Algebra: Chapter 3-2, pages 119.
The Multiplication Properties of Equality (I call these 1 STEP EQUATIONS)
You can add, subtract, multiply or divide the same number to both sides of an equation and get an equivalent equation. We call these the addition and multiplication property of equality.
If `a=b`, then `a+c=b+c` and if `a=b`, then `ac=bc`
Subtraction and division are opposites of addition and multiplication, so we have no problems there. There are lots of examples at my favorite site, Purplemath, give these a look! Remember to show ALL the STEPS and that you can do these either vertically or horizontally. DON’T TAKE SHORTCUTS!
Examples: (Multiplication)
`y/9=14`, we will multiply both sides by `9/1` or just `9`
`9* (y/9)=9*14`, remembering that `9/9 =1`, we have
`y=126`
Whatever you do to an equation, do the S A M E thing to B O T H sides of that equation! If its `x+7`, then subtract 7 from both sides. If its `x-6`, then add 6 to both sides. If its `5x`, then divide both sides by `5` and if its `x/3`, then multiply both sides by `3`! Always do the opposite operation in these 1 step equations.
Two of tonight’s homework problems solved by MrE are here! Just click it
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Algebra 1a: Chapter 2, Lesson 4, page 71.
Subtraction of Rational Numbers.
See yesterday’s notes, Day 29! In addition, I have a podcast on iTunes that talks about this and tomorrow’s lesson. Just search on iTunes “MrE Algebra” and you’ll find it. Click here and you can check it out here on your desktop!