0. Review of Algebra

Evaluate each expression for p=-4, q=8, and r=-10. 3q/r - 5/p

In Exercises 103–110, insert either <, >, or = in the shaded area to make a true statement. |−20| □ |−50|

Perform the indicated operations. Assume all variables represent positive real numbers. $3x\sqrt[3]{xy^2} - 2\sqrt[3]{8x^4y^2}$

Evaluate each expression for p=-4, q=8, and r=-10. 5r / 2p-3r

Simplify each expression. Write answers without negative exponents. Assume all variables represent positive real numbers. (z^1/3z^-2/3z^1/6)/(z^-1/6)³

Insert either <, >, or = in the shaded area to make a true statement. $\frac{30}{40} - \frac{3}{4} \ \square \ \frac{14}{15} \cdot \frac{15}{14}$

Simplify each exponential expression. Assume that variables represent nonzero real numbers. $\frac{(x^{-2} y)^{-3}}{(x^{2} y^{-1})^{3}}$

Evaluate each expression for $p=-4$, $q=8$, and $r=-10$. $\frac{\frac{q}{2}-\frac{r}{3}}{\frac{3p}{4}+\frac{q}{8}}$

Simplify by reducing the index of the radical. $\sqrt[9]{x^6{y}^3}$

Evaluate each expression for $p=-4$, $q=8$, and $r=-10$. $\frac{-(p + 2)^2 - 3r}{2 - q}$

Calculate each value mentally. (0.25³)(400³)