| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.59 |
| Score | 0% | 72% |
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.
Which of the following is not an integer?
1 |
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\({1 \over 2}\) |
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-1 |
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0 |
An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.
Convert x-4 to remove the negative exponent.
| \( \frac{-1}{-4x^{4}} \) | |
| \( \frac{1}{x^{-4}} \) | |
| \( \frac{-1}{x^{-4}} \) | |
| \( \frac{1}{x^4} \) |
To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.
A factor is a positive __________ that divides evenly into a given number.
mixed number |
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integer |
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improper fraction |
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fraction |
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 \( \frac{9x^6}{3x^3} \)?
| 3x3 | |
| 3x2 | |
| \(\frac{1}{3}\)x-3 | |
| \(\frac{1}{3}\)x9 |
To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:
\( \frac{9x^6}{3x^3} \)
\( \frac{9}{3} \) x(6 - 3)
3x3