High School Math : High School Math

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #16 : How To Identify A Point In Pre Algebra

You are given an ordered pair, . Which of the two values of the ordered pair corresponds to the following statement:

"Moving a horizontal distance to the right from the origin?"

Possible Answers:

neither

both

Correct answer:

Explanation:

When we're given a point, , the  value corresponds to the distance from the origin horizontally (with negative distance corresponding to moving to the left). Thus, our  value in this case is  and thus that is our answer. 

Example Question #1 : Graphing Lines

What is the y-intercept of the line ?

Possible Answers:

Correct answer:

Explanation:

The y-intercept is the point at which the line intersects the y-axis.

It does this at .

We plug  in for  in our equation, , to give us .

Anything multiplied by  is , so .

Our coordinates for the y-intercept are .

Example Question #1 : How To Graph A Point In Pre Algebra

Graph the point .

Possible Answers:

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Correct answer:

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Explanation:

The first number in the ordered pair indicates how far left or right the point resides from the origin. The second number in the ordered pair indicates how far up or down the point resides from the origin. Numbers that are positve are located on the right side and above the origin while negative numbers are located to the left of or below the origin. This point resides to 2 units to the right and 1 unit above the origin.

Example Question #2 : How To Graph A Point In Pre Algebra

Graph the point .

Possible Answers:

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Correct answer:

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Explanation:

The first number in the ordered pair indicates how far left or right the point resides from the origin. The second number in the ordered pair indicates how far up or down the point resides from the origin. Numbers that are positve are located on the right side and above the origin while negative numbers are located to the left of or below the origin. This point is located 3 units to the left and 7 units above the origin.

Example Question #3 : How To Graph A Point In Pre Algebra

Graph the point

Possible Answers:

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Correct answer:

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Explanation:

The first number in the ordered pair indicates how far left or right the point resides from the origin. The second number in the ordered pair indicates how far up or down the point resides from the origin. Numbers that are positve are located on the right side and above the origin while negative numbers are located to the left of or below the origin.This point is located 4 units to the right and 5 units below the origin.

Example Question #1141 : High School Math

What is the slope of the line that contains the points

 and 

Possible Answers:

Correct answer:

Explanation:

To find the slope of a line with two points you must properly plug the points into the slope equation for two points which is

We must then properly assign the points to the equation as  and .

In this case we will make  our  and  our .

Plugging the points into the equation yields 

Perform the math to arrive at 

The answer is .

Example Question #2 : How To Graph A Line In Pre Algebra

What is the slope of the line ?

Possible Answers:

Correct answer:

Explanation:

In the standard form of a line  the slope is represented by the variable .

In this case the line  has a slope of .

The answer is .

Example Question #2 : Graphing Lines

The equation of a line is .

What are the slope and the y-intercept?

Possible Answers:

Slope:

y-intercept:

Slope:

y-intercept:

Slope:

y-intercept:

Slope:

y-intercept:

Correct answer:

Slope:

y-intercept:

Explanation:

The equation of the line is written in slope-intercept form, , where  is the slope and  is the y-intercept. In this example, the y-intercept is a negative number.

Example Question #53 : Graphing

What is the slope of the line that contains the points  and ?

Possible Answers:

Correct answer:

Explanation:

To find the slope of a line with two points we must properly plug the points into the slope equation:

We must then assign the variables  and .

In this case we will plug in for  and  for .

Plugging the points into the equation yields .

Perform the math to arrive at .

The answer is.

 

Example Question #1 : How To Find An Angle In A Pentagon

What is the interior angle measure of any regular pentagon?

Possible Answers:

Correct answer:

Explanation:

 

To find the angle of any regular polygon you find the number of sides . For a pentagon, .

You then subtract 2 from the number of sides yielding 3.

Take 3 and multiply it by 180 degrees to yield the total number of degrees in the regular pentagon. 

Then to find one individual angle we divide 540 by the total number of angles 5, 

The answer is .

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