Exam II

Question 1

A rational expression is an expression of the form p/q, where
p and q are _____________ and q is not equal to ____________.

Answer 1

polynomials, 0

Question 2

y-3 / y-1 is undefined when ___________ = _________

Question 3

y-3 / y-1

The restricted value of the expression is y is not equal to __________.

Answer 3

1

Question 4

18 / -16x -18 What do you see?

Answer 4

With -16x the negative must be factored out
2 (9) / -2 (8x - 9)
Cancel the 2
9 / -(8x - 9)

Final answer - 9 / 8x - 9 Your fraction is negative

Question 5

What is the difference between the two expressions?

y^2 + 8y + 7 / y^2 + 3y + 2

Answer 5

First one easier to factor

Second one I need to add an extra step because it has a number in front of variable

Question 6

10/y-2 - 5 = 2/y-2 What is the common denominator

Answer 6

y - 2

Question 7

-1 / x+9 - 4 = -1 / x+9 What do you see

Answer 7

Move -1 / x+9 to other side and it cancels out.

My answer is 4 = 0 which is NO SOLUTION

Question 8

2/x-2 +7/x-6 = -4/x-2 What is the least common denominator?

Answer 8

(x-2) (x-6)

(x-2)(x-6) (2) / x-2 + (x-2)(x-6) (7) / x-6 = (x-2)(x-6) (-4) / x-2

Question 9

(-39+11w) / (w^2-3w-18) - 2 / (w+3) = 3 / (w-6) Work this one

Answer 9

Answer is No solution

Question 9

(-39+11w) / (w^2-3w-18) - 2 / (w+3) = 3 / (w-6) Work this one

Answer 9

Answer is No solution

Question 10

(-39+11w) / (w^2-3w-18) - 2 / (w+3) = 3 / (w-6) Work this one

Answer 10

Answer is No solution