Chapter 1 Expressions Equations and Functions Algebra I

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 Equal is

Chapter 1 – Expressions, Equations, and Functions Algebra I A - Meeting 2 Section 1. 3 – Write Expressions Example # 1 – Translate Phrases & Expressions Verbal Phrases Expressions #3 Eight more than a number x x+6 #5 One-Half of a number m ½m #7 The difference of seven and a number n 7–n #9 The quotient of twice a number t and twelve 2 t/12 # 10 Three less than the square of a number p p 2 – 3 # 11 Seven less than twice a number k 2 k – 7 # 12 Five more than three times a number w 3 w + 5 # 16 Number of pages of a five page article left to read if you’ve read p pages 5–p # 17 Each person’s share if p people share sixteen slices of a pizza equally 16/p # 19 Number of days left in the week if d days have passed so far 7–d # 20 Number of months in y years 12 y

Chapter 1 – Expressions, Equations, and Functions Algebra I A - Meeting 2 Section 1. 3 – Write Expressions Example # 2 – Unit Rates 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

Chapter 1 – Expressions, Equations, and Functions Algebra I A - Meeting 2 Section 1. 3 – Apply Order of Operations Example # 3 – Word Problem # 31 Tickets to a science museum cost $19. 95 each. There is a $3 charge for each order no matter how many tickets are ordered. 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 5 tickets. Total Cost = * 5 Tickets) +

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 ≥ Symbol Meaning Associated Words Verbal Sentence Equation/ Inequality = Is equal to the same as The sum of twice a number r and 3 is 11. 2 r +3 = 11 < Is less than fewer than The sum of 14 and twice a number y is less than 78. 14+2 y < 78 ≤ Is less than or equal to at most, no more than The quotient of a number n and 2 is at most 16. > Is greater than more than 3 less than twice a number n is more than 12. ≥ Is greater than or equal to at least, no less than The product of 5 and a number k is no less than 30. > or ≤ Is less than or Is greater than or equal to Double Statement A number r is greater than 12 or less than 6 < and ≤ Is greater than and Is less than or equal to Double Statement A number q is at least 5 and less than 17. n/2 ≤ 16 2 n – 3 > 12 5 k ≥ 30 r > 12 or r < 6 5 ≤ q < 17

Chapter 1 – Expressions, Equations, and Functions Algebra I A - Meeting 2 Section 1. 4 – Write Equations and Inequalities Class Example # 4: Verbal Expression Inequality Substitute 3 for the Variable True/False The difference of a number c and 17 is more than 33. c – 17 > 33 (3) – 14 > 33 -11 > 33 False The product of 3 and a number x and is at most 21. 3 x ≤ 21 3(3) ≤ 21 9 ≤ 21 True The sum of 7 and three times a number b is at least 12. 7 + 3 b ≥ 12 7 + 3(3) ≥ 12 7 + 6 ≥ 12 13 ≥ 12 True

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 $ 80 + Price of Scanner ≤ $ 150 If you buy a scanner that costs $ 75, will you remain within your budget? $ 80 + $ 75 ≤ $ 150 $ 155 ≤ $ 150 No, you cannot buy the $75 Scanner, because $155 is more than $150.

Chapter 1 – Expressions, Equations, and Functions Section 1. 3 & 1. 4 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 Algebra I A - Meeting 2