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? 6x5x – 12 = 4312 – 9y8by Simplify and Evaluate. 4x 2 y – 5x + 2y 3 – 12. Exponent Laws & Combining like terms. - PowerPoint PPT PresentationTRANSCRIPT
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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.4x2y – 5x + 2y3 – 12
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EXPONENT LAWS & COMBINING LIKE TERMS
August 27th
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Exponents Line-Up
Look at your expression and evaluate! Line up in order from biggest to smallest!
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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=____.
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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.
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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.
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Exponents
Type in to your calculator 32 = _______.
Type in to your calculator 22 = _______.
Type in to your calculator 42 = ________.
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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?
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Type in to your calculator = _______.
Type in to your calculator = _______.
Type in to your calculator = ________.
Do you notice a pattern here?
23
1
22
1
24
1
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Exponent Law:
So we can say that bases with a negative exponent switch sides.
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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:
33
4
14
1
3
3
1 3
3
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Try These:
1. 3-2
2. 6-1
3. (-4)-2
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1.
2.
When a fraction is in parentheses with a negative exponent, DISTRIBUTE the exponent
and MOVE your terms.
How about fractions!
1
3
2
4
n
m
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1. 2.
3. 4.
Simplify the Expressions
235 ba
55 a
3
2a
3
5
8
4
a
b
Now: Evaluate when a = 3 and b = 2
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Expand & Simplify35 = 3 ∙ 3 ∙ 3 ∙ 3 ∙ 3 = 243
1. 124 =
2. (-5)7 =
3. (0.5)-3 =
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Expand and Simplify
4. (32)5 =
5. (34)-2 =
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Simplify the expression
2
4
3
3
7
p
x
y
y1.
2.
3.
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Expand then Simplify
24
62
53
kk
vv
aa4.
5.
6.
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DO YOU REMEMBER THE GAME MEMORY?
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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
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Match/Combine the Like Terms
17x4 4y3 14x3y5
z23ab2
56y4 6a2b -32s3t6 8a2b3
4a2b3 19s6t3 2x4 3x3y5z
85s3t6 x5y3z 3y4 96ab2
15a2b 7y3 7x5y3z 2s6t3
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Simplify the Expressions by Combining Like Terms
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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.