Question 1

Sketch the line with the given slope that passes through the indicated point.
-Slope = - 1; line passes through the point (-2, -4)

Accepted Answer

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

Question 2

Find the center (h, k)and radius r of the circle. Graph the circle.
-$ x^{2}+y^{2}-8 x-4 y+11=0 $

Accepted Answer

A)  Center $( - 4,2 ) , r = 3$
  
B)  Center $( - 4 , - 2 ) , r = 3$
  
C)  Center $( 4 , - 2 ) , r = 3$
  
D)  Center $( 4,2 ) , \mathrm { r } = 3$
  
A)  Center $( - 4,2 ) , r = 3$
  
B)  Center $( - 4 , - 2 ) , r = 3$
  
C)  Center $( 4 , - 2 ) , r = 3$
  
D)  Center $( 4,2 ) , \mathrm { r } = 3$

Question 3

Sketch the graph for the equation by plotting points.
-y = 2x - 6

Accepted Answer

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

Question 4

Find the slope and y-intercept of the line.
-16x + 7y = 6

Accepted Answer

A)  slope $= \frac { 16 } { 7 } ; y$-intercept $= - \frac { 6 } { 7 }$ 
B)  slope $= \frac { 16 } { 7 } ; y$-intercept $= \frac { 6 } { 7 }$ 
C)  slope $= 16 ; y$-intercept $= 6$ 
D)  slope $= - \frac { 16 } { 7 } ; \mathrm { y } - \mathrm { intercept } = \frac { 6 } { 7 }$ 
A)  slope $= \frac { 16 } { 7 } ; y$-intercept $= - \frac { 6 } { 7 }$ 
B)  slope $= \frac { 16 } { 7 } ; y$-intercept $= \frac { 6 } { 7 }$ 
C)  slope $= 16 ; y$-intercept $= 6$ 
D)  slope $= - \frac { 16 } { 7 } ; \mathrm { y } - \mathrm { intercept } = \frac { 6 } { 7 }$

Question 5

Find the slope and y-intercept of the line.
--3x + 5y = 8

Accepted Answer

A)  slope $= \frac { 3 } { 5 } ; y$-intercept $= \frac { 8 } { 5 }$ 
B)  slope $= \frac { 5 } { 3 } ; y$-intercept $= - \frac { 8 } { 3 }$ 
C)  slope $= 3 ; y$-intercept $= 11$ 
D)  slope $= \frac { 11 } { 5 } ; y$-intercept $= \frac { 8 } { 5 }$ 
A)  slope $= \frac { 3 } { 5 } ; y$-intercept $= \frac { 8 } { 5 }$ 
B)  slope $= \frac { 5 } { 3 } ; y$-intercept $= - \frac { 8 } { 3 }$ 
C)  slope $= 3 ; y$-intercept $= 11$ 
D)  slope $= \frac { 11 } { 5 } ; y$-intercept $= \frac { 8 } { 5 }$

Question 6

Find the point-slope equation for the line with the given properties.
-Slope $= - \frac { 2 } { 5 } ;$ line passes through the point $( 4,5 )$

Accepted Answer

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

Question 7

Graph the equation.
-$ (x-2)^{2}+y^{2}=25 $

Accepted Answer

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

Question 8

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 9

Find the equation of the line described, and express your answer in the specified form.
-Parallel to the line x = 8; passes through the point (1, 9); standard form

Accepted Answer

A) x = 1 
B) y = 9 
C) x = 9 
D) y = 8 
A) x = 1 
B) y = 9 
C) x = 9 
D) y = 8

Question 10

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

Accepted Answer

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

Question 11

Write the standard form of the equation of the circle.
-Center (0, -5), r = 7

Accepted Answer

A)  $( x + 5 ) ^ { 2 } + y ^ { 2 } = 49$ 
B)  $( x - 5 ) ^ { 2 } + y ^ { 2 } = 49$ 
C)  $x ^ { 2 } + ( y + 5 ) ^ { 2 } = 49$ 
D)  $x ^ { 2 } + ( y - 5 ) ^ { 2 } = 7$ 
A)  $( x + 5 ) ^ { 2 } + y ^ { 2 } = 49$ 
B)  $( x - 5 ) ^ { 2 } + y ^ { 2 } = 49$ 
C)  $x ^ { 2 } + ( y + 5 ) ^ { 2 } = 49$ 
D)  $x ^ { 2 } + ( y - 5 ) ^ { 2 } = 7$

Question 12

Find the equation of the line passing through the indicated two points. Write the equation in slope-intercept form.
-$\left( 1 , \frac { 13 } { 42 } \right)$ and $\left( 6 , \frac { 8 } { 7 } \right)$

