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Warm-up: 1.) 98 - 12 = 2.) 49 + 13 = 3.) 9 - 6 ÷ 3 = 4.) 4 + 5 x 8 = 5.) 7 2 - 20 =

Today we will learn How to Evaluate Expressions. Warm-up: 1.) 98 - 12 = 2.) 49 + 13 = 3.) 9 - 6 ÷ 3 = 4.) 4 + 5 x 8 = 5.) 7 2 - 20 =. Remember. ORDER OF OPERATIONS. A set of rules that tells us which operation to perform first. We can recall the Order of Operations as

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Warm-up: 1.) 98 - 12 = 2.) 49 + 13 = 3.) 9 - 6 ÷ 3 = 4.) 4 + 5 x 8 = 5.) 7 2 - 20 =

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  1. Today we will learn How to Evaluate Expressions Warm-up: 1.) 98 - 12 = 2.) 49 + 13 = 3.) 9 - 6 ÷ 3 = 4.) 4 + 5 x 8 = 5.) 72 - 20 = CONFIDENTIAL

  2. Remember... ORDER OF OPERATIONS A set of rules that tells us which operation to perform first We can recall the Order of Operations as P E M D A S Addition Parentheses Multiplication Subtraction Exponents Division CONFIDENTIAL

  3. P E M D A S We multiply and divide in order from left to right. THEN we add and subtract in order from left to right. 63 ÷ (10 - 3) x 3 + 6 Do the Parentheses first Then we Divide 63 ÷ 7 x 3 + 6 9 x 3 + 6 Then we Multiply Finally we Add 27 + 6 32 CONFIDENTIAL

  4. ALGEBRA is a mathematical language in which symbols represent numbers and they are related by operations. t w t x h q q y We call the symbols "VARIABLES". n s c "VARIABLES" are usually letters which are used to represent Numbers. u p w t x x m b z d k s f h l CONFIDENTIAL

  5. 3 + n is an "ALGEBRAIC EXPRESSION" Numbers Variables Operations Algebraic Expressions consist of Numbers, Operations, and Variables. CONFIDENTIAL

  6. The VARIABLES in an expression can be replaced with any number. 3 + x If I substitute a 5 for the x ........... I have 3 + 5 or 8 This is how we Evaluate (or find the value of) the Expression CONFIDENTIAL

  7. Let's Evaluate the Algebraic Expression 16 + b if b = 25 We replace b with the number 25 16 + b = 16 + 25 = 41 41 The Value of the Algebraic Expression when b = 25 is CONFIDENTIAL

  8. Let's Evaluate the Algebraic Expression x- y if x = 64 and y = 27 In other words, in the Expression x - y , let's replace x with the number 64 and replace y with the number 27. x - y = 64 - 27 = 37 CONFIDENTIAL

  9. There are several ways to show multiplication. . 2 3 means 2 x 3 6t means 6 x t We always write the number BEFORE the variable. st means s x t CONFIDENTIAL

  10. Evaluate the expression 5t + 4 if t = 3 Replace t for the number 3 5t + 4 = 5 x 3 + 4 = 15 + 4 Remember PEMDAS! = 19 CONFIDENTIAL

  11. Your Turn! Evaluate each expression if a = 6 and b = 4 1.) a + 8 = 2.) a - b = 3.) a x b = 4.) 2a - 5 = CONFIDENTIAL

  12. Complete the Table (2) (1) 2w - 3x + 4y Algebraic Expressions 7a - 3b Name the Variables Name the Numbers Name the Operations CONFIDENTIAL

  13. Distance can be calculated using the formula D = rt where r = rate and t = time Find the distance (D) from Dallas to Houston if I am travelling in my car at a rate (r) of 60 miles per hour AND it take me 4 hours (t) without stopping. Remember that rt means r x t D = r t D = r t D = 60 x 4 That's 240 miles! D = 240 CONFIDENTIAL

  14. Find the value of 2x2 - 6 x 2 if x = 7 First replace the x with the number 7 Remember PEMDAS and handle the exponents first. Do the multiplication in the order in which it occurs. Finally, do the subtraction. CONFIDENTIAL

  15. Which one of these expressions is NOT an Algebraic Expression? 1.) ab 2.) 16 + 3 3.) 3x + 2 4.) 7x CONFIDENTIAL

  16. 1.) In the Algebraic Expression 3x + 5 - 2y - what are the variables? -what are the numbers? -what are the operations? Evaluate each expression if a = 3, b = 12, and c = 8. 2.) 7c ÷ 4 + 5a 3.) a2 + 5b - c2 4.) b2÷ ( 3 c) 5.) 15 + 9a ÷ 3 . CONFIDENTIAL

  17. Good Job! You worked hard today! Let's review what we learned..... Algebraic Expressions consist of Variables, Numbers, and Operations. Example: 4x + 8 Variables are symbols (usually letters) that represent Numbers. Example: x or y or a or b etc. The Variables in an Expression can be replaced with Numbers. Example: In the Expression 4b - 2 , we can replace b with a Number. . We can Evaluate Expressions by finding the value of the Expression when we replace the Variable with a Number. Example: When b = 3, the Expression 3b +10 has a value of 19 We can write multiplication as 3 x a OR 3a OR 3 a CONFIDENTIAL

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