Chapter 1

Evaluate. \(|-5|-|8|\).

Convert the degree measure into radian measure. $$450$$.

Solve the inequality and mark the solution set on a number line. $$7 x(x-4)^{2} < 0$$.

Find the slope and \(y\) -intercept. $$y=3$$

Solve the inequality. Express the solution as an interval or as the union of intervals. Mark the solution on a number line. $$\left|\frac{2}{x+4}\right|>2$$

Give the domain and range of the function. $$f(x)=2 x-3$$

Evaluate. \(|-5|+|-8|\).

Convert the degree measure into radian measure. $$15^{\circ}$$.

Solve the inequality and express the solution set as an interval or as the union of intervals. $$|x|<2$$.

Write an equation for the line with slope 5 and \(y\) -intercept 2

Solve the inequality. Express the solution as an interval or as the union of intervals. Mark the solution on a number line. $$\left|\frac{5}{x+1}\right|<1$$

Give the domain and range of the function. $$g(x)=\sqrt{x}+5$$

Evaluate. \(|2-\pi|\).

Convert the degree measure into radian measure. $$3^{\circ}$$.

Solve the inequality and express the solution set as an interval or as the union of intervals. $$|x| \geq 1$$.

Write an equation for the line with slope 5 and \(y\) -intercept -2

(a) Find the distance between the points \(P\). \(Q\). (b) Find the midpoint of the line segment \(\overrightarrow{P Q}\). $$P(2,-3) . Q(1,4)$$

Form the composition \(f \circ g\) and give the domain. $$f(x)=2 x+5, \quad g(x)=x^{2}$$

Give the domain and range of the function. $$f(x)=\frac{1}{x^{2}}$$

Evaluate. \(|5-\sqrt{5}|\).

Solve the inequality and express the solution set as an interval or as the union of intervals. $$|x| > 3$$.

Write an equation for the line with slope -5 and \(y\) -intercept 2

Form the composition \(f \circ g\) and give the domain. $$f(x)=x^{2}, \quad g(x)=2 x+5$$

Give the domain and range of the function. $$g(x)=\frac{4}{x}$$

Convert the radian measure into degree measure. $$5 \pi / 4$$.

Indicate on a number line the numbers \(x\) that satisfy the condition. \(x \geq 3\)

Solve the inequality and express the solution set as an interval or as the union of intervals. $$|x-1| < 1$$.

Write an equation for the line with Slope -5 and \(y\) -intercept -2

Form the composition \(f \circ g\) and give the domain. $$f(x)=\sqrt{x}, \quad g(x)=x^{2}+5$$

Find an equation for the line that passes through the point (2,-3) and is parallel to the \(y\) -axis.

Give the domain and range of the function. $$f(x)=\sqrt{1-x}$$

Convert the radian measure into degree measure. $$5 \pi / 3$$.

Indicate on a number line the numbers \(x\) that satisfy the condition. \(x \leq-\frac{3}{2}\).

Solve the inequality and express the solution set as an interval or as the union of intervals. $$|x-2| < \frac{1}{2}$$.

Write an equation for the horizontal line 3 units. above the \(x\) -axis.

Find an equation for the line that passes through the point (2,-3) and is parallel to the line \(y=1\)

Give the domain and range of the function. $$g(x)=\sqrt{x-3}$$

Indicate on a number line the numbers \(x\) that satisfy the condition. \(-2 \leq x \leq 3\).

Convert the radian measure into degree measure. $$-11 \pi / 6$$.

Solve the inequality and express the solution set as an interval or as the union of intervals. $$\left|x-\frac{1}{2}\right| < 2$$.

Write an equation for the horizontal line 3 units. below the \(x\) -axis.

Form the composition \(f \circ g\) and give the domain. $$f(x)=1 / x, \quad g(x)=(x-2) / x$$

Find an equation for the line that passes through the point (2,-3) and is perpendicular to the line \(2 x-3 y=6\)

Give the domain and range of the function. $$f(x)=\sqrt{7-x}-1$$

Convert the radian measure into degree measure. $$2$$.

Solve the inequality and express the solution set as an interval or as the union of intervals. $$0 < |x| < 1$$.

Write an equation for the vertical line 3 units to the left of the \(y\) -axis.

Form the composition \(f \circ g\) and give the domain. $$f(x)=1 /(x-1), \quad g(x)=x^{2}$$

Find an equation for the line that passes through the point (2,-3) and is parallel to the line \(3 x+4 y=12\)

Give the domain and range of the function. $$g(x)=\sqrt{x-1}-1$$