Question 1

Find the slope and y-intercept of the line.
-9x + y = -10

Accepted Answer

A)  slope $= 9 ; \mathrm { y }$-intercept $= - 10$ 
B)  slope $= - \frac { 9 } { 10 } ; y$-intercept $= - \frac { 1 } { 10 }$ 
C)  slope $= - \frac { 1 } { 9 } ; y$-intercept $= - \frac { 10 } { 9 }$ 
D)  slope $= - 9 ; y$-intercept $= - 10$ 
A)  slope $= 9 ; \mathrm { y }$-intercept $= - 10$ 
B)  slope $= - \frac { 9 } { 10 } ; y$-intercept $= - \frac { 1 } { 10 }$ 
C)  slope $= - \frac { 1 } { 9 } ; y$-intercept $= - \frac { 10 } { 9 }$ 
D)  slope $= - 9 ; y$-intercept $= - 10$

Question 2

Find the center and radius of the circle with the given equation.
-$$x ^ { 2 } + 8 x + 16 + ( y + 9 ) ^ { 2 } = 81$$

Accepted Answer

A) Center (-4, -9), r = 9 
B) Center (4, 9), r = 81 
C) Center (-9, -4), r = 9 
D) Center (9, 4), r = 81 
A) Center (-4, -9), r = 9 
B) Center (4, 9), r = 81 
C) Center (-9, -4), r = 9 
D) Center (9, 4), r = 81

Question 3

Find the slope of the line containing the two points.
-(5, -3)and (6, -5)

Accepted Answer

A)  $- \frac { 1 } { 2 }$ 
B)  2 
C)  $\frac { 1 } { 2 }$ 
D)  $- 2$ 
A)  $- \frac { 1 } { 2 }$ 
B)  2 
C)  $\frac { 1 } { 2 }$ 
D)  $- 2$

Question 4

Graph the equation by plotting intercepts.
-4x + 3y = 12

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 5

Determine whether the indicated ordered pair lies on the graph of the given equation.
-$$y = 8 x ^ { 2 } - 1 , ( - 1,7 )$$

Accepted Answer

A) Yes 
B) No 
A) Yes 
B) No

Question 6

Sketch the line with the given slope that passes through the indicated point.
-$$\text { Slope } = \frac { 2 } { 5 } \text {; line passes through the point } ( - 8,5 )$$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 7

Find the intercepts of the circle. Round to the nearest hundredth, when necessary.
-$$x ^ { 2 } + y ^ { 2 } = 9$$

Accepted Answer

A) The x-intercept is x = 9, and the y-intercept is y = 9. 
B) The two x-intercepts are x = 9 and x = -9, and the two y-intercepts are y = 9 and y = -9. 
C) The two x-intercepts are x = 3 and x = -3, and the two y-intercepts are y = 3 and y = -3. 
D) The x-intercept is x = 3, and the y-intercept is y = 3. 
A) The x-intercept is x = 9, and the y-intercept is y = 9. 
B) The two x-intercepts are x = 9 and x = -9, and the two y-intercepts are y = 9 and y = -9. 
C) The two x-intercepts are x = 3 and x = -3, and the two y-intercepts are y = 3 and y = -3. 
D) The x-intercept is x = 3, and the y-intercept is y = 3.

Question 8

Find the distance d(A, B)between the points A and B.
-A = (1, 5); B = (-3, -2)

Accepted Answer

A)  $\sqrt { 33 }$ 
B)  3 
C)  28 
D)  $\sqrt { 65 }$ 
A)  $\sqrt { 33 }$ 
B)  3 
C)  28 
D)  $\sqrt { 65 }$

Question 9

Find the center and radius of the circle with the given equation.
-$$( x - 4 ) ^ { 2 } + y ^ { 2 } = 16$$

