Solving Equations

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by 1NOMepowers
Last updated 5 years ago

Algebra I

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Solving Equations

Solving Equations



Adding and Subtracting

For adding and subtracting start by addingor subtracting the opposite for example:a+2=7 you doa+2-2=7-2The 2-2 would cancel outand you would be left with a=7-2 which 7-2 equals 5so the answer would be a=5.Now lets try a subtracting equation:x-1=3First add the opposite and the opposite of -1 is +1.x-1+1=3+1The -1+1 cancels out and you are left with x=3+1now solve the equation3+1=4 so the answer is x=4.In adding and subtracting the sign changes so if the number was -1 it would change to +1.

For multiplication and division you multiply or divide the opposite for example:9n=81you would divide both sides of the equal sign by 9.9/9n=81/9The 9/9 would cancel out and you would be left with n=81/9 and 81/9=9 so the answer is n=9.For dividing you would multiply both sides for example:y/16=3 so you would multiply 16 on both sides of the equal sign y/16(16)=3(16) 16(16) cancels out and you are left with y=3(16)which equals y=48In multipling and dividing the sign stays the same so if the number is negative it stays negative.

Multiplication and Division

You start a two step equation by getting rid of the adding or subtracting part of the equation for example:5a-8=42Start by adding the opposite and switch -8 to +85a-8+8=42+8.The -8+8 would cancel out, you would do 42+8=50.Now you would be left with 5a=50 and all you do is the same thing you would do with a one step multiplication equation. You would do 5/5a=50/5and the 5/5 cancels and you do 50/5 which equals 10. In conclusion a=10.A two step equation is the same thing as two one step equations put together, but you have to do the adding and subtracting part first.


One Step Subtracting Equation

One Step Adding Equation

One Step Division Equation

One Step Multiplication Equation

Two Step Equation


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