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

EXPONENT LAWS & COMBINING LIKE TERMS

August 27th

Exponents Line-Up

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

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=____.

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.

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

Type in to your calculator 32 = _______.

Type in to your calculator 22 = _______.

Type in to your calculator 42 = ________.

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?

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

Exponent Law:

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

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

Try These:

1. 3-2

2. 6-1

3. (-4)-2

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

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

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

1. 124 =

2. (-5)7 =

3. (0.5)-3 =

Expand and Simplify

4. (32)5 =

5. (34)-2 =

Simplify the expression

2

4

3

3

7

p

x

y

y1.

2.

3.

Expand then Simplify

24

62

53

kk

vv

aa4.

5.

6.

DO YOU REMEMBER THE GAME MEMORY?

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

17x4 4y3 14x3y5

z23ab2

56y4 6a2b -32s3t6 8a2b3

4a2b3 19s6t3 2x4 3x3y5z

85s3t6 x5y3z 3y4 96ab2

15a2b 7y3 7x5y3z 2s6t3

Simplify the Expressions by Combining Like Terms

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.