Question 1

Does this graph pass the vertical line test?

Accepted Answer

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

Question 2

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

Accepted Answer

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

Question 3

To plot the point with coordinates (38,-83)we:

Accepted Answer

A) start at the origin and move 38 units to the left and then move 83 units up. 
B) start at the origin and move 38 units to the left and then move 83 units down. 
C) start at (1,1)and move 38 units to the right and then move 83 units down. 
D) start at the origin and move 38 units to the right and then move 83 units up. 
E) start at the origin and move 38 units to the right and then move 83 units down. 
A) start at the origin and move 38 units to the left and then move 83 units up. 
B) start at the origin and move 38 units to the left and then move 83 units down. 
C) start at (1,1)and move 38 units to the right and then move 83 units down. 
D) start at the origin and move 38 units to the right and then move 83 units up. 
E) start at the origin and move 38 units to the right and then move 83 units down. E

Question 4

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

Accepted Answer

A)  $- \frac { n } { m }$ 
B)  $\frac { m } { n }$ 
C)  $- \frac { m } { n }$ 
D)  $\frac { n } { m }$ 
E) undefined 
A)  $- \frac { n } { m }$ 
B)  $\frac { m } { n }$ 
C)  $- \frac { m } { n }$ 
D)  $\frac { n } { m }$ 
E) undefined

Question 5

Does this graph pass the vertical line test?

Accepted Answer

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

Question 6

Match between columns
                        Premises: A line with negative slope

Accepted Answer

The Answer of falls from left to right and rises is...

Question 7

Decide whether the ordered pair $( 4,1 )$ is a solution of the inequality. $3 x - 2 y \geq 7$

Accepted Answer

A) yes 
B) no 
A) yes 
B) no

Question 8

Use the point-slope form to write an equation of the line with the slope $-$ 8 and that passes through the point ( $-$ 2, 4). Then write your result in slope-intercept form.

Accepted Answer

A)  $y = - 8 x - 14$ 
B)  $y = - 8 x - 10$ 
C)  $y = - 8 x - 12$ 
D)  $y = 8 x - 14$ 
E)  $y = 8 x - 12$ 
A)  $y = - 8 x - 14$ 
B)  $y = - 8 x - 10$ 
C)  $y = - 8 x - 12$ 
D)  $y = 8 x - 14$ 
E)  $y = 8 x - 12$

Question 9

Graph the linear equation. $4 x - y = 5$

Accepted Answer

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

Question 10

Find the slope of the line of the equation. y = 0.4 x $-$ 2

Accepted Answer

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

Question 11

Use the point-slope form to write an equation of the line with the slope $-$ 6 and that passes through the point ( $-$ 9, 2). Then write your result in slope-intercept form.

Accepted Answer

A)  $y = - 6 x - 51$ 
B)  $y = - 6 x - 50$ 
C)  $y = - 6 x - 52$ 
D)  $y = 6 x - 51$ 
E)  $y = 6 x - 52$ 
A)  $y = - 6 x - 51$ 
B)  $y = - 6 x - 50$ 
C)  $y = - 6 x - 52$ 
D)  $y = 6 x - 51$ 
E)  $y = 6 x - 52$

Question 12

For the following pair of equations, predict whether they represent parallel lines, perpendicular lines, or lines that intersect but are not perpendicular. 5.4 x + 2.4 y = 6.4 and 2.4 x - 5.4 y = 1.4

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 13

Find the domain and range of the following relations. $$\{ ( 2 , - 1 ) , ( 7 , - 4 ) , ( 0,3 ) , ( - 2,19 ) , ( 2,6 ) \}$$

Accepted Answer

A)  domain : $\{ - 4 , - 1,3,6,19 \}$
range : $\{ - 2,0,2,7 \}$ 
B)  domain: $\{ - 2,0,2,7 \}$
range : $\{ - 4 , - 1,3,6,19 \}$ 
C)  domain: $\{ - 4 , - 2 , - 1,0,2,3,6,7,19 \}$
$$\text { range : } \{ - 4 , - 1,3,6,19 \}$$ 
D)  domain: $\{ - 2,0,2,7 \}$
range : $\{ - 4 , - 2 , - 1,0,2,3,6,7,19 \}$ 
A)  domain : $\{ - 4 , - 1,3,6,19 \}$
range : $\{ - 2,0,2,7 \}$ 
B)  domain: $\{ - 2,0,2,7 \}$
range : $\{ - 4 , - 1,3,6,19 \}$ 
C)  domain: $\{ - 4 , - 2 , - 1,0,2,3,6,7,19 \}$
$$\text { range : } \{ - 4 , - 1,3,6,19 \}$$ 
D)  domain: $\{ - 2,0,2,7 \}$
range : $\{ - 4 , - 2 , - 1,0,2,3,6,7,19 \}$

Question 14

The graph of a linear inequality is shown. Tell whether point $( - 2 , - 2 )$ satisfies the inequality.

