Solve each equation or inequality.

$$|7 x-5| \geq-5$$

Determine the inverse of the fumction. $g(x)=(x+5)^2$ for $x \geq-5$

Simplify.

$$\left(16^{-3 / 5}\right)^{5 / 4}$$

Solve each equation for $x$.

$$5(b-x)=2 b+a x \quad(a \neq-5)$$

Consider

$$v=\left[\begin{array}{r}-3 \\ 1 \\ 2\end{array}\right]$$

. Determine all numbers $k$ so that $\|k v\|=7.$

Evaluate the following product.

20 $\cdot$ 5 $\cdot$ (- 5)

Find the product.

$$(2 q+5 r)(2 q-5 r)$$

Multiply.

$$\sqrt[5]{8 y^3} \sqrt[5]{10 y}$$

Simplify:

$$\frac{3-\sqrt{5}}{\sqrt{5}+2}$$

*Solve the given equation or inequality for $x$. *

$$|3 x-5|+4=5$$

Find all the $2 \times 2$ matrices that commute with the given matrix.

$$\left[\begin{array}{ll} {1} & {k} \\ {k} & {1} \end{array}\right], \text { where } k \in \mathbb{R}, k \neq 0$$

Find the quotient.

$$5 \div 6 \frac{2}{5}$$

Solve each equation.

$5|6-5 x|=15 x-35$

Solve: $\frac{2}{5} a=6 \frac{2}{5}$