Question 1

Find the coordinates of the point.

Accepted Answer

A) (-1,-5) 
B) (-1,5) 
C) (5,1) 
D) (1, 5) 
E) (-5,1) 
A) (-1,-5) 
B) (-1,5) 
C) (5,1) 
D) (1, 5) 
E) (-5,1)

Question 2

Find the equation of the line that contains the given point and has the given slope. Express equation in the form $A x + B y = C$ , where A , B , and C are integers. $( 2,7 ) , m = \frac { 2 } { 7 }$

Accepted Answer

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

Question 3

The cost ( c )of playing an online computer game for a time ( t )in hours is given by the equation c = 3 t + 7. Label the horizontal axis t and the vertical axis c , and graph the equation for nonnegative values of t .

Accepted Answer

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

Question 4

Graph the equation. $y = - \frac { x ^ { 4 } } { 5 }$

Accepted Answer

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

Question 5

Find the slope of the line determined by this pair of points. (3, -1), (1, -1)slope = __________

Accepted Answer

The answer of Find the slope of the line determined...

Question 6

Determine which of the ordered pairs are solutions to the given equation. $$y = - x + 11$$

Accepted Answer

A)  $( 16 , - 5 ) , ( 2 , - 9 )$ 
B)  $( - 5,16 ) , ( 2,9 )$ 
C)  $( 5,16 ) , ( 2 , - 9 )$ 
D)  $( - 5,9 ) , ( 16,2 )$ 
A)  $( 16 , - 5 ) , ( 2 , - 9 )$ 
B)  $( - 5,16 ) , ( 2,9 )$ 
C)  $( 5,16 ) , ( 2 , - 9 )$ 
D)  $( - 5,9 ) , ( 16,2 )$

Question 7

Determine which of the ordered pairs are solutions to the given equation. $$2 x - y = 6$$

Accepted Answer

A) (-1, 5), (0, 3) 
B) (2, -10), (1, -5) 
C) (-2, -10), (3, 0) 
D) (6, 0), (-3, 0) 
A) (-1, 5), (0, 3) 
B) (2, -10), (1, -5) 
C) (-2, -10), (3, 0) 
D) (6, 0), (-3, 0)

Question 8

The grade of a highway up a hill is 15%. How much change in horizontal distance is there if the vertical height of the hill is 650 feet? Express the answer to the nearest foot.

Accepted Answer

A) 4,352 ft 
B) 4,333 ft 
C) 4,233 ft 
D) 4,343 ft 
E) 4,308 ft 
A) 4,352 ft 
B) 4,333 ft 
C) 4,233 ft 
D) 4,343 ft 
E) 4,308 ft

Question 9

Graph the equation. $$- 3 y = 3$$

Accepted Answer

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

Question 10

Graph the line that passes through the given point and has the given slope. $( 3,2 ) , m = \frac { 5 } { 3 }$

Accepted Answer

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

Question 11

Find the distance between the two points. (3, 6)and (-7, -6)

Accepted Answer

A)  $2 \sqrt { 61 }$ 
B)  $4 \sqrt { 61 }$ 
C) 61 
D)  $\sqrt { 122 }$ 
E)  $\sqrt { 61 }$ 
A)  $2 \sqrt { 61 }$ 
B)  $4 \sqrt { 61 }$ 
C) 61 
D)  $\sqrt { 122 }$ 
E)  $\sqrt { 61 }$

Question 12

Graph the line determined by the equation $$y = - \frac { 7 } { 11 } x + \frac { 5 } { 6 }$$ .

Accepted Answer

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

Question 13

If the rise of the roof shown in the illustration is 5 feet, and the run is 9 feet, find the pitch of the roof.