Accepted Answer

A) yes 
B) no 
A) yes 
B) no

Question 15

Find the slope and the y -intercept of the line determined by the given equation. $$5 x = 2 y - 8$$

Accepted Answer

A) slope: $- \frac { 2 } { 5 }$ ; y -intercept: $( 0,4 )$ 
B) slope: $\frac { 2 } { 5 }$ ; y -intercept: $( 0,4 )$ 
C) slope: $\frac { 5 } { 2 }$ ; y -intercept: $( 0,4 )$ 
D) slope: $- \frac { 5 } { 2 }$ ; y -intercept: $( 0 , - 4 )$ 
E) slope: $\frac { 5 } { 2 }$ ; y -intercept: $( 0 , - 4 )$ 
A) slope: $- \frac { 2 } { 5 }$ ; y -intercept: $( 0,4 )$ 
B) slope: $\frac { 2 } { 5 }$ ; y -intercept: $( 0,4 )$ 
C) slope: $\frac { 5 } { 2 }$ ; y -intercept: $( 0,4 )$ 
D) slope: $- \frac { 5 } { 2 }$ ; y -intercept: $( 0 , - 4 )$ 
E) slope: $\frac { 5 } { 2 }$ ; y -intercept: $( 0 , - 4 )$

Question 16

Find the slope of the line determined by the equation. $$x = \frac { 5 - y } { 6 }$$

Accepted Answer

A)  $m = - \frac { 5 } { 6 }$ 
B)  $m = - 6$ 
C)  $m = \frac { 5 } { 6 }$ 
D)  $m = 6$ 
E)  $m = - \frac { 1 } { 6 }$ 
A)  $m = - \frac { 5 } { 6 }$ 
B)  $m = - 6$ 
C)  $m = \frac { 5 } { 6 }$ 
D)  $m = 6$ 
E)  $m = - \frac { 1 } { 6 }$

Question 17

A sporting goods manufacturer allocates at least 1,200 units of time per day to make fishing rods and reels. If it takes 15 units of time to make a rod and 30 units of time to make a reel, graph an inequality that shows the possible ways to schedule the time to make rods ( x )and reels ( y ). Graph the inequality for nonnegative values of x and y .

Accepted Answer

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

Question 18

Find the slope m and the y -intercept of the line y = 2.663 + 8.415 x

Accepted Answer

A) m = 8.415, y int = 2.663 
B) m = 2.663; y int = 8.415 
C) m = -8.415, y int = 2.663 
D) m = 8.415, y int = 0 
A) m = 8.415, y int = 2.663 
B) m = 2.663; y int = 8.415 
C) m = -8.415, y int = 2.663 
D) m = 8.415, y int = 0

Question 19

Tell whether the lines with the given slopes are parallel, perpendicular, or neither. $$m _ { 1 } = 5 , m _ { 2 } = - \frac { 1 } { 4 }$$

Accepted Answer

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

Question 20

You and your friends each eat 2 slices of pizza for dinner, there are 8 slices in a pie, and the delivery fee is $5. You must tip 10% on the pizza order but not on the delivery fee. Express the total cost in an expression.

Accepted Answer

A) y = 2 x + 5 
B) y = 2.2 x + 5 
C) y = 0.2 x + 5 
D) y = 2 x 
A) y = 2 x + 5 
B) y = 2.2 x + 5 
C) y = 0.2 x + 5 
D) y = 2 x

Does this graph pass the vertical line test?

Graph the equation. $x + 4 = 0$

To plot the point with coordinates (38,-83)we:

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

Does this graph pass the vertical line test?

Decide whether the ordered pair $( 4,1 )$ is a solution of the inequality. $3 x - 2 y \geq 7$

Use the point-slope form to write an equation of the line with the slope $-$ 8 and that passes through the point ( $-$ 2, 4). Then write your result in slope-intercept form.

Graph the linear equation. $4 x - y = 5$

Find the slope of the line of the equation. y = 0.4 x $-$ 2

Use the point-slope form to write an equation of the line with the slope $-$ 6 and that passes through the point ( $-$ 9, 2). Then write your result in slope-intercept form.

For the following pair of equations, predict whether they represent parallel lines, perpendicular lines, or lines that intersect but are not perpendicular. 5.4 x + 2.4 y = 6.4 and 2.4 x - 5.4 y = 1.4

Find the domain and range of the following relations. $\{ ( 2 , - 1 ) , ( 7 , - 4 ) , ( 0,3 ) , ( - 2,19 ) , ( 2,6 ) \}$

The graph of a linear inequality is shown. Tell whether point $( - 2 , - 2 )$ satisfies the inequality.

