Question 1

Find the slope of the line determined by this pair of points. (9, 8), (13, 11)

Accepted Answer

A)  $\frac { 3 } { 4 }$ 
B)  $3$ 
C)  $- \frac { 3 } { 4 }$ 
D)  $\frac { 4 } { 3 }$ 
E)  $- \frac { 4 } { 3 }$ 
A)  $\frac { 3 } { 4 }$ 
B)  $3$ 
C)  $- \frac { 3 } { 4 }$ 
D)  $\frac { 4 } { 3 }$ 
E)  $- \frac { 4 } { 3 }$

Question 2

Determine the type(s)of symmetry (symmetry with respect to the x axis, y axis, and/or origin)exhibited by the graph the equation. Do not sketch the graph. x 2 + y 2 - 6 x - 1 = 0

Accepted Answer

A) y axis 
B) x axis 
C) origin 
D) all three 
E) none 
A) y axis 
B) x axis 
C) origin 
D) all three 
E) none

Question 3

Solve $3 x + 2 y = 2$ for y.

Accepted Answer

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

Question 4

The equation $F = \frac { 9 } { 5 } C + 32$ can be used to convert from degrees in Celsius to degrees in Fahrenheit. Identify the graph of the equation.

Accepted Answer

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

Question 5

Graph the inequality. $y < 5 x - 5$

Accepted Answer

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

Question 6

Graph the equation using the intercept method. Label the intercepts on the graph. $$3 x + 4 y - 8 = 0$$

Accepted Answer

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

Question 7

Use the utility to obtain a graph of the line $$3.7 y - 1.48 x = 5.55$$ .

Accepted Answer

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

Question 8

Find the equation of the line that contains the given point and has the given slope. $$( - 4,3 ) , m = 0$$

Accepted Answer

A) x = 3 
B) y = 3 
C) x = -4 
D) y = -4 
E) y = -3 
A) x = 3 
B) y = 3 
C) x = -4 
D) y = -4 
E) y = -3

Question 9

Determine the type(s)of symmetry (symmetry with respect to the x axis, y axis, and/or origin)exhibited by the graph of the equation. Do not sketch the graph. $$x ^ { 2 } + y ^ { 2 } = 19$$

Accepted Answer

A) origin 
B) y axis 
C) x axis 
D) all three 
E) none 
A) origin 
B) y axis 
C) x axis 
D) all three 
E) none

Question 10

Find the slope of the line determined by this pair of points. $( a , 0 ) , ( 0 , b )$

Accepted Answer

A)  $- \frac { b } { a }$ 
B)  $\frac { a } { b }$ 
C)  $- \frac { a } { b }$ 
D)  $\frac { b } { a }$ 
E) undefined 
A)  $- \frac { b } { a }$ 
B)  $\frac { a } { b }$ 
C)  $- \frac { a } { b }$ 
D)  $\frac { b } { a }$ 
E) undefined

Question 11

Use the point-slope form to write an equation of the line with the slope - 4 and that passes through the point ( -9, 3). Then write your result in slope-intercept form.

Accepted Answer

A)  $y = - 4 x - 32$ 
B)  $y = - 4 x - 31$ 
C)  $y = - 4 x - 33$ 
D)  $y = 4 x - 32$ 
E)  $y = 4 x - 33$ 
A)  $y = - 4 x - 32$ 
B)  $y = - 4 x - 31$ 
C)  $y = - 4 x - 33$ 
D)  $y = 4 x - 32$ 
E)  $y = 4 x - 33$

Question 12

The graph of a linear equation is shown below.   If the coordinates of point M are substituted into the equation, will the result be true or false? If the coordinates of point N are substituted into the equation, will the result be true or false?

Accepted Answer

A) true, true 
B) false, false 
C) false, true 
D) true, false 
E) none of the above 
A) true, true 
B) false, false 
C) false, true 
D) true, false 
E) none of the above

Question 13

Use the utility to graph $y = 2 x - 7$ , $y = 1$ and $y = - 3 x - 4$ on the same set of axes.

Accepted Answer

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

Question 14

Determine which of the ordered pairs are solutions to the given equation. $$6 y - 5 x = 18$$

Accepted Answer

A)  $( 3,0 ) , ( 12 , - 13 )$ 
B)  $( 0,13 ) , ( 12,3 )$ 
C)  $( 0 , - 3 ) , ( 12 , - 13 )$ 
D)  $( 0,3 ) , ( 12,13 )$ 
A)  $( 3,0 ) , ( 12 , - 13 )$ 
B)  $( 0,13 ) , ( 12,3 )$ 
C)  $( 0 , - 3 ) , ( 12 , - 13 )$ 
D)  $( 0,3 ) , ( 12,13 )$

Question 15

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

Accepted Answer

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

Question 16

Change the equation to slope-intercept form. $4 x + 11 y = 1$

Accepted Answer

A)  $x = - \frac { 11 } { 4 } y + \frac { 1 } { 11 }$ 
B)  $y = - 4 x + 1$ 
C)  $y = - \frac { 11 } { 4 } + \frac { 1 } { 11 } x$ 
D)  $y = - 4 x + 11$ 
E)  $y = - \frac { 4 } { 11 } x + \frac { 1 } { 11 }$ 
A)  $x = - \frac { 11 } { 4 } y + \frac { 1 } { 11 }$ 
B)  $y = - 4 x + 1$ 
C)  $y = - \frac { 11 } { 4 } + \frac { 1 } { 11 } x$ 
D)  $y = - 4 x + 11$ 
E)  $y = - \frac { 4 } { 11 } x + \frac { 1 } { 11 }$

Find the slope of the line determined by this pair of points. (9, 8), (13, 11)

Determine the type(s)of symmetry (symmetry with respect to the x axis, y axis, and/or origin)exhibited by the graph the equation. Do not sketch the graph. x ² + y ² - 6 x - 1 = 0

Solve $3 x + 2 y = 2$ for y.

