ACT Math solving equations

Question

If x is any number other than 4 and 5, then (4-x)(x-5)/(x-4)(x-5) = ?

Answer 1

If x is any number other than 4 and 5, then (4-x) times(x-5) dividen by (x-4) times(x-5) = ?

Step 1:

Simplify the equation:

(4-x) times(x-5) dividen by (x-4) times(x-5) = ?

Step 2:

Rewrite equation: (4-x) as -(x-4)

(4-x) times (x-5) = - (4-x) times (x-5)

(4-x) times (x-5) (4-x) times (x-5)

Step 3:

Cancel out the common factors (x-4) and (x-5) since x not equal to 4 and x not equal to 5

- (4-x) times (x-5)

(4-x) times (x-5)

- (4-x) times (x-5) = - 1

(4-x) times (x-5)

Solution:

The answer to the equation:

(4-x) times (x-5) is ( - 1 )

(4-x) times (x-5)

I hope the mathematical calculations (step by step approach) was helpful. Please let me know if you require any more assistance. If anyone in my neighborhood is interested in setting up an in-person math tutoring session. I look forward to hearing from them. Have an amazing day. Doris H.

Answer 2

Since we know that x is any number other than 4 or 5 (since that would make a denominator of 0), we can solve the problem by simplifying our expression:

(4 - x)(x - 5) 4 - x x - 5 - (x - 4)

--------------- = ------- * ------- = ----------- * 1 = -1 * 1 = -1

(x - 4)(x - 5) x - 4 x - 5 x - 4

Answer 3

Answer 4

Try a number for x. It says any other number than 4 or 5. x = 1.

(4-1)(1-5)/(1-4)(1-5) =

3*-4 / -3 * -4 =

-12 / 12 = -1

Is this an ACT Math question? What are the answer choices?

Answer 5

We know that -(x-4) = -x - (-4) = -x + 4 = (4-x), so we can substitute -(x-4) in for (4-x). Doing so gives us (-(x-4)(x-5))/((x-4)(x-5)). This is equal to -1 * (x-4)/(x-4) * (x-5)/(x-5) . Now if x does not equal 4, (x-4)/(x-4) is just 1, so we have -1 * (x-5)/(x-5). Similarly, if x does not equal 5, (x-5)/(x-5) is just 1, so we have -1 * 1 = -1. Thus, the answer is -1.