Find the slope and the y -intercept of the line determined by the given equation. $5 x = 2 y - 8$

Find the slope of the line determined by the equation. $x = \frac { 5 - y } { 6 }$

Find the slope m and the y -intercept of the line y = 2.663 + 8.415 x

Tell whether the lines with the given slopes are parallel, perpendicular, or neither. $m _ { 1 } = 5 , m _ { 2 } = - \frac { 1 } { 4 }$

You and your friends each eat 2 slices of pizza for dinner, there are 8 slices in a pie, and the delivery fee is $5. You must tip 10% on the pizza order but not on the delivery fee. Express the total cost in an expression.

An Introduction to Algebra

Equations, Inequalities, and Problem Solving

Solving Systems of Equations and Inequalities

Exponents and Polynomials

Factoring and Quadratic Equations

Rational Expressions and Equations

Roots and Radicals

Quadratic Equations

Filters

Exam 3: Graphs, Linear Equations, and Inequalities in Two Variables; Functions From Campus to Careers: Physical Therapis

Does this graph pass the vertical line test?

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

To plot the point with coordinates (38,-83)we:

Find the slope of the line determined by this pair of points. (m,0),(0,n)( m , 0 ) , ( 0 , n )(m,0),(0,n)

Does this graph pass the vertical line test?

Decide whether the ordered pair (4,1)( 4,1 )(4,1) is a solution of the inequality. 3x−2y≥73 x - 2 y \geq 73x−2y≥7

Use the point-slope form to write an equation of the line with the slope −-− 8 and that passes through the point ( −-− 2, 4). Then write your result in slope-intercept form.

Graph the linear equation. 4x−y=54 x - y = 54x−y=5

Find the slope of the line of the equation. y = 0.4 x −-− 2

Use the point-slope form to write an equation of the line with the slope −-− 6 and that passes through the point ( −-− 9, 2). Then write your result in slope-intercept form.

For the following pair of equations, predict whether they represent parallel lines, perpendicular lines, or lines that intersect but are not perpendicular. 5.4 x + 2.4 y = 6.4 and 2.4 x - 5.4 y = 1.4

Find the domain and range of the following relations. {(2,−1),(7,−4),(0,3),(−2,19),(2,6)}\{ ( 2 , - 1 ) , ( 7 , - 4 ) , ( 0,3 ) , ( - 2,19 ) , ( 2,6 ) \}{(2,−1),(7,−4),(0,3),(−2,19),(2,6)}

The graph of a linear inequality is shown. Tell whether point (−2,−2)( - 2 , - 2 )(−2,−2) satisfies the inequality.

Find the slope and the y -intercept of the line determined by the given equation. 5x=2y−85 x = 2 y - 85x=2y−8

Find the slope of the line determined by the equation. x=5−y6x = \frac { 5 - y } { 6 }x=65−y​

Find the slope m and the y -intercept of the line y = 2.663 + 8.415 x

Tell whether the lines with the given slopes are parallel, perpendicular, or neither. m1=5,m2=−14m _ { 1 } = 5 , m _ { 2 } = - \frac { 1 } { 4 }m1​=5,m2​=−41​

You and your friends each eat 2 slices of pizza for dinner, there are 8 slices in a pie, and the delivery fee is $5. You must tip 10% on the pizza order but not on the delivery fee. Express the total cost in an expression.

An Introduction to Algebra

Equations, Inequalities, and Problem Solving

Solving Systems of Equations and Inequalities

Exponents and Polynomials

Factoring and Quadratic Equations

Rational Expressions and Equations

Roots and Radicals

Quadratic Equations

Filters

Graph the equation. $x + 4 = 0$

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

Decide whether the ordered pair $( 4,1 )$ is a solution of the inequality. $3 x - 2 y \geq 7$

Use the point-slope form to write an equation of the line with the slope $-$ 8 and that passes through the point ( $-$ 2, 4). Then write your result in slope-intercept form.

Graph the linear equation. $4 x - y = 5$

Find the slope of the line of the equation. y = 0.4 x $-$ 2

Use the point-slope form to write an equation of the line with the slope $-$ 6 and that passes through the point ( $-$ 9, 2). Then write your result in slope-intercept form.

Find the domain and range of the following relations. $\{ ( 2 , - 1 ) , ( 7 , - 4 ) , ( 0,3 ) , ( - 2,19 ) , ( 2,6 ) \}$

The graph of a linear inequality is shown. Tell whether point $( - 2 , - 2 )$ satisfies the inequality.

Find the slope and the y -intercept of the line determined by the given equation. $5 x = 2 y - 8$

Find the slope of the line determined by the equation. $x = \frac { 5 - y } { 6 }$

Tell whether the lines with the given slopes are parallel, perpendicular, or neither. $m _ { 1 } = 5 , m _ { 2 } = - \frac { 1 } { 4 }$