1. Day 1 Combining Like Terms.notebook December 13, 2012
AIM: Combining Like Terms
Do Now
Complete the following problems.
a.) -9 - 5 d.) -9 - (-2)
b.) 8 - (-3) e.) 6 + (-21)
c.) -5 + 3 f.) 10 - 45
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2. Day 1 Combining Like Terms.notebook December 13, 2012
Anticipatory Set
Philipe is organizing the storerooms at an
athletic club. He finds 3 cases and 2 cans
of tennis balls in one room and 5 cases and
6 cans of tennis balls in another room.
How many cases and cans does he have?
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3. Day 1 Combining Like Terms.notebook December 13, 2012
Anticipatory Set
Philipe is organizing the storerooms at an
athletic club. He finds 3 cases and 2 cans x 1
of tennis balls in one room and 5 cases and
6 cans of tennis balls in another room.
You can also show this situation with
Algebra Tiles.
3x + 2 + 5x + 6 1
1
1
x x 1
x
x x x x
1 1
x
1
1
QUESTION: Why does Philipe need to use two
different types of algebra tiles?
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4. Day 1 Combining Like Terms.notebook December 13, 2012
1.) 4x + 2x 2.) 2x + 2 + 3x
x x
x x x
x x
x
x
1
1
x
x
x 1
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5. Day 1 Combining Like Terms.notebook December 13, 2012
3.) x + 1 + 2x + 4 4.) 3x + 4 + 3x + 2
x x x x
x x x x x
1 1
1 1 1
1
1 1 1 1 1
x 1
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6. Day 1 Combining Like Terms.notebook December 13, 2012
Terms: are numbers, variables, or products of numbers
and variables. Terms in an expression are separated by
addition and subtraction symbols.
(Example: 3x + 5 + x - 7)
Coefficients: A number that is multiplied by a variable.
(Example: 4x, 4 is the coefficient)
Like Terms: terms with the same variable raised to the
same power.
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7. Day 1 Combining Like Terms.notebook December 13, 2012
a.) -4x + 1 + 2x - 4
­x ­x ­1
­1 ­1
­x ­x
x
x
1 ­1
x ­x 1 ­1
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8. Day 1 Combining Like Terms.notebook December 13, 2012
b.) -3 - 5x - 2x + 4
1
­x ­x ­x ­x
­x ­x ­x
1­1
1
­1
­1
1
x ­x 1 ­1
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9. Day 1 Combining Like Terms.notebook December 13, 2012
c.) 2x - 3x + 2 - 5 - x
­x
­x
­1
­1
­1
x 1
­1
x ­x ­x
1 ­1 ­x1
­1 x
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10. Day 1 Combining Like Terms.notebook December 13, 2012
d.) -2x + 4x - 3 - 4
x ­x 1 ­1
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11. Day 1 Combining Like Terms.notebook December 13, 2012
e.) -1 + x - 3 - 3x - 2
x ­x 1 ­1
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12. Day 1 Combining Like Terms.notebook December 13, 2012
Conjecture: How can we combine like
terms without using the algebra tiles?
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13. Day 1 Combining Like Terms.notebook December 13, 2012
Simplify the expressions by combining like
terms.
1.) 8x + 2 + 5x - 3
2.) -9 - 3x - 2x + 6
3.) -5x + 3 - 4x - 8
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14. Day 1 Combining Like Terms.notebook December 13, 2012
Multiple Choice
Extra Practice
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15. Day 1 Combining Like Terms.notebook December 13, 2012
BEFORE YOU LEAVE
Have you ever heard the expression,
“You can‛t add apples and oranges!”
Explain how today‛s lesson relates to that expression.
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16. Day 1 Combining Like Terms.notebook December 13, 2012
Mr. Tjersland's Math 7
Homework: None
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17. Day 1 Combining Like Terms.notebook December 13, 2012
AIM: Combining Like Terms
Like Terms: terms with the same variable raised to the same
power.
a.) -5x + 2 + 3x - 4
x ­x 1 ­1
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18. Day 1 Combining Like Terms.notebook December 13, 2012
AIM: Combining Like Terms
b.) -3 - 5x - 3x + 4
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19. Day 1 Combining Like Terms.notebook December 13, 2012
BEFORE YOU LEAVE
Have you ever heard the expression,
“You can‛t add apples and oranges!”
Explain how today‛s lesson relates to that expression.
19