Accepted Answer

A)  $- \frac { 5 } { 9 }$ 
B) 45 
C)  $\frac { 5 } { 9 }$ 
D) 14 
E)  $\frac { 9 } { 5 }$ 
A)  $- \frac { 5 } { 9 }$ 
B) 45 
C)  $\frac { 5 } { 9 }$ 
D) 14 
E)  $\frac { 9 } { 5 }$

Question 14

Identify the graph of the equation. 12 x - 4 y = 0

Accepted Answer

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

Question 15

Find the distance between the two points. (-4, -2)and (5, 10)

Accepted Answer

A) 15 
B) 20 
C) 18 
D) 12 
E) 13 
A) 15 
B) 20 
C) 18 
D) 12 
E) 13

Question 16

For the following pair of equations, predict whether they represent parallel lines, perpendicular lines, or lines that intersect but are not perpendicular. 6.7 x + 7.7 y = 4.6 and 7.7 x - 6.7 y = 9.2

Accepted Answer

A) parallel lines 
B) lines that intersect but are not perpendicular 
C) perpendicular lines 
A) parallel lines 
B) lines that intersect but are not perpendicular 
C) perpendicular lines

Question 17

Graph the line that passes through the given point and has the given slope. (1, 0), $m = \frac { 1 } { 2 }$ .

Accepted Answer

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

Question 18

Graph the inequality. $$2 x \geq - y - 4$$

Accepted Answer

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

Question 19

Find the equation of the line with the given slope and y -intercept. $$m = \frac { 2 } { 7 } \text { and } b = 6$$

Accepted Answer

A)  $x = \frac { 2 } { 7 } y + 6$ 
B)  $y = \frac { 2 } { 7 } + 6 x$ 
C)  $y = \frac { 2 } { 7 } - 6 x$ 
D)  $y = \frac { 2 } { 7 } x - 6$ 
E)  $y = \frac { 2 } { 7 } x + 6$ 
A)  $x = \frac { 2 } { 7 } y + 6$ 
B)  $y = \frac { 2 } { 7 } + 6 x$ 
C)  $y = \frac { 2 } { 7 } - 6 x$ 
D)  $y = \frac { 2 } { 7 } x - 6$ 
E)  $y = \frac { 2 } { 7 } x + 6$

Question 20

Use the utility to graph $y = 4 x - 2$ , $4 x - y = 5$ , $y - 3 = 4 x$ and $8 x + 11 = 2 y$ on the same set of axes.

Accepted Answer

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

Find the coordinates of the point.

Find the equation of the line that contains the given point and has the given slope. Express equation in the form $A x + B y = C$ , where A , B , and C are integers. $( 2,7 ) , m = \frac { 2 } { 7 }$

The cost ( c )of playing an online computer game for a time ( t )in hours is given by the equation c = 3 t + 7. Label the horizontal axis t and the vertical axis c , and graph the equation for nonnegative values of t .

Graph the equation. $y = - \frac { x ^ { 4 } } { 5 }$

Find the slope of the line determined by this pair of points. (3, -1), (1, -1)slope = __________

Determine which of the ordered pairs are solutions to the given equation. $y = - x + 11$

Determine which of the ordered pairs are solutions to the given equation. $2 x - y = 6$

The grade of a highway up a hill is 15%. How much change in horizontal distance is there if the vertical height of the hill is 650 feet? Express the answer to the nearest foot.

Graph the equation. $- 3 y = 3$

Graph the line that passes through the given point and has the given slope. $( 3,2 ) , m = \frac { 5 } { 3 }$

Find the distance between the two points. (3, 6)and (-7, -6)

Graph the line determined by the equation $y = - \frac { 7 } { 11 } x + \frac { 5 } { 6 }$ .

If the rise of the roof shown in the illustration is 5 feet, and the run is 9 feet, find the pitch of the roof.

Identify the graph of the equation. 12 x - 4 y = 0

Find the distance between the two points. (-4, -2)and (5, 10)

For the following pair of equations, predict whether they represent parallel lines, perpendicular lines, or lines that intersect but are not perpendicular. 6.7 x + 7.7 y = 4.6 and 7.7 x - 6.7 y = 9.2

Graph the line that passes through the given point and has the given slope. (1, 0), $m = \frac { 1 } { 2 }$ .

