### Practice Test

Plot each point in a rectangular coordinate system.

ⓐ $\left(2,5\right)$

ⓑ $\left(\mathrm{-1},\mathrm{-3}\right)$

ⓒ $\left(0,2\right)$

ⓓ $\left(\mathrm{-4},\frac{3}{2}\right)$

ⓔ $\left(5,0\right)$

Which of the given ordered pairs are solutions to the equation $3x-y=6?$

ⓐ $\left(3,3\right)$ ⓑ $\left(2,0\right)$ ⓒ $\left(4,\mathrm{-6}\right)$

Find the slope of each line shown.

Find the slope of the line between the points $\left(5,2\right)$ and $\left(\mathrm{-1},\mathrm{-4}\right).$

Graph the line with slope $\frac{1}{2}$ containing the point $\left(\mathrm{-3},\mathrm{-4}\right).$

Find the intercepts of $4x+2y=\mathrm{-8}$ and graph.

**Graph the line for each of the following equations.**

$y=\text{\u2212}x$

Find the equation of each line. Write the equation in slope-intercept form.

slope $-\frac{3}{4}$ and $y$-intercept $\left(0,\mathrm{-2}\right)$

containing $\left(10,1\right)$ and $\left(6,\mathrm{-1}\right)$

perpendicular to the line $y=\frac{5}{4}x+2,$ containing the point $\left(\mathrm{-10},3\right)$

Write the inequality shown by the graph with the boundary line $y=\text{\u2212}x-3.$

Graph each linear inequality.

$x-y\ge \mathrm{-4}$

Hiro works two part time jobs in order to earn enough money to meet her obligations of at least $450 a week. Her job at the mall pays $10 an hour and her administrative assistant job on campus pays $15 an hour. How many hours does Hiro need to work at each job to earn at least $450?

ⓐ Let *x* be the number of hours she works at the mall and let *y* be the number of hours she works as administrative assistant. Write an inequality that would model this situation.

ⓑ Graph the inequality .

ⓒ Find three ordered pairs$(x,y)$ that would be solutions to the inequality. Then explain what that means for Hiro.

Use the set of ordered pairs to ⓐ determine whether the relation is a function, ⓑ find the domain of the relation, and ⓒ find the range of the relation.

$\{\left(\mathrm{-3},27\right),\left(\mathrm{-2},8\right),\left(\mathrm{-1},1\right),\left(0,0\right),$

$\left(1,1\right),\left(2,8\right),\left(3,27\right)\}$

Evaluate the function: ⓐ $f(\mathrm{-1})$ ⓑ $f(2)$ ⓒ $f(c).$

$f(x)=4{x}^{2}-2x-3$

Determine whether the graph is the graph of a function. Explain your answer.

In the following exercises, ⓐ graph each function ⓑ state its domain and range.

Write the domain and range in interval notation.

$f\left(x\right)=\sqrt{x+1}$

ⓐ Find the $x$-intercepts.

ⓑ Find the $y$-intercepts.

ⓒ Find $f\left(\mathrm{-1}\right).$

ⓓ Find $f\left(1\right).$

ⓔ Find the domain. Write it in interval notation.

ⓕ Find the range. Write it in interval notation.