Question 1

Suppose that segment  PQP QPQ  has the given coordinates for one endpoint  PPP  and for its midpoint  MMM . Find the coordinates of the other endpoint  QQQ .
- P(1.1,6.8) P(1.1,6.8) P(1.1,6.8)   and  M(−3.35,7.3) M(-3.35,7.3) M(−3.35,7.3)

Accepted Answer

A)    Q(−7.8,7.8) Q(-7.8,7.8) Q(−7.8,7.8)  
B)    Q(4.45,−0.5) Q(4.45,-0.5) Q(4.45,−0.5)  
C)    Q(8.9,−1) Q(8.9,-1) Q(8.9,−1)  
D)    Q(−6.7,14.6) Q(-6.7,14.6) Q(−6.7,14.6)

Question 2

Write the equation in slope-intercept form.
- 17x+5y=717 x+5 y=717x+5y=7

Accepted Answer

A)    y=175x+75y=\frac{17}{5} x+\frac{7}{5}y=517​x+57​ 
B)    y=17x−7y=17 x-7y=17x−7 
C)    y=−175x+75y=-\frac{17}{5} x+\frac{7}{5}y=−517​x+57​ 
D)    y=175x−75y=\frac{17}{5} x-\frac{7}{5}y=517​x−57​

Question 3

Graph the linear inequality in two variables.
- x+y≤4x+y \leq 4x+y≤4

Accepted Answer

A)   
B)   
C)   
D)

Question 4

Describe a situation in which it would be more convenient to use the point-slope form of the equation of a line than the slope-intercept form.

Accepted Answer

Answers will vary. One possibility: Slop...

Question 5

Find the  xxx  - and  yyy -intercepts. Then graph the equation.
- 2y=35x2 y=\frac{3}{5} x2y=53​x

Accepted Answer

A)    (0,0) ;(0,0)  (0,0)  ;(0,0)  (0,0) ;(0,0)  
B)    (0,0) ;(0,0)  (0,0)  ;(0,0)  (0,0) ;(0,0)  
C)    (0,0) ;(0,0)  (0,0)  ;(0,0)  (0,0) ;(0,0)  
D)    (0,0) ;(0,0)  (0,0)  ;(0,0)  (0,0) ;(0,0)

Question 6

Complete the table for the equation.
- −6x+2y=8-6 x+2 y=8−6x+2y=8

Accepted Answer

A)    0;10;−20 ; 10 ;-20;10;−2 
B)    0;−10;−20 ;-10 ;-20;−10;−2 
C)    0;2;−100 ; 2 ;-100;2;−10 
D)    0;−2;100 ;-2 ; 100;−2;10

Question 7

Solve the problem.
-It has been determined that the number of fish  f(t) f(t) f(t)   that can be caught in  ttt  minutes in a certain pond using a certain bait is  f(t) =0.21t+1f(t) =0.21 t+1f(t) =0.21t+1 , for  10">t>10t>10t>10 . Find the number of fish that can be caught if you fish for 38 minutes. Round your answer to the nearest whole number.

Accepted Answer

A)   42 fish
B)   9 fish
C)   19 fish
D)   40 fish

Question 8

Graph the equation by determining the missing values needed to plot the ordered pairs.
- y−x=1;(3,) ,(,8) ,(4,) y - x=1 ;(3, \quad) ,(\quad ,8) ,(4, \quad) y−x=1;(3,) ,(,8) ,(4,)

Accepted Answer

A)    
B)    
C)    
D)

Question 9

Find the average rate of change illustrated in the graph.
-

Accepted Answer

A)    $4.00\$ 4.00$4.00  per minute
B)    $.50\$ .50$.50  per minute
C)    $2.00\$ 2.00$2.00  per minute
D)    $.25\$ .25$.25  per minute

Question 10

Decide whether the relation is a function.
- {(−6,−1) ,(−1,6) ,(1,−9) ,(7,−5) }\{(-6,-1) ,(-1,6) ,(1,-9) ,(7,-5) \}{(−6,−1) ,(−1,6) ,(1,−9) ,(7,−5) }

Accepted Answer

A)   Not a function
B)   Function

Question 11

Solve the problem.
-Find  f(−1) f(-1) f(−1)   when  f(x) =3x2+4x−3f(x) =3 x^{2}+4 x-3f(x) =3x2+4x−3 .

