GED Math : Standard Form

Study concepts, example questions & explanations for GED Math

varsity tutors app store varsity tutors android store

Example Questions

← Previous 1 3

Example Question #1 : Standard Form

Which of the following is an example of an equation of a line written in standard form?

Possible Answers:

Correct answer:

Explanation:

The standard form of a line is , where all constants are integers, i.e. whole numbers.

Therefore, the equation written in standard form is .

Example Question #1 : Standard Form

Line

Refer to the above red line. What is its equation in standard form?

Possible Answers:

Correct answer:

Explanation:

First, we need to find the slope of the above line. 

Given two points, , the slope can be calculated using the following formula:

Set :

Second, we note that the -intercept is the point 

Therefore, in the slope-intercept form of a line, we can set  and :

Since we are looking for standard form - that is,  - we do the following:

or 

Example Question #2 : Standard Form

Write the following equation in standard form:

Possible Answers:

Correct answer:

Explanation:

Standard form of an equation is

.

Rearrange the given equation to make it look like the above equation as follows:

 

Example Question #4 : Standard Form

Rewrite the following equation in standard form.

Possible Answers:

Correct answer:

Explanation:

The standard form of a line is , where are integers. 

We therefore need to rewrite so it looks like .

The steps to do this are below:

 

Example Question #3 : Standard Form

Rewrite the equation in standard form:  

Possible Answers:

Correct answer:

Explanation:

To rewrite in standard form, we will need the equation in the form of:

Subtract  on both sides.

Regroup the variables on the left, and simplify the right.

The answer is:  

Example Question #6 : Standard Form

Rewrite the equation in standard form.

Possible Answers:

Correct answer:

Explanation:

The given equation is in point-slope form.

The standard form is:  

Distribute the right side.

Subtract  on both sides.

Add 2 on both sides.

The answer is:  

Example Question #7 : Standard Form

Rewrite the equation in standard form:  

Possible Answers:

Correct answer:

Explanation:

The standard form of a linear equation is:  

Reorganize the terms.

Add  on both sides.

Subtract  on both sides.

Subtract four on both sides.

The answer is:  

Example Question #8 : Standard Form

Given the slope of a line is  and a point is , write the equation in standard form.

Possible Answers:

Correct answer:

Explanation:

Write the slope-intercept form of a linear equation.

Substitute the point and the slope.

Solve for the y-intercept, and then write the equation of the line.

The equation in standard form is:  

Subtract  from both sides.

The answer is:  

Example Question #4 : Standard Form

Which of the following is NOT in standard form?

Possible Answers:

Correct answer:

Explanation:

The equation in standard form of a linear equation is:  

The equation in standard form of a parabolic equation is:  

All of the following equations are in standard form except:

This equation is in point-slope format:  

The answer is:  

Example Question #9 : Standard Form

Write the following equation in standard form.

Possible Answers:

Correct answer:

Explanation:

The standard form of a linear equation is:  

Distribute the right side.

Subtract  on both sides.

Add 2 on both sides.

The answer is:  

← Previous 1 3
Learning Tools by Varsity Tutors

Incompatible Browser

Please upgrade or download one of the following browsers to use Instant Tutoring: