Solve the equation.

$$\sqrt { x + 6 } - \sqrt { 2 x - 4 } = 0$$

Make an order-of-magnitude estimate of the quantity. -The width of the smallest object that can be located using sound in the range of human hearing.

Write the expression by using rational exponents.

$$( \sqrt [ 3 ] { - 1000 } ) ^ { 2 }$$

Identify the zeros and asymptotes of

$$f ( x ) = \frac { 3 x + 3 } { x + 2 }.$$

Then graph.

Using the graph of

$$f ( x ) = \sqrt { x }$$

as a guide, describe the transformation and graph the function.

$$h ( x ) = 3 \sqrt { x }$$

For a fixed voltage, the current I flowing in a wire varies inversely as the resistance R of the wire. If the current is 8 amperes when the resistance is 15 ohms, what will the resistance be when the current is 5 amperes?

Add or subtract. Identify any x-values for which the expression is undefined.

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

Identify the zeros and vertical asymptotes of the function. Then graph.

$$f ( x ) = \frac { x ^ { 2 } - 5 x } { x - 2 }$$

Given: y varies inversely as x. Write and graph the inverse variation function. y = 2 when x = 7

Which equation best describes the relationship between $x$ and $y$ shown in the table?

(A) $y=-3 x+2$

(B) $y=-2 x+1$

(C) $y-2 x-3$

(D) $y=3 x-4$

Solve the equation.

$$\frac { x } { x - 3 } + \frac { x } { 2 } = \frac { 6 x } { 2 x - 6 }$$

Add or subtract. Identify any x-values for which the expression is undefined.

$$\frac { 3 x - 4 } { x ^ { 2 } - 9 } + \frac { 2 x - 1 } { x + 3 }$$

Multiply. Assume that all expressions are defined.

$$\frac { x - 2 } { x - 3 } \cdot \frac { 2 x - 6 } { x + 5 }$$

Write an expression by using rational exponents for the square root of the square root of the square root of 20.