Accepted Answer

A)   -4
B)   4
C)   -6
D)   2

Question 12

Solve the problem.
-Find  f(k−1) f(k-1) f(k−1)   when  f(x) =4x2+3x+5f(x) =4 x^{2}+3 x+5f(x) =4x2+3x+5 .

Accepted Answer

A)    4k2−5k+64 k^{2}-5 k+64k2−5k+6 
B)    4k2+23k+124 k^{2}+23 k+124k2+23k+12 
C)    4k2−5k+124 \mathrm{k}^{2}-5 \mathrm{k}+124k2−5k+12 
D)    −5k2+4k+6-5 k^{2}+4 k+6−5k2+4k+6

Question 13

Graph the compound inequality.
- 2x+y≤42 x+y \leq 42x+y≤4  and  0">x−1>0x-1>0x−1>0 
0    A)     B)     C)     D)    " class="answers-bank-image d-inline" rel="preload" >

Accepted Answer

A)   0    
A)      
B)      
C)      
D)     " class="answers-bank-image d-inline" rel="preload" >
B)   0    
A)      
B)      
C)      
D)     " class="answers-bank-image d-inline" rel="preload" >
C)   0    
A)      
B)      
C)      
D)     " class="answers-bank-image d-inline" rel="preload" >
D)   0    
A)      
B)      
C)      
D)     " class="answers-bank-image d-inline" rel="preload" >

Question 14

Find the equation in slope-intercept form of the line satisfying the conditions.
- m=−53;y\mathrm{m}=-\frac{5}{3} ; \mathrm{y}m=−35​;y -intercept  (0,353) \biggl(0, \frac{35}{3}\biggl) (0,335​)

Accepted Answer

A)    y=53x−353y=\frac{5}{3} x-\frac{35}{3}y=35​x−335​ 
B)    y=53x+353y=\frac{5}{3} x+\frac{35}{3}y=35​x+335​ 
C)    y=−53x+353y=-\frac{5}{3} x+\frac{35}{3}y=−35​x+335​ 
D)    y=−53x−353y=-\frac{5}{3} x-\frac{35}{3}y=−35​x−335​

Question 15

The graph shows sales in thousands of dollars for 1989 and 1990. Use it to answer the question
 
-Which month in 2006 had the lowest sales?

Accepted Answer

A)   Month 8
B)   Month 3
C)   Month 2
D)   Month 6

Question 16

The graph of the linear equation  y1y 1y1  is shown on a graphing calculator screen, along with the  xxx -value of the  xxx -intercept of the line. Use the screen to solve the following equation or inequality.
- 0">y1>0\mathrm{y}_{1}>0y1​>0 
0    A)   (-\infty, 0)   B)   (0, \infty)   C)   (-3, \infty)   D)   (-\infty,-3) " class="answers-bank-image d-inline" rel="preload" >

Accepted Answer

A)    (−∞,0) (-\infty, 0) (−∞,0)  
B)    (0,∞) (0, \infty) (0,∞)  
C)    (−3,∞) (-3, \infty) (−3,∞)  
D)    (−∞,−3) (-\infty,-3) (−∞,−3)

Question 17

Solve the problem
-Suppose the sales of a particular brand of appliance satisfy the relationship  S(x) =50x+900S(x) =50 x+900S(x) =50x+900 , where  S(x) S(x) S(x)   represents the number of sales in year  xxx , with  x=0x=0x=0  corresponding to 1982. Find the number of sales in 1990.

Accepted Answer

A)   1250
B)   2600
C)   1300
D)   2550

Question 18

Decide whether the relation is a function.
- {(−2,−9) ,(2,8) ,(6,−2) ,(9,−2) ,(11,−8) }\{(-2,-9) ,(2,8) ,(6,-2) ,(9,-2) ,(11,-8) \}{(−2,−9) ,(2,8) ,(6,−2) ,(9,−2) ,(11,−8) }

Accepted Answer

A)   Function
B)   Not a function

Question 19

Solve the problem
-Using a phone card to make a long distance call costs a flat fee of  $0.19\$ 0.19$0.19  plus  $0.13\$ 0.13$0.13  per minute starting with the first minute. Find the total cost of a phone call which lasts 3 minutes.

