Question 1

Graph the inequality. $$2 x \leq - 3 y - 12$$

Accepted Answer

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

Question 2

Find the equation of the line that contains the two given points. $( 3,1 ) , ( 6,6 )$

Accepted Answer

A) 3 y + 5 x = -12 
B) 5 x - 3 y = -12 
C) 3 y - 5 x = -12 
D) 3 y - 5 x = 18 
E) 3 y + 5 x = 18 
A) 3 y + 5 x = -12 
B) 5 x - 3 y = -12 
C) 3 y - 5 x = -12 
D) 3 y - 5 x = 18 
E) 3 y + 5 x = 18 C

Question 3

Find the equation of the line with the given slope and y -intercept. Leave your answer in slope-intercept form. $m = \frac { 2 } { 3 } \text { and } b = 4$

Accepted Answer

$y = \frac { 2 } { 3 } x + 4$

Question 4

If the ratio of rise to run is to be $\frac { 2 } { 3 }$ for some stairs and the measure of the run is 24 centimeters, find the measure of the rise to the nearest centimeter.

Accepted Answer

A) 36 cm 
B) 15 cm 
C) 16 cm 
D) 26 cm 
E) 31 cm 
A) 36 cm 
B) 15 cm 
C) 16 cm 
D) 26 cm 
E) 31 cm

Question 5

Graph the equation. $2 y ^ { 2 } = x ^ { 3 }$

Accepted Answer

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

Question 6

Use the point-slope form to write an equation of the line with the slope 5 and that passes through the point (7, 9).

Accepted Answer

A) y + 7 = 5( x - 9) 
B) y - 9 = 5( x + 7) 
C) y + 9 = 5( x - 7) 
D) y - 9 = 5( x - 7) 
E) y - 7 = 5( x - 9) 
A) y + 7 = 5( x - 9) 
B) y - 9 = 5( x + 7) 
C) y + 9 = 5( x - 7) 
D) y - 9 = 5( x - 7) 
E) y - 7 = 5( x - 9)

Question 7

Find the coordinates of the given point:

Accepted Answer

A) (4, 4) 
B) (4, -4) 
C) (-4, 4) 
D) (-4, -4) 
A) (4, 4) 
B) (4, -4) 
C) (-4, 4) 
D) (-4, -4)

Question 8

Graph the linear equation. Label the intercepts on the graph. $$x + y = 5$$

Accepted Answer

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

Question 9

Find the distance between the two points. (1, 10)and (9, 2)

Accepted Answer

A) 8 
B) 16 
C)  $8 \sqrt { 2 }$ 
D) 9 
E)  $\sqrt { 16 }$ 
A) 8 
B) 16 
C)  $8 \sqrt { 2 }$ 
D) 9 
E)  $\sqrt { 16 }$

Question 10

Graph the linear equation. Label the intercepts on the graph. $$4 x - y = 2$$

Accepted Answer

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

Question 11

Tell whether the graphs of the following pair of equations are parallel , perpendicular , or neither . $y = 4 x - 14 , y = \frac { 1 } { 4 } x + 27$

Accepted Answer

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

Question 12

Find the equation of the line with the given slope and y -intercept. m = 2, b = -7

Accepted Answer

A) y = 7 x + 2 
B) y = 2 x + 7 
C) y = 7 x - 2 
D) y = 2 x - 7 
E) y = -7 x + 2 
A) y = 7 x + 2 
B) y = 2 x + 7 
C) y = 7 x - 2 
D) y = 2 x - 7 
E) y = -7 x + 2

Question 13

Tell whether the lines with the given slopes are parallel, perpendicular, or neither. $m _ { 1 } = 5 , m _ { 2 } = - \frac { 1 } { 5 }$

Accepted Answer

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

Question 14

Find the equation of the line that contains the two given points. $( - 2,0 ) , ( 0 , - 5 )$

Accepted Answer

A) 2 y + 5 x = -10 
B) 2 y + 5 x = 10 
C) 2 y - 5 x = -5 
D) 2 y - 5 x = -10 
E) 2 y - 5 x = 10 
A) 2 y + 5 x = -10 
B) 2 y + 5 x = 10 
C) 2 y - 5 x = -5 
D) 2 y - 5 x = -10 
E) 2 y - 5 x = 10

Question 15

Use the point-slope form to write an equation of the line with the slope $- \frac { 3 } { 5 }$ and that passes through the point $( - 9 , - 8 )$ .

