Question 1

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

Accepted Answer

A)  slope = 0; y-intercept = 5 
B)  slope undefined; no y-intercept 
C)  slope = 5; y-intercept = 0 
D)  slope undefined; y-intercept = 5 
A)  slope = 0; y-intercept = 5 
B)  slope undefined; no y-intercept 
C)  slope = 5; y-intercept = 0 
D)  slope undefined; y-intercept = 5

Question 2

List the intercepts of the graph.Tell whether the graph is symmetric with respect to the x-axis, y-axis, origin, or none of
these.
-  A) intercept: $( 0,3 )$
symmetric with respect to $\mathrm { y }$-axis

Accepted Answer

B)  intercept: $( 3,0 )$
symmetric with respect to $\mathrm { y }$-axis 
C)  intercept: $( 3,0 )$
symmetric with respect to $x$-axis 
D)  intercept: $( 0,3 )$
symmetric with respect to origin 
B)  intercept: $( 3,0 )$
symmetric with respect to $\mathrm { y }$-axis 
C)  intercept: $( 3,0 )$
symmetric with respect to $x$-axis 
D)  intercept: $( 0,3 )$
symmetric with respect to origin

Question 3

Find an equation for the line with the given properties.
-Parallel to the line y = 2; containing the point (8, 9)

Accepted Answer

A)  y = -9 
B)  y = 2 
C)  y = 9 
D)  y = 8 
A)  y = -9 
B)  y = 2 
C)  y = 9 
D)  y = 8

Question 4

Tell in which quadrant or on what coordinate axis the point lies.
-(-10, -6)

Accepted Answer

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

Question 5

Find the slope and y-intercept of the line.
-$$\text { Slope } = \frac { 3 } { 4 } ; \text { containing } ( 0,4 )$$

Accepted Answer

A)  -3x - 4y = 16 
B)  -3x + 4y = 16 
C)  -3x + 4y = -16 
D)  4x - 3y = -16 
A)  -3x - 4y = 16 
B)  -3x + 4y = 16 
C)  -3x + 4y = -16 
D)  4x - 3y = -16

Question 6

Find the slope and y-intercept of the line.
-$$x + y = 4$$

Accepted Answer

A)  slope $= 0 ; y$-intercept $= 4$ 
B)  slope $= - 1 ; y$-intercept $= - 4$ 
C)  slope $= - 1 ; y$-intercept $= 4$ 
D)  slope $= 1$; $\mathrm { y }$-intercept $= 4$ 
A)  slope $= 0 ; y$-intercept $= 4$ 
B)  slope $= - 1 ; y$-intercept $= - 4$ 
C)  slope $= - 1 ; y$-intercept $= 4$ 
D)  slope $= 1$; $\mathrm { y }$-intercept $= 4$

Question 7

Find the slope-intercept form of the equation of the line with the given properties.
-Horizontal; containing the point (3.5, -0.7)

Accepted Answer

A)  y = 0 
B)  y = 2.8 
C)  y = 3.5 
D)  y = -0.7 
A)  y = 0 
B)  y = 2.8 
C)  y = 3.5 
D)  y = -0.7

Question 8

Find an equation for the line, in the indicated form, with the given properties.
-Containing the points (4, -4) and (-9, 0); general form

Accepted Answer

A)  -8x + 9y = 72 
B)  -4x + 13y = -36 
C)  8x - 9y = 72 
D)  4x + 13y = -36 
A)  -8x + 9y = 72 
B)  -4x + 13y = -36 
C)  8x - 9y = 72 
D)  4x + 13y = -36

Question 9

Find the slope and y-intercept of the line.
-$$x + 2 y = 1$$

Accepted Answer

A)  slope $= - \frac { 1 } { 2 } ; \mathrm { y }$-intercept $= \frac { 1 } { 2 }$ 
B)  slope $= \frac { 1 } { 2 } ; \mathrm { y }$-intercept $= \frac { 1 } { 2 }$ 
C)  slope $= 1 ; \mathrm { y }$-intercept $= 1$ 
D)  slope $= - 2 ; y$-intercept $= 2$ 
A)  slope $= - \frac { 1 } { 2 } ; \mathrm { y }$-intercept $= \frac { 1 } { 2 }$ 
B)  slope $= \frac { 1 } { 2 } ; \mathrm { y }$-intercept $= \frac { 1 } { 2 }$ 
C)  slope $= 1 ; \mathrm { y }$-intercept $= 1$ 
D)  slope $= - 2 ; y$-intercept $= 2$

Question 10

Write the standard form of the equation of the circle with radius r and center (h, k).
-$$\mathrm { r } = 2 ; ( \mathrm { h } , \mathrm { k } ) = ( - 10 , - 7 )$$

