PCAT PCAT Certifications PCAT-SECTION3 Questions & Answers

• Question 11:

  Which line is parallel to the line y + 3x = 8?

  

  A. Option A

  B. Option B

  C. Option C

  D. Option D

  Correct Answer: C

• Question 12:

  Evaluate the following derivative: d/dx(100)

  A. 0

  B. 10

  C. 10x

  D. 100

  Correct Answer: A

  In evaluating the derivative, you should note that the function is a number or a constant because it has no dependence on the variable,x. Thus, the derivative of a constant is 0 or d/dx(100) = 0

• Question 13:

  Which line is perpendicular to the line y + 3x = 8?

  

  A. Option A

  B. Option B

  C. Option C

  D. Option D

  Correct Answer: B

• Question 14:

  The three most commonly used temperature scales are Fahrenheit (°F), Celsius (°C), and Kelvin (K). They are based on the freezing point and boiling point of water as shown below.

  

  The formula for temperature conversion between the Fahrenheit and Celsius scales is

  

  What is the linear equation relating temperature in Fahrenheit to temperature in Kelvin?

  

  A. Option A

  B. Option B

  C. Option C

  D. Option D

  Correct Answer: D

• Question 15:

  The three most commonly used temperature scales are Fahrenheit (°F), Celsius (°C), and Kelvin (K). They are based on the freezing point and boiling point of water as shown below.

  

  The formula for temperature conversion between the Fahrenheit and Celsius scales is

  

  What is the linear equation relating temperature in Celsius to temperature in Fahrenheit?

  

  A. Option A

  B. Option B

  C. Option C

  D. Option D

  Correct Answer: C

• Question 16:

  The three most commonly used temperature scales are Fahrenheit (°F), Celsius (°C), and Kelvin (K). They are based on the freezing point and boiling point of water as shown below.

  

  The formula for temperature conversion between the Fahrenheit and Celsius scales is

  

  What is the slope of the conversion formula relating temperature in Fahrenheit to temperature in Celsius?

  

  A. Option A

  B. Option B

  C. Option C

  D. Option D

  Correct Answer: A

  When the equation is Adapted to the equation of a line, it can readily be seen that the slopeis.However, because the equation has physical significance, it is important that the units associated with the slope are clearly indicated. Because the slope is the ratio.

  

• Question 17:

  What is the slope of a line described by 3x + 2y 12 = 0?

  A. 3/2 B. -3/2

  C. 2/3

  D. -2/3

  Correct Answer: B

  The slope can be identified by adapting the equation to the formal equation of a line or y=mx+bor

  

• Question 18:

  What is the equation of a line that passes through the point (3, 1) and has a -2/3?

  

  A. Option A

  B. Option B

  C. Option C

  D. Option D

  Correct Answer: C

  You can use the information provided by the specific point and the value of the slope to derive the equation for the line:

  

• Question 19:

  What is the slope of a line that passes through the points (5, 2) and (1, 3)?

  A. 1/3

  B. -1/3

  C. 3

  D. 5

  Correct Answer: A

  

  If the first point (5 , 2) = (x1,y1) and the second point ( 8 , 3 ) = (x2,y2), then substituting these coordinate values into the definition for the slope yields

  

• Question 20:

  Solve for x: (4x 1)2 = 121

  A. -3

  B. 4

  C. 3

  D. 6

  Correct Answer: C

  This equation can be solved by first taking the square root of both sides of the equation (4x 1)2 = 121 or