91Ó°ÊÓ

Write each formula using the "language" of variation. For example, the formula for the circumference of a circle, \(C=2 \pi r,\) can be written as "The circumference of a circle varies directly as the length of its radius." \(d=2 r,\) where \(d\) is the diameter of a circle with radius \(r\)

Solve each equation. $$p+\frac{15}{p}=-8$$

Add or subtract as indicated. $$\frac{6 y+12}{4 y+3}+\frac{2 y-6}{4 y+3}$$

Write each formula using the "language" of variation. For example, the formula for the circumference of a circle, \(C=2 \pi r,\) can be written as "The circumference of a circle varies directly as the length of its radius." \(S=4 \pi r^{2},\) where \(S\) is the surface area of a sphere with radius \(r\)

Use either method to simplify each complex fraction. \(\frac{\frac{3}{x}+\frac{3}{y}}{\frac{3}{x}-\frac{3}{y}}\)

Add or subtract as indicated. $$\frac{x^{2}}{x+5}-\frac{25}{x+5}$$

Which rational expressions are equivalent to \(-\frac{x}{y} ?\) A. \(\frac{-x}{-y}\) B. \(\frac{x}{-y}\) C. \(\frac{x}{y}\) D. \(-\frac{x}{-y}\) E. \(\frac{-x}{y}\) F. \(-\frac{-x}{-y}\)

Solve each equation. $$\frac{x}{4}-\frac{21}{4 x}=-1$$

Which rational expression can be simplified? A. \(\frac{x^{2}+2}{x^{2}}\) B. \(\frac{x^{2}+2}{2}\) C. \(\frac{x^{2}+y^{2}}{y^{2}}\) D. \(\frac{x^{2}-5 x}{x}\)

Use either method to simplify each complex fraction. \(\frac{\frac{4}{t}-\frac{4}{s}}{\frac{4}{t}+\frac{4}{s}}\)