Accepted Answer

A)  $y = \frac { 1 } { 6 } x + \frac { 1 } { 7 }$ 
B)  $y = 6 x - \frac { 6 } { 7 }$ 
C)  $y = \frac { 1 } { 6 } x + \frac { 239 } { 252 }$ 
D)  $y = 6 x - \frac { 239 } { 42 }$ 
A)  $y = \frac { 1 } { 6 } x + \frac { 1 } { 7 }$ 
B)  $y = 6 x - \frac { 6 } { 7 }$ 
C)  $y = \frac { 1 } { 6 } x + \frac { 239 } { 252 }$ 
D)  $y = 6 x - \frac { 239 } { 42 }$

Question 13

Sketch the line with the given slope that passes through the indicated point.
-$$\text { Slope } = - \frac { 1 } { 3 } ; \text { line passes through the point } ( 0,2 )$$

Accepted Answer

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

Question 14

Find the equation of the line passing through the indicated two points in standard form.
-(4, 0)and (0, -3)

Accepted Answer

A)  $3 x + 4 y = 12$ 
B)  $y = - \frac { 3 } { 4 } x - 3$ 
C)  $y = - \frac { 3 } { 4 } x + 4$ 
D)  $3 x - 4 y = 12$ 
A)  $3 x + 4 y = 12$ 
B)  $y = - \frac { 3 } { 4 } x - 3$ 
C)  $y = - \frac { 3 } { 4 } x + 4$ 
D)  $3 x - 4 y = 12$

Question 15

Find the intercepts of the circle. Round to the nearest hundredth, when necessary.
-$$( x + 4 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 28$$

Accepted Answer

A) The two x-intercepts are x ≈8.9 and x ≈-0.9, and the two y-intercepts are y ≈1.46 and y ≈-5.46. 
B) The two x-intercepts are x ≈0.9 and x ≈-8.9, and the two y-intercepts are y ≈5.46 and y ≈-1.46. 
C) There are no intercepts. 
D) The two x-intercepts are x ≈1.66 and x ≈-9.66, and the two y-intercepts are y ≈8.63 and y ≈-4.63. 
A) The two x-intercepts are x ≈8.9 and x ≈-0.9, and the two y-intercepts are y ≈1.46 and y ≈-5.46. 
B) The two x-intercepts are x ≈0.9 and x ≈-8.9, and the two y-intercepts are y ≈5.46 and y ≈-1.46. 
C) There are no intercepts. 
D) The two x-intercepts are x ≈1.66 and x ≈-9.66, and the two y-intercepts are y ≈8.63 and y ≈-4.63.

Question 16

Find the slope of the line.
-

Accepted Answer

A) -1 
B) 6 
C) 1 
D) -6 
A) -1 
B) 6 
C) 1 
D) -6

Question 17

Determine whether the points A, B, C and D form a parallelogram.
-A(-1, 6); B(2, 9); C( 4, 1); D(7, 4)

Accepted Answer

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

Question 18

Find the slope of the line containing the two points.
-(8, -4)and (-7, 9)

Accepted Answer

A)  $- \frac { 15 } { 13 }$ 
B)  $\frac { 13 } { 15 }$ 
C)  $\frac { 15 } { 13 }$ 
D)  $- \frac { 13 } { 15 }$ 
A)  $- \frac { 15 } { 13 }$ 
B)  $\frac { 13 } { 15 }$ 
C)  $\frac { 15 } { 13 }$ 
D)  $- \frac { 13 } { 15 }$

Question 19

Find the center and radius of the circle with the given equation.
-$$( x + 5 ) ^ { 2 } + ( y - 10 ) ^ { 2 } = 144$$

Accepted Answer

A)  Center $( - 5,10 ) , \mathrm { r } = 12$ 
B)  Center $( 10 , - 5 ) , \mathrm { r } = 144$ 
C)  Center $( - 5,10 ) , \mathrm { r } = 144$ 
D)  Center $( 10 , - 5 ) , \mathrm { r } = 12$ 
A)  Center $( - 5,10 ) , \mathrm { r } = 12$ 
B)  Center $( 10 , - 5 ) , \mathrm { r } = 144$ 
C)  Center $( - 5,10 ) , \mathrm { r } = 144$ 
D)  Center $( 10 , - 5 ) , \mathrm { r } = 12$

Question 20

Determine whether the indicated ordered pair lies on the graph of the given equation.
-$$y = \sqrt { x } - 4 , ( 4,0 )$$

Accepted Answer

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

Sketch the line with the given slope that passes through the indicated point. -Slope = - 1; line passes through the point (-2, -4)

Find the center (h, k)and radius r of the circle. Graph the circle. - $x^{2}+y^{2}-8 x-4 y+11=0$ $Find the center (h, k)and radius r of the circle. Graph the circle. - x^{2}+y^{2}-8 x-4 y+11=0$

Sketch the graph for the equation by plotting points. -y = 2x - 6

Find the slope and y-intercept of the line. -16x + 7y = 6

Find the slope and y-intercept of the line. --3x + 5y = 8

Find the point-slope equation for the line with the given properties. -Slope $= - \frac { 2 } { 5 } ;$ line passes through the point $( 4,5 )$

