Exam 3: Graphs, Linear Equations, and Inequalities in Two Variables; Functions From Campus to Careers: Physical Therapis

Decide whether each ordered pair is a solution of the inequality. $3 x - 2 y \geq 5$ Answer yes or no . $( 1,1 )$ __________ $( 0,5 )$ __________ $( - 1 , - 4 )$ __________ $\left( 1 , \frac { 1 } { 4 } \right)$ __________

The graph below shows the value y (in thousands of dollars)of a car that is x years old. Is it true that the value of a car that is 3 years old is $6,000?

The charges for renting a CD are shown in the graph. Find the charge if the CD is kept for 7 days.

If the rise of the roof shown in the illustration is 5 feet, and the run is 9 feet, find the pitch of the roof.

Plot the points on a rectangular coordinate system, and determine if the points fall in a straight line. $( - 14 ) , ( - 4,1 ) , ( - 5,0 ) , ( - 6 , - 1 )$

Write each rate as a unit rate. $3,891,300$ people living in $10,500$ square

Let $f ( x ) = 5 x + 1$ and $g ( x ) = x - 6$ . Find the function $g + f$ .

Tickets to a concert cost $6 for reserved seats and $4 for general admission. If receipts must be at least $10,200 to meet expenses, graph an inequality that shows the possible ways that the box office can sell reserved seats ( x )and general admission tickets ( y ). Graph the inequality for nonnegative values of x and y .

Tell whether the graphs of the following pair of equations are parallel , perpendicular , or neither . $y = 5 x - 15 , y = \frac { 1 } { 5 } x + 22$

The graph below gives the heart rate of a woman before, during, and after an aerobic workout. Use the graph to answer the question. What was her heart rate before beginning the workout? __________ beats\min

The height (in inches)of a human is almost linearly related to his\her body weight (in pounds). For example, a 5'2'' tall person would weight around 118 lb; and a 5'9'' tall person would weight around 139 lb. Can you predict how tall could be a person whose weight is 181 lb?

Graph the inequality. $2 x \leq - 3 y - 12$

Find the slope and the y -intercept of the line of the equation. y = -0.00017 x $-$ 0.0017

Find the power of variables x and y to say whether the equation is linear or nonlinear. $- x ^ { 3 } + 3 y ^ { 5 } = 1$

Refer to the line graph. In approximately what year did miners begin to earn more than construction workers?

Graph the linear equation. $3 x = - 2$

Does this graph pass the vertical line test?

Complete the solution of equation. $y = 4 x - 3 , \quad ( 2 , ? )$

Scoliosis is a lateral curvature of the spine that can be more easily detected when a grid is superimposed over an X ray. Select the ordered pair that is not one of the "center points" of the labeled vertebrae. Note that T3 means the third thoracic vertebra, L4 means the fourth lumbar vertebra, and so on.

Determine if the slope of the line is positive, negative, zero or undefined.