| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.18 |
| Score | 0% | 64% |
What is -4x2 + x2?
| -5x2 | |
| -5x-2 | |
| -3x4 | |
| -3x2 |
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:
-4x2 + 1x2
(-4 + 1)x2
-3x2
Which of the following statements about exponents is false?
b1 = b |
|
b1 = 1 |
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b0 = 1 |
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all of these are false |
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).
Convert z-4 to remove the negative exponent.
| \( \frac{4}{z} \) | |
| \( \frac{-4}{-z} \) | |
| \( \frac{-1}{z^{-4}} \) | |
| \( \frac{1}{z^4} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
The __________ is the smallest positive integer that is a multiple of two or more integers.
least common factor |
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greatest common factor |
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absolute value |
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least common multiple |
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
What is the distance in miles of a trip that takes 8 hours at an average speed of 40 miles per hour?
| 270 miles | |
| 40 miles | |
| 45 miles | |
| 320 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 = \( 40mph \times 8h \)
320 miles