Question 1

Find the slope of the line passing through the pair of points. ?
(14,0), (0,-3)
?

Accepted Answer

A)    m = $- \frac { 1 } { 16 }$ 
B)    m = $\frac { 14 } { 3 }$ 
C)    m = $\frac { 3 } { 14 }$ 
D)    m = - $\frac { 3 } { 14 }$ 
E)    m = - $\frac { 14 } { 3 }$ 
A)    m = $- \frac { 1 } { 16 }$ 
B)    m = $\frac { 14 } { 3 }$ 
C)    m = $\frac { 3 } { 14 }$ 
D)    m = - $\frac { 3 } { 14 }$ 
E)    m = - $\frac { 14 } { 3 }$

Question 2

Draw the line using the slope and y-intercept. ​
Y + 1 = 2x
​

Accepted Answer

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

Question 3

Find the slope of the line passing through the pair of points. ​
P(-4,3);Q(2,-9).
​

Accepted Answer

A) m = 1 
B) m = -7 
C) m = 4 
D) m = -2 
E) m = -1 
A) m = 1 
B) m = -7 
C) m = 4 
D) m = -2 
E) m = -1

Question 4

Find the slope of the line passing through the pair of points.? $\mathrm { P } ( 19 , \sqrt { 2 } ) ; \mathrm { Q } ( \sqrt { 2 } , 19 )$ ?

Accepted Answer

A) m = 19 
B) m = 1 
C) m = 2 
D) m = -1 
E) none of these 
A) m = 19 
B) m = 1 
C) m = 2 
D) m = -1 
E) none of these

Question 5

Determine whether the lines are parallel,perpendicular,or neither. ?
L1: y = $\frac { 1 } { 3 }$ x - 4
L2: y = $\frac { 1 } { 3 }$ x - 3
?

Accepted Answer

A) Perpendicular 
B) Parallel 
C) Neither 
A) Perpendicular 
B) Parallel 
C) Neither

Question 6

Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope m.Select correct answer for the line. ?
P(0,-7),m = 8
?

Accepted Answer

A)  $y = - 8 x + 8$ ?   
B)  $y = - 7 x - 7$   
C)  $$y = 8 x - 8$$   ? 
D)  $$y = 8 x - 7$$ ?   
E)  $$y = 8 x + 8$$ ?   ? 
A)  $y = - 8 x + 8$ ?   
B)  $y = - 7 x - 7$   
C)  $$y = 8 x - 8$$   ? 
D)  $$y = 8 x - 7$$ ?   
E)  $$y = 8 x + 8$$ ?   ?

Question 7

Use the intercept form to find the equation of the line with the given intercepts.The intercept form of the equation of a line with intercepts (a,0)and (0,b)is ?? $\frac { x } { a } + \frac { y } { b } = 1 , a \neq 0 , b \neq 0$ ?
X-intercept: (-3,0)
Y-intercept: (0,8)
?
?

Accepted Answer

A)  $$- 3 x + 8 y + 24 = 0$$ 
B)  $8 x + 3 y + 24 = 0$ 
C)  $8 x - 3 y + 24 = 0$ 
D)  $8 x - 3 y - 24 = 0$ 
E)  $- 3 x + 8 y - 24 = 0$ 
A)  $$- 3 x + 8 y + 24 = 0$$ 
B)  $8 x + 3 y + 24 = 0$ 
C)  $8 x - 3 y + 24 = 0$ 
D)  $8 x - 3 y - 24 = 0$ 
E)  $- 3 x + 8 y - 24 = 0$

Question 8

Find the slope and y-intercept (if possible)of the equation of the line.Select the line.? $$y = - \frac { 1 } { 6 } x + 6$$ ?

Accepted Answer

A)    m = -6
Y-intercept: (0,6) 
B)    ? m is undefined.y-intercept: (0,6) 
C) ?   ? $$m = - \frac { 1 } { 6 }$$
Y-intercept: (0,6) 
D)    m = -1
Y-intercept: (0,6) 
E) ?   m = 6
Y-intercept: (0,6) 
A)    m = -6
Y-intercept: (0,6) 
B)    ? m is undefined.y-intercept: (0,6) 
C) ?   ? $$m = - \frac { 1 } { 6 }$$
Y-intercept: (0,6) 
D)    m = -1
Y-intercept: (0,6) 
E) ?   m = 6
Y-intercept: (0,6)

Question 9

The following is the slope of line representing annual sale y in term of time x in year.Use the slope to interpret any change in annual sales for a one-year increase in time. ​
The line has a slope of m = 134.
​

Accepted Answer

A) No change in sales 
B) Sales decreasing 134 units/yr 
C) Sales increasing 134 units/yr 
D) None of the above 
A) No change in sales 
B) Sales decreasing 134 units/yr 
C) Sales increasing 134 units/yr 
D) None of the above

Question 10

Find the slope and y-intercept (if possible)of the equation of the line.Select the correct answer for the line.? $$3 x - 5 = 0$$ ?

