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Simplify. 5xy + 12x – 3xy +3x – 19 Which of the follow is NOT a term?

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Warm Up - complete in your notebook in WU section. These will be checked during the binder check. Simplify. 5xy + 12x – 3xy +3x – 19 Which of the follow is NOT a term? 6x 5x – 12 = 43 12 – 9y 8by Simplify and Evaluate. 4x 2 y – 5x + 2y 3 – 12. Exponent Laws & Combining like terms.

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warm up complete in your notebook in wu section these will be checked during the binder check
Warm Up-complete in your notebook in WU section. These will be checked during the binder check.
  • Simplify.

5xy + 12x – 3xy +3x – 19

  • Which of the follow is NOT a term?

6x 5x – 12 = 43 12 – 9y 8by

  • Simplify and Evaluate.

4x2y – 5x + 2y3– 12

exponents line up
Exponents Line-Up
  • Look at your expression and evaluate! Line up in order from biggest to smallest!
slide4

Type in your calculator (-2)0=___.

Type in your calculator (200)0=____.

Type in your calculator (1/4)0=___.

Type in your calculator (5.14)0=____.

slide5

Do you notice a pattern?

So we can say that any time you see a 0 exponent, the expression is equivalent to 1.

Try 00:

This is never equal to 1.

slide6

This also works if your base is a variable.

So for instance (x)0 = 1, for all x  0.

Even if it looks like this (xyz)0 = 1.

Even if it looks like this

(x3 + x2y – 25xy2 + 50)0 = 1

It doesn’t matter what it looks like because anything to the 0 power is 1.

exponents
Exponents

Type in to your calculator 32 = _______.

Type in to your calculator 22 = _______.

Type in to your calculator 42 = ________.

negative exponents
Negative Exponents

(Give me your answers in fraction form.)

Type in to your calculator 3 (-2) = _______.

Type in to your calculator 2 (-2) = _______.

Type in to your calculator 4 (-2) = ________.

Do you notice a pattern?

slide9

Type in to your calculator = _______.

Type in to your calculator = _______.

Type in to your calculator = ________.

Do you notice a pattern here?

exponent law
Exponent Law:

So we can say that bases with a negative exponent switch sides.

notation move it and lose it
Notation (MOVE IT AND LOSE IT)

So to make it simpler for solving. You need to rewrite expressions, so that all of the exponents become positive.

For example:

try these
Try These:
  • 3-2
  • 6-1
  • (-4)-2
how about fractions
How about fractions!

1.

2.

When a fraction is in parentheses with a negative exponent, DISTRIBUTE the exponent and MOVE your terms.

simplify the expressions
Simplify the Expressions

1. 2.

3. 4.

Now: Evaluate when a = 3 and b = 2

expand and simplify
Expand and Simplify

4. (32)5 =

5. (34)-2 =

combining like terms
Combining Like Terms
  • You can only COMBINE terms that match.
  • X matches X
  • X does not match x2
  • Terms must match in VARIABLES and EXPONENTS
  • Circle each pair in a different color marker
homework
Homework
  • Dominoes!
  • Find the answer, connect the dominoes.
  • Write out work on a sheet of paper and if you don’t want to connect the dominoes write numbers on them so I know the order.
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