Standard Form – Practice Problems

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When writing linear equations, the equation can be written in more than one form. Most common is the slope-intercept form, but point-slope form and standard form (general form) also have advantages. To answer linear equation problems, how do you know which form to use?

That depends on the unknown value, and this is why you must understand all the forms. For this video, we will explore the standard form of linear equations. The standard form of a linear equation is: Ax + By = C. There are some restrictions for the use of this form. Both A and B cannot be equal to zero at the same time, both A and B must be integers, and usually A is a positive number. To understand the real value of this form, graph the information.

You will see the graph shows all the combinations possible combinations of x and y to sum to the constant – the C-value. The x-intercept at point ( x, 0 ) is the maximum value for x, and the y-intercept at point ( 0, y ) is the maximum point for y. The standard form is valuable in the real world for situations when you need to figure out the combinations of two variables to sum to a constant. To learn more about the standard form of linear equations, sit back, relax, and take a look at this video.

Use slope to create equations of the line.

CCSS.MATH.CONTENT.HSG.GPE.B.5

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Exercises in this Practice Problem
Determine the number of glasses of lemonade that are sold.
Describe how to graph the equation.
Decide how many marbles and colored pencils Sue can buy.
Explain how you can determine the number of large scoops of ice cream.
For standard form, determine all parts of the equation.
Decide which equation in standard form corresponds to the graph.