Question 1

Find the equation of the line passing through the indicated two points in standard form.
-(3, -7)and (-2, 5)

Accepted Answer

A)  $12 x + 5 y = 1$ 
B)  $- 10 x + 7 y = - 15$ 
C)  $- 12 x + 5 y = 1$ 
D)  $10 x - 7 y = - 15$ 
A)  $12 x + 5 y = 1$ 
B)  $- 10 x + 7 y = - 15$ 
C)  $- 12 x + 5 y = 1$ 
D)  $10 x - 7 y = - 15$

Question 2

Graph the equation.
-$$x ^ { 2 } + y ^ { 2 } = 9$$

Accepted Answer

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

Question 3

Determine whether the indicated ordered pair lies on the graph of the given equation.
-y = |x|, (3, -3)

Accepted Answer

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

Question 4

Plot the ordered pair in the Cartesian plane, and state in which quadrant or on which axis it lies.
-(-1, -5)

Accepted Answer

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

Question 5

Choose the appropriate response.
-Perpendicular lines .

Accepted Answer

A) have slopes that are negative reciprocals of each other 
B) have the same slope 
C) have opposite slopes 
D) always intersect at a 45° angle 
A) have slopes that are negative reciprocals of each other 
B) have the same slope 
C) have opposite slopes 
D) always intersect at a 45° angle

Question 6

Find the equation of the line described, and express your answer in the specified form.
-$$y = \frac { 1 } { 4 } x + 7$$ Perpendicular to the line y ; passes through the point (5, -4); slope-intercept form

Accepted Answer

A)  $y = - 4 x + 16$ 
B)  $y = - 4 x - 16$ 
C)  $y = - \frac { 1 } { 4 } x - 4$ 
D)  $y = 4 x - 16$ 
A)  $y = - 4 x + 16$ 
B)  $y = - 4 x - 16$ 
C)  $y = - \frac { 1 } { 4 } x - 4$ 
D)  $y = 4 x - 16$

Question 7

Find the slope of the line determined by the given equation and then sketch the line.
-3x + 5y = 16

Accepted Answer

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

Question 8

Find the slope and y-intercept of the line.
-2x - 3y = 6

Accepted Answer

A)  slope $= \frac { 2 } { 3 } ; y$-intercept $= - 2$ 
B)  slope $= 2 ; y$-intercept $= 6$ 
C)  slope $= \frac { 3 } { 2 } ; y - i n t e r c e p t = 3$ 
D)  slope $= - \frac { 2 } { 3 } ; y - i n t e r c e p t = 2$ 
A)  slope $= \frac { 2 } { 3 } ; y$-intercept $= - 2$ 
B)  slope $= 2 ; y$-intercept $= 6$ 
C)  slope $= \frac { 3 } { 2 } ; y - i n t e r c e p t = 3$ 
D)  slope $= - \frac { 2 } { 3 } ; y - i n t e r c e p t = 2$

Question 9

Find the distance d(A, B)between the points A and B.
-A = (0, -2); B = (-7, -2)

Accepted Answer

A) 7 
B)  $\sqrt { 53 }$ 
C) 2 
D) 49 
A) 7 
B)  $\sqrt { 53 }$ 
C) 2 
D) 49

Question 10

Determine whether the indicated ordered pair lies on the graph of the given equation.
-$$y = 9 x ^ { 2 } + 1 , ( - 1 , - 8 )$$

Accepted Answer

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

Question 11

Find the equation of the line passing through the indicated two points in standard form.
-(9, -2)and (5, 1)

Accepted Answer

A)  $11 x + 4 y = - 51$ 
B)  $- 3 x + 4 y = 19$ 
C)  $- 11 x - 4 y = - 51$ 
D)  $3 x + 4 y = 19$ 
A)  $11 x + 4 y = - 51$ 
B)  $- 3 x + 4 y = 19$ 
C)  $- 11 x - 4 y = - 51$ 
D)  $3 x + 4 y = 19$

Question 12

Find the equation of the line described, and express your answer in the specified form.
-Parallel to the line x - 2y = 3; passes through the point (0, 0); slope-intercept form

Accepted Answer

A)  $y = \frac { 1 } { 2 } x$ 
B)  $y = - \frac { 1 } { 2 } x$ 
C)  $y = \frac { 1 } { 2 } x + 3$ 
D)  $y = - 1$ 
A)  $y = \frac { 1 } { 2 } x$ 
B)  $y = - \frac { 1 } { 2 } x$ 
C)  $y = \frac { 1 } { 2 } x + 3$ 
D)  $y = - 1$

Question 13

Find the equation of the line described, and express your answer in the specified form.
-Perpendicular to the line -5x + 7y = 54; passes through the point (-8, 9); standard form

