Day 163 – May 14

Algebra: Chapter 12, Lesson 3, page 547.

Linear Functions

A function `f` defined by an equation of the form `y=mx+b`, where `m` and `b` are real numbers, is a LINEAR function and can be written `f(x)=mx+b`.

If that is too confusing, forget the `f(x)` and just substitute `y` instead. Solve for the `f(x)` given the values specified in the domain (the `x` values) .

¦¦ ¤ ¦¦ ¤ ¦¦ ¤ ¦¦ ¤ ¦¦ ¤ ¦¦ ¤ ¦¦ ¤ ¦¦ ¤ ¦¦ ¤ ¦¦ ¤ ¦¦ ¤ ¦¦ ¤ ¦¦ ¤ ¦¦ ¤ ¦¦ ¤ ¦¦ ¤ ¦¦ ¤ ¦¦ ¤ ¦¦ ¤ ¦¦ ¤ ¦¦

Algebra 1a: Chapter 5, Lesson 2, page 209 – DAY #2

Exponents and More!

Exponents and More with Exponents

For like bases, we have:

  1. Rule: `a^0=1`
  2. Rule: to multiply we do `a^m⋅a^n=a^(m+n)
  3. Rule: to divide, we do `a^m/a^n=a^(m-n)`
  4. Rule: for negative exponent, we can express them as positive by, `a^(-m)=1/a^m
  5. Rule: for raising a power to another power, `(a^m)^n=a^(mn)`
  6. Rule: for raising a product to a power, `(ab)^n=a^n⋅b^n`
  7. Rule: for raising a quotient to a power, `(a/b)^n=a^n/b^n`

Remember and MEMORIZE THESE RULES for Lessons 1 and 2. Practice here!

PurpleMath has an EXCELLENT 2 page tutorial, click here!

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

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