Accepted Answer

A)    $0.58\$ 0.58$0.58 
B)    $3.02\$ 3.02$3.02 
C)    $0.39\$ 0.39$0.39 
D)    $0.70\$ 0.70$0.70

Question 20

Find an equation of the line passing through the two points. Write the equation in standard form.
- (4,−2) (4,-2) (4,−2)   and  (−2,9) (-2,9) (−2,9)

Accepted Answer

A)    −6x+11y=−87-6 x+11 y=-87−6x+11y=−87 
B)    11x+6y=3211 x+6 y=3211x+6y=32 
C)    −11x+6y=32-11 x+6 y=32−11x+6y=32 
D)    6x−11y=−876 x-11 y=-876x−11y=−87

Exam 3: Linear Equations, Graphs, and Functions

The graph shows sales in thousands of dollars for 1989 and 1990. Use it to answer the question -Which month in 2006 had the lowest sales?

Correct Answer
verified

Graph the linear inequality in two variables. - $x+y \leq 4$ $Graph the linear inequality in two variables. - x+y \leq 4 A) B) C) D)$

Correct Answer
verified

Decide whether the relation is a function. - $\{(-6,-1) ,(-1,6) ,(1,-9) ,(7,-5) \}$

Correct Answer
verified

Find the equation in slope-intercept form of the line satisfying the conditions. - $\mathrm{m}=-\frac{5}{3} ; \mathrm{y}$ -intercept $\biggl(0, \frac{35}{3}\biggl)$

Correct Answer
verified

Write the equation in slope-intercept form. - $17 x+5 y=7$

Correct Answer
verified

Solve the problem -Using a phone card to make a long distance call costs a flat fee of $\$ 0.19$ plus $\$ 0.13$ per minute starting with the first minute. Find the total cost of a phone call which lasts 3 minutes.

Correct Answer
verified

Decide whether the relation is a function. - $\{(-2,-9) ,(2,8) ,(6,-2) ,(9,-2) ,(11,-8) \}$

Correct Answer
verified

Correct Answer
verified

Complete the table for the equation. - $-6 x+2 y=8$

Correct Answer
verified

Solve the problem. -It has been determined that the number of fish $f(t)$ that can be caught in $t$ minutes in a certain pond using a certain bait is $f(t) =0.21 t+1$ , for $t>10$ . Find the number of fish that can be caught if you fish for 38 minutes. Round your answer to the nearest whole number.

Correct Answer
verified

Graph the equation by determining the missing values needed to plot the ordered pairs. - $y - x=1 ;(3, \quad) ,(\quad ,8) ,(4, \quad)$ $Graph the equation by determining the missing values needed to plot the ordered pairs. - y - x=1 ;(3, \quad) ,(\quad ,8) ,(4, \quad) A) B) C) D)$

Correct Answer
verified

Find the $x$ - and $y$ -intercepts. Then graph the equation. - $2 y=\frac{3}{5} x$ $Find the x - and y -intercepts. Then graph the equation. - 2 y=\frac{3}{5} x A) (0,0) ;(0,0) B) (0,0) ;(0,0) C) (0,0) ;(0,0) D) (0,0) ;(0,0)$

Correct Answer
verified

Describe a situation in which it would be more convenient to use the point-slope form of the equation of a line than the slope-intercept form.

Correct Answer
verified
Answers will vary. One possibility: Slop...
View Answer

Graph the compound inequality. - $2 x+y \leq 4$ and $x-1>0$ $Graph the compound inequality. - 2 x+y \leq 4 and x-1>0 A) B) C) D)$

Correct Answer
verified

Find the average rate of change illustrated in the graph. - $Find the average rate of change illustrated in the graph. - A) \$ 4.00 per minute B) \$ .50 per minute C) \$ 2.00 per minute D) \$ .25 per minute$

Correct Answer
verified

Solve the problem -Suppose the sales of a particular brand of appliance satisfy the relationship $S(x) =50 x+900$ , where $S(x)$ represents the number of sales in year $x$ , with $x=0$ corresponding to 1982. Find the number of sales in 1990.

Correct Answer
verified

Find an equation of the line passing through the two points. Write the equation in standard form. - $(4,-2)$ and $(-2,9)$

Correct Answer
verified

Solve the problem. -Find $f(-1)$ when $f(x) =3 x^{2}+4 x-3$ .

