Question 1

Find the y- and x-intercepts for the equation. Then graph the equation.
-$2 x - y = - 6$

Accepted Answer

A)  $( 0,6 ) , ( 12,0 )$
  
B)  $( 0,6 ) , ( - 3,0 )$
  
C)  $( 0 , - 6 ) , ( 3,0 )$
  
D)  $( 0,6 ) , ( 3,0 )$
  
A)  $( 0,6 ) , ( 12,0 )$
  
B)  $( 0,6 ) , ( - 3,0 )$
  
C)  $( 0 , - 6 ) , ( 3,0 )$
  
D)  $( 0,6 ) , ( 3,0 )$

Question 2

The graph below shows the height of sand in an hourglass at various times. Use the graph to find the average rate of change of the height of the sand.

Accepted Answer

A)  $1 \mathrm {~mm}$ per second 
B)  $0.85 \mathrm {~mm}$ per second 
C)  $0.75 \mathrm {~mm}$ per second 
D)  $1.3 \mathrm {~mm}$ per second 
A)  $1 \mathrm {~mm}$ per second 
B)  $0.85 \mathrm {~mm}$ per second 
C)  $0.75 \mathrm {~mm}$ per second 
D)  $1.3 \mathrm {~mm}$ per second

Question 3

Find the midpoint of the line segment joining the two points.
-$( - 7 , - 4 )$ and $( 0,8 )$

Accepted Answer

A)  $\left( - \frac { 7 } { 2 } , - 6 \right)$ 
B)  $( - 7 , - 12 )$ 
C)  $( - 7,4 )$ 
D)  $\left( - \frac { 7 } { 2 } , 2 \right)$ 
A)  $\left( - \frac { 7 } { 2 } , - 6 \right)$ 
B)  $( - 7 , - 12 )$ 
C)  $( - 7,4 )$ 
D)  $\left( - \frac { 7 } { 2 } , 2 \right)$

Question 4

Solve the problem.
-A motorcycle daredevil is planning a stunt to perform at a county fair. A ramp must be built to give him a 20% grade, or slope. If the vertical height at the end of the ramp must be 15 ft to assure that
The stunt is a success, what must be the length of the horizontal run?

Accepted Answer

A)  $75 \mathrm { ft }$ 
B)  $270 \mathrm { ft }$ 
C)  $2.7 \mathrm { ft }$ 
D)  $15 \mathrm { ft }$ 
A)  $75 \mathrm { ft }$ 
B)  $270 \mathrm { ft }$ 
C)  $2.7 \mathrm { ft }$ 
D)  $15 \mathrm { ft }$

Question 5

$\text { Locate the point on the rectangular coordinate system. }$
 
-(3, 5)

Accepted Answer

A) K 
B) D 
C) I 
D) L 
A) K 
B) D 
C) I 
D) L

Question 6

Find the slope of the line through the points.
-(5, 9)and (7, 6)

Accepted Answer

A)  $- \frac { 2 } { 3 }$ 
B)  $- \frac { 3 } { 2 }$ 
C)  $\frac { 5 } { 4 }$ 
D)  $\frac { 3 } { 2 }$ 
A)  $- \frac { 2 } { 3 }$ 
B)  $- \frac { 3 } { 2 }$ 
C)  $\frac { 5 } { 4 }$ 
D)  $\frac { 3 } { 2 }$

Question 7

Find the center and radius of the circle.
-$x ^ { 2 } + y ^ { 2 } + 18 x + 4 y + 85 = 36$

Accepted Answer

A)  $( 9,2 ) , r = 36$ 
B)  $( - 9 , - 2 ) , \mathrm { r } = 6$ 
C)  $( 2,9 ) , r = 36$ 
D)  $( - 2 , - 9 ) , r = 6$ 
A)  $( 9,2 ) , r = 36$ 
B)  $( - 9 , - 2 ) , \mathrm { r } = 6$ 
C)  $( 2,9 ) , r = 36$ 
D)  $( - 2 , - 9 ) , r = 6$

Question 8

Solve the problem.
-Three receiving stations at (8, 11), (4, 6), and (12, 9)record distances to an earthquake of 2 units, 5 units, and 4 units, respectively.Find the coordinates of the epicenter.

