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


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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? 6x5x – 12 = 4312 – 9y8by Simplify and Evaluate. 4x 2 y – 5x + 2y 3 – 12. Exponent Laws & Combining like terms.

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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

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?

    6x5x – 12 = 4312 – 9y8by

  • Simplify and Evaluate.

    4x2y – 5x + 2y3– 12


Exponent laws combining like terms

Exponent Laws & Combining like terms

August 27th


Exponents line up

Exponents Line-Up

  • Look at your expression and evaluate! Line up in order from biggest to smallest!


Simplify 5xy 12x 3xy 3x 19 which of the follow is not a term

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=____.


Simplify 5xy 12x 3xy 3x 19 which of the follow is not a term

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.


Simplify 5xy 12x 3xy 3x 19 which of the follow is not a term

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?


Simplify 5xy 12x 3xy 3x 19 which of the follow is not a term

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 simplify 3 5 3 3 3 3 3 243

Expand& Simplify35 = 3 ∙ 3 ∙ 3 ∙ 3 ∙ 3 = 243

  • 124 =

  • (-5)7 =

  • (0.5)-3 =


Expand and simplify

Expand and Simplify

4. (32)5 =

5. (34)-2 =


Simplify the expression

Simplify the expression

1.

2.

3.


Expand then simplify

Expand then Simplify

4.

5.

6.


Do you remember the game memory

Do you remember the game Memory?


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


Match combine the like terms

Match/Combine the Like Terms


Simplify the expressions by combining like terms

Simplify the Expressions by Combining Like Terms


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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