1. 1.2: Evalulate and Simplify Algebraic Expressions
12/6/2018
Section 1.2
Evaluating and Solving Algebraic Expressions
12/6/2018 7:21 PM
1.2: Evalulate and Simplify Algebraic Expressions

2. 1.2: Evalulate and Simplify Algebraic Expressions
12/6/2018
Order of Operations
To evaluate an algebraic expression, substitute a number for each variable and simplify by using the order of operations. One way to remember the order of operations is by using the mnemonic PEMDAS.
Order of Operations
Parentheses and grouping symbols.
Exponents.
Multiply and Divide from left to right.
Add and Subtract from left to right.
12/6/2018 7:21 PM
1.2: Evalulate and Simplify Algebraic Expressions

3. 1.2: Evalulate and Simplify Algebraic Expressions
12/6/2018
Example 1
Evaluate (x)2 – (x – 7)2 + (–x) ÷ 3 where x = –3
12/6/2018 7:21 PM
1.2: Evalulate and Simplify Algebraic Expressions

4. 1.2: Evalulate and Simplify Algebraic Expressions
12/6/2018
Your Turn
Evaluate 2(x – 5)2 + x • 2 – 4 where x = 3
12/6/2018 7:21 PM
1.2: Evalulate and Simplify Algebraic Expressions

5. 1.2: Evalulate and Simplify Algebraic Expressions
12/6/2018
Example 2
Little Suzy is selling homemade candles at a craft fair for $3 each. She spent $120 to rent the booth and buy materials for the candles. Write an expression and find the profit if you sell 75 candles.
12/6/2018 7:21 PM
1.2: Evalulate and Simplify Algebraic Expressions

6. 1.2: Evalulate and Simplify Algebraic Expressions
12/6/2018
Your Turn
You start driving a used car when the odometer reads 96,882. After a typical month of driving, the reading is 97,057. Write an expression for the reading of the odometer after m months, assuming the amount you drive each month is the dame. Predict the reading after 12 months.
12/6/2018 7:21 PM
1.2: Evalulate and Simplify Algebraic Expressions

7. 1.2: Evalulate and Simplify Algebraic Expressions
12/6/2018
Combining Like Terms
Simplifying is an expression if there are no grouping symbols and all like terms combined.
Like terms are terms that have the same variable parts.
Variable terms has a variable part.
Coefficient is where a term is in front of the variable.
12/6/2018 7:21 PM
1.2: Evalulate and Simplify Algebraic Expressions

8. 1.2: Evalulate and Simplify Algebraic Expressions
12/6/2018
Example 3
Simplify 6(x – 2) – 2(x2 + 6x)
12/6/2018 7:21 PM
1.2: Evalulate and Simplify Algebraic Expressions

9. 1.2: Evalulate and Simplify Algebraic Expressions
12/6/2018
Your Turn
Simplify 4(x + 9y) – 2x(y + 3)
12/6/2018 7:21 PM
1.2: Evalulate and Simplify Algebraic Expressions

10. 1.2: Evalulate and Simplify Algebraic Expressions
12/6/2018
Assignment
Pg 13
5-49 odd, all
12/6/2018 7:21 PM
1.2: Evalulate and Simplify Algebraic Expressions