Question 1

In which quadrant does the given point lie?

Accepted Answer

A)  Quadrant II 
B)  Quadrant III 
C)  Quadrant IV 
D)  Quadrant I 
E)  None of these 
A)  Quadrant II 
B)  Quadrant III 
C)  Quadrant IV 
D)  Quadrant I 
E)  None of these

Question 2

Find the equation of the line passing through the points whose coordinates are   .

Accepted Answer

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

Question 3

Graph by using the slope and y-intercept:

Accepted Answer

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

Question 4

What values are excluded from the domain of the function   ?

Accepted Answer

A)    
B)  0 
C)  None 
D)    
E)  7 
A)    
B)  0 
C)  None 
D)    
E)  7

Question 5

A Boeing 747 jet takes off from Boston's Logan Airport, which is at sea level, and climbs to a cruising altitude of 27,000 ft at a constant rate of 1100 ft/min.

A. Write a linear equation for the height of the plane in terms of the time after takeoff.
B. Use your equation to find the height of the plane 12 min after takeoff.

Accepted Answer

A)  (a)   ; (b) 13,800 ft 
B)  (a)   ; (b) 40,200 ft 
C)  (a)   ; (b) 13,200 ft 
D)  (a)   ; (b) 40,200 ft 
E)  (a)   ; (b) 13,200 ft 
A)  (a)   ; (b) 13,800 ft 
B)  (a)   ; (b) 40,200 ft 
C)  (a)   ; (b) 13,200 ft 
D)  (a)   ; (b) 40,200 ft 
E)  (a)   ; (b) 13,200 ft

Question 6

Find the equation of the line that contains the given point and has the given slope. (5, 1) , m =   .

Accepted Answer

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

Question 7

Is the line that contains the points (-3, 7) and (9, -4) perpendicular to the line that contains the points (4, 3) and (-7, -9)?

Accepted Answer

A)  No 
B)  Insufficient information 
C)  Yes 
A)  No 
B)  Insufficient information 
C)  Yes

Question 8

Find the equation of the line passing through the points whose coordinates are   .

Accepted Answer

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

Question 9

State whether the following relation is a function.

Accepted Answer

A)  Not a function 
B)  Insufficient information 
C)  Function 
A)  Not a function 
B)  Insufficient information 
C)  Function

Question 10

Graph the solution set of the inequality given.

Accepted Answer

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

Question 11

The scatter diagram below shows the record times for races of different lengths at a junior high school track meet, where x is the length of the race in meters and y is the time of race in seconds. Suppose the school adds a 500-meter race. How will that change the scatter plot? Will the graph have the same number of points or an additional point?

Accepted Answer

A)  The point will be graphed with an x-coordinate of 500 and a y-coordinate equal to the record time for the 500-meter race. The graph will not have an additional point. 
B)  The point will be graphed with an x-coordinate of 500 and a y-coordinate equal to the record time for the 500-meter race. The graph will have an additional point. 
C)  The point will be graphed with an x-coordinate equal to the record time for the 500-meter race and a y-coordinate of 500. The graph will have an additional point. 
D)  The point will be graphed with an x-coordinate equal to the record time for the 500-meter race and a y-coordinate of 500. The graph will not have an additional point. 
E)  The point will be graphed with an x-coordinate of 500 and a y-coordinate of 500. The graph will not have an additional point. 
A)  The point will be graphed with an x-coordinate of 500 and a y-coordinate equal to the record time for the 500-meter race. The graph will not have an additional point. 
B)  The point will be graphed with an x-coordinate of 500 and a y-coordinate equal to the record time for the 500-meter race. The graph will have an additional point. 
C)  The point will be graphed with an x-coordinate equal to the record time for the 500-meter race and a y-coordinate of 500. The graph will have an additional point. 
D)  The point will be graphed with an x-coordinate equal to the record time for the 500-meter race and a y-coordinate of 500. The graph will not have an additional point. 
E)  The point will be graphed with an x-coordinate of 500 and a y-coordinate of 500. The graph will not have an additional point.