Accepted Answer

A)  $y - 9 = - \frac { 3 } { 5 } ( x + 8 )$ 
B)  $y + 9 = - \frac { 3 } { 5 } ( x + 8 )$ 
C)  $y - 8 = - \frac { 3 } { 5 } ( x + 9 )$ 
D)  $y + 8 = - \frac { 3 } { 5 } ( x + 9 )$ 
E)  $y + 8 = \frac { 3 } { 5 } ( x + 9 )$ 
A)  $y - 9 = - \frac { 3 } { 5 } ( x + 8 )$ 
B)  $y + 9 = - \frac { 3 } { 5 } ( x + 8 )$ 
C)  $y - 8 = - \frac { 3 } { 5 } ( x + 9 )$ 
D)  $y + 8 = - \frac { 3 } { 5 } ( x + 9 )$ 
E)  $y + 8 = \frac { 3 } { 5 } ( x + 9 )$

Question 16

Find the equation of the line that contains the given point and has the given slope. $( 2,9 ) , m = \frac { 2 } { 9 }$

Accepted Answer

A)  $2 x - 9 y = - 77$ 
B)  $2 x - 9 y = 2$ 
C)  $9 x - 2 y = 2$ 
D)  $2 x - 9 y = - 5$ 
E)  $9 x - 2 y = - 77$ 
A)  $2 x - 9 y = - 77$ 
B)  $2 x - 9 y = 2$ 
C)  $9 x - 2 y = 2$ 
D)  $2 x - 9 y = - 5$ 
E)  $9 x - 2 y = - 77$

Question 17

Graph the equation. $$x + 4 = 0$$

Accepted Answer

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

Question 18

Graph the line that passes through the given point and has the given slope. (0, 0), m = 2

Accepted Answer

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

Question 19

Determine the type of symmetry exhibited by the graph of the equation. x  2 + 4 y = 1

Accepted Answer

A) symmetry with respect to the x axis 
B) symmetry with respect to the y axis 
C) symmetry with respect to the origin 
A) symmetry with respect to the x axis 
B) symmetry with respect to the y axis 
C) symmetry with respect to the origin

Question 20

Find the equation of the line that contains the two given points. Express the equation in the form $A x + B y = C$ , where A , B , and C are integers. $( 8,4 ) , ( 11,5 )$

Accepted Answer

The answer of Find the equation of the line that...

Graph the inequality. $2 x \leq - 3 y - 12$

Find the equation of the line that contains the two given points. $( 3,1 ) , ( 6,6 )$

Find the equation of the line with the given slope and y -intercept. Leave your answer in slope-intercept form. $m = \frac { 2 } { 3 } \text { and } b = 4$

If the ratio of rise to run is to be $\frac { 2 } { 3 }$ for some stairs and the measure of the run is 24 centimeters, find the measure of the rise to the nearest centimeter.

Graph the equation. $2 y ^ { 2 } = x ^ { 3 }$

Use the point-slope form to write an equation of the line with the slope 5 and that passes through the point (7, 9).

Find the coordinates of the given point:

Graph the linear equation. Label the intercepts on the graph. $x + y = 5$

Find the distance between the two points. (1, 10)and (9, 2)

Graph the linear equation. Label the intercepts on the graph. $4 x - y = 2$

Tell whether the graphs of the following pair of equations are parallel , perpendicular , or neither . $y = 4 x - 14 , y = \frac { 1 } { 4 } x + 27$

Find the equation of the line with the given slope and y -intercept. m = 2, b = -7

Tell whether the lines with the given slopes are parallel, perpendicular, or neither. $m _ { 1 } = 5 , m _ { 2 } = - \frac { 1 } { 5 }$

Find the equation of the line that contains the two given points. $( - 2,0 ) , ( 0 , - 5 )$

Use the point-slope form to write an equation of the line with the slope $- \frac { 3 } { 5 }$ and that passes through the point $( - 9 , - 8 )$ .

Find the equation of the line that contains the given point and has the given slope. $( 2,9 ) , m = \frac { 2 } { 9 }$

Graph the equation. $x + 4 = 0$

Graph the line that passes through the given point and has the given slope. (0, 0), m = 2

Determine the type of symmetry exhibited by the graph of the equation. x ²+ 4 y = 1

Find the equation of the line that contains the two given points. Express the equation in the form $A x + B y = C$ , where A , B , and C are integers. $( 8,4 ) , ( 11,5 )$

Basic Concepts and Properties

Equations, Inequalities, and Problem Solving

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Exam 7: Equations and Inequalities in Two Variables

Graph the inequality. 2x≤−3y−122 x \leq - 3 y - 122x≤−3y−12

Find the equation of the line that contains the two given points. (3,1),(6,6)( 3,1 ) , ( 6,6 )(3,1),(6,6)

Find the equation of the line with the given slope and y -intercept. Leave your answer in slope-intercept form. m=23 and b=4m = \frac { 2 } { 3 } \text { and } b = 4m=32​ and b=4

If the ratio of rise to run is to be 23\frac { 2 } { 3 }32​ for some stairs and the measure of the run is 24 centimeters, find the measure of the rise to the nearest centimeter.

