Warm Up 1. Find the length of a segment with endpoints (-1, 5) and (7, 9) 2. Find the volume for the figure

HW Check – 1.14

Literal Equations

What we already know about literal equations A literal equation is an equation with more than one variable. Formulas are literal equations. We will be asked to solve for specific variables in literal equations (when you are, follow same steps as your would for solving normal equations)

Lets practice… 1. Solve for b ab + cd = H 2. Solve for a 3. Solve for h V = B h

On your own… 1. V = l w h solve for w 2. A= ∏ r 2 solve for r 3. 3 = cb + 2a 2 Solve for b

Exponents

Be sure to use these vocabulary words when referring to problems in this section!

Super Base Super Base – You Tube Video Pay attention to all the properties of exponents from this video!

Adding & Subtracting Monomials COMBINE LIKE TERMS!! The exponents do NOT change! Examples: 3x 2 + 5x 2 5b 3 – 6b 3

Product Rule: Multiplying exponential expressions with like bases: When multiplying exponential expressions with like bases, you should _____________ the exponents.

Power Rule: Raising a power to a power When raising an exponential expression to a power, you should __________________ the exponents.

Quotient Rule: Dividing exponential expressions with like bases When dividing exponential expressions with like bases, you should _______________ the exponents.

Negative Exponent Rule: What if we had more in the denominator than the numerator? So the rule still applies, we just now know what a negative exponent means.

So what is….

Roots The square root of a number is a value that, when multiplied by itself, gives the number. Example: 4 × 4 = 16, so the square root of 16 is 4. Another example: √36 = 6 (because 6 x 6 = 36) Did you know that it is called SQUARE ROOT because there is an understood two outside of the radical… This number is called the INDEX

Third root… (cubed root) Fourth Root… The cube root of a number is a special value that, when used in a multiplication three times, gives that number. Example: 3 × 3 × 3 = 27, so the cube root of 27 is 3.

In your pairs match the following… Check using your calculator!

What do you notice about the index and the denominator in the fractions? So what does x 1/n mean?

Therefore rewrite these EXPONENTIAL EXPRESSIONS as RATIONAL EXPRESSIONS

Now rewrite these RATIONAL EXPRESSIONS as EXPONENTIAL EXPRESSIONS

Coming up… HW tonight 1.15 Unit 1 TEST – Friday! Mrs Wolf’s tutoring today & Tuesday!