Question 1

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

Accepted Answer

The answer of Decide whether each ordered pair is a...

Question 2

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?

Accepted Answer

A) True 
 B)False

Question 3

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

Accepted Answer

A) $7 
B) $6 
C) $3 
D) $5 
E) $4

Question 4

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.

Accepted Answer

A)  $- \frac { 5 } { 9 }$ 
B) 45 
C)  $\frac { 5 } { 9 }$ 
D) 14 
E)  $\frac { 9 } { 5 }$

Question 5

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

Accepted Answer

A)   Yes 
B)   No 
C)   No 
D)   Yes

Question 6

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

Accepted Answer

A)  $370.6$ people per square mi 
B)  $36.6$ people per square mi 
C)  $355.6$ people per square mi 
D)  $388.6$ people per square mi 
E)  $390.6$ people per square mi

Question 7

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

Accepted Answer

A)  $5 x ^ { 2 } - 6 x$ 
B)  $6 x + 5$ 
C)  $5 x + 6$ 
D)  $5 x - 6$ 
E)  $6 x - 5$

Question 8

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 .

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 9

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

Accepted Answer

A) neither 
B) parallel 
C) perpendicular

Question 10

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

Accepted Answer

The answer of The graph below gives the heart rate...

Question 11

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?

Accepted Answer

A) 6'11'' 
B) 11'6'' 
C) 10'6'' 
D) 6'10''

Question 12

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

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 13

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

Accepted Answer

The answer of Find the slope and the y -intercept...

Question 14

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

Accepted Answer

A) 0; 0; linear 
B) 3; 5; linear 
C) 3; 5; nonlinear 
D) 1; 1; nonlinear

Question 15

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

Accepted Answer

A) in 1984 
B) in 1982 
C) in 1988 
D) in 1985 
E) in 1990

Question 16

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

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 17

Does this graph pass the vertical line test?

Accepted Answer

A) Yes 
B) No

Question 18

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

Accepted Answer

A) 14 
B) 11 
C) 8 
D) 7

Question 19

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.

Accepted Answer

A)  $( - 1 , - 5 )$ 
B)  $( - 2,3 )$ 
C) (3,10) 
D) (3,16) 
E) (0,0)

Question 20

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

Accepted Answer

A) zero 
B) undefined 
C) negative 
D) positive 
E) The graph isn't a line.

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.

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 $g + f$ .

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 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. $y = 4 x - 3 , \quad ( 2 , ? )$

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

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. 3x−2y≥53 x - 2 y \geq 53x−2y≥5 Answer yes or no . (1,1)( 1,1 )(1,1) __________ (0,5)( 0,5 )(0,5) __________ (−1,−4)( - 1 , - 4 )(−1,−4) __________ (1,14)\left( 1 , \frac { 1 } { 4 } \right)(1,41​) __________

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) ( - 14 ) , ( - 4,1 ) , ( - 5,0 ) , ( - 6 , - 1 ) (−14) ,(−4,1) ,(−5,0) ,(−6,−1)

Write each rate as a unit rate. 3,891,3003,891,3003,891,300 people living in 10,50010,50010,500 square

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

Tell whether the graphs of the following pair of equations are parallel , perpendicular , or neither . y=5x−15,y=15x+22y = 5 x - 15 , y = \frac { 1 } { 5 } x + 22y=5x−15,y=51​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. 2x≤−3y−122 x \leq - 3 y - 122x≤−3y−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. −x3+3y5=1- x ^ { 3 } + 3 y ^ { 5 } = 1−x3+3y5=1

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

Graph the linear equation. 3x=−23 x = - 23x=−2

Does this graph pass the vertical line test?

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

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

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

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 $g + f$ .

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

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. $- x ^ { 3 } + 3 y ^ { 5 } = 1$

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

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