1) The document provides instructions and examples for combining like terms in algebraic expressions. It contains examples of combining terms with the same variable raised to the same power. 2) The document explains that like terms must have the same variable raised to the same power in order to be combined using addition or subtraction. Coefficients are the numbers multiplied by variables. 3) Several worked examples are provided of combining like terms in algebraic expressions by collecting terms with the same variables and exponents.

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

13. 13
Multiple Choice
Extra Practice

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

15. 15
Homework: None
Mr. Tjersland's Math 7

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