Below are several statements about the properties of rational expressions. Indic

Question

Below are several statements about the properties of rational expressions. Indicate whether they are true or false.




1.because you can "cancel the x''s 5x/x=5




2. because you can "cancel the x's 5+x/x=5





3. because the - 2 and the +2 cancel x^2+3x-2/5x+2= x^2+3x/5x





4.multiply across, and the x's cancel 8x/5 * 3/x = 24/5





5. go straight across, and the x's cancel 1/x+x/4=1/4





6.because you can add straight across 4x/7+3/x=4x+3/7+x




7. becasue you only add the numerators 4x/x+1 + 3/x = 4x+3/x+1





8.when graphed, both have the same asymptotes 1/x+3 +2 = 2x +7/x+3

Explanation / Answer

1.because you can "cancel the x''s 5x/x=5 TRUE 2. because you can "cancel the x's 5+x/x=5 FALSE 3. because the - 2 and the +2 cancel x^2+3x-2/5x+2= x^2+3x/5x FALSE 4.multiply across, and the x's cancel 8x/5 * 3/x = 24/5 TRUE 5. go straight across, and the x's cancel 1/x+x/4=1/4 FALSE 6.because you can add straight across 4x/7+3/x=4x+3/7+x FALSE 7. becasue you only add the numerators 4x/x+1 + 3/x = 4x+3/x+1 FALSE (note I was just wondering if you had a typo error... if that was a 3/x+1, then the answer is TRUE, if not, then it's FALSE 8.when graphed, both have the same asymptotes 1/x+3 +2 = 2x +7/x+3 TRUE, they have the same vertical asymptotes

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