1. 09.24.2018 Do Now Introduction Video Cornell Notes Guided Practice
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Topic: Simplifying Algebraic Expressions
E.Q.- How do I simplify Algebraic Expressions
D.E.A.R.!!!

2. Simplifying Algebraic Expressions

3. SIMPLIFY ALGEBRAIC EXPRESSIONS
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4. Simplifying Expressions
An expression is a math sentence that does not have an equal sign.
For example: 3x + 7 – 4x -2
Remember:
We evaluate expressions.
We solve equations.
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5. Simplifying Expressions
Each part of an expression is called a term.
In the expression 3x x -2
the terms are:
3x, 7, -4x, and -2
Notice that the sign in front of each term goes with that term.
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6. Simplifying Expressions
Terms that have identical variable parts are like terms.
In the expression 3x + 7 – 4x -2
3x and -4x are like terms
7 and -2 are like terms
We can combine like terms.
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7. Simplifying Expressions
The coefficient of a term is the number part of the term.
In the expression 3x + 7 – 4x -2
the coefficients are 3 (from 3x) and -4 (from -4x).
If a variable has no number in front of it, the coefficient is 1.
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8. Simplifying Expressions
A term that has a number, but no variable, is a constant term.
In the expression 3x x -2
the constants are:
7 and -2.
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9. Your Turn - Identify the coefficients, constant term(s), and like terms
a – 5 + 4a
7 – 2b + b -8
-3c c + 5
4, 1; -5; a and 4a
-2, 1; 7, -8; 7 and -8, -2b and b
-3 and 6; 2 and 5; -3c and 6c, 2 and 5
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10. Combining Like Terms
We can only add or subtract terms that are alike. 2x + 2 cannot be added because 2x and 2 are not like terms.
Like terms have identical variable parts and identical exponents!
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11. Combining Like Terms
Example: 11x + 1 – 4x 11x and -4x are like terms, so we can combine them: 11x – 4x = 7x Rewrite the simplified expression: = 7x + 1
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12. Combining Like Terms Example: 12m + 9 -2m -16
12m and -2m are like terms.
9 and -16 are like terms.
12m – 2m = 10m
9 – 16 = -7
So, we can rewrite the expression to be:
10m - 7
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13. Your Turn - Simplify Each Expression
10k + 6km + 5k
8g – 9g + 2
y + y + y
4a + 7b + 4b + 5a
8 – 6a + 2b - 8
15k + 6km
-g + 2 3y
9a + 11b
-6a + 2b
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14. Distributive Property
Sometimes you need to use distributive property to simplify the expression before you combine like terms.
2(y - 4) + 5y
= (2 • y) - (2 • 4) + 5y
= 2y – 8 + 5y
= y - 8
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15. Distributive Property
5(n + 2r) + 3n
= (5 • n) + (5 • 2r) + 3n
= 5n + 10r + 3n
= (5n + 3n) + 10r
= 8n + 10r
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16. Your Turn - Simplify the expressions
2(15xy + 8x)
-2(c + 10) + 4c +22
3(2v + 5m) - 2(3v –2m)
8n + 40
30xy + 16x
2c + 2
19m
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17. 2017 Positively Pre-Algebra Plus
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18. QUESTIONS?
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