Accepted Answer

A)    ?m is undefined.There is no y-intercept. 
B)    ?m = -3
Y-intercept: (0,5) 
C)    ?m is undefined.There is no y-intercept. 
D)    ?m = -5
Y-intercept: (0,3) 
E) ?   ?m is undefined.There is no y-intercept. 
A)    ?m is undefined.There is no y-intercept. 
B)    ?m = -3
Y-intercept: (0,5) 
C)    ?m is undefined.There is no y-intercept. 
D)    ?m = -5
Y-intercept: (0,3) 
E) ?   ?m is undefined.There is no y-intercept.

Question 11

A school district purchases a high-volume printer,copier,and scanner for $20,000. After 10 years,the equipment will have to be replaced.Its value at that time is expected to be $2,600.Select a linear equation giving the value of the equipment during the 10 years it will be in use.
?

Accepted Answer

A)  $V = 1740 t - 20,000$ 
B)  $V = - 1740 t - 20,000$ 
C)  $V = 1740 t + 20,000$ 
D)  $V = - 1740 t + 20,000$ 
E)  $V = - 1740 + 20,000 t$ 
A)  $V = 1740 t - 20,000$ 
B)  $V = - 1740 t - 20,000$ 
C)  $V = 1740 t + 20,000$ 
D)  $V = - 1740 t + 20,000$ 
E)  $V = - 1740 + 20,000 t$

Question 12

Determine whether the lines are parallel,perpendicular,or neither. ?
L1: y = $\frac { 9 } { 2 }$ x - 9
L2: y = - $\frac { 2 } { 9 }$ x - 2
?

Accepted Answer

A) Perpendicular 
B) Neither 
C) Parallel 
A) Perpendicular 
B) Neither 
C) Parallel

Question 13

Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope m.Select correct answer for the line.? $$\mathrm { P } ( - 7,6 ) , m = - 3$$ ?

Accepted Answer

A)  $$y = 6 x + 6$$   
B)  $$y = 6 x - 6$$   
C)  $$y = - 3 x - 15$$   ? 
D)  $$y = - 7 x - 7$$   
E)  $$y = 6 x + 6$$ ?   
A)  $$y = 6 x + 6$$   
B)  $$y = 6 x - 6$$   
C)  $$y = - 3 x - 15$$   ? 
D)  $$y = - 7 x - 7$$   
E)  $$y = 6 x + 6$$ ?

Question 14

Use the intercept form to find the equation of the line with the given intercepts.The intercept form of the equation of a line with intercepts (a,0)and (0,b)is? $\frac { x } { a } + \frac { y } { b } = 1 , a \neq 0 , b \neq 0$ ? ?
X-intercept: ( $- \frac { 5 } { 8 }$ ,0)
Y-intercept: $( 0 , - 3 )$ ?
?

Accepted Answer

A)  $- 24 x - 8 y - 5 = 0$ 
B)  $24 x + 8 y - 5 = 0$ 
C)  $- 24 x + 8 y + 5 = 0$ 
D)  $24 x + 5 y + 15 = 0$ 
E)  $24 x - 8 y + 5 = 0$ 
A)  $- 24 x - 8 y - 5 = 0$ 
B)  $24 x + 8 y - 5 = 0$ 
C)  $- 24 x + 8 y + 5 = 0$ 
D)  $24 x + 5 y + 15 = 0$ 
E)  $24 x - 8 y + 5 = 0$

Question 15

Find the slope of the line passing through the pair of points. ​
P(5,4);Q(9,20).​
​

Accepted Answer

A) m = 5 
B) m = 4 
C) m = 2 
D) m = 3 
E) m = 6 
A) m = 5 
B) m = 4 
C) m = 2 
D) m = 3 
E) m = 6

Question 16

You are driving on a road that has a 5% uphill grade.This means that the slope of the road is $$\frac { 5 } { 100 }$$ .Approximate the amount of vertical change in your position if you drive 400 feet. ?

Accepted Answer

A) 18 ft 
B) 21 ft 
C) 22 ft 
D) 19 ft 
E) 20 ft 
A) 18 ft 
B) 21 ft 
C) 22 ft 
D) 19 ft 
E) 20 ft

Question 17

A real estate office handles an apartment complex with 60 units.When the rent per unit is $98 per month,all 60 units are occupied.However,when the rent is $630 per month,the average number of occupied units drops to 46.Assume that the relationship between the monthly rent p and the demand x is linear. Select the equation of the line giving the demand x in terms of the rent p.
?

