Combining Like Terms - PowerPoint PPT Presentation

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Combining Like Terms

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Combining Like Terms Students will identify like terms and combine like terms to solve problems. Combine Like Fruits Only combine terms that are the same!! – PowerPoint PPT presentation

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Title: Combining Like Terms


1
Combining Like Terms
  • Students will identify like terms and combine
    like terms to solve problems.

2
Combine Like Fruits
2 bananas
3 apples
3 bananas
4 apples
4 3 apples
3 2 bananas
5 bananas
7 apples
3
Only combine terms that are the same!!
  • Whats the SAME or Like Terms mean?
  • The variables (letters) MUST be the same with the
    SAME POWERS.
  • You can also combine numbers that have no
    variables.

4
Examples
  • Which terms are the same or LIKE TERMS?
  • 5x, 8y, 9z, 10, x2, 12x, 14z, 7, 3x2

5x and
?
12x
10 and
?
7
x2 and
?
3x2
8y and
NOTHING!
?
9z and
?
14z
5
Combining Terms
  • To combine Like Terms, add or subtract the
    coefficients (numbers in front of the variables)
    The variable stays the same.

Example 5x 9x
THINK 5 9 14 and bring down the x.
14x
6
Lets try it!
  • 4x 9x
  • 13x

-7y 9y 2y
-8y (-4y) -12y
4x 8y 10x 14x
5 8x 7y 10 8x
8y
7y
15
7
More Problems
  • 4x 5y 2x 3y
  • 2x
  • 5(x y) 2(x y)
  • 5x 5y 2x 2y
  • 7x
  • 3. 3 5x 4y 2y 8x
  • 3

8y
Use the distributive property first.
7y
3x
2y
8
Problems Cont.
  • 4. (-13) (-2y) (-7) 4y
  • -20
  • 5. 8(2x 3y) 4(y 3x)
  • 16x
  • 4x

6y
24y
4y
12x
20y
9
Summary
  • Combine LIKE TERMS only if they have exactly the
    same letters with the same powers.
  • Combine Like Terms by adding or subtracting the
    coefficients (numbers)
  • Constants (terms without variables) can also be
    combined by adding or subtracting.

END
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