Accepted Answer

A)  $7 x + 5 y = - 11$ 
B)  $7 x - 5 y = 54$ 
C)  $7 x - 5 y = - 11$ 
D)  $- 5 x - 7 y = - 11$ 
A)  $7 x + 5 y = - 11$ 
B)  $7 x - 5 y = 54$ 
C)  $7 x - 5 y = - 11$ 
D)  $- 5 x - 7 y = - 11$

Question 14

Sketch the line with the given slope that passes through the indicated point.
-Slope = 0; line passes through the point (8, -4)

Accepted Answer

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

Question 15

Find the distance d(A, B)between the points A and B.
-A = (0, 0); B = (-2, 5)

Accepted Answer

A)  $\sqrt { 29 }$ 
B)  $\sqrt { 7 }$ 
C)  3 
D)  29 
A)  $\sqrt { 29 }$ 
B)  $\sqrt { 7 }$ 
C)  3 
D)  29

Question 16

Find the equation of the line described, and express your answer in the specified form.
-Parallel to the line y = 9; passes through the point (7, 5); standard form

Accepted Answer

A) y = 5 
B) y = 7 
C) y = -5 
D) y = 9 
A) y = 5 
B) y = 7 
C) y = -5 
D) y = 9

Question 17

Determine whether the points A, B, and C form a right triangle.
-A = (-8, 3); B = (-5, 3); C = (-5, 12)

Accepted Answer

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

Question 18

Find the equation of the line passing through the indicated two points. Write the equation in point-slope form.
-(-4, -8)and (2, 16)

Accepted Answer

A) y - 8 = 4(x - 4)or y - 16 = 4(x - 2) 
B) y + 8 = 4(x - 4)or y - 16 = 4(x + 2) 
C) y - 8 = 4(x - 4)or y + 16 = 4(x + 2) 
D) y + 8 = 4(x + 4)or y - 16 = 4(x - 2) 
A) y - 8 = 4(x - 4)or y - 16 = 4(x - 2) 
B) y + 8 = 4(x - 4)or y - 16 = 4(x + 2) 
C) y - 8 = 4(x - 4)or y + 16 = 4(x + 2) 
D) y + 8 = 4(x + 4)or y - 16 = 4(x - 2)

Question 19

Find the equation of the line passing through the indicated two points. Write the equation in slope-intercept form.
-$\left( - \frac { 1 } { 3 } , \frac { 2 } { 3 } \right)$ and $\left( \frac { 1 } { 3 } , \frac { 7 } { 3 } \right)$

Accepted Answer

A)  $y = 5 x + 9$ 
B)  $y = \frac { 5 } { 2 } x + \frac { 3 } { 2 }$ 
C)  $y = \frac { 5 } { 2 } x$ 
D)  $y = \frac { 5 } { 2 } x - \frac { 5 } { 6 }$ 
A)  $y = 5 x + 9$ 
B)  $y = \frac { 5 } { 2 } x + \frac { 3 } { 2 }$ 
C)  $y = \frac { 5 } { 2 } x$ 
D)  $y = \frac { 5 } { 2 } x - \frac { 5 } { 6 }$

Question 20

Find the center and radius of the circle with the given equation.
-$$x ^ { 2 } + ( y + 4 ) ^ { 2 } = 25$$

Accepted Answer

A)  Center $( - 4,0 ) , r = 5$ 
B)  Center $( 0 , - 4 ) , r = 5$ 
C)  Center $( 0 , - 4 ) , \mathrm { r } = 25$ 
D)  Center $( - 4,0 ) , \mathrm { r } = 25$ 
A)  Center $( - 4,0 ) , r = 5$ 
B)  Center $( 0 , - 4 ) , r = 5$ 
C)  Center $( 0 , - 4 ) , \mathrm { r } = 25$ 
D)  Center $( - 4,0 ) , \mathrm { r } = 25$

Find the equation of the line passing through the indicated two points in standard form. -(3, -7)and (-2, 5)

Graph the equation. - $x ^ { 2 } + y ^ { 2 } = 9$ $Graph the equation. - x ^ { 2 } + y ^ { 2 } = 9$

Determine whether the indicated ordered pair lies on the graph of the given equation. -y = |x|, (3, -3)

Plot the ordered pair in the Cartesian plane, and state in which quadrant or on which axis it lies. -(-1, -5)

Choose the appropriate response. -Perpendicular lines .

Find the equation of the line described, and express your answer in the specified form. - $y = \frac { 1 } { 4 } x + 7$ Perpendicular to the line y ; passes through the point (5, -4); slope-intercept form

Find the slope of the line determined by the given equation and then sketch the line. -3x + 5y = 16

Find the slope and y-intercept of the line. -2x - 3y = 6

Find the distance d(A, B)between the points A and B. -A = (0, -2); B = (-7, -2)

Determine whether the indicated ordered pair lies on the graph of the given equation. - $y = 9 x ^ { 2 } + 1 , ( - 1 , - 8 )$

Find the equation of the line passing through the indicated two points in standard form. -(9, -2)and (5, 1)