Accepted Answer

A)  Center $( 0,4 ) , r = 16$ 
B)  Center $( 4,0 ) , r = 16$ 
C)  Center $( 4,0 ) , \mathrm { r } = 4$ 
D)  Center $( 0,4 ) , \mathrm { r } = 4$ 
A)  Center $( 0,4 ) , r = 16$ 
B)  Center $( 4,0 ) , r = 16$ 
C)  Center $( 4,0 ) , \mathrm { r } = 4$ 
D)  Center $( 0,4 ) , \mathrm { r } = 4$

Question 10

Find the midpoint of the line segment joining the points A and B.
-A = (7, 1); B = (-16, -16)

Accepted Answer

A)  $( - 9 , - 15 )$ 
B)  $\left( \frac { 23 } { 2 } , \frac { 17 } { 2 } \right)$ 
C)  $\left( - \frac { 9 } { 2 } , - \frac { 15 } { 2 } \right)$ 
D)  $( 9,15 )$ 
A)  $( - 9 , - 15 )$ 
B)  $\left( \frac { 23 } { 2 } , \frac { 17 } { 2 } \right)$ 
C)  $\left( - \frac { 9 } { 2 } , - \frac { 15 } { 2 } \right)$ 
D)  $( 9,15 )$

Question 11

Sketch the graph for the equation by plotting points.
-x2 + 9y = 9

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 12

Find the equation of the line passing through the indicated two points. Write the equation in slope-intercept form.
-(3, -9)and (9, 7)

Accepted Answer

A)  $x = 3$ 
B)  $y = \frac { 8 } { 3 } x - 17$ 
C)  $y = - 2 x - 3$ 
D)  $y = \frac { 7 } { 2 } x - \frac { 39 } { 2 }$ 
A)  $x = 3$ 
B)  $y = \frac { 8 } { 3 } x - 17$ 
C)  $y = - 2 x - 3$ 
D)  $y = \frac { 7 } { 2 } x - \frac { 39 } { 2 }$

Question 13

Use slope to determine whether the quadrilateral with the given vertices forms a parallelogram. If it is a parallelogram,
determine whether it is also a rhombus.
-A(-2, 4), B(1, 7), C( 3, -1), D(6, 2)

Accepted Answer

A) No, it is not a parallelogram (nor is it a rhombus). 
B) Yes, it is a parallelogram but it is not also a rhombus. 
C) Yes, it is a parallelogram and it is also a rhombus. 
A) No, it is not a parallelogram (nor is it a rhombus). 
B) Yes, it is a parallelogram but it is not also a rhombus. 
C) Yes, it is a parallelogram and it is also a rhombus.

Question 14

Find the slope of the line containing the two points.
-(2, -4)and (-3, -4)

Accepted Answer

A)  0 
B)  $- 5$ 
C)  $\frac { 1 } { 5 }$ 
D)  undefined 
A)  0 
B)  $- 5$ 
C)  $\frac { 1 } { 5 }$ 
D)  undefined

Question 15

Find the equation of the line described, and express your answer in the specified form.
-Parallel to the line 5x + 7y = 54; passes through the point (8, 8); standard form

Accepted Answer

A)  $8 x + 7 y = 54$ 
B)  $5 x - 7 y = 96$ 
C)  $7 x + 5 y = 8$ 
D)  $5 x + 7 y = 96$ 
A)  $8 x + 7 y = 54$ 
B)  $5 x - 7 y = 96$ 
C)  $7 x + 5 y = 8$ 
D)  $5 x + 7 y = 96$

Question 16

Find the slope of the line.
-

Accepted Answer

A)  $- 6$ 
B)  $\frac { 1 } { 6 }$ 
C) $ - \frac { 1 } { 6 }$ 
D)  6 
A)  $- 6$ 
B)  $\frac { 1 } { 6 }$ 
C) $ - \frac { 1 } { 6 }$ 
D)  6

Question 17

Find the slope of the line containing the two points.
-(5, 0)and (0, 3)

Accepted Answer

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

Question 18

Find the equation of the line described, and express your answer in the specified form.
-Parallel to the line y = -3x; passes through the point (2, 3); slope-intercept form