Correct Answer
verified

Solve the problem. -Find $f(k-1)$ when $f(x) =4 x^{2}+3 x+5$ .

Correct Answer
verified

Suppose that segment $P Q$ has the given coordinates for one endpoint $P$ and for its midpoint $M$ . Find the coordinates of the other endpoint $Q$ . - $P(1.1,6.8)$ and $M(-3.35,7.3)$

Correct Answer
verified

Exam 3: Linear Equations, Graphs, and Functions

The graph shows sales in thousands of dollars for 1989 and 1990. Use it to answer the question -Which month in 2006 had the lowest sales?

Correct AnswerverifiedShow Answer

Graph the linear inequality in two variables. - x+y≤4x+y \leq 4x+y≤4

Correct AnswerverifiedShow Answer

Decide whether the relation is a function. - {(−6,−1) ,(−1,6) ,(1,−9) ,(7,−5) }\{(-6,-1) ,(-1,6) ,(1,-9) ,(7,-5) \}{(−6,−1) ,(−1,6) ,(1,−9) ,(7,−5) }

Correct AnswerverifiedShow Answer

Find the equation in slope-intercept form of the line satisfying the conditions. - m=−53;y\mathrm{m}=-\frac{5}{3} ; \mathrm{y}m=−35​;y -intercept (0,353) \biggl(0, \frac{35}{3}\biggl) (0,335​)

Correct AnswerverifiedShow Answer

Write the equation in slope-intercept form. - 17x+5y=717 x+5 y=717x+5y=7

Correct AnswerverifiedShow Answer

Solve the problem -Using a phone card to make a long distance call costs a flat fee of $0.19\$ 0.19$0.19 plus $0.13\$ 0.13$0.13 per minute starting with the first minute. Find the total cost of a phone call which lasts 3 minutes.

Correct AnswerverifiedShow Answer

Decide whether the relation is a function. - {(−2,−9) ,(2,8) ,(6,−2) ,(9,−2) ,(11,−8) }\{(-2,-9) ,(2,8) ,(6,-2) ,(9,-2) ,(11,-8) \}{(−2,−9) ,(2,8) ,(6,−2) ,(9,−2) ,(11,−8) }

Correct AnswerverifiedShow Answer

The graph of the linear equation y1y 1y1 is shown on a graphing calculator screen, along with the xxx -value of the xxx -intercept of the line. Use the screen to solve the following equation or inequality. - y1>0\mathrm{y}_{1}>0y1​>0

Correct AnswerverifiedShow Answer

Complete the table for the equation. - −6x+2y=8-6 x+2 y=8−6x+2y=8

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Graph the equation by determining the missing values needed to plot the ordered pairs. - y−x=1;(3,) ,(,8) ,(4,) y - x=1 ;(3, \quad) ,(\quad ,8) ,(4, \quad) y−x=1;(3,) ,(,8) ,(4,)

Correct AnswerverifiedShow Answer

Find the xxx - and yyy -intercepts. Then graph the equation. - 2y=35x2 y=\frac{3}{5} x2y=53​x

Correct AnswerverifiedShow Answer

Describe a situation in which it would be more convenient to use the point-slope form of the equation of a line than the slope-intercept form.

Correct AnswerverifiedAnswers will vary. One possibility: Slop...View AnswerShow Answer

Graph the compound inequality. - 2x+y≤42 x+y \leq 42x+y≤4 and x−1>0x-1>0x−1>0

Correct AnswerverifiedShow Answer

Find the average rate of change illustrated in the graph. -

Correct AnswerverifiedShow Answer

Solve the problem -Suppose the sales of a particular brand of appliance satisfy the relationship S(x) =50x+900S(x) =50 x+900S(x) =50x+900 , where S(x) S(x) S(x) represents the number of sales in year xxx , with x=0x=0x=0 corresponding to 1982. Find the number of sales in 1990.

Correct AnswerverifiedShow Answer

Find an equation of the line passing through the two points. Write the equation in standard form. - (4,−2) (4,-2) (4,−2) and (−2,9) (-2,9) (−2,9)

Correct AnswerverifiedShow Answer

Solve the problem. -Find f(−1) f(-1) f(−1) when f(x) =3x2+4x−3f(x) =3 x^{2}+4 x-3f(x) =3x2+4x−3 .

