| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.58 |
| Score | 0% | 72% |
What is -6c5 - 4c5?
| -2c10 | |
| 10c-5 | |
| -2c25 | |
| -10c5 |
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:
-6c5 - 4c5
(-6 - 4)c5
-10c5
a(b + c) = ab + ac defines which of the following?
commutative property for multiplication |
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commutative property for division |
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distributive property for division |
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distributive 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 these numbers is a factor of 56?
| 27 | |
| 4 | |
| 13 | |
| 20 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56.
What is the greatest common factor of 40 and 44?
| 16 | |
| 38 | |
| 4 | |
| 27 |
The factors of 40 are [1, 2, 4, 5, 8, 10, 20, 40] and the factors of 44 are [1, 2, 4, 11, 22, 44]. They share 3 factors [1, 2, 4] making 4 the greatest factor 40 and 44 have in common.
The __________ is the greatest factor that divides two integers.
greatest common multiple |
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absolute value |
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greatest common factor |
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least common multiple |
The greatest common factor (GCF) is the greatest factor that divides two integers.