Accepted Answer

A) (-6, -5) 
B) (1, 2) 
C) (9, 8) 
D) (8, 9) 
A) (-6, -5) 
B) (1, 2) 
C) (9, 8) 
D) (8, 9)

Question 9

$\text { Locate the point on the rectangular coordinate system. }$
 
-(0, 2)

Accepted Answer

A) B 
B) F 
C) C 
D) K 
A) B 
B) F 
C) C 
D) K

Question 10

Find the y- and x-intercepts for the equation. Then graph the equation.
-$25 y-5 x=-10$

Accepted Answer

A)  $\left( 0 , \frac { 2 } { 5 } \right) , ( - 2,0 )$
  
B)  $\left( 0 , - \frac { 2 } { 5 } \right) , ( 2,0 )$
  
C)  $( 0,2 ) , \left( - \frac { 2 } { 5 } , 0 \right)$
  
D)  $\left( 0 , - \frac { 2 } { 5 } \right) , ( - 2,0 )$
  
A)  $\left( 0 , \frac { 2 } { 5 } \right) , ( - 2,0 )$
  
B)  $\left( 0 , - \frac { 2 } { 5 } \right) , ( 2,0 )$
  
C)  $( 0,2 ) , \left( - \frac { 2 } { 5 } , 0 \right)$
  
D)  $\left( 0 , - \frac { 2 } { 5 } \right) , ( - 2,0 )$

Question 11

Find the center and radius of the circle.
-$x ^ { 2 } + ( y - 7 ) ^ { 2 } = 25$

Accepted Answer

A)  $( - 7,0 ) , r = 25$ 
B)  $( 0,7 ) , r = 5$ 
C)  $( 7,0 ) , \mathrm { r } = 25$ 
D)  $( 0 , - 7 ) , \mathrm { r } = 5$ 
A)  $( - 7,0 ) , r = 25$ 
B)  $( 0,7 ) , r = 5$ 
C)  $( 7,0 ) , \mathrm { r } = 25$ 
D)  $( 0 , - 7 ) , \mathrm { r } = 5$

Question 12

Find the center and radius of the circle.
-$x ^ { 2 } - 10 x + 25 + y ^ { 2 } + 14 y + 49 = 36$

Accepted Answer

A)  $( 7 , - 5 ) , r = 36$ 
B)  $( - 7,5 ) , r = 6$ 
C)  $( 5 , - 7 ) , r = 6$ 
D)  $( - 5,7 ) , r = 36$ 
A)  $( 7 , - 5 ) , r = 36$ 
B)  $( - 7,5 ) , r = 6$ 
C)  $( 5 , - 7 ) , r = 6$ 
D)  $( - 5,7 ) , r = 36$

Question 13

Decide whether the pair of lines is parallel, perpendicular, or neither.
-The line through (3, -5)and (-1, 7)and the line through (6, -13)and (-2, 11)

Accepted Answer

A) Perpendicular 
B) Parallel 
C) Neither 
A) Perpendicular 
B) Parallel 
C) Neither

Question 14

$\text { Locate the point on the rectangular coordinate system. }$
 
-(0,-3)

Accepted Answer

A) J 
B) I 
C) C 
D) G 
A) J 
B) I 
C) C 
D) G

Question 15

Find the slope-intercept form of the equation for the line shown.
-

Accepted Answer

A)  $y = x + 5$ 
B)  $y = x - 5$ 
C)  $y = - x + 5$ 
D)  $y = - x - 5$ 
A)  $y = x + 5$ 
B)  $y = x - 5$ 
C)  $y = - x + 5$ 
D)  $y = - x - 5$

Question 16

Give the quadrant in which the point is located.
-(7, -10)

Accepted Answer

A) Quadrant I 
B) Quadrant III 
C) Quadrant II 
D) Quadrant IV 
A) Quadrant I 
B) Quadrant III 
C) Quadrant II 
D) Quadrant IV

Find the y- and x-intercepts for the equation. Then graph the equation. - $2 x - y = - 6$

The graph below shows the height of sand in an hourglass at various times. Use the graph to find the average rate of change of the height of the sand.

Find the midpoint of the line segment joining the two points. - $( - 7 , - 4 )$ and $( 0,8 )$

Solve the problem. -A motorcycle daredevil is planning a stunt to perform at a county fair. A ramp must be built to give him a 20% grade, or slope. If the vertical height at the end of the ramp must be 15 ft to assure that The stunt is a success, what must be the length of the horizontal run?

$\text { Locate the point on the rectangular coordinate system. }$ $\text { Locate the point on the rectangular coordinate system. } -(3, 5)$ -(3, 5)

Find the slope of the line through the points. -(5, 9)and (7, 6)

Find the center and radius of the circle. - $x ^ { 2 } + y ^ { 2 } + 18 x + 4 y + 85 = 36$

Solve the problem. -Three receiving stations at (8, 11), (4, 6), and (12, 9)record distances to an earthquake of 2 units, 5 units, and 4 units, respectively.Find the coordinates of the epicenter.