Correct AnswerverifiedShow Answer

Solve the problem. -Find f(k−1) f(k-1) f(k−1) when f(x) =4x2+3x+5f(x) =4 x^{2}+3 x+5f(x) =4x2+3x+5 .

Correct AnswerverifiedShow Answer

Suppose that segment PQP QPQ has the given coordinates for one endpoint PPP and for its midpoint MMM . Find the coordinates of the other endpoint QQQ . - P(1.1,6.8) P(1.1,6.8) P(1.1,6.8) and M(−3.35,7.3) M(-3.35,7.3) M(−3.35,7.3)

Correct AnswerverifiedShow Answer

Correct Answer
verified

Graph the linear inequality in two variables. - $x+y \leq 4$ $Graph the linear inequality in two variables. - x+y \leq 4 A) B) C) D)$

Correct Answer
verified

Decide whether the relation is a function. - $\{(-6,-1) ,(-1,6) ,(1,-9) ,(7,-5) \}$

Correct Answer
verified

Find the equation in slope-intercept form of the line satisfying the conditions. - $\mathrm{m}=-\frac{5}{3} ; \mathrm{y}$ -intercept $\biggl(0, \frac{35}{3}\biggl)$

Correct Answer
verified

Write the equation in slope-intercept form. - $17 x+5 y=7$

Correct Answer
verified

Solve the problem -Using a phone card to make a long distance call costs a flat fee of $\$ 0.19$ plus $\$ 0.13$ per minute starting with the first minute. Find the total cost of a phone call which lasts 3 minutes.

Correct Answer
verified

Decide whether the relation is a function. - $\{(-2,-9) ,(2,8) ,(6,-2) ,(9,-2) ,(11,-8) \}$

Correct Answer
verified

Correct Answer
verified

Complete the table for the equation. - $-6 x+2 y=8$

Correct Answer
verified

Correct Answer
verified

Graph the equation by determining the missing values needed to plot the ordered pairs. - $y - x=1 ;(3, \quad) ,(\quad ,8) ,(4, \quad)$ $Graph the equation by determining the missing values needed to plot the ordered pairs. - y - x=1 ;(3, \quad) ,(\quad ,8) ,(4, \quad) A) B) C) D)$

Correct Answer
verified

Find the $x$ - and $y$ -intercepts. Then graph the equation. - $2 y=\frac{3}{5} x$ $Find the x - and y -intercepts. Then graph the equation. - 2 y=\frac{3}{5} x A) (0,0) ;(0,0) B) (0,0) ;(0,0) C) (0,0) ;(0,0) D) (0,0) ;(0,0)$

Correct Answer
verified

Correct Answer
verified
Answers will vary. One possibility: Slop...
View Answer

Graph the compound inequality. - $2 x+y \leq 4$ and $x-1>0$ $Graph the compound inequality. - 2 x+y \leq 4 and x-1>0 A) B) C) D)$

Correct Answer
verified

Find the average rate of change illustrated in the graph. - $Find the average rate of change illustrated in the graph. - A) \$ 4.00 per minute B) \$ .50 per minute C) \$ 2.00 per minute D) \$ .25 per minute$

Correct Answer
verified

Solve the problem -Suppose the sales of a particular brand of appliance satisfy the relationship $S(x) =50 x+900$ , where $S(x)$ represents the number of sales in year $x$ , with $x=0$ corresponding to 1982. Find the number of sales in 1990.

Correct Answer
verified

Find an equation of the line passing through the two points. Write the equation in standard form. - $(4,-2)$ and $(-2,9)$

Correct Answer
verified

Solve the problem. -Find $f(-1)$ when $f(x) =3 x^{2}+4 x-3$ .

Correct Answer
verified

Solve the problem. -Find $f(k-1)$ when $f(x) =4 x^{2}+3 x+5$ .

Correct Answer
verified

Suppose that segment $P Q$ has the given coordinates for one endpoint $P$ and for its midpoint $M$ . Find the coordinates of the other endpoint $Q$ . - $P(1.1,6.8)$ and $M(-3.35,7.3)$

Correct Answer
verified