Day 10 – September 2

Algebra 1: Chapter 1, Lesson 9, page 40 (we did lesson 9 instead of 8).

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:

Area ${\displaystyle a=l\cdot w}$

Given the length and width of an object, you can easily find the area.

Another formula as we talked about today:

${\displaystyle d=r\cdot t}$ (DIRT problems) with d = distance, r = rate (or speed) and t = time.

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!

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Algebra 1a: Chapter 1, Lesson 5, page 24.

Distributive Property of Mutiplication over Addition

The distributive property of mulitplication over addition is written as ${\displaystyle a(b+c)=ab+ac}$. For example:

${\displaystyle 3(x+2)=3x+6}$
The opposite of distribution is factoring where we go backward. For example:

${\displaystyle 3x+3y=3(x+y)}$

In an expression like ${\displaystyle 6s+6t+6w}$, the ${\displaystyle 6s}$, ${\displaystyle 6t}$ and ${\displaystyle 6w}$ are called terms. Like terms are terms with like variables THAT HAVE THE SAME EXPONENT!

You can collect like terms, for example:

${\displaystyle 6y^2+2y^2}$ is the same as ${\displaystyle 8y^2}$

and ${\displaystyle 4x^3+5x^3}$ is the same as ${\displaystyle 9x^3}$

Try these 2 links from purplemath.com, this one for distribution and this one for factoring.

Two of tonight’s homework problems solved by MrE are here! Just click it!!