Graph the equation. 2y2=x32 y ^ { 2 } = x ^ { 3 }2y2=x3

Use the point-slope form to write an equation of the line with the slope 5 and that passes through the point (7, 9).

Find the coordinates of the given point:

Graph the linear equation. Label the intercepts on the graph. x+y=5x + y = 5x+y=5

Find the distance between the two points. (1, 10)and (9, 2)

Graph the linear equation. Label the intercepts on the graph. 4x−y=24 x - y = 24x−y=2

Tell whether the graphs of the following pair of equations are parallel , perpendicular , or neither . y=4x−14,y=14x+27y = 4 x - 14 , y = \frac { 1 } { 4 } x + 27y=4x−14,y=41​x+27

Find the equation of the line with the given slope and y -intercept. m = 2, b = -7

Tell whether the lines with the given slopes are parallel, perpendicular, or neither. m1=5,m2=−15m _ { 1 } = 5 , m _ { 2 } = - \frac { 1 } { 5 }m1​=5,m2​=−51​

Find the equation of the line that contains the two given points. (−2,0),(0,−5)( - 2,0 ) , ( 0 , - 5 )(−2,0),(0,−5)

Use the point-slope form to write an equation of the line with the slope −35- \frac { 3 } { 5 }−53​ and that passes through the point (−9,−8)( - 9 , - 8 )(−9,−8) .

Find the equation of the line that contains the given point and has the given slope. (2,9),m=29( 2,9 ) , m = \frac { 2 } { 9 }(2,9),m=92​

Graph the equation. x+4=0x + 4 = 0x+4=0

Graph the line that passes through the given point and has the given slope. (0, 0), m = 2

Determine the type of symmetry exhibited by the graph of the equation. x 2 + 4 y = 1

Find the equation of the line that contains the two given points. Express the equation in the form Ax+By=CA x + B y = CAx+By=C , where A , B , and C are integers. (8,4),(11,5)( 8,4 ) , ( 11,5 )(8,4),(11,5)

Basic Concepts and Properties

Equations, Inequalities, and Problem Solving

Polynomials

Rational Expressions

Exponents and Radicals

Quadratic Equations and Inequalities

Conic Sections

Functions

Systems of Equations

Exponential and Logarithmic Functions

Filters

Graph the inequality. $2 x \leq - 3 y - 12$

Find the equation of the line that contains the two given points. $( 3,1 ) , ( 6,6 )$

Find the equation of the line with the given slope and y -intercept. Leave your answer in slope-intercept form. $m = \frac { 2 } { 3 } \text { and } b = 4$

If the ratio of rise to run is to be $\frac { 2 } { 3 }$ for some stairs and the measure of the run is 24 centimeters, find the measure of the rise to the nearest centimeter.

Graph the equation. $2 y ^ { 2 } = x ^ { 3 }$

Graph the linear equation. Label the intercepts on the graph. $x + y = 5$

Graph the linear equation. Label the intercepts on the graph. $4 x - y = 2$

Tell whether the graphs of the following pair of equations are parallel , perpendicular , or neither . $y = 4 x - 14 , y = \frac { 1 } { 4 } x + 27$

Tell whether the lines with the given slopes are parallel, perpendicular, or neither. $m _ { 1 } = 5 , m _ { 2 } = - \frac { 1 } { 5 }$

Find the equation of the line that contains the two given points. $( - 2,0 ) , ( 0 , - 5 )$

Use the point-slope form to write an equation of the line with the slope $- \frac { 3 } { 5 }$ and that passes through the point $( - 9 , - 8 )$ .

Find the equation of the line that contains the given point and has the given slope. $( 2,9 ) , m = \frac { 2 } { 9 }$

Graph the equation. $x + 4 = 0$

Determine the type of symmetry exhibited by the graph of the equation. x ²+ 4 y = 1

Find the equation of the line that contains the two given points. Express the equation in the form $A x + B y = C$ , where A , B , and C are integers. $( 8,4 ) , ( 11,5 )$