| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.30 |
| Score | 0% | 66% |
What is the next number in this sequence: 1, 4, 10, 19, 31, __________ ?
| 42 | |
| 44 | |
| 53 | |
| 46 |
The equation for this sequence is:
an = an-1 + 3(n - 1)
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 + 3(6 - 1)
a6 = 31 + 3(5)
a6 = 46
A factor is a positive __________ that divides evenly into a given number.
fraction |
|
mixed number |
|
improper fraction |
|
integer |
A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.
What is the greatest common factor of 64 and 24?
| 8 | |
| 12 | |
| 5 | |
| 23 |
The factors of 64 are [1, 2, 4, 8, 16, 32, 64] and the factors of 24 are [1, 2, 3, 4, 6, 8, 12, 24]. They share 4 factors [1, 2, 4, 8] making 8 the greatest factor 64 and 24 have in common.
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).
This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
distributive |
|
PEDMAS |
|
commutative |
|
associative |
The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.