Basic Mathematics
Fractions
If \(\displaystyle \frac{a}{b} = \frac{3}{14},\) what is \(\displaystyle \frac{b-a}{b+a}?\)
If \(\displaystyle \frac{x^2+8x-9}{x^2-8x-9} = \frac{x+9}{x-9},\) what is \(x?\)
If \( \frac{a-b}{a+b} = \frac{ 3} { 8 } \), then find the value of
\[ \frac{ 5a + 3b } { 5a - 3b }. \]
If \(\displaystyle \frac{\sqrt{7}+x}{\sqrt{7}-x} = 7,\) what is \(x?\)
If \(\displaystyle \frac{20+x}{20-x} = 4,\) what is \(x?\)