Accepted Answer

A)  $( x + 10 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 2$ 
B)  $( x + 10 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 4$ 
C)  $( x - 10 ) ^ { 2 } + ( y - 7 ) ^ { 2 } = 2$ 
D)  $( x - 10 ) ^ { 2 } + ( y - 7 ) ^ { 2 } = 4$ 
A)  $( x + 10 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 2$ 
B)  $( x + 10 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 4$ 
C)  $( x - 10 ) ^ { 2 } + ( y - 7 ) ^ { 2 } = 2$ 
D)  $( x - 10 ) ^ { 2 } + ( y - 7 ) ^ { 2 } = 4$

Question 11

Solve the problem.
-The relationship between Celsius (°C) and Fahrenheit (°F) degrees of measuring temperature is linear. Find an equation relating °C and °F if 10°C corresponds to 50°F and 30°C corresponds to 86°F. Use the equation to find
The Celsius measure of 31° F. A) $C = \frac { 9 } { 5 } F - 80 ; - \frac { 121 } { 5 } { } ^ { \circ } \mathrm { C }$

Accepted Answer

B)  $\mathrm { C } = \frac { 5 } { 9 } \mathrm {~F} - \frac { 160 } { 9 } ; - \frac { 5 } { 9 } { } ^ { \circ } \mathrm { C }$ 
C)  $C = \frac { 5 } { 9 } F - 10 ; \frac { 65 } { 9 } { } ^ { \circ } \mathrm { C }$ 
D)  $C = \frac { 5 } { 9 } \mathrm {~F} + \frac { 160 } { 9 } ; 35 ^ { \circ } \mathrm { C }$ 
B)  $\mathrm { C } = \frac { 5 } { 9 } \mathrm {~F} - \frac { 160 } { 9 } ; - \frac { 5 } { 9 } { } ^ { \circ } \mathrm { C }$ 
C)  $C = \frac { 5 } { 9 } F - 10 ; \frac { 65 } { 9 } { } ^ { \circ } \mathrm { C }$ 
D)  $C = \frac { 5 } { 9 } \mathrm {~F} + \frac { 160 } { 9 } ; 35 ^ { \circ } \mathrm { C }$

Question 12

Decide whether or not the points are the vertices of a right triangle.
-(-1, 7), (6, 7), (6, 9)

Accepted Answer

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

Question 13

List the intercepts and type(s) of symmetry, if any.
-$$y = \frac { - x ^ { 5 } } { x ^ { 2 } - 6 }$$

Accepted Answer

A)  intercept: $( 0,0 )$
symmetric with respect to origin 
B)  intercept: $( 0,0 )$
symmetric with respect to $x$-axis 
C)  intercepts: $( \sqrt { 6 } , 0 ) , ( - \sqrt { 6 } , 0 ) , ( 0,0 )$
symmetric with respect to origin 
D)  intercept: $( 0,0 )$
symmetric with respect to $\mathrm { y }$-axis 
A)  intercept: $( 0,0 )$
symmetric with respect to origin 
B)  intercept: $( 0,0 )$
symmetric with respect to $x$-axis 
C)  intercepts: $( \sqrt { 6 } , 0 ) , ( - \sqrt { 6 } , 0 ) , ( 0,0 )$
symmetric with respect to origin 
D)  intercept: $( 0,0 )$
symmetric with respect to $\mathrm { y }$-axis

Question 14

Find the slope of the line.
-  A) $- 2$

Accepted Answer

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

Question 15

Find the center (h, k) and radius r of the circle with the given equation.
-$$4 x ^ { 2 } + 4 y ^ { 2 } - 12 x + 16 y - 5 = 0$$

Accepted Answer

A)  $( \mathrm { h } , \mathrm { k } ) = \left( \frac { 3 } { 2 } , - 2 \right) ; \mathrm { r } = \frac { \sqrt { 30 } } { 2 }$ 
B)  $( \mathrm { h } , \mathrm { k } ) = \left( - \frac { 3 } { 2 } , 2 \right) ; \mathrm { r } = \frac { 3 \sqrt { 5 } } { 2 }$ 
C)  $( \mathrm { h } , \mathrm { k } ) = \left( - \frac { 3 } { 2 } , 2 \right) ; \mathrm { r } = \frac { \sqrt { 30 } } { 2 }$ 
D)  $( \mathrm { h } , \mathrm { k } ) = \left( \frac { 3 } { 2 } , - 2 \right) ; \mathrm { r } = \frac { 3 \sqrt { 5 } } { 2 }$ 
A)  $( \mathrm { h } , \mathrm { k } ) = \left( \frac { 3 } { 2 } , - 2 \right) ; \mathrm { r } = \frac { \sqrt { 30 } } { 2 }$ 
B)  $( \mathrm { h } , \mathrm { k } ) = \left( - \frac { 3 } { 2 } , 2 \right) ; \mathrm { r } = \frac { 3 \sqrt { 5 } } { 2 }$ 
C)  $( \mathrm { h } , \mathrm { k } ) = \left( - \frac { 3 } { 2 } , 2 \right) ; \mathrm { r } = \frac { \sqrt { 30 } } { 2 }$ 
D)  $( \mathrm { h } , \mathrm { k } ) = \left( \frac { 3 } { 2 } , - 2 \right) ; \mathrm { r } = \frac { 3 \sqrt { 5 } } { 2 }$

Question 16

Solve the problem.
-If (a, 3) is a point on the graph of y = 2x - 5, what is a?