Accepted Answer

A) x = 532p + 62.58 
B) x = -38p - 62.58 
C) x = $- \frac { 1 } { 38 }$ p + 62.58 
D) x = -38p + 62.58 
E) x = 14p + 62.58 
A) x = 532p + 62.58 
B) x = -38p - 62.58 
C) x = $- \frac { 1 } { 38 }$ p + 62.58 
D) x = -38p + 62.58 
E) x = 14p + 62.58

Question 18

Use the intercept form to find the equation of the line with the given intercepts.The intercept form of the equation of a line with intercepts (a,0)and (0,b)is? $\frac { x } { a } + \frac { y } { b } = 1 , a \neq 0 , b \neq 0$ . ?
X-intercept: (3,0)
Y-intercept: (0,9)
?

Accepted Answer

A)  $3 x + 9 y - 27 = 0$ 
B)  $9 x + 3 y - 27 = 0$ 
C)  $3 x + 9 y + 27 = 0$ 
D)  $9 x + 3 y + 27 = 0$ 
E)  $$9 x - 3 y - 27 = 0$$ 
A)  $3 x + 9 y - 27 = 0$ 
B)  $9 x + 3 y - 27 = 0$ 
C)  $3 x + 9 y + 27 = 0$ 
D)  $9 x + 3 y + 27 = 0$ 
E)  $$9 x - 3 y - 27 = 0$$

Question 19

Find the slope and y-intercept (if possible)of the equation of the line.Select the correct answer for the line.? $$y = x - 3$$ ?

Accepted Answer

A) ?   m = -1
Y-intercept: (0,3) 
B)    m = 1
Y-intercept: (0,-3) 
C)    ? m is undefined.y-intercept: (0,3) 
D) ?   m = 3
Y-intercept: (0,3) 
E) ?   m = -3
Y-intercept: (0,-3) 
A) ?   m = -1
Y-intercept: (0,3) 
B)    m = 1
Y-intercept: (0,-3) 
C)    ? m is undefined.y-intercept: (0,3) 
D) ?   m = 3
Y-intercept: (0,3) 
E) ?   m = -3
Y-intercept: (0,-3)

Question 20

Find the slope and y-intercept (if possible)of the equation of the line.Select the correct answer for the line.? $$y - 3 = 0$$ ?

Accepted Answer

A)    m = -3
Y-intercept: (0,-3) 
B)    m = 0
Y-intercept: (0,3) 
C)    m is undefined.There is no y-intercept. 
D)    m = 0
There is no y-intercept. 
E) ?   m = 0
There is no y-intercept. 
A)    m = -3
Y-intercept: (0,-3) 
B)    m = 0
Y-intercept: (0,3) 
C)    m is undefined.There is no y-intercept. 
D)    m = 0
There is no y-intercept. 
E) ?   m = 0
There is no y-intercept.

Exam 3: Linear Equations in Two Variables

Find the slope of the line passing through the pair of points. ? (14,0), (0,-3) ?

Draw the line using the slope and y-intercept. ​ Y + 1 = 2x ​

Find the slope of the line passing through the pair of points. ​ P(-4,3);Q(2,-9). ​

Find the slope of the line passing through the pair of points.? P(19,2);Q(2,19)\mathrm { P } ( 19 , \sqrt { 2 } ) ; \mathrm { Q } ( \sqrt { 2 } , 19 )P(19,2​);Q(2​,19) ?

Determine whether the lines are parallel,perpendicular,or neither. ? L1: y = 13\frac { 1 } { 3 }31​ x - 4 L2: y = 13\frac { 1 } { 3 }31​ x - 3 ?

Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope m.Select correct answer for the line. ? P(0,-7),m = 8 ?

Find the slope and y-intercept (if possible)of the equation of the line.Select the line.? y=−16x+6y = - \frac { 1 } { 6 } x + 6y=−61​x+6 ?

The following is the slope of line representing annual sale y in term of time x in year.Use the slope to interpret any change in annual sales for a one-year increase in time. ​ The line has a slope of m = 134. ​

Find the slope and y-intercept (if possible)of the equation of the line.Select the correct answer for the line.? 3x−5=03 x - 5 = 03x−5=0 ?

A school district purchases a high-volume printer,copier,and scanner for $20,000. After 10 years,the equipment will have to be replaced.Its value at that time is expected to be $2,600.Select a linear equation giving the value of the equipment during the 10 years it will be in use. ?

