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Solve Using the order of operations 1) 5 + (12 – 3) 5+ 9 14 3) 39 ÷ (9 + 4) 39 ÷ 13 3 2) 8 – 3 • 2 + 7 8 - 6 +7 2 + 7 9 4) 10 + 8 ÷ 2 – 6 10 + 4 - 6 14 - 6 8 5) 36 ÷ (1 + 2)2 36 ÷ 32 36 ÷ 3 • 3 36 ÷ 9 4 PEM DAS Translating Expressions and Equations Essential question: What strategies can I use to help me understand and represent real situations using algebraic expressions and equations? Lesson Objective: To translate verbal phrases into algebraic expressions and vice versa. Let’s look at some vocabulary Variable – A symbol (usually a letter) used to represent an unknown number w Verbal Phrase - A word or group of words used to describe a math operation 5 more than x Algebraic Expression- A phrase with numbers, variables, and operations 2x-5 Key Math Words for Addition Add Sum Increased Total More More than Plus Key Math Words for Subtraction Decreased by Less than Difference of Left Less Lower than Reduced by Minus Key Math Words for Multiplication Double Triple Half Twice Product Of Times Squared Multiplied by Cubed Key Math Words for Division Divided into Quotient Half Divided by Change the verbal phrase to an algebraic expression. eight less than n n - 8 Change the verbal phrase to an algebraic expression. 13 more than a # k k + 13 Change the verbal phrase to an algebraic expression. seven increased by t 7 + t Change the verbal phrase to an algebraic expression. twice a number plus nine 2n + 9 Change the verbal phrase to an algebraic expression. p divided by 3 p / 3 Which of the following expressions represents 7 times a number decreased by 13? 1. 2. 3. 4. 7x + 13 7x - 13 13 - 7x 13 + 7x Answer Now Which one of the following expressions represents 28 less than three times a number? 1. 2. 3. 4. 28 - 3x 3x - 28 28 + 3x 3x + 28 Answer Now Which of the following expressions represents the sum of 16 and five times a number? 1. 2. 3. 4. 5x - 16 16x + 5 16 + 5x 16 - 5x Answer Now Which of the following verbal expressions represents 2x + 9? 1. 2. 3. 4. 9 increased by twice a number a number increased by nine twice a number decreased by 9 9 less than twice a number Answer Now Now take an algebraic expression and make a verbal phrase x+2 Two more than a number x 2n The product of 2 and n 9–a Nine less a number a 6(2 + b) Six times the sum of 2 and b 3d – 14 The product of 3 and d minus 14 Post it Note Exit Ticket Write a verbal phrase for n + 2. Translate g – 17 into an algebraic expression. Classwork / Homework Worksheet 12 Matching Verbal Phrases to expressions Worktext pages Let’s look at some MORE vocabulary Verbal sentence- a complete word statement. The sum of 3 more than x is 8. Equation- A mathematical statement that says two expressions An EQUAtion must have an are equal. EQUAl sign. 2x+2 = 8 What’s that called? Seven less than thirteen The product of six and seven is forty- two. 7 + x = 25 9x – 5 Verbal phrase Verbal sentence Equation Algebraic expression The sum of nine and six is fifteen. Verbal phrase Key Math Words for Equals IS Change the verbal statement to an algebraic equation. The sum of twice a number and three is twelve. 2n+3=12 Change the verbal statement to an algebraic equation. Six times a number decreased by five is thirty-eight. 6n-5=38 Change the verbal statement to an algebraic equation. Five times a number divided by ten is four. 5n ÷ 10 = 4 Change the verbal statement to an algebraic equation. Five more than half a number is eight. ½ p + 5 =8