Http://. Is this a “ positive 5 ” or “ plus 5 ”? +5 BOTH.

http://www.mathslideshows.com


Is this a “positive 5” or “plus 5”? +5

is the same a s apositive 5 plus 5

BOTH


HINT: If you don’t see a negative or positive sign in front of a number it is always positive.

5+


Is this a “negative 7” or “minus 7”?

-7

BOTH

is the same as a negative 7 minus 7


HINT: The sign in front of the number BELONGS TO THE NUMBER!

–7


“Simplify” means to combine like terms and complete all operations

2x + 2x + 3x = 7x


Terms in an expression are like terms if they have identical variable parts.

You can combine terms that are alike.


To look at combining like terms we

are going to use ALGEBRA TILES!

Algebra Tiles help us to visualize

what each term represents.


Small Square

Area = 1

Rectangle

x

1

1

1

Area = x

Large Square

x

x

Area = x2

Algebra Tiles


How much do I have here?

I have 5x + 4

Algebra Tiles


How much do I have here?

I have x2 + 2x + 6Notice that we write the largest shape first, then the medium size, then the smallest. We write them in order from largest to smallest.

Algebra Tiles


You can only combine terms that are alike, or terms that have the same variable.

When I combine like terms I have 2x2+ 3x + 6

x2 x x2x x

6

Algebra Tiles


You are going to get your own set of algebra tiles to use.

Take them out of the bag and put them on your desk. The red should be on the bottom.

Algebra Tiles


Small Square

Area = 1

Rectangle

x

1

1

1

Area = x

Large Square

x

x

Area = x2

Algebra Tiles


Small Square

Area = -1

Rectangle

x

1

-1

-1

Area = -x

Large Square

x

-x

Area = -x2

Algebra Tiles


Show me 3 + x2 with your tiles

Since no terms are alike, we can’t combine anything, so my answer is x2 + 3

Algebra Tiles


Show me x +3 + 2x with your tiles

We can combine the terms that are alike. So my answer is is 3x + 3

Algebra Tiles


Show me 3x + 2 + x + 4 with your tiles

We can combine the terms that are alike. So my answer is is 4x + 6

Algebra Tiles


Try these problems with your algebra tiles. Combine like terms. Give me a thumbs up when you know the answer.

= 6x + 5

= 3x2+ 2x + 4

= 4x2 +3x+2

1) 2x + 4 + 4x + 1

2) 2x2 +2x + 3 + x2 + 1

3) 1 + 3x + 3x2 + 1 + x2


Like terms can be combined!Like Terms Unlike Terms

7x 3x 7x 3y

5a 4 a 4 3a

6m m 3x 2x

10x

9a

5m


Combine the following like terms.1) 3x + 5y + 4x

2) 4a + 6 - 3a - 2

7x + 5y

a + 4

Say these!


Combine the following like terms.

Say these!3) x + 3y + 2x + 4y - z

4) 2 2 25x 4x 3x x 6x

3x + 7y - z

29x 10x


1) 7m - 2m + 8m

2) -3y + y - 8y

3) 11r - 5r - 9r

4) -3k + 5k + -k + 2k

5) t - 4t + -3t + 2t

6) 11x - 4x + x + -3x

13m

-10y

-3r

3k

-4t

5x

Say these!


Put your algebra tiles back in your bag and ziplock them.

Pass your tiles forward quickly.

Take Out Your Study Guide!!!


When I combine like terms I have 2x2+ 3x +6

x2 x x2x x 6

#5 Terms are in expressions or equations, and they are separated by addition or subtraction signs. 6x2 + 3x -

43 terms

Write terms in order from largest shape to smallest.


Combine Like TermsYou can only combine

terms that are alike, or terms that have the

same variable.

#6

1) 7x - 4y + 2x - y

2) 3m + 10n - 4m + 1

3) 6a - (5a) + 2a + (-3)

4) 4k - (2j) - 6k - j

9x

-m

3a

-2k - 3j

- 5y

+ 10n + 1

- 3

1


Extra slides


x2

#Extra

x

x

A = x • x = x2

y2y

yA = y • y = y2

x

1

A = 1 • x = x

x

y

1

A = 1 • y = y

y

xyx

y

A = x • y = xy

11

A = 1

1 1-1

A = -1

-1

Http://. Is this a “ positive 5 ” or “ plus 5 ”? +5 BOTH.

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