1. COMBINING LIKE TERMS
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2. Terms must match in variable and exponent
EXAMPLES
x 2x 3x -x -2x -3x
y 2y 3y -y -2y y
X2 2x x x x x2
y2 2y y y y y2
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3. TRY IT OUT 2x and 2y 2x and x -x and 3x 2x2 and 2y2 3x2 and 4x2
-5y and –5x
= Simplest terms
unlike
= 3x
like
= 2x
like
= Simplest terms
unlike
like
= 7x2
= 0
like
= Simplest terms
unlike
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4. Combining Equations Simplify to lowest terms Combine like terms
Grab the operation and ADD
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5. EXAMPLE 2x + 3 + 4x + 7 I. 6x + 10 Simplest Terms 6x + 5 - 8x - 2 II.
+ 5
- 8x
- 2
II.
-2x
+ 3
Simplest Terms
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6. MORE EXAMPLES I -3x - 6 + 7x - 8 4x - 14 Simplest terms 2x2 + x - 4x2
- 5
+ 3x
+ 6
II.
-2x2
+ 4x
+ 1
Simplest terms
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7. TRY IT OUT I. 9x + 5 – 6 + 7x – x + 2 15x +1 -2x + 3 – 5x + 4 II.
III.
3x2 +2x +1
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8. TIPS AND TRICKS Practice INTEGER rules Combine means ADD
Grab the operation with the TERM
Use COMMON sense
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