Combining Like Terms

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Slide 1:

Terms of an Expression Terms are parts of a math expression separated by addition or subtraction signs. 3x + 5y – 8 has 3 terms .

Slide 2:

Like Terms Like terms have the same variables to the same powers.

Slide 3:

Which terms are LIKE terms? 3x and 7x LIKE 5x and 5y UNLIKE x and x ² UNLIKE 6 and 10 LIKE

Slide 4:

Coefficients A coefficient is a numerical factor . The coefficient is written in front of the variable. Example: 6x The coefficient is 6.

Slide 5:

Write a math expression for each situation: + 3c + 4c =7c

Slide 6:

What about subtraction? - 8a - 1a = 7a

Slide 7:

You can combine LIKE terms by adding their coefficients.

Slide 8:

Combine like terms 3x + 8x = 11x 7x + 5x + 2x = 14x 10x – 4x = 6x 3x + x = 4x When there is no number written in front of a variable, its coefficient is ONE . x = 1x

Slide 9:

+ Try this one… 5c + 4d

Slide 10:

- What about this one? 5a – 4b This expression cannot be simplified.

Slide 11:

You can only combine LIKE terms. You can never combine un like terms.

Slide 12:

Simplify means to combine like terms. Simplify: 3x + 2x + 6y = 5x + 6y x + 7 + 2x = 1 3x + 7 8x – 3x + 10 = 5x + 10 4x + 5y + 3x – 2y = 7x + 3y

Slide 13:

Now turn over your paper and answer the questions about like terms .