Question 1

Plot the ordered pair in the Cartesian plane, and state in which quadrant or on which axis it lies.
-(-4, 6)

Accepted Answer

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

Question 2

Write the standard form of the equation of the circle.
-The endpoints of a diameter are (3, 6)and (7, 6).

Accepted Answer

A)  $( x - 5 ) ^ { 2 } + ( y - 6 ) ^ { 2 } = 4$ 
B)  $( x + 5 ) ^ { 2 } + ( y + 6 ) ^ { 2 } = 4$ 
C)  $( x - 5 ) ^ { 2 } + ( y - 6 ) ^ { 2 } = 2$ 
D)  $( x + 5 ) ^ { 2 } + ( y + 6 ) ^ { 2 } = 2$ 
A)  $( x - 5 ) ^ { 2 } + ( y - 6 ) ^ { 2 } = 4$ 
B)  $( x + 5 ) ^ { 2 } + ( y + 6 ) ^ { 2 } = 4$ 
C)  $( x - 5 ) ^ { 2 } + ( y - 6 ) ^ { 2 } = 2$ 
D)  $( x + 5 ) ^ { 2 } + ( y + 6 ) ^ { 2 } = 2$

Question 3

Sketch the line with the given slope that passes through the indicated point.
-$$\text { Slope } = \frac { 4 } { 5 } ; \text { line passes through the point } ( 0,4 )$$

Accepted Answer

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

Question 4

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

Accepted Answer

A)  $( 4,6 )$ 
B)  $( 6,4 )$ 
C)  $( 12,8 )$ 
D)  $( - 6,2 )$ 
A)  $( 4,6 )$ 
B)  $( 6,4 )$ 
C)  $( 12,8 )$ 
D)  $( - 6,2 )$

Question 5

Decide whether the pair of lines is parallel, perpendicular, or neither.
-3x - 2y = 14 2x + 3y = -4

Accepted Answer

A) parallel 
B) perpendicular 
C) neither 
A) parallel 
B) perpendicular 
C) neither

Question 6

Find the equation of the line passing through the indicated two points. Write the equation in slope-intercept form.
-(6, 1)and (-5, -9)

Accepted Answer

A)  $y = - \frac { 5 } { 4 } x - \frac { 11 } { 4 }$ 
B)  $y = \frac { 5 } { 4 } x - \frac { 11 } { 4 }$ 
C)  $y = \frac { 10 } { 11 } x - \frac { 49 } { 11 }$ 
D)  $y = - \frac { 10 } { 11 } x - \frac { 49 } { 11 }$ 
A)  $y = - \frac { 5 } { 4 } x - \frac { 11 } { 4 }$ 
B)  $y = \frac { 5 } { 4 } x - \frac { 11 } { 4 }$ 
C)  $y = \frac { 10 } { 11 } x - \frac { 49 } { 11 }$ 
D)  $y = - \frac { 10 } { 11 } x - \frac { 49 } { 11 }$

Question 7

Find the distance d(A, B)between the points A and B.
-A = (4, 2); B = (1, 6)

Accepted Answer

A) 10 
B) 5 
C) 25 
D) 6 
A) 10 
B) 5 
C) 25 
D) 6

Question 8

Determine whether the points A, B, C and D form a parallelogram.
-A(-2, 10); B(1, 9); C(3, 1); D(6, 4)

Accepted Answer

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

Question 9

Find the slope-intercept form of the equation of the line with the given properties.
-Slope = 6; y-intercept = 8

Accepted Answer

A) y = 6x - 8 
B) y = 8x - 6 
C) y = 6x + 8 
D) y = 8x + 6 
A) y = 6x - 8 
B) y = 8x - 6 
C) y = 6x + 8 
D) y = 8x + 6

Question 10

Find the point-slope equation for the line with the given properties.
-Slope $= \frac { 5 } { 2 } ;$ line passes through the point $( - 3,5 )$

Accepted Answer

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

Question 11

Determine whether the points A, B, and C form a right triangle.
-A = (-6, -7); B = (0, -5); C = (-1, -10)

Accepted Answer

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

Question 12

Sketch the graph for the equation by plotting points.
-y = x + 3

Accepted Answer

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

Question 13

Find the equation of the line described, and express your answer in the specified form.
-Perpendicular to the line -7x - 8y = 37; passes through the point (-3, 2); standard form

Accepted Answer

A)  $- 3 x + 8 y = 37$ 
B)  $8 x + 7 y = - 38$ 
C)  $8 x - 7 y = - 38$ 
D)  $- 7 x + 8 = - 7$ 
A)  $- 3 x + 8 y = 37$ 
B)  $8 x + 7 y = - 38$ 
C)  $8 x - 7 y = - 38$ 
D)  $- 7 x + 8 = - 7$

