Practice Test

537.

Plot each point in a rectangular coordinate system.

ⓐ $(2, 5)$
ⓑ $(−1, −3)$
ⓒ $(0, 2)$
ⓓ $(−4, \frac{3}{2})$
ⓔ $(5, 0)$

538.

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

ⓐ $(3, 3)$ ⓑ $(2, 0)$ ⓒ $(4, −6)$

Find the slope of each line shown.

539.

ⓐ

The figure has a straight line graphed on the x y-coordinate plane. The x-axis runs from negative 10 to 10. The y-axis runs from negative 10 to 10. The line goes through the points (negative 5, 2) (0, negative 1), and (5, negative 4).

ⓑ

The figure has a straight vertical line graphed on the x y-coordinate plane. The x-axis runs from negative 10 to 10. The y-axis runs from negative 10 to 10. The line goes through the points (2, 0) (2, negative 1), and (2, 1).

540.

Find the slope of the line between the points $(5, 2)$ and $(−1, −4) .$

541.

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

542.

Find the intercepts of $4 x + 2 y = −8$ and graph.

Graph the line for each of the following equations.

543.

$y = \frac{5}{3} x - 1$

544.

$y = − x$

545.

$y = 2$

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

546.

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

547.

$m = 2,$ point $(−3, −1)$

548.

containing $(10, 1)$ and $(6, −1)$

549.

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

550.

Write the inequality shown by the graph with the boundary line $y = − x - 3 .$

Graph each linear inequality.

551.

$y > \frac{3}{2} x + 5$

552.

$x - y \geq −4$

553.

$y \leq −5 x$

554.

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.

555.

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.

${(−3, 27), (−2, 8), (−1, 1), (0, 0),$
$(1, 1), (2, 8), (3, 27)}$

556.

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

557.

For $h (y) = 3 | y - 1 | - 3,$ evaluate $h (−4) .$

558.

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

The figure has a cube function graphed on the x y-coordinate plane. The x-axis runs from negative 6 to 6. The y-axis runs from negative 6 to 6. The curved line goes through the points (negative 1, 1), (0, 2), and (1, 3).

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

559.

$f (x) = x^{2} + 1$

560.

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

561.

The figure has a square function graphed on the x y-coordinate plane. The x-axis runs from negative 6 to 6. The y-axis runs from negative 6 to 6. The parabola goes through the points (negative 2, 0), (negative 1, negative 3), (0, negative 4), (1, negative 3), and (2, 0). The lowest point on the graph is (0, negative 4).

ⓐ Find the $x$ -intercepts.
ⓑ Find the $y$ -intercepts.
ⓒ Find $f (−1) .$
ⓓ Find $f (1) .$
ⓔ Find the domain. Write it in interval notation.
ⓕ Find the range. Write it in interval notation.