Graph the inequality. $2 x \geq - y - 4$

Find the equation of the line with the given slope and y -intercept. $m = \frac { 2 } { 7 } \text { and } b = 6$

Use the utility to graph $y = 4 x - 2$ , $4 x - y = 5$ , $y - 3 = 4 x$ and $8 x + 11 = 2 y$ on the same set of axes.

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 coordinates of the point.

Find the equation of the line that contains the given point and has the given slope. Express equation in the form Ax+By=CA x + B y = CAx+By=C , where A , B , and C are integers. (2,7),m=27( 2,7 ) , m = \frac { 2 } { 7 }(2,7),m=72​

The cost ( c )of playing an online computer game for a time ( t )in hours is given by the equation c = 3 t + 7. Label the horizontal axis t and the vertical axis c , and graph the equation for nonnegative values of t .

Graph the equation. y=−x45y = - \frac { x ^ { 4 } } { 5 }y=−5x4​

Find the slope of the line determined by this pair of points. (3, -1), (1, -1)slope = __________

Determine which of the ordered pairs are solutions to the given equation. y=−x+11y = - x + 11y=−x+11

Determine which of the ordered pairs are solutions to the given equation. 2x−y=62 x - y = 62x−y=6

The grade of a highway up a hill is 15%. How much change in horizontal distance is there if the vertical height of the hill is 650 feet? Express the answer to the nearest foot.

Graph the equation. −3y=3- 3 y = 3−3y=3

Graph the line that passes through the given point and has the given slope. (3,2),m=53( 3,2 ) , m = \frac { 5 } { 3 }(3,2),m=35​

Find the distance between the two points. (3, 6)and (-7, -6)

Graph the line determined by the equation y=−711x+56y = - \frac { 7 } { 11 } x + \frac { 5 } { 6 }y=−117​x+65​ .

If the rise of the roof shown in the illustration is 5 feet, and the run is 9 feet, find the pitch of the roof.

Identify the graph of the equation. 12 x - 4 y = 0

Find the distance between the two points. (-4, -2)and (5, 10)

For the following pair of equations, predict whether they represent parallel lines, perpendicular lines, or lines that intersect but are not perpendicular. 6.7 x + 7.7 y = 4.6 and 7.7 x - 6.7 y = 9.2

Graph the line that passes through the given point and has the given slope. (1, 0), m=12m = \frac { 1 } { 2 }m=21​ .

Graph the inequality. 2x≥−y−42 x \geq - y - 42x≥−y−4

Find the equation of the line with the given slope and y -intercept. m=27 and b=6m = \frac { 2 } { 7 } \text { and } b = 6m=72​ and b=6

Use the utility to graph y=4x−2y = 4 x - 2y=4x−2 , 4x−y=54 x - y = 54x−y=5 , y−3=4xy - 3 = 4 xy−3=4x and 8x+11=2y8 x + 11 = 2 y8x+11=2y on the same set of axes.

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

Find the equation of the line that contains the given point and has the given slope. Express equation in the form $A x + B y = C$ , where A , B , and C are integers. $( 2,7 ) , m = \frac { 2 } { 7 }$

Graph the equation. $y = - \frac { x ^ { 4 } } { 5 }$

Determine which of the ordered pairs are solutions to the given equation. $y = - x + 11$

Determine which of the ordered pairs are solutions to the given equation. $2 x - y = 6$

Graph the equation. $- 3 y = 3$

Graph the line that passes through the given point and has the given slope. $( 3,2 ) , m = \frac { 5 } { 3 }$

Graph the line determined by the equation $y = - \frac { 7 } { 11 } x + \frac { 5 } { 6 }$ .

Graph the line that passes through the given point and has the given slope. (1, 0), $m = \frac { 1 } { 2 }$ .

Graph the inequality. $2 x \geq - y - 4$

Find the equation of the line with the given slope and y -intercept. $m = \frac { 2 } { 7 } \text { and } b = 6$

Use the utility to graph $y = 4 x - 2$ , $4 x - y = 5$ , $y - 3 = 4 x$ and $8 x + 11 = 2 y$ on the same set of axes.