Find the equation of the line described, and express your answer in the specified form. -Parallel to the line x - 2y = 3; passes through the point (0, 0); slope-intercept form

Find the equation of the line described, and express your answer in the specified form. -Perpendicular to the line -5x + 7y = 54; passes through the point (-8, 9); standard form

Sketch the line with the given slope that passes through the indicated point. -Slope = 0; line passes through the point (8, -4)

Find the distance d(A, B)between the points A and B. -A = (0, 0); B = (-2, 5)

Find the equation of the line described, and express your answer in the specified form. -Parallel to the line y = 9; passes through the point (7, 5); standard form

Determine whether the points A, B, and C form a right triangle. -A = (-8, 3); B = (-5, 3); C = (-5, 12)

Find the equation of the line passing through the indicated two points. Write the equation in point-slope form. -(-4, -8)and (2, 16)

Find the equation of the line passing through the indicated two points. Write the equation in slope-intercept form. - $\left( - \frac { 1 } { 3 } , \frac { 2 } { 3 } \right)$ and $\left( \frac { 1 } { 3 } , \frac { 7 } { 3 } \right)$

Find the center and radius of the circle with the given equation. - $x ^ { 2 } + ( y + 4 ) ^ { 2 } = 25$

Equations, Inequalities, and Applications

Functions

Polynomial and Rational Functions

Exponential and Logarithmic Functions and Equations

Conic Sections

Systems of Equations and Inequalities

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Sequences and Series; Counting and Probability

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

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

Find the equation of the line passing through the indicated two points in standard form. -(3, -7)and (-2, 5)

Graph the equation. - x2+y2=9x ^ { 2 } + y ^ { 2 } = 9x2+y2=9

Determine whether the indicated ordered pair lies on the graph of the given equation. -y = |x|, (3, -3)

Plot the ordered pair in the Cartesian plane, and state in which quadrant or on which axis it lies. -(-1, -5)

Choose the appropriate response. -Perpendicular lines .

Find the equation of the line described, and express your answer in the specified form. - y=14x+7y = \frac { 1 } { 4 } x + 7y=41​x+7 Perpendicular to the line y ; passes through the point (5, -4); slope-intercept form

Find the slope of the line determined by the given equation and then sketch the line. -3x + 5y = 16

Find the slope and y-intercept of the line. -2x - 3y = 6

Find the distance d(A, B)between the points A and B. -A = (0, -2); B = (-7, -2)

Determine whether the indicated ordered pair lies on the graph of the given equation. - y=9x2+1,(−1,−8)y = 9 x ^ { 2 } + 1 , ( - 1 , - 8 )y=9x2+1,(−1,−8)

Find the equation of the line passing through the indicated two points in standard form. -(9, -2)and (5, 1)

Find the equation of the line described, and express your answer in the specified form. -Parallel to the line x - 2y = 3; passes through the point (0, 0); slope-intercept form

Find the equation of the line described, and express your answer in the specified form. -Perpendicular to the line -5x + 7y = 54; passes through the point (-8, 9); standard form

Sketch the line with the given slope that passes through the indicated point. -Slope = 0; line passes through the point (8, -4)

Find the distance d(A, B)between the points A and B. -A = (0, 0); B = (-2, 5)

Find the equation of the line described, and express your answer in the specified form. -Parallel to the line y = 9; passes through the point (7, 5); standard form

Determine whether the points A, B, and C form a right triangle. -A = (-8, 3); B = (-5, 3); C = (-5, 12)

Find the equation of the line passing through the indicated two points. Write the equation in point-slope form. -(-4, -8)and (2, 16)

Find the equation of the line passing through the indicated two points. Write the equation in slope-intercept form. - (−13,23)\left( - \frac { 1 } { 3 } , \frac { 2 } { 3 } \right)(−31​,32​) and (13,73)\left( \frac { 1 } { 3 } , \frac { 7 } { 3 } \right)(31​,37​)

Find the center and radius of the circle with the given equation. - x2+(y+4)2=25x ^ { 2 } + ( y + 4 ) ^ { 2 } = 25x2+(y+4)2=25

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

Graph the equation. - $x ^ { 2 } + y ^ { 2 } = 9$ $Graph the equation. - x ^ { 2 } + y ^ { 2 } = 9$

Find the equation of the line described, and express your answer in the specified form. - $y = \frac { 1 } { 4 } x + 7$ Perpendicular to the line y ; passes through the point (5, -4); slope-intercept form

Determine whether the indicated ordered pair lies on the graph of the given equation. - $y = 9 x ^ { 2 } + 1 , ( - 1 , - 8 )$

Find the equation of the line passing through the indicated two points. Write the equation in slope-intercept form. - $\left( - \frac { 1 } { 3 } , \frac { 2 } { 3 } \right)$ and $\left( \frac { 1 } { 3 } , \frac { 7 } { 3 } \right)$

Find the center and radius of the circle with the given equation. - $x ^ { 2 } + ( y + 4 ) ^ { 2 } = 25$