GRE Subject Test: Math : Distance & Midpoint Formulas

Study concepts, example questions & explanations for GRE Subject Test: Math

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Example Questions

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Example Question #31 : Calculus

Given two points,  and , find the midpoint.

Possible Answers:

Correct answer:

Explanation:

Step 1: Define midpoint. The midpoint is a point located between two given points.. If I draw a line through these points, I get a straight line

Step 2: The midpoint formula is: 

Step 3. Plug in the values:



Step 4: Simplify each fraction in Step 3:



Step 5: Convert each fraction to a decimal from step 4:



The midpoint is 

Example Question #31 : Calculus

Find the length of the line that connects the points:  and .

Possible Answers:

Correct answer:

Explanation:

Step 1: Recall the distance formula:



Step 2: Find ...



Step 3: Substitute the values into the equation:


Reduce the parentheses:


Evaluate the exponents and add:



Step 4: Reduce  into lowest terms...



Using rule of square roots, multiplying two roots with the same value on the inside just gives me the inside value..




The length of the line that connects both points is .

Example Question #31 : Gre Subject Test: Math

What is the distance between  and 

Possible Answers:

Correct answer:

Explanation:

Step 1: Plug in values into the distance formula:



Step 2: Evaluate the inside...



Step 3: Simplify...

Example Question #33 : Calculus

Find the midpoint between  and 

Possible Answers:

Correct answer:

Explanation:

To find the midpoint you must use the equation

 Insert numbers

Example Question #41 : Gre Subject Test: Math

Find the distance between the two points

Possible Answers:

Correct answer:

Explanation:

You must use the distance formula

 Fill in with the points

  Solve

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