Warm-Up:

Evaluating Algebraic Expressions and Order of Operations

Evaluating Algebraic Expressions RECALL: An algebraic expression is a phrase that contains some combination of n________, v__________, o___________ and/or g___________ s___________.

Evaluating Algebraic Expressions RECALL: An algebraic expression is a phrase that contains some combination of numbers, variables, operations and/or grouping symbols. What are some examples?

Evaluating Algebraic Expressions RECALL: An algebraic expression is a phrase that contains some combination of numbers, variables, operations and/or grouping symbols. What doesn’t it include?

Evaluating Algebraic Expressions An algebraic expression does not include an equal sign!!!

Evaluating Algebraic Expressions An algebraic expression does not include an equal sign!!! If it has an equal sign, what do we call it?

Evaluating Algebraic Expressions An algebraic expression does not include an equal sign!!! If it has an equal sign, what do we call it? An EQUATION

Evaluating Algebraic Expressions An algebraic expression does not include an equal sign!!! Can you “solve” an algebraic expression? Example: Given 4x + 2, solve for x. (In other words, what does x have to be?)

Evaluating Algebraic Expressions You cannot “solve” an algebraic expression! The best you can do is “evaluate” it. So…

Evaluating Algebraic Expressions What does it mean to “evaluate” something?

Evaluating Algebraic Expressions We evaluate a given expression for a particular value or set of values by “plugging in” the value for the variable. Explain to your neighbor what you think this means.

Evaluating Algebraic Expressions To evaluate, replace each variable in the expression with the given value for that variable.

Evaluating Algebraic Expressions To evaluate, replace each variable in the expression with the given value for that variable. Example:Evaluate 3a – 2b for a = 6 and b = 4

Evaluating Algebraic Expressions To evaluate, replace each variable in the expression with the given value for that variable. Example:Evaluate 3a – 2b for a = 6 and b = 4 You are told the values to use.

Evaluating Algebraic Expressions To evaluate, replace each variable in the expression with the given value for that variable. Example:Evaluate 3a – 2b for a = 6 and b = 4 Plug In: 3(6) – 2(4)

Evaluating Algebraic Expressions To evaluate, replace each variable in the expression with the given value for that variable. Example:Evaluate 3a – 2b for a = 6 and b = 4 Plug In: 3(6) – 2(4) Calculate:18 – 8 = 10

Evaluating Algebraic Expressions Evaluate 5a + 6b 2 – 7c for a = 4, b = 3, and c = 2 Raise your hand when you have an answer. (Do not shout it out!)

We interrupt this broadcast for an important message about the Order of Operations

Order of Operations It’s tough to evaluate an expression with multiple operations if you don’t know the proper order in which to do it! Discuss with your neighbor what you believe is the proper order.

Order of Operations What is the correct order of operations?

Order of Operations What is the correct order of operations? 1.Do what’s in Parentheses (or any other Grouping Symbol) first.

Order of Operations What is the correct order of operations? 1.Do what’s in Parentheses (or any other Grouping Symbol) first. Includes: ( )Parentheses [ ]Brackets { }Braces | |Absolute Value Fraction Bars XyXy

Order of Operations What is the correct order of operations? 1.Do what’s in Parentheses (or any other Grouping Symbol) first. (Within the grouping symbol, follow the rest of the order of operations.)

Order of Operations What is the correct order of operations? 1.Do what’s in Parentheses (or any other Grouping Symbol) first. 2.Evaluate all Exponents (which includes radicals).

Order of Operations What is the correct order of operations? 1.Do what’s in Parentheses (or any other Grouping Symbol) first. 2.Evaluate all Exponents (which includes radicals). 3.From left to right, do all Multiplication and Division.

Order of Operations What is the correct order of operations? 1.Do what’s in Parentheses (or any other Grouping Symbol) first. 2.Evaluate all Exponents (which includes radicals). 3.From left to right, do all Multiplication and Division. (This does not mean do all multiplication first!)

Order of Operations What is the correct order of operations? 1.Do what’s in Parentheses (or any other Grouping Symbol) first. 2.Evaluate all Exponents (which includes radicals). 3.From left to right, do all Multiplication and Division. 4.From left to right, do all Addition and Subtraction.

Order of Operations P (Grouping) E MD/DM AS/SA

Order of Operations Evaluate4 + 4 ÷ 2 3 – (-1) 5 Raise your hand when you have an answer. (Do not shout it out!)

Order of Operations Evaluate Raise your hand when you have an answer. (Do not shout it out!)

We now return to our regularly scheduled broadcast.

Evaluating Algebraic Expressions Evaluate (4a 2 + b ÷ 3) – (5c + a – 4) for a = 3, b = 12, and c = 6 Raise your hand when you have an answer. (Do not shout it out!)

Evaluating Algebraic Expressions Evaluate for x = 12, y = -7, and z = 8 Raise your hand when you have an answer. (Do not shout it out!)

Evaluating Algebraic Expressions Evaluate for x = 512 and y = 3 Raise your hand when you have an answer. (Do not shout it out!)