Question 14

Sketch the graph for the equation by plotting points.
-4x + 2y = 8

Accepted Answer

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

Question 15

Find the slope of the line containing the two points.
-(-5, -3)and (-5, -2)

Accepted Answer

A) - 1 
B) 1 
C) 0 
D) undefined 
A) - 1 
B) 1 
C) 0 
D) undefined

Question 16

Find the equation of the line passing through the indicated two points. Write the equation in point-slope form.
-(-7, 8)and (4, -8)

Accepted Answer

A)  $y + 8 = - \frac { 16 } { 11 } ( x - 7 )$ or $y - 8 = - \frac { 16 } { 11 } ( x + 4 )$ 
B)  $y - 8 = \frac { 5 } { 4 } ( x + 7 )$ or $y + 8 = \frac { 5 } { 4 } ( x - 4 )$ 
C)  $y - 8 = - \frac { 16 } { 11 } ( x + 7 )$ or $y + 8 = - \frac { 16 } { 11 } ( x - 4 )$ 
D)  $y + 8 = \frac { 5 } { 4 } ( x - 7 )$ or $y - 8 = \frac { 5 } { 4 } ( x + 4 )$ 
A)  $y + 8 = - \frac { 16 } { 11 } ( x - 7 )$ or $y - 8 = - \frac { 16 } { 11 } ( x + 4 )$ 
B)  $y - 8 = \frac { 5 } { 4 } ( x + 7 )$ or $y + 8 = \frac { 5 } { 4 } ( x - 4 )$ 
C)  $y - 8 = - \frac { 16 } { 11 } ( x + 7 )$ or $y + 8 = - \frac { 16 } { 11 } ( x - 4 )$ 
D)  $y + 8 = \frac { 5 } { 4 } ( x - 7 )$ or $y - 8 = \frac { 5 } { 4 } ( x + 4 )$

Question 17

Find the slope-intercept form of the equation of the line with the given properties.
-Find the equation of the vertical line passing through the point (4, -1).

Accepted Answer

A) y = -1 
B) x = -1 
C) x = 4 
D) y = 4 
A) y = -1 
B) x = -1 
C) x = 4 
D) y = 4

Question 18

Find the equation of the line passing through the indicated two points. Write the equation in point-slope form.
-(5, -6)and (7, 1)

Accepted Answer

A)  $y + 6 = - \frac { 11 } { 6 } ( x - 5 )$ or $y - 1 = - \frac { 11 } { 6 } ( x - 7 )$ 
B)  $y + 6 = \frac { 7 } { 2 } ( x - 5 )$ or $y - 1 = \frac { 7 } { 2 } ( x - 7 )$ 
C)  $y - 6 = \frac { 7 } { 2 } ( x + 5 )$ or $y + 1 = \frac { 7 } { 2 } ( x + 7 )$ 
D)  $y + 6 = \frac { 11 } { 6 } ( x - 5 )$ or $y - 1 = \frac { 11 } { 6 } ( x - 7 )$ 
A)  $y + 6 = - \frac { 11 } { 6 } ( x - 5 )$ or $y - 1 = - \frac { 11 } { 6 } ( x - 7 )$ 
B)  $y + 6 = \frac { 7 } { 2 } ( x - 5 )$ or $y - 1 = \frac { 7 } { 2 } ( x - 7 )$ 
C)  $y - 6 = \frac { 7 } { 2 } ( x + 5 )$ or $y + 1 = \frac { 7 } { 2 } ( x + 7 )$ 
D)  $y + 6 = \frac { 11 } { 6 } ( x - 5 )$ or $y - 1 = \frac { 11 } { 6 } ( x - 7 )$

Question 19

Find the distance d(A, B)between the points A and B.
-A = (-3, -4); B = (3, -6)

Accepted Answer

A)  $32 \sqrt { 2 }$ 
B)  8 
C)  32 
D)  $2 \sqrt { 10 }$ 
A)  $32 \sqrt { 2 }$ 
B)  8 
C)  32 
D)  $2 \sqrt { 10 }$

Question 20

Find the equation of the line passing through the indicated two points in standard form.
-(-4, 0)and (5, 7)

Accepted Answer

A)  $4 x + 2 y = 6$ 
B)  $7 x - 9 y = - 28$ 
C)  $- 7 x - 9 y = - 28$ 
D)  $- 4 x - 2 y = 6$ 
A)  $4 x + 2 y = 6$ 
B)  $7 x - 9 y = - 28$ 
C)  $- 7 x - 9 y = - 28$ 
D)  $- 4 x - 2 y = 6$

Plot the ordered pair in the Cartesian plane, and state in which quadrant or on which axis it lies. -(-4, 6)

Write the standard form of the equation of the circle. -The endpoints of a diameter are (3, 6)and (7, 6).