Graph the equation. - $(x-2)^{2}+y^{2}=25$ $Graph the equation. - (x-2)^{2}+y^{2}=25$

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

Find the equation of the line described, and express your answer in the specified form. -Parallel to the line x = 8; passes through the point (1, 9); standard form

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

Write the standard form of the equation of the circle. -Center (0, -5), r = 7

Find the equation of the line passing through the indicated two points. Write the equation in slope-intercept form. - $\left( 1 , \frac { 13 } { 42 } \right)$ and $\left( 6 , \frac { 8 } { 7 } \right)$

Find the equation of the line passing through the indicated two points in standard form. -(4, 0)and (0, -3)

Find the intercepts of the circle. Round to the nearest hundredth, when necessary. - $( x + 4 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 28$

Find the slope of the line. -

Determine whether the points A, B, C and D form a parallelogram. -A(-1, 6); B(2, 9); C( 4, 1); D(7, 4)

Find the slope of the line containing the two points. -(8, -4)and (-7, 9)

Find the center and radius of the circle with the given equation. - $( x + 5 ) ^ { 2 } + ( y - 10 ) ^ { 2 } = 144$

Determine whether the indicated ordered pair lies on the graph of the given equation. - $y = \sqrt { x } - 4 , ( 4,0 )$

Equations, Inequalities, and Applications

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Polynomial and Rational Functions

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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

Sketch the line with the given slope that passes through the indicated point. -Slope = - 1; line passes through the point (-2, -4)

Find the center (h, k)and radius r of the circle. Graph the circle. - x2+y2−8x−4y+11=0 x^{2}+y^{2}-8 x-4 y+11=0 x2+y2−8x−4y+11=0

Sketch the graph for the equation by plotting points. -y = 2x - 6

Find the slope and y-intercept of the line. -16x + 7y = 6

Find the slope and y-intercept of the line. --3x + 5y = 8

Find the point-slope equation for the line with the given properties. -Slope =−25;= - \frac { 2 } { 5 } ;=−52​; line passes through the point (4,5)( 4,5 )(4,5)

Graph the equation. - (x−2)2+y2=25 (x-2)^{2}+y^{2}=25 (x−2)2+y2=25

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

Find the equation of the line described, and express your answer in the specified form. -Parallel to the line x = 8; passes through the point (1, 9); standard form

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

Write the standard form of the equation of the circle. -Center (0, -5), r = 7

Find the equation of the line passing through the indicated two points. Write the equation in slope-intercept form. - (1,1342)\left( 1 , \frac { 13 } { 42 } \right)(1,4213​) and (6,87)\left( 6 , \frac { 8 } { 7 } \right)(6,78​)

Sketch the line with the given slope that passes through the indicated point. - Slope =−13; line passes through the point (0,2)\text { Slope } = - \frac { 1 } { 3 } ; \text { line passes through the point } ( 0,2 ) Slope =−31​; line passes through the point (0,2)

Find the equation of the line passing through the indicated two points in standard form. -(4, 0)and (0, -3)

Find the intercepts of the circle. Round to the nearest hundredth, when necessary. - (x+4)2+(y−2)2=28( x + 4 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 28(x+4)2+(y−2)2=28

Find the slope of the line. -

Determine whether the points A, B, C and D form a parallelogram. -A(-1, 6); B(2, 9); C( 4, 1); D(7, 4)

Find the slope of the line containing the two points. -(8, -4)and (-7, 9)

Find the center and radius of the circle with the given equation. - (x+5)2+(y−10)2=144( x + 5 ) ^ { 2 } + ( y - 10 ) ^ { 2 } = 144(x+5)2+(y−10)2=144

Determine whether the indicated ordered pair lies on the graph of the given equation. - y=x−4,(4,0)y = \sqrt { x } - 4 , ( 4,0 )y=x​−4,(4,0)

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 (h, k)and radius r of the circle. Graph the circle. - $x^{2}+y^{2}-8 x-4 y+11=0$ $Find the center (h, k)and radius r of the circle. Graph the circle. - x^{2}+y^{2}-8 x-4 y+11=0$

Find the point-slope equation for the line with the given properties. -Slope $= - \frac { 2 } { 5 } ;$ line passes through the point $( 4,5 )$

Graph the equation. - $(x-2)^{2}+y^{2}=25$ $Graph the equation. - (x-2)^{2}+y^{2}=25$

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

Find the equation of the line passing through the indicated two points. Write the equation in slope-intercept form. - $\left( 1 , \frac { 13 } { 42 } \right)$ and $\left( 6 , \frac { 8 } { 7 } \right)$

Find the intercepts of the circle. Round to the nearest hundredth, when necessary. - $( x + 4 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 28$

Find the center and radius of the circle with the given equation. - $( x + 5 ) ^ { 2 } + ( y - 10 ) ^ { 2 } = 144$

Determine whether the indicated ordered pair lies on the graph of the given equation. - $y = \sqrt { x } - 4 , ( 4,0 )$