Accepted Answer

A) y = -3x + 9 
B) y = -3x 
C) y - 3 = -3x - 2 
D) y = -3x - 9 
A) y = -3x + 9 
B) y = -3x 
C) y - 3 = -3x - 2 
D) y = -3x - 9

Question 19

Find the midpoint of the line segment joining the points A and B.
-A = (5, -9); B = (-2, -3)

Accepted Answer

A)  $\left( \frac { 3 } { 2 } , - 6 \right)$ 
B)  $\left( \frac { 7 } { 2 } , - 3 \right)$ 
C)  $( 3 , - 12 )$ 
D)  $( 7 , - 6 )$ 
A)  $\left( \frac { 3 } { 2 } , - 6 \right)$ 
B)  $\left( \frac { 7 } { 2 } , - 3 \right)$ 
C)  $( 3 , - 12 )$ 
D)  $( 7 , - 6 )$

Question 20

Find the center (h, k)and radius r of the circle. Graph the circle.
-$$x ^ { 2 } + y ^ { 2 } + 2 x + 12 y + 28 = 0$$

Accepted Answer

A)  Center $( - 1,6 ) , r = 3$
  
B)  Center $( 1,6 ) , \mathrm { r } = 3$
  
C)  Center $( 1 , - 6 ) , \mathrm { r } = 3$
  
D)  Center $( - 1 , - 6 ) , r = 3$
  
A)  Center $( - 1,6 ) , r = 3$
  
B)  Center $( 1,6 ) , \mathrm { r } = 3$
  
C)  Center $( 1 , - 6 ) , \mathrm { r } = 3$
  
D)  Center $( - 1 , - 6 ) , r = 3$

Find the slope and y-intercept of the line. -9x + y = -10

Find the center and radius of the circle with the given equation. - $x ^ { 2 } + 8 x + 16 + ( y + 9 ) ^ { 2 } = 81$

Find the slope of the line containing the two points. -(5, -3)and (6, -5)

Graph the equation by plotting intercepts. -4x + 3y = 12

Determine whether the indicated ordered pair lies on the graph of the given equation. - $y = 8 x ^ { 2 } - 1 , ( - 1,7 )$

Find the intercepts of the circle. Round to the nearest hundredth, when necessary. - $x ^ { 2 } + y ^ { 2 } = 9$

Find the distance d(A, B)between the points A and B. -A = (1, 5); B = (-3, -2)

Find the center and radius of the circle with the given equation. - $( x - 4 ) ^ { 2 } + y ^ { 2 } = 16$

Find the midpoint of the line segment joining the points A and B. -A = (7, 1); B = (-16, -16)

Sketch the graph for the equation by plotting points. -x2 + 9y = 9

Find the equation of the line passing through the indicated two points. Write the equation in slope-intercept form. -(3, -9)and (9, 7)

Use slope to determine whether the quadrilateral with the given vertices forms a parallelogram. If it is a parallelogram, determine whether it is also a rhombus. -A(-2, 4), B(1, 7), C( 3, -1), D(6, 2)

Find the slope of the line containing the two points. -(2, -4)and (-3, -4)

Find the equation of the line described, and express your answer in the specified form. -Parallel to the line 5x + 7y = 54; passes through the point (8, 8); standard form

Find the slope of the line. -

Find the slope of the line containing the two points. -(5, 0)and (0, 3)

Find the equation of the line described, and express your answer in the specified form. -Parallel to the line y = -3x; passes through the point (2, 3); slope-intercept form

Find the midpoint of the line segment joining the points A and B. -A = (5, -9); B = (-2, -3)

Find the center (h, k)and radius r of the circle. Graph the circle. - $x ^ { 2 } + y ^ { 2 } + 2 x + 12 y + 28 = 0$ $Find the center (h, k)and radius r of the circle. Graph the circle. - x ^ { 2 } + y ^ { 2 } + 2 x + 12 y + 28 = 0$

Equations, Inequalities, and Applications

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Polynomial and Rational Functions

