1. WARM-UP 1. 4P+5T+3X-P+2T+6X Example 2. 5X2 +2X – 6 +10X2 –X+4
3. 2X + 3Y + 5 – 3X + XY - Y
X3+ XY + X2 + XY – X3
5. 7R + 8Q + 5S – 9Q + R – 2S

2. Essential Vocabulary • Addend • Numerical Expression
• Algebraic Expressions
• Coefficient
• Constant
• Difference
• Equivalent Expressions
• Expression
• Integer
• Like Terms
• Numerical Expression
• Product
• Quantity
• Quotient
• Sum
• Term
• Unlike Terms
• Variable

3. Addend
A number added to one or more other numbers to form a sum.
Algebraic Expressions
An algebraic expression is made up of three things: numbers, variables and operation signs such as + and -. Examples 2a, a + b and ab.
Coefficient
A number before the variable that expresses how many of each variable there are. For Ex: 3x The coefficient is 3 therefore there are 3 x's or 3 times x
Constant
A value that does not change
Difference
The answer to a subtraction problem
Equivalent Expressions
Expressions having the same value.
Expression
A mathematical phrase that contains operations, numbers, and/or variables.
Factor
A number that is multiplied by another number to get a product.
Integer
A number expressible in the form a or -a for some whole number a.
Like terms
In algebra, like terms are more than one term or terms that have the same variables and powers. The coefficients do not matter.

4. Numerical Expression
An expression that consists only of numbers and operation symbols such as
Product
The answer to a multiplication problem
Quantity
A specified or indefinite amount
Quotient
The answer to a division problem
Sum
The answer to an addition problem
Term
A term is either a single number or variable, or the product of several numbers or variables, separated from another term by a + or − sign in an overall expression. For example, in x + 5wyz
3, 4x, and 5wyz are all terms.
Unlike Terms
Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers.
Variable
A letter or symbol that represents a number

5. vocabulary
Variable
Constant
Term
Coefficient
Like terms
Expression

6. 4X Variable What is a variable?
It is just a symbol, usually a letter, that can represent different values.

7. Constant y2-y+10 A number on its own
3x2+4x+8
y2-y+10
A number on its own
A fixed value and does not contain a variable
It does not change

8. Term 9 4x
3xy3 M 2 x2 y 7P
A number, a variable, or the product or quotient of a number and one or more variables raised to powers

9. coefficient 8y X
150P
A number placed before and multiplied with a variable in an algebraic term

10. LIKE TERMS
132X X
5XY XY2
4P P
Terms with exactly the same variable or variables raised to exactly the same powers are called like terms.

11. Expression
A mathematical phrase containing numbers, operations, and/or variables
5x2+3y-7

12. Objective:
Simplify expressions by combining like terms

13. Objective:
Simplify expressions by combining like terms

14. Identify like terms combine like terms Simplify expressions
Big ideas
Identify like terms
combine like terms
Simplify expressions

15. Simplifying an expression - to make the expression more simple to understand or look at without changing the value of the expression

16. 2 2 + 2 + + 3 + 4
3A O

17. 2 + +
2D D 4D

18. how to Combine LIKE TERMS
3XY2+6XY2
5T+2T
4P-P
400Z+17Z

19. Combining like terms P + P + P + P + P + P + P 7P 5P 2P or
5 pieces of candy
2 pieces of candy + 5P 2P +
P + P + P + P + P +
P + P
7 pieces
of candy 7P or

20. Simplify the Expression
4P+5T+3X-P+2T+6X

21. 4P+5T+3X-P+2T+6X
rearrange
4P-P+5T+2T+3X+6X

22. Combine Like Terms Simplify the Expression
4P-P+5T+2T+3X+6X
3P+7T+9X

23. WARM-UP 1. 4P+5T+3X-P+2T+6X Example 2. 5X2 +2X – 6 +10X2 –X+4
Circle or shade over like terms with the same color Hint: variables & exponents must match
Example
1. 4P+5T+3X-P+2T+6X
2. 5X2 +2X – 6 +10X2 –X+4
3. 2X + 3Y + 5 – 3X + XY - Y
X3+ XY + X2 + XY – X3
5. 7R + 8Q + 5S – 9Q + R – 2S

24. Practice

25. Game

26. Game

27. HELP!!! Homework helpers 4:00-6:00 and 8:00-9:00
Homework helpers
4:00-6:00 and 8:00-9:00

28. References
Hornsby, J., Lial, M. L., & McGinnis, T. (2008).
Intermediate algebra. New York, NY: Pearson
Education, Inc.