Algebra 1 Notes: Lesson 1-2: Order of Operations

Objectives Write expressions from a story problem Evaluate expressions using order of operations

Order of Operations Parentheses. Exponents. Multiplication and Division from left to right. 4. Addition and Subtractions from left to right.

P E M D A S

Please Excuse My Dear Aunt Sally

Please Parenthesis Excuse Exponents My Multiplication Dear Division Aunt Addition Sally Subtraction

Example 1 2[5 + (30  6)2]

Example 1 2[5 + (30  6)2]

Example 1 2[5 + (30  6)2]

Example 1 2[5 + (30  6)2] = 2[5 + (5)2]

Example 1 2[5 + (30  6)2] = 2[5 + (5)2]

Example 1 2[5 + (30  6)2] = 2[5 + (5)2]

Example 1 2[5 + (30  6)2] = 2[5 + (5)2] = 2[5 + 25]

Example 1 2[5 + (30  6)2] = 2[5 + (5)2] = 2[5 + 25]

Example 1 2[5 + (30  6)2] = 2[5 + (5)2] = 2[5 + 25]

Example 1 2[5 + (30  6)2] = 2[5 + (5)2] = 2[5 + 25] = 2[30]

Example 1 2[5 + (30  6)2] = 2[5 + (5)2] = 2[5 + 25] = 2[30]

Example 1 2[5 + (30  6)2] = 2[5 + (5)2] = 2[5 + 25] = 2[30]

Example 1 2[5 + (30  6)2] = 2[5 + (5)2] = 2[5 + 25] = 2[30] = 60

Example 1 2[5 + (30  6)2] = 2[5 + (5)2] = 2[5 + 25] = 2[30] = 60

Example 2 Simplify the top first.

Next simplify the bottom. Example 2 Next simplify the bottom.

Example 2 Leave your answer as a simplified fraction – do not divide to make it a decimal.

Example 3 Evaluate a2 – (b3 – 4c) if a = 7, b = 3, and c = 5

Example 3 Evaluate a2 – (b3 – 4c) if a = 7, b = 3, and c = 5

Example 3 Evaluate a2 – (b3 – 4c) if a = 7, b = 3, and c = 5

Example 3 Evaluate a2 – (b3 – 4c) if a = 7, b = 3, and c = 5

Example 3 Evaluate a2 – (b3 – 4c) if a = 7, b = 3, and c = 5

Example 3 Evaluate a2 – (b3 – 4c) if a = 7, b = 3, and c = 5

Example 3 Evaluate a2 – (b3 – 4c) if a = 7, b = 3, and c = 5 = 72 – (27 – 4  5)

Example 3 Evaluate a2 – (b3 – 4c) if a = 7, b = 3, and c = 5 = 72 – (27 – 4  5)

Example 3 Evaluate a2 – (b3 – 4c) if a = 7, b = 3, and c = 5 = 72 – (27 – 4  5)

Example 3 Evaluate a2 – (b3 – 4c) if a = 7, b = 3, and c = 5 = 72 – (27 – 4  5) = 72 – (27 – 20)

Example 3 Evaluate a2 – (b3 – 4c) if a = 7, b = 3, and c = 5 = 72 – (27 – 4  5) = 72 – (27 – 20)

Example 3 Evaluate a2 – (b3 – 4c) if a = 7, b = 3, and c = 5 = 72 – (27 – 4  5) = 72 – (27 – 20)

Example 3 Evaluate a2 – (b3 – 4c) if a = 7, b = 3, and c = 5 = 72 – (27 – 4  5) = 72 – (27 – 20) = 72 – 7

Example 3 Evaluate a2 – (b3 – 4c) if a = 7, b = 3, and c = 5 = 72 – (27 – 4  5) = 72 – (27 – 20) = 72 – 7

Example 3 Evaluate a2 – (b3 – 4c) if a = 7, b = 3, and c = 5 = 72 – (27 – 4  5) = 72 – (27 – 20) = 72 – 7

Example 3 Evaluate a2 – (b3 – 4c) if a = 7, b = 3, and c = 5 = 72 – (27 – 4  5) = 72 – (27 – 20) = 72 – 7 = 49 – 7

