Algebra, Chapter 2, Lesson 7, page 89.
Using the Distributive Property
The distributive property of multiplication over addition and subtraction is:
`a(b+c)=ab+ac` and `a(b−c)=ab−ac`
You can also combine LIKE TERMS ONLY IF THE VARIABLE AND THE EXPONENT OF THE VARIABLE ARE EXACTLY THE SAME!
Examples, (remember to use the wacky arrows!):
`9(x – 5) = 9x – 9(5) = 9x – 45`
`-4(x – 2y + 3z) = -4x +(-4)(-2y) + (-4)(3z) = -4x -4(-2y) -4(3z)`
`= -4x + 8y – 12z`
(if it comes up, don’t forget the change-change or bling-bling, double negative thingy …)
Here is a link from purplemath.com about the distributive property with more examples.
Two of tonight’s homework problems solved by MrE are here! Just click it!
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Algebra 1a: Chapter 1, Lesson 9, page 40.
Using Formulas
A formula is an equation that shows a relationship between 2 or more variables. The formula for the area of a rectangle is `a = l⋅w`. Given the length and width of an object, you can easily find the area. Be careful, however, and make sure that you are using consistent UNITS in the formula. Do not mix up seconds with minutes or hours or inches with feet or miles. The units must ALWAYS be consistent.
Don’t forget too to add the units to the answer!
Two of tonight’s homework problems solved by MrE are here! Just click it!