Determine whether the lines are parallel,perpendicular,or neither. ? L1: y = 92\frac { 9 } { 2 }29​ x - 9 L2: y = - 29\frac { 2 } { 9 }92​ x - 2 ?

Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope m.Select correct answer for the line.? P(−7,6),m=−3\mathrm { P } ( - 7,6 ) , m = - 3P(−7,6),m=−3 ?

Find the slope of the line passing through the pair of points. ​ P(5,4);Q(9,20).​ ​

You are driving on a road that has a 5% uphill grade.This means that the slope of the road is 5100\frac { 5 } { 100 }1005​ .Approximate the amount of vertical change in your position if you drive 400 feet. ?

Find the slope and y-intercept (if possible)of the equation of the line.Select the correct answer for the line.? y=x−3y = x - 3y=x−3 ?

Find the slope and y-intercept (if possible)of the equation of the line.Select the correct answer for the line.? y−3=0y - 3 = 0y−3=0 ?

Rectangular Coordinates

Graphs of Equations

Functions

Analyzing Graphs of Functions

A Library of Parent Functions

Transformations of Functions

Combinations of Functions Composite Functions

Inverse Functions

Mathematical Modeling and Variation

Quadratic Functions and Models

Polynomial Functions of Higher Degree

Polynomial and Synthetic Division

Complex Numbers

Zeros of Polynomial Functions

Rational Functions

Nonlinear Inequalities

Exponential Functions and Their Graphs

Logarithmic Functions and Their Graphs

Properties of Logarithms

Exponential and Logarithmic Equations

Exponential and Logarithmic Models

Radian and Degree Measure

Trigonometric Functions The Unit Circle

Right Triangle Trigonometry

Trigonometric Functions of Any Angle

Graphs of Sine and Cosine Functions

Graphs of Other Trigonometric Functions

Inverse Trigonometric Functions

Applications and Models

Using Fundamental Identities

Verifying Trigonometric Equations

Solving Trigonometric Equations

Sum and Difference Formulas

Multiple Angle and Product to Sum Formulas

Law of Sines

Law of Cosines

Vectors in the Plane

Vectors and Dot Products

Trigonometric Form of a Complex Number

Linear and Nonlinear Systems of Equations

Two Variable Linear Systems

Multivariable Linear Systems

Partial Fractions

Systems of Inequalities

Linear Programming

Matrices and Systems of Equations

Operations With Matrices

The Inverse of a Square Matrix

The Determinant of a Square Matrix

Applications of Matrices and Determinants

Sequences and Series

Arithmetic Sequences and Partial Sums

Geometric Sequences and Series

Mathematical Induction

The Binomial Theorem

Counting Principles

Probability

Lines

Introduction to Conics Parabolas

Ellipses

Hyperbolas

Rotation of Conics

Parametric Equations

Draw the line using the slope and y-intercept. Y + 1 = 2x

Find the slope of the line passing through the pair of points. P(-4,3);Q(2,-9).

Find the slope of the line passing through the pair of points.? $\mathrm { P } ( 19 , \sqrt { 2 } ) ; \mathrm { Q } ( \sqrt { 2 } , 19 )$ ?

Determine whether the lines are parallel,perpendicular,or neither. ? L1: y = $\frac { 1 } { 3 }$ x - 4 L2: y = $\frac { 1 } { 3 }$ x - 3 ?

Find the slope and y-intercept (if possible)of the equation of the line.Select the line.? $y = - \frac { 1 } { 6 } x + 6$ ?

The following is the slope of line representing annual sale y in term of time x in year.Use the slope to interpret any change in annual sales for a one-year increase in time. The line has a slope of m = 134.

Find the slope and y-intercept (if possible)of the equation of the line.Select the correct answer for the line.? $3 x - 5 = 0$ ?

Determine whether the lines are parallel,perpendicular,or neither. ? L1: y = $\frac { 9 } { 2 }$ x - 9 L2: y = - $\frac { 2 } { 9 }$ x - 2 ?

Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope m.Select correct answer for the line.? $\mathrm { P } ( - 7,6 ) , m = - 3$ ?

Find the slope of the line passing through the pair of points. P(5,4);Q(9,20).

You are driving on a road that has a 5% uphill grade.This means that the slope of the road is $\frac { 5 } { 100 }$ .Approximate the amount of vertical change in your position if you drive 400 feet. ?

Find the slope and y-intercept (if possible)of the equation of the line.Select the correct answer for the line.? $y = x - 3$ ?

Find the slope and y-intercept (if possible)of the equation of the line.Select the correct answer for the line.? $y - 3 = 0$ ?