Example 3 Evaluate a2 – (b3 – 4c) if a = 7, b = 3, and c = 5 = 72 – (27 – 4  5) = 72 – (27 – 20) = 72 – 7 = 49 – 7

Example 3 Evaluate a2 – (b3 – 4c) if a = 7, b = 3, and c = 5 = 72 – (27 – 4  5) = 72 – (27 – 20) = 72 – 7 = 49 – 7

Example 3 Evaluate a2 – (b3 – 4c) if a = 7, b = 3, and c = 5 = 72 – (27 – 4  5) = 72 – (27 – 20) = 72 – 7 = 49 – 7 = 42

Example 3 Evaluate a2 – (b3 – 4c) if a = 7, b = 3, and c = 5 = 72 – (27 – 4  5) = 72 – (27 – 20) = 72 – 7 = 49 – 7 = 42

Write an expression A computer store is selling software packages on sale at 3 for $20. Individual software packages costs $9.95. Write an expression to find the cost of 5 software packages. How much would 5 software packages cost?

Write an expression A computer store is selling software packages on sale at 3 for $20. Individual software packages costs $9.95. Write an expression to find the cost of 5 software packages. 20 + 2(9.95) How much would 5 software packages cost?

Write an expression A computer store is selling software packages on sale at 3 for $20. Individual software packages costs $9.95. Write an expression to find the cost of 5 software packages. 20 + 2(9.95) 20 + 19.90 How much would 5 software packages cost?

Write an expression A computer store is selling software packages on sale at 3 for $20. Individual software packages costs $9.95. Write an expression to find the cost of 5 software packages. 20 + 2(9.95) 39.90 20 + 19.90 How much would 5 software packages cost?

Write an expression A computer store is selling software packages on sale at 3 for $20. Individual software packages costs $9.95. Write an expression to find the cost of 5 software packages. 20 + 2(9.95) 39.90 20 + 19.90 How much would 5 software packages cost? $39.90

Try these on your own 1) 48 – 23  3 + 5 2) 4 [ 12 ÷ (6 – 2)]2 1) 48 – 23  3 + 5 2) 4 [ 12 ÷ (6 – 2)]2 25 – 6  2 4) a2 – ( b3 – 4c) 33 – 5  3 – 2 a = 7, b = 3, c = 5 5) 2k + gh2 – j 6) 2g ( h- g) gh - j k = 12, g = 4, h = 6, j = 8

Try these on your own 1) 48 – 23  3 + 5 2) 4 [ 12 ÷ (6 – 2)]2 29 36 1) 48 – 23  3 + 5 2) 4 [ 12 ÷ (6 – 2)]2 29 36 25 – 6  2 4) a2 – ( b3 – 4c) 33 – 5  3 – 2 a = 7, b = 3, c = 5 5) 2k + gh2 – j 6) 2g ( h- g) gh – j k = 12, g = 4, h = 6, j = 8

Try these on your own 1) 48 – 23  3 + 5 2) 4 [ 12 ÷ (6 – 2)]2 29 36 1) 48 – 23  3 + 5 2) 4 [ 12 ÷ (6 – 2)]2 29 36 25 – 6  2 4) a2 – ( b3 – 4c) 33 – 5  3 – 2 a = 7, b = 3, c = 5 2 42 5) 2k + gh2 – j 6) 2g ( h- g) gh – j k = 12, g = 4, h = 6, j = 8

Try these on your own 1) 48 – 23  3 + 5 2) 4 [ 12 ÷ (6 – 2)]2 29 36 1) 48 – 23  3 + 5 2) 4 [ 12 ÷ (6 – 2)]2 29 36 25 – 6  2 4) a2 – ( b3 – 4c) 33 – 5  3 – 2 a = 7, b = 3, c = 5 2 42 5) 2k + gh2 – j 6) 2g ( h- g) 160 gh – j 1 k = 12, g = 4, h = 6, j = 8

Assignment: Pg. 14: 16 – 28 (even) 29 – 31 (all) 32 – 38 (even)