Exponential and Logarithmic Functions and Equations

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Math Exercises: Sets, Intervals, Absolute Value, and Properties

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Exam 2: The Rectangular Coordinate System, Lines, and Circles

Find the slope and y-intercept of the line. -9x + y = -10

Find the center and radius of the circle with the given equation. - x2+8x+16+(y+9)2=81x ^ { 2 } + 8 x + 16 + ( y + 9 ) ^ { 2 } = 81x2+8x+16+(y+9)2=81

Find the slope of the line containing the two points. -(5, -3)and (6, -5)

Graph the equation by plotting intercepts. -4x + 3y = 12

Determine whether the indicated ordered pair lies on the graph of the given equation. - y=8x2−1,(−1,7)y = 8 x ^ { 2 } - 1 , ( - 1,7 )y=8x2−1,(−1,7)

Sketch the line with the given slope that passes through the indicated point. - Slope =25; line passes through the point (−8,5)\text { Slope } = \frac { 2 } { 5 } \text {; line passes through the point } ( - 8,5 ) Slope =52​; line passes through the point (−8,5)

Find the intercepts of the circle. Round to the nearest hundredth, when necessary. - x2+y2=9x ^ { 2 } + y ^ { 2 } = 9x2+y2=9

Find the distance d(A, B)between the points A and B. -A = (1, 5); B = (-3, -2)

Find the center and radius of the circle with the given equation. - (x−4)2+y2=16( x - 4 ) ^ { 2 } + y ^ { 2 } = 16(x−4)2+y2=16

Find the midpoint of the line segment joining the points A and B. -A = (7, 1); B = (-16, -16)

Sketch the graph for the equation by plotting points. -x2 + 9y = 9

Find the equation of the line passing through the indicated two points. Write the equation in slope-intercept form. -(3, -9)and (9, 7)

Use slope to determine whether the quadrilateral with the given vertices forms a parallelogram. If it is a parallelogram, determine whether it is also a rhombus. -A(-2, 4), B(1, 7), C( 3, -1), D(6, 2)

Find the slope of the line containing the two points. -(2, -4)and (-3, -4)

Find the equation of the line described, and express your answer in the specified form. -Parallel to the line 5x + 7y = 54; passes through the point (8, 8); standard form

Find the slope of the line. -

Find the slope of the line containing the two points. -(5, 0)and (0, 3)

Find the equation of the line described, and express your answer in the specified form. -Parallel to the line y = -3x; passes through the point (2, 3); slope-intercept form

Find the midpoint of the line segment joining the points A and B. -A = (5, -9); B = (-2, -3)

Find the center (h, k)and radius r of the circle. Graph the circle. - x2+y2+2x+12y+28=0x ^ { 2 } + y ^ { 2 } + 2 x + 12 y + 28 = 0x2+y2+2x+12y+28=0

Equations, Inequalities, and Applications

Functions

Polynomial and Rational Functions

Exponential and Logarithmic Functions and Equations

Conic Sections

Systems of Equations and Inequalities

Matrices

Sequences and Series; Counting and Probability

Math Exercises: Sets, Intervals, Absolute Value, and Properties

Filters

Find the center and radius of the circle with the given equation. - $x ^ { 2 } + 8 x + 16 + ( y + 9 ) ^ { 2 } = 81$

Determine whether the indicated ordered pair lies on the graph of the given equation. - $y = 8 x ^ { 2 } - 1 , ( - 1,7 )$

Find the intercepts of the circle. Round to the nearest hundredth, when necessary. - $x ^ { 2 } + y ^ { 2 } = 9$

Find the center and radius of the circle with the given equation. - $( x - 4 ) ^ { 2 } + y ^ { 2 } = 16$

Find the center (h, k)and radius r of the circle. Graph the circle. - $x ^ { 2 } + y ^ { 2 } + 2 x + 12 y + 28 = 0$ $Find the center (h, k)and radius r of the circle. Graph the circle. - x ^ { 2 } + y ^ { 2 } + 2 x + 12 y + 28 = 0$