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Please disable adblock in order to continue browsing our website.Unfortunately, in the last year, adblock has now begun disabling almost all images from loading on our site, which has lead to mathwarehouse becoming unusable for adlbock users. If you're seeing this message, it means we're having trouble loading external resources on our website. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. We know that equations can be written in slope intercept form or standard form. Let's quickly revisit standard form. Remember standard form is written: Ax +By= C We can pretty easily translate an equation from slope intercept form into standard form. Let's look at an example. Example 1: Rewriting Equations in Standard FormRewrite y = 2x - 6 in standard form. Standard Form: Ax + By = C This means that we want the variables (x & y) to be on the left-hand side and the constant (6) to be on the right-hand side. When we move terms around, we do so exactly as we do when we solve equations! So, remember... Whatever you do to one side of the equation, you must do to the other side! SolutionThat was a pretty easy example. We just need to remember that our lead coefficient should be POSITIVE! Let's take a look at another example that involves fractions. There is one other rule that we must abide by when writing equations in standard form. Equations that are written in standard form: Ax + By = C CANNOT contain fractions or decimals! A, B, and C MUST be integers! Let's take a look at an example. Example 2: Standard Form EquationsRewrite y = 1/2x + 4 in standard form. We now know that standard form equations should not contain fractions. Therefore, let's first eliminate the fractions. Since the only fraction is is 1/2, we can multiply all terms by the denominator (2) to eliminate the fraction. SolutionNow, let's look at an example that contains more than one fraction with different denominators. Need More Help?If you find that you need more examples or more practice problems, check out the Algebra Class E-course. You'll find additional examples on video, lots of practice problems with detailed solutions and little "tips" to help you through! Example 3: Eliminating FractionsRewrite y = 3/4x - 1/8 in standard form. Our first step is to eliminate the fractions, but this becomes a little more difficult when the fractions have different denominators! We need to find the least common multiple (LCM) for the two fractions and then multiply all terms by that number! SolutionSlope intercept form is the more popular of the two forms for writing equations. However, you must be able to rewrite equations in both forms. For standard form equations, just remember that the A, B, and C must be integers and A should not be negative.
Need More Help With Your Algebra Studies? Get access to hundreds of video examples and practice problems with your subscription! Click here for more information on our affordable subscription options. Not ready to subscribe? Register for our FREE Pre-Algebra Refresher course. 1. Which of the following are true statements?
2. Which of the following linear equations is in standard form?
A Premium account gives you access to all lesson, practice exams, quizzes & worksheets Access to all video lessons Quizzes, practice exams & worksheets Certificate of Completion About This Quiz & WorksheetThis quiz/worksheet includes questions designed to measure how strong your grasp is on writing equations in standard form. You'll be tested on fundamentals of the topic as well as example problems. Quiz & Worksheet GoalsThis quiz/worksheet combo contains questions and problems about:
Skills Practiced
Additional LearningTo learn more about standard form, you can look over the corresponding lesson, How to Write an Equation in Standard Form. This lesson goes over the following objectives:
Explore our library of over 84,000 lessonsHow do you write an equation in standard form?The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it's pretty easy to find both intercepts (x and y). This form is also very useful when solving systems of two linear equations.
How do you write fractions in standard form?A fraction can be converted into standard form by dividing the numerator and denominator by their greatest common divisor.
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