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

Decide whether the pair of lines is parallel, perpendicular, or neither. -3x - 2y = 14 2x + 3y = -4

Find the equation of the line passing through the indicated two points. Write the equation in slope-intercept form. -(6, 1)and (-5, -9)

Find the distance d(A, B)between the points A and B. -A = (4, 2); B = (1, 6)

Determine whether the points A, B, C and D form a parallelogram. -A(-2, 10); B(1, 9); C(3, 1); D(6, 4)

Find the slope-intercept form of the equation of the line with the given properties. -Slope = 6; y-intercept = 8

Find the point-slope equation for the line with the given properties. -Slope $= \frac { 5 } { 2 } ;$ line passes through the point $( - 3,5 )$

Determine whether the points A, B, and C form a right triangle. -A = (-6, -7); B = (0, -5); C = (-1, -10)

Sketch the graph for the equation by plotting points. -y = x + 3

Find the equation of the line described, and express your answer in the specified form. -Perpendicular to the line -7x - 8y = 37; passes through the point (-3, 2); standard form

Sketch the graph for the equation by plotting points. -4x + 2y = 8

Find the slope of the line containing the two points. -(-5, -3)and (-5, -2)

Find the equation of the line passing through the indicated two points. Write the equation in point-slope form. -(-7, 8)and (4, -8)

Find the slope-intercept form of the equation of the line with the given properties. -Find the equation of the vertical line passing through the point (4, -1).

Find the equation of the line passing through the indicated two points. Write the equation in point-slope form. -(5, -6)and (7, 1)

Find the distance d(A, B)between the points A and B. -A = (-3, -4); B = (3, -6)

Find the equation of the line passing through the indicated two points in standard form. -(-4, 0)and (5, 7)

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

Plot the ordered pair in the Cartesian plane, and state in which quadrant or on which axis it lies. -(-4, 6)

Write the standard form of the equation of the circle. -The endpoints of a diameter are (3, 6)and (7, 6).

Sketch the line with the given slope that passes through the indicated point. - Slope =45; line passes through the point (0,4)\text { Slope } = \frac { 4 } { 5 } ; \text { line passes through the point } ( 0,4 ) Slope =54​; line passes through the point (0,4)

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

Decide whether the pair of lines is parallel, perpendicular, or neither. -3x - 2y = 14 2x + 3y = -4

Find the equation of the line passing through the indicated two points. Write the equation in slope-intercept form. -(6, 1)and (-5, -9)

Find the distance d(A, B)between the points A and B. -A = (4, 2); B = (1, 6)

Determine whether the points A, B, C and D form a parallelogram. -A(-2, 10); B(1, 9); C(3, 1); D(6, 4)

Find the slope-intercept form of the equation of the line with the given properties. -Slope = 6; y-intercept = 8

Find the point-slope equation for the line with the given properties. -Slope =52;= \frac { 5 } { 2 } ;=25​; line passes through the point (−3,5)( - 3,5 )(−3,5)

Determine whether the points A, B, and C form a right triangle. -A = (-6, -7); B = (0, -5); C = (-1, -10)

Sketch the graph for the equation by plotting points. -y = x + 3

Find the equation of the line described, and express your answer in the specified form. -Perpendicular to the line -7x - 8y = 37; passes through the point (-3, 2); standard form

Sketch the graph for the equation by plotting points. -4x + 2y = 8

Find the slope of the line containing the two points. -(-5, -3)and (-5, -2)

Find the equation of the line passing through the indicated two points. Write the equation in point-slope form. -(-7, 8)and (4, -8)

Find the slope-intercept form of the equation of the line with the given properties. -Find the equation of the vertical line passing through the point (4, -1).

Find the equation of the line passing through the indicated two points. Write the equation in point-slope form. -(5, -6)and (7, 1)

Find the distance d(A, B)between the points A and B. -A = (-3, -4); B = (3, -6)

Find the equation of the line passing through the indicated two points in standard form. -(-4, 0)and (5, 7)

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 point-slope equation for the line with the given properties. -Slope $= \frac { 5 } { 2 } ;$ line passes through the point $( - 3,5 )$