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1
Do Now
AIM: Combining Like Terms
Solve and Check the following equations.
1.) -5x + 15 = -25 2.) -3 = - 14
y
5
2
-2(x + 6) - 12x -2 = 8x - 10(x - 1)
Solve the following equation. SHOW YOUR CHECK!
BY THE END OF THIS UNIT
YOU WILL BE ABLE TO:
3
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?
4
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.
You can also show this situation with
Algebra Tiles.
x 1
3x + 2 + 5x + 6
QUESTION: Why does Philipe need to use two
different types of algebra tiles?
x
1
x x
1
x x
x x
x
1
1
1
1
1
1
5
1.) 4x + 2x 2.) 5x + 2 + 3x
x 1
x x
x x
x
x
x x
x x
x
1
1
x x
x
6
x 1
3.) x + 1 + 2x + 4
4.) 3x + 4 + 3x + 5
x 1
x x
1 1
1 1
x x
x
1
1
1
1
x x
x
1
1
1
1
1
7
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.
8
x
1 ­1
­x
a.) -5x + 2 + 3x - 4
­x
­x
­x
­x
­x
1
1
x
x
x
­1
­1
­1
­1
9
x
1 ­1
­x
b.) -3 - 5x - 3x + 4
­1
­1
­1
­x
­x ­x
­x ­x ­x
­x ­x
1
1
1
1
10
x
1 ­1
­x
c.) 7x - 5x + 12 - 20 - 6x
x x
x x
x
x
x
­x
­x
­x
­x
­x
­x
­x­x
­x
­x
­x
1 1
1 1
1 1
1 1
1 1
1 1
­1 ­1
­1 ­1
­1
­1
­1
­1
­1
­1
­1 ­1
­1 ­1
­1
­1 ­1
­1 ­1
­1
11
x
1 ­1
­x
d.) -6x + 5x - 8 - 15
­x
­x
­x
­x
­x
­x
x
x
x
x
x
­1 ­1
­1 ­1
­1 ­1
­1 ­1
­1 ­1
­1 ­1
­1 ­1
­1 ­1
­1 ­1
­1 ­1
­1 ­1
­1
12
x
1 ­1
­x
e.) -8 + 3x - 5 - 2x - 13
13
Multiple Choice
Extra Practice
14
Have you ever heard the expression,
“You can‛t add apples and oranges!”
Explain how today‛s lesson relates to that expression.
BEFORE YOU LEAVE
15
Homework: None
Mr. Tjersland's Math 7
16
x
1 ­1
­x
a.) -5x + 2 + 3x - 4
Like Terms: terms with the same variable raised to the same
power.
AIM: Combining Like Terms
17
b.) -3 - 5x - 3x + 4
AIM: Combining Like Terms
18
Have you ever heard the expression,
“You can‛t add apples and oranges!”
Explain how today‛s lesson relates to that expression.
BEFORE YOU LEAVE

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Day 4 combining like terms

  • 1. 1 Do Now AIM: Combining Like Terms Solve and Check the following equations. 1.) -5x + 15 = -25 2.) -3 = - 14 y 5
  • 2. 2 -2(x + 6) - 12x -2 = 8x - 10(x - 1) Solve the following equation. SHOW YOUR CHECK! BY THE END OF THIS UNIT YOU WILL BE ABLE TO:
  • 3. 3 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?
  • 4. 4 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. You can also show this situation with Algebra Tiles. x 1 3x + 2 + 5x + 6 QUESTION: Why does Philipe need to use two different types of algebra tiles? x 1 x x 1 x x x x x 1 1 1 1 1 1
  • 5. 5 1.) 4x + 2x 2.) 5x + 2 + 3x x 1 x x x x x x x x x x x 1 1 x x x
  • 6. 6 x 1 3.) x + 1 + 2x + 4 4.) 3x + 4 + 3x + 5 x 1 x x 1 1 1 1 x x x 1 1 1 1 x x x 1 1 1 1 1
  • 7. 7 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.
  • 8. 8 x 1 ­1 ­x a.) -5x + 2 + 3x - 4 ­x ­x ­x ­x ­x 1 1 x x x ­1 ­1 ­1 ­1
  • 9. 9 x 1 ­1 ­x b.) -3 - 5x - 3x + 4 ­1 ­1 ­1 ­x ­x ­x ­x ­x ­x ­x ­x 1 1 1 1
  • 10. 10 x 1 ­1 ­x c.) 7x - 5x + 12 - 20 - 6x x x x x x x x ­x ­x ­x ­x ­x ­x ­x­x ­x ­x ­x 1 1 1 1 1 1 1 1 1 1 1 1 ­1 ­1 ­1 ­1 ­1 ­1 ­1 ­1 ­1 ­1 ­1 ­1 ­1 ­1 ­1 ­1 ­1 ­1 ­1 ­1
  • 11. 11 x 1 ­1 ­x d.) -6x + 5x - 8 - 15 ­x ­x ­x ­x ­x ­x x x x x x ­1 ­1 ­1 ­1 ­1 ­1 ­1 ­1 ­1 ­1 ­1 ­1 ­1 ­1 ­1 ­1 ­1 ­1 ­1 ­1 ­1 ­1 ­1
  • 12. 12 x 1 ­1 ­x e.) -8 + 3x - 5 - 2x - 13
  • 14. 14 Have you ever heard the expression, “You can‛t add apples and oranges!” Explain how today‛s lesson relates to that expression. BEFORE YOU LEAVE
  • 16. 16 x 1 ­1 ­x a.) -5x + 2 + 3x - 4 Like Terms: terms with the same variable raised to the same power. AIM: Combining Like Terms
  • 17. 17 b.) -3 - 5x - 3x + 4 AIM: Combining Like Terms
  • 18. 18 Have you ever heard the expression, “You can‛t add apples and oranges!” Explain how today‛s lesson relates to that expression. BEFORE YOU LEAVE