| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.87 |
| Score | 0% | 77% |
What is the next number in this sequence: 1, 8, 15, 22, 29, __________ ?
| 34 | |
| 36 | |
| 40 | |
| 45 |
The equation for this sequence is:
an = an-1 + 7
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 + 7
a6 = 29 + 7
a6 = 36
The __________ is the greatest factor that divides two integers.
greatest common multiple |
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absolute value |
|
greatest common factor |
|
least common multiple |
The greatest common factor (GCF) is the greatest factor that divides two integers.
a(b + c) = ab + ac defines which of the following?
distributive property for multiplication |
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commutative property for division |
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distributive property for division |
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commutative property for multiplication |
The distributive property for multiplication helps in solving expressions like a(b + c). It specifies that the result of multiplying one number by the sum or difference of two numbers can be obtained by multiplying each number individually and then totaling the results: a(b + c) = ab + ac. For example, 4(10-5) = (4 x 10) - (4 x 5) = 40 - 20 = 20.
What is -3x2 - 8x2?
| -11x2 | |
| 5x4 | |
| -11x-2 | |
| 11x2 |
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:
-3x2 - 8x2
(-3 - 8)x2
-11x2
How many hours does it take a car to travel 120 miles at an average speed of 60 miles per hour?
| 7 hours | |
| 2 hours | |
| 6 hours | |
| 9 hours |
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 time:
time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{120mi}{60mph} \)
2 hours