are not taking either language.
Simplify \( \sqrt{18} \)
| 3\( \sqrt{4} \) | |
| 6\( \sqrt{4} \) | |
| 7\( \sqrt{4} \) | |
| 3\( \sqrt{2} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{18} \)
\( \sqrt{9 \times 2} \)
\( \sqrt{3^2 \times 2} \)
3\( \sqrt{2} \)
What is the next number in this sequence: 1, 3, 5, 7, 9, __________ ?
| 11 | |
| 6 | |
| 4 | |
| 20 |
The equation for this sequence is:
an = an-1 + 2
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 + 2
a6 = 9 + 2
a6 = 11