Accepted Answer

A)  -1 
B)  -4 
C)  4 
D)  1 
A)  -1 
B)  -4 
C)  4 
D)  1

Question 17

Find an equation for the line with the given properties.
-Perpendicular to the line y = -3x + 4; containing the point (-4, 3) A) $y = \frac { 1 } { 3 } x + \frac { 13 } { 3 }$

Accepted Answer

B)  $y = 3 x + \frac { 13 } { 3 }$ 
C)  $y = - \frac { 1 } { 3 } x + \frac { 13 } { 3 }$ 
D)  $y = - 3 x + \frac { 13 } { 3 }$ 
B)  $y = 3 x + \frac { 13 } { 3 }$ 
C)  $y = - \frac { 1 } { 3 } x + \frac { 13 } { 3 }$ 
D)  $y = - 3 x + \frac { 13 } { 3 }$

Question 18

List the intercepts for the graph of the equation.
-y = x - 6

Accepted Answer

A)  (6, 0), (0, -6) 
B)  (6, 0), (0, 6) 
C)  (-6, 0), (0, 6) 
D)  (-6, 0), (0, -6) 
A)  (6, 0), (0, -6) 
B)  (6, 0), (0, 6) 
C)  (-6, 0), (0, 6) 
D)  (-6, 0), (0, -6)

Question 19

Graph the line containing the point P and having slope m.
-$P=(3,0) ; m=-1$

A)

Accepted Answer

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

Question 20

Find the slope-intercept form of the equation of the line with the given properties.
-Slope = 0; containing the point (4, -5)

Accepted Answer

A)  y = 4 
B)  x = -5 
C)  x = 4 
D)  y = -5 
A)  y = 4 
B)  x = -5 
C)  x = 4 
D)  y = -5

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

Find an equation for the line with the given properties. -Parallel to the line y = 2; containing the point (8, 9)

Tell in which quadrant or on what coordinate axis the point lies. -(-10, -6)

Find the slope and y-intercept of the line. - $\text { Slope } = \frac { 3 } { 4 } ; \text { containing } ( 0,4 )$

Find the slope and y-intercept of the line. - $x + y = 4$

Find the slope-intercept form of the equation of the line with the given properties. -Horizontal; containing the point (3.5, -0.7)

Find an equation for the line, in the indicated form, with the given properties. -Containing the points (4, -4) and (-9, 0); general form

Find the slope and y-intercept of the line. - $x + 2 y = 1$

Write the standard form of the equation of the circle with radius r and center (h, k). - $\mathrm { r } = 2 ; ( \mathrm { h } , \mathrm { k } ) = ( - 10 , - 7 )$

Decide whether or not the points are the vertices of a right triangle. -(-1, 7), (6, 7), (6, 9)

List the intercepts and type(s) of symmetry, if any. - $y = \frac { - x ^ { 5 } } { x ^ { 2 } - 6 }$

Find the slope of the line. - $Find the slope of the line. - A) - 2 B) 2 C) - \frac { 1 } { 2 } D) \frac { 1 } { 2 }$ A) $- 2$ B) 2 C) $- \frac { 1 } { 2 }$ D) $\frac { 1 } { 2 }$

Find the center (h, k) and radius r of the circle with the given equation. - $4 x ^ { 2 } + 4 y ^ { 2 } - 12 x + 16 y - 5 = 0$

Solve the problem. -If (a, 3) is a point on the graph of y = 2x - 5, what is a?

Find an equation for the line with the given properties. -Perpendicular to the line y = -3x + 4; containing the point (-4, 3) A) $y = \frac { 1 } { 3 } x + \frac { 13 } { 3 }$ B) $y = 3 x + \frac { 13 } { 3 }$ C) $y = - \frac { 1 } { 3 } x + \frac { 13 } { 3 }$ D) $y = - 3 x + \frac { 13 } { 3 }$

List the intercepts for the graph of the equation. -y = x - 6

Graph the line containing the point P and having slope m. - $P=(3,0) ; m=-1$ A) B) C) D)

Find the slope-intercept form of the equation of the line with the given properties. -Slope = 0; containing the point (4, -5)

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Exam 14: Review