Question

Which factor can you cancel from the numerator and denominator to simplify 7 times x minus 21 all over 18 minus 6 times x.? [Hint: (a−x) = − (x − a)]

Answer 1

These are the multiple choice answers
6 over 7.
x − 3
7 over 6.
x + 3

Answer 2

\[\frac{7x - 21}{18 - 6x} = \frac{7(x - 3)}{6(3 - x)} =\frac{7(x-3)}{-6(x - 3)} \]

Answer 3

how did you get -6(x-3)

Answer 4

6(3 - x) = -6(x - 3)

Remember the Hint you were given above?

Answer 5

What expression cancels?

Answer 6

would the answer be 7 overs -6

Answer 7

Which expression cancels? Do you see a factor of one that cancels?

Answer 8

Do you know what it means to cancel a factor of one?