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Chapter 1 – Expressions, Equations, and Functions Algebra I A - Meeting 2 Section 1.3 – Write Expressions Synonyms for Verbal Phrases Addition sum, plus, total, more than, increased by Subtraction difference, less than, minus, decreased by Multiplication times, product, multiplied by, of Division quotient, divided by, divided into, ratio Equalis
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Chapter 1 – Expressions, Equations, and Functions Algebra I A - Meeting 2 Section 1.3 – Write Expressions Example # 1 – Translate Phrases & Expressions 12yNumber of months in y years # 20 7 – dNumber of days left in the week if d days have passed so far # 19 16/pEach person’s share if p people share sixteen slices of a pizza equally # 17 5 – pNumber of pages of a five page article left to read if you’ve read p pages # 16 3w + 5Five more than three times a number w # 12 2k – 7Seven less than twice a number k # 11 p 2 – 3Three less than the square of a number p # 10 2t/12The quotient of twice a number t and twelve # 9 7 – nThe difference of seven and a number n # 7 ½ mOne-Half of a number m # 5 x + 6Eight more than a number x # 3 ExpressionsVerbal Phrases
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Chapter 1 – Expressions, Equations, and Functions Algebra I A - Meeting 2 Example # 2 – Unit Rates Section 1.3 – Write Expressions Find the Unit Rate of the following expressions. a) 600 students in 8 classes The Unit Rate is 75 students per one class b) 32 pencils in 4 boxes The Unit Rate is 8 pencils per one box
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Chapter 1 – Expressions, Equations, and Functions Algebra I A - Meeting 2 There is a $3 charge for each order no matter how many tickets are ordered. Section 1.3 – Apply Order of Operations Example # 3 – Word Problem # 31 Tickets to a science museum cost $19.95 each. Write an expression for the cost (in dollars) of ordering tickets. Total Cost =(Ticket Price * Number of Tickets)+ Surcharge for Tickets Total Cost =* Number of Tickets) + Find the total cost if you order Total Cost =* 5 Tickets) + Total Cost = 5 tickets. Total Cost =
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Chapter 1 – Expressions, Equations, and Functions Algebra I A - Meeting 2 Section 1.4 – Write Equations and Inequalities Open Sentence – a mathematical statement that contains two algebriac expressions and a symbol that compares them Equation – a open sentence that contains the symbol =. Inequality – a open sentence that contains one of the following symbols:, or ≥ 2r +3 = 11 The sum of twice a number r and 3 is 11. the same asIs equal to= 14+2y < 78 The sum of 14 and twice a number y is less than 78. fewer thanIs less than< 5 ≤ q < 17 A number q is at least 5 and less than 17. Double Statement Is greater than and Is less than or equal to < and ≤ r > 12 or r 12 or r < 6 A number r is greater than 12 or less than than 6 Double Statement Is less than or Is greater than or equal to > or ≤ 5k ≥ 30 The product of 5 and a number k is no less than 30. at least, no less than Is greater than or equal to≥ 2n – 3 > 12 3 less than twice a number n is more than 12. more thanIs greater than> n/2 ≤ 16 The quotient of a number n and 2 is at most 16. at most, no more than Is less than or equal to≤ Equation/Inequality Verbal Sentence AssociatedWordsMeaning Symbo l
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Chapter 1 – Expressions, Equations, and Functions Algebra I A - Meeting 2 Section 1.4 – Write Equations and Inequalities Class Example # 4: True7 + 3(3) ≥ 12 7 + 6 ≥ 12 13 ≥ 12 7 + 3b ≥ 12 The sum of 7 and three times a number b is at least 12. True3(3) ≤ 21 9 ≤ 21 3x ≤ 21The product of 3 and a number x and is at most 21. False(3) – 14 > 33 -11 > 33 c – 17 > 33The difference of a number c and 17 is more than 33. True/FalseSubstitute 3 for the Variable InequalityVerbal Expression
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Chapter 1 – Expressions, Equations, and Functions Algebra I A - Meeting 2 Section 1.4 – Write Equations and Inequalities Example # 5 – Word Problem You are buying a new printer and a scanner for your computer, and you cannot spend over $ 150. The printer you want costs $ 80. Write an inequality that describes the most that you can spend on the scanner and stay within your budget. Price of Printer+ Price of Scanner≤ Budget for Purchases If you buy a scanner that costs $ 75, $ 80+ Price of Scanner≤ $ 150 will you remain within your budget? $ 80+ $ 75≤ $ 150 $ 155≤ $ 150 No, you cannot buy the $75 Scanner, because $155 is more than $150.
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Chapter 1 – Expressions, Equations, and Functions Algebra I A - Meeting 2 Homework # 2 pg 19 # 32, 35, 36 pg 24 # 5 – 11 all; 19, 22, 25, 28, 40, 42, 45 Study for Quiz on Section 1.1-1.4 Section 1.3 & 1.4
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