All GED Math Resources
Example Questions
Example Question #33 : Word Problems In Algebra
A number, when multiplied by gives us a result of . Find the number.
Lets say that this number is . If we follow what the question is saying, we come up with the equation:
We will divide both sides by 4 to isolate on the left side.
So,
We simplify:
Example Question #721 : Ged Math
This winter, it snowed ten more inches than five times the amount of snow the previous winter, during which it snowed one half as much as the winter before that. If two years ago it snowed twenty inches, how much did it snow this winter?
For simplicity, let's call our years , , and , with being the amount of snow it snowed two years ago, being the amount of snow it snowed last year, and being the amount of snow it snowed this year. Now, we know that year is . Based on this, we can say that is . Finally, we know that year year could be written:
Based on our data, this is:
Example Question #722 : Ged Math
Marge and William are running away from each other in opposite directions. Marge is running at a rate of , while William is running at a rate of . In how many minutes will they be from each other?
Every second, you know that Marge and William will become a total of or . Now, you can use the simple work formula for distance:
or, for our data,
(Remember kilometers is meters.)
Thus, solving for you get:
This is in seconds, though. You need minutes. To convert, you need to divide by :
Example Question #721 : Ged Math
Which of the following equations is written in slope-intercept form?
Slope-intercept form is written as .
There is only one answer choice in this form:
Example Question #721 : Ged Math
Rewrite the following equation in slope-intercept form.
The slope-intercept form of a line is: , where is the slope and is the y intercept.
Below are the steps to get the equation into slope-intercept form.
Example Question #722 : Ged Math
Refer to the above red line. What is its equation in slope-intercept form?
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 :
Example Question #4 : Slope Intercept Form
What is the y-intercept of the line with the following equation:
There are two ways that you can find the y-intercept for an equation. You could substitute in for . This would give you:
Simplifying, you get:
However, another way to do this is by finding the slope-intercept form of the line. You do this by solving for :
Just divide everything by :
Remember that the slope-intercept form gives you the intercept as the final constant. Hence, it is as well!
Example Question #723 : Ged Math
What is the y-intercept for the following equation:
There are two ways that you can find the y-intercept for an equation. You could substitute in for . This would give you:
Simplifying, you get:
However, another way to do this is by finding the slope-intercept form of the line. You do this by solving for . Indeed, this is very, very easy. Recall that the slope intercept form is:
This means that, as written, your equation obviously has . You don't even have to do all of the simplification!
Example Question #6 : Slope Intercept Form
What is the equation of the line between and ?
In order to figure this out, you should use your slope-intercept formula. Remember that the y-intercept is the place where is zero. Therefore, the point gives you your y-intercept. It is . Now, to find the slope, recall the slope equation, namely:
For your points, this would be:
This is your slope.
Now, recall that the point-slope form of an equation is:
, where is your slope and is your y-intercept
Thus, your equation will be:
Example Question #4 : Slope Intercept Form
Which of the following equations has a slope of ?
In order to compute the slope of a line, there are several tools you can use. For this question, try to use the slope-intercept form of a line. Once you get the equation into this form, you basically can "read off" the slope right from the equation! Recall that the slope-intercept form of an equation is:
Now, looking at each of your options, you know that you can eliminate two immediately, as their slopes obviously are not :
The next is almost as easy:
When you solve for , your coefficient value for is definitely not equal to :
Next, is not correct either. When you start to solve, you should notice that will always have a negative coefficient. This means that it certainly will not become when you finish out the simplification.
Thus, the correct answer is:
Really, all you have to pay attention to is the term. First, you will subtract from both sides:
Then, just divide by , and you will have !