The document discusses order of operations and evaluating algebraic expressions. It explains that parentheses and brackets should be evaluated first, followed by exponents, then multiplication and division from left to right, and finally addition and subtraction from left to right. Examples are provided to demonstrate simplifying expressions using order of operations and evaluating expressions by substituting values for variables.

1. 1.2: Algebraic Expressions & Models Goals: Use the order of operations to simplify expressions Substitute the value of a variable to evaluae an expression

2. Order of Operations Parenthesis/ Brackets Exponents Multiplication/ Division Addition/ Subtraction Parenthesis/Brackets Perform all operations inside parenthesis/brackets first when solving and equation.

3. Order of Operations Parenthesis/ Brackets Exponents Multiplication/ Division Addition/ Subtraction Exponents Next, perform the operations that involve exponents

4. Order of Operations Parenthesis/ Brackets Exponents Multiplication/ Division Addition/ Subtraction Multiplication/Division Thirdly, perform operations either multiplication or division (in order from left-to-right)

5. Order of Operations Parenthesis/ Brackets Exponents Multiplication/ Division Addition/ Subtraction Addition/Subtraction The last step you perform is addition or subtraction (in order from left-to-right).

6. Evaluate the following problems by using the order of operations: Exponents: Square 4 first Division: Take 16 divided by -2 Subtraction: Subtract -8 from 15 Addition: Add 23 and 8 together Example:

7. Evaluate the following problems by using the order of operations: Work inside the parenthesis first. Square 3 Finish simplifying the parenthesis by dividing 27 by 9 Multiplication: Multiply -3 by 5 Addition: Add 3 and -15 together Addition: Add -12 and 1 together Example:

8. Evaluating an Expression Substitute the values of the variables into the expressions Evaluate the following for when: x = 3, y = 4, and z = -2 1) 2) 3)

9. Evaluating an Expression Substitute the values of the variables into the expressions Evaluate the following for when: x = 3, y = 4, and z = -2 1) 2) 3)

10. Evaluating an Expression Substitute the values of the variables into the expressions Evaluate the following for when: x = 3, y = 4, and z = -2 1) 2) 3)

11. Evaluating an Expression Substitute the values of the variables into the expressions Evaluate the following for when: x = 3, y = 4, and z = -2 1) 2) 3)