The equation $F = \frac { 9 } { 5 } C + 32$ can be used to convert from degrees in Celsius to degrees in Fahrenheit. Identify the graph of the equation.

Graph the inequality. $y < 5 x - 5$

Graph the equation using the intercept method. Label the intercepts on the graph. $3 x + 4 y - 8 = 0$

Use the utility to obtain a graph of the line $3.7 y - 1.48 x = 5.55$ .

Find the equation of the line that contains the given point and has the given slope. $( - 4,3 ) , m = 0$

Determine the type(s)of symmetry (symmetry with respect to the x axis, y axis, and/or origin)exhibited by the graph of the equation. Do not sketch the graph. $x ^ { 2 } + y ^ { 2 } = 19$

Find the slope of the line determined by this pair of points. $( a , 0 ) , ( 0 , b )$

Use the point-slope form to write an equation of the line with the slope - 4 and that passes through the point ( -9, 3). Then write your result in slope-intercept form.

The graph of a linear equation is shown below. If the coordinates of point M are substituted into the equation, will the result be true or false? If the coordinates of point N are substituted into the equation, will the result be true or false?

Use the utility to graph $y = 2 x - 7$ , $y = 1$ and $y = - 3 x - 4$ on the same set of axes.

Determine which of the ordered pairs are solutions to the given equation. $6 y - 5 x = 18$

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

Change the equation to slope-intercept form. $4 x + 11 y = 1$

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

Exam 7: Equations and Inequalities in Two Variables

Find the slope of the line determined by this pair of points. (9, 8), (13, 11)

Determine the type(s)of symmetry (symmetry with respect to the x axis, y axis, and/or origin)exhibited by the graph the equation. Do not sketch the graph. x 2 + y 2 - 6 x - 1 = 0

Solve 3x+2y=23 x + 2 y = 23x+2y=2 for y.

The equation F=95C+32F = \frac { 9 } { 5 } C + 32F=59​C+32 can be used to convert from degrees in Celsius to degrees in Fahrenheit. Identify the graph of the equation.

Graph the inequality. y<5x−5y < 5 x - 5y<5x−5

Graph the equation using the intercept method. Label the intercepts on the graph. 3x+4y−8=03 x + 4 y - 8 = 03x+4y−8=0

Use the utility to obtain a graph of the line 3.7y−1.48x=5.553.7 y - 1.48 x = 5.553.7y−1.48x=5.55 .

Find the equation of the line that contains the given point and has the given slope. (−4,3),m=0( - 4,3 ) , m = 0(−4,3),m=0

Determine the type(s)of symmetry (symmetry with respect to the x axis, y axis, and/or origin)exhibited by the graph of the equation. Do not sketch the graph. x2+y2=19x ^ { 2 } + y ^ { 2 } = 19x2+y2=19

Find the slope of the line determined by this pair of points. (a,0),(0,b)( a , 0 ) , ( 0 , b )(a,0),(0,b)

Use the point-slope form to write an equation of the line with the slope - 4 and that passes through the point ( -9, 3). Then write your result in slope-intercept form.

The graph of a linear equation is shown below. If the coordinates of point M are substituted into the equation, will the result be true or false? If the coordinates of point N are substituted into the equation, will the result be true or false?

Use the utility to graph y=2x−7y = 2 x - 7y=2x−7 , y=1y = 1y=1 and y=−3x−4y = - 3 x - 4y=−3x−4 on the same set of axes.

Determine which of the ordered pairs are solutions to the given equation. 6y−5x=186 y - 5 x = 186y−5x=18

Graph the equation. y=−x3−2y = - x ^ { 3 } - 2y=−x3−2

Change the equation to slope-intercept form. 4x+11y=14 x + 11 y = 14x+11y=1

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

Determine the type(s)of symmetry (symmetry with respect to the x axis, y axis, and/or origin)exhibited by the graph the equation. Do not sketch the graph. x ² + y ² - 6 x - 1 = 0

Solve $3 x + 2 y = 2$ for y.

The equation $F = \frac { 9 } { 5 } C + 32$ can be used to convert from degrees in Celsius to degrees in Fahrenheit. Identify the graph of the equation.

Graph the inequality. $y < 5 x - 5$

Graph the equation using the intercept method. Label the intercepts on the graph. $3 x + 4 y - 8 = 0$

Use the utility to obtain a graph of the line $3.7 y - 1.48 x = 5.55$ .

Find the equation of the line that contains the given point and has the given slope. $( - 4,3 ) , m = 0$

Determine the type(s)of symmetry (symmetry with respect to the x axis, y axis, and/or origin)exhibited by the graph of the equation. Do not sketch the graph. $x ^ { 2 } + y ^ { 2 } = 19$

Find the slope of the line determined by this pair of points. $( a , 0 ) , ( 0 , b )$

Use the utility to graph $y = 2 x - 7$ , $y = 1$ and $y = - 3 x - 4$ on the same set of axes.

Determine which of the ordered pairs are solutions to the given equation. $6 y - 5 x = 18$

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

Change the equation to slope-intercept form. $4 x + 11 y = 1$