Question 12

Graph by using the slope and y-intercept:

Accepted Answer

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

Question 13

Given the function   , find

Accepted Answer

A)  6 
B)  9 
C)  0 
D)  3 
E)  -1 
A)  6 
B)  9 
C)  0 
D)  3 
E)  -1

Question 14

Find the equation of the line that contains the points P1(-3, -4) and P2(5, -4).

Accepted Answer

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

Question 15

Let f be a linear function. If   and   , find   .

Accepted Answer

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

Question 16

Graph:

Accepted Answer

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

Question 17

Graph the ordered pairs below.   and

Accepted Answer

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

Question 18

Given the function   , find

Accepted Answer

A)  7 
B)  29 
C)  5 
D)  30 
E)  8 
A)  7 
B)  29 
C)  5 
D)  30 
E)  8

Question 19

An account executive receives a base salary plus a commission. With $17,000 in monthly sales, the account executive receives $1700. On $45,000 in monthly sales, the account executive receives $2700. 
A. Determine a linear function that will yield the compensation of the sales executive for a given amount of monthly sales. Round any numbers in your function to the nearest hundredth.
B. Use this model, with coefficients rounded to the nearest hundreth, to determine the account executive's compensation for $36,700 in monthly sales. Round to the nearest dollar.

Accepted Answer

A)  (a)   ; (b) $1468 
B)  (a)   ; (b) $1093 
C)  (a)   ; (b) $4763 
D)  (a)   ; (b) $2561 
E)  (a)   ; (b) $1468 
A)  (a)   ; (b) $1468 
B)  (a)   ; (b) $1093 
C)  (a)   ; (b) $4763 
D)  (a)   ; (b) $2561 
E)  (a)   ; (b) $1468

Question 20

The slope of a line is   . What is the slope of any line perpendicular to this line?

Accepted Answer

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

In which quadrant does the given point lie?

Find the equation of the line passing through the points whose coordinates are .

Graph by using the slope and y-intercept:

What values are excluded from the domain of the function ?

Find the equation of the line that contains the given point and has the given slope. (5, 1) , m = .

Is the line that contains the points (-3, 7) and (9, -4) perpendicular to the line that contains the points (4, 3) and (-7, -9)?

Find the equation of the line passing through the points whose coordinates are .

State whether the following relation is a function.

Graph the solution set of the inequality given.

Graph by using the slope and y-intercept:

Given the function , find

Find the equation of the line that contains the points P₁(-3, -4) and P₂(5, -4).

Let f be a linear function. If and , find .

Graph:

Graph the ordered pairs below. and

Given the function , find

The slope of a line is . What is the slope of any line perpendicular to this line?

Real Numbers and Variable Expressions

First-Degree Equations and Inequalities

Geometry

Systems of Linear Equations and Inequalities

Polynomials

Factoring

Rational Expressions

Exponents and Radicals

Quadratic Equations

Functions and Relations

Exponential and Logarithmic Functions

Filters

Exam 4: Linear Functions and Inequalities in Two Variables

In which quadrant does the given point lie?

Find the equation of the line passing through the points whose coordinates are .

Graph by using the slope and y-intercept:

What values are excluded from the domain of the function ?

Find the equation of the line that contains the given point and has the given slope. (5, 1) , m = .

Is the line that contains the points (-3, 7) and (9, -4) perpendicular to the line that contains the points (4, 3) and (-7, -9)?

Find the equation of the line passing through the points whose coordinates are .

State whether the following relation is a function.

Graph the solution set of the inequality given.

Graph by using the slope and y-intercept:

Given the function , find

Find the equation of the line that contains the points P1(-3, -4) and P2(5, -4).

Let f be a linear function. If and , find .

Graph:

Graph the ordered pairs below. and

Given the function , find

The slope of a line is . What is the slope of any line perpendicular to this line?

Real Numbers and Variable Expressions

First-Degree Equations and Inequalities

Geometry

Systems of Linear Equations and Inequalities

Polynomials

Factoring

Rational Expressions

Exponents and Radicals

Quadratic Equations

Functions and Relations

Exponential and Logarithmic Functions

Filters

Find the equation of the line that contains the points P₁(-3, -4) and P₂(5, -4).