$\text { Locate the point on the rectangular coordinate system. }$ $\text { Locate the point on the rectangular coordinate system. } -(0, 2)$ -(0, 2)

Find the y- and x-intercepts for the equation. Then graph the equation. - $25 y-5 x=-10$

Find the center and radius of the circle. - $x ^ { 2 } + ( y - 7 ) ^ { 2 } = 25$

Find the center and radius of the circle. - $x ^ { 2 } - 10 x + 25 + y ^ { 2 } + 14 y + 49 = 36$

Decide whether the pair of lines is parallel, perpendicular, or neither. -The line through (3, -5)and (-1, 7)and the line through (6, -13)and (-2, 11)

$\text { Locate the point on the rectangular coordinate system. }$ $\text { Locate the point on the rectangular coordinate system. } -(0,-3)$ -(0,-3)

Find the slope-intercept form of the equation for the line shown. -

Give the quadrant in which the point is located. -(7, -10)

The Art of Problem Solving

The Basic Concepts of Set Theory

Introduction to Logic

Numeration Systems

Number Theory

The Real Numbers and Their Representations

The Basic Concepts of Algebra

Geometry

Counting Methods

Probability

Statistics

Personal Financial Management

Trigonometry Formerly

Graph Theory

Voting and Apportionment

Filters

Exam 8: Graphs, Functions, and Systems of Equations and Inequalities

Find the y- and x-intercepts for the equation. Then graph the equation. - 2x−y=−62 x - y = - 62x−y=−6

The graph below shows the height of sand in an hourglass at various times. Use the graph to find the average rate of change of the height of the sand.

Find the midpoint of the line segment joining the two points. - (−7,−4)( - 7 , - 4 )(−7,−4) and (0,8)( 0,8 )(0,8)

Solve the problem. -A motorcycle daredevil is planning a stunt to perform at a county fair. A ramp must be built to give him a 20% grade, or slope. If the vertical height at the end of the ramp must be 15 ft to assure that The stunt is a success, what must be the length of the horizontal run?

Locate the point on the rectangular coordinate system. \text { Locate the point on the rectangular coordinate system. } Locate the point on the rectangular coordinate system. -(3, 5)

Find the slope of the line through the points. -(5, 9)and (7, 6)

Find the center and radius of the circle. - x2+y2+18x+4y+85=36x ^ { 2 } + y ^ { 2 } + 18 x + 4 y + 85 = 36x2+y2+18x+4y+85=36

Solve the problem. -Three receiving stations at (8, 11), (4, 6), and (12, 9)record distances to an earthquake of 2 units, 5 units, and 4 units, respectively.Find the coordinates of the epicenter.

Locate the point on the rectangular coordinate system. \text { Locate the point on the rectangular coordinate system. } Locate the point on the rectangular coordinate system. -(0, 2)

Find the y- and x-intercepts for the equation. Then graph the equation. - 25y−5x=−1025 y-5 x=-1025y−5x=−10

Find the center and radius of the circle. - x2+(y−7)2=25x ^ { 2 } + ( y - 7 ) ^ { 2 } = 25x2+(y−7)2=25

Find the center and radius of the circle. - x2−10x+25+y2+14y+49=36x ^ { 2 } - 10 x + 25 + y ^ { 2 } + 14 y + 49 = 36x2−10x+25+y2+14y+49=36

Decide whether the pair of lines is parallel, perpendicular, or neither. -The line through (3, -5)and (-1, 7)and the line through (6, -13)and (-2, 11)

Locate the point on the rectangular coordinate system. \text { Locate the point on the rectangular coordinate system. } Locate the point on the rectangular coordinate system. -(0,-3)

Find the slope-intercept form of the equation for the line shown. -

Give the quadrant in which the point is located. -(7, -10)

The Art of Problem Solving

The Basic Concepts of Set Theory

Introduction to Logic

Numeration Systems

Number Theory

The Real Numbers and Their Representations

The Basic Concepts of Algebra

Geometry

Counting Methods

Probability

Statistics

Personal Financial Management

Trigonometry Formerly

Graph Theory

Voting and Apportionment

Filters

Find the y- and x-intercepts for the equation. Then graph the equation. - $2 x - y = - 6$

Find the midpoint of the line segment joining the two points. - $( - 7 , - 4 )$ and $( 0,8 )$

$\text { Locate the point on the rectangular coordinate system. }$ $\text { Locate the point on the rectangular coordinate system. } -(3, 5)$ -(3, 5)

Find the center and radius of the circle. - $x ^ { 2 } + y ^ { 2 } + 18 x + 4 y + 85 = 36$

$\text { Locate the point on the rectangular coordinate system. }$ $\text { Locate the point on the rectangular coordinate system. } -(0, 2)$ -(0, 2)

Find the y- and x-intercepts for the equation. Then graph the equation. - $25 y-5 x=-10$

Find the center and radius of the circle. - $x ^ { 2 } + ( y - 7 ) ^ { 2 } = 25$

Find the center and radius of the circle. - $x ^ { 2 } - 10 x + 25 + y ^ { 2 } + 14 y + 49 = 36$

$\text { Locate the point on the rectangular coordinate system. }$ $\text { Locate the point on the rectangular coordinate system. } -(0,-3)$ -(0,-3)