1. Chapter 1

2. Chapter 1.1 Variables

3. Age Activity Start with your age Step 1: Add 5 to the age Step 2: Multiply the result of Step 1 by 2 Step 3: Subtract twice your age from the result of Step 2 Step 4: Subtract 10 from the result of Step 3 Pick different ages and try again. Talk with the people in your group and explain why you get the answers you get.

4. Vocabulary for Chapter 1.1 Variable – A letter that is used to represent one or more numbers. Variable Expressions – A collection of numbers, variables and operations.

5. Examples of Variable Expressions 2x 9 + b p – 5

6. Let’s write variable expressions from the Age Activity Start with your age Step 1: Add 5 to the age Step 2: Multiply the result of Step 1 by 2 Step 3: Subtract twice your age from the result of Step 2 Step 4: Subtract 10 from the result of Step 3 x (x + 5) 2 x + 5 ((x + 5) 2) – 2x (((x + 5) 2) – 2x) - 10

7. Steps to solving Variable Expressions 1.Write the variable expression 2.Substitute values for the variables 3.Simplify the numerical expression y =5 8y 8(5) 40

8. Evaluate the expression when y = 5 1)2) y + 33) 5 + 2y 2 5 + 3 8 5 + 2(5) 5 + 10 15

9. Evaluate the expression when a = 3 and b = 4 1) a + b 3 + 4 7 2) 2a - b 2(3) - 4 6 - 4 2 3) 3

10. Find the average speed of a car that traveled 180 miles from Boise, Idaho to the Minidoka National Wildlife Refuge in 3 hours. Average Speed = miles hour = distance time 60 mph==

11. Find the perimeter of the triangle in feet. a = 8 b = 15 c = 17 Perimeter – add all of the sides Perimeter = a + b + c 8 + 15 + 17 40 feet

12. The simple interest earned by money P (the principal) at an annual interest rate r for t years is given by Prt. You deposit $650 at a rate of 8% per year. How much simple interest will you earn after one half of a year? Simple interest = Prt P = 650 r = 8% = 0.08 t = ½ = 0.5 =(650)(0.08)(0.5) = $26

14. Chapter 1.2 Exponents and Powers

15. Use you calculator to fill in the tables. Use the ^ key for the exponents: 2^1 for the first value 2222222 3333333 4444444 5555555 1) 4) 3) 2)

16. Vocabulary for Chapter 1.2 Power – An expression like Exponent – The number 6 in the expression Base – The number 4 in the expression

17. Use the calculator to evaluate the power 1) 6)5) 4) 3)2) 729 17 1255904936

18. Evaluate the expression when a = 1 and b = 2 3)2)1)

19. An aquarium has the shape of a cube. Each edge is 2.5 feet long. Find the volume in cubic feet. 2.5ft Volume = length width height Volume =lwh Square – l=w=h=s =s s s =s =(2.5)=15.625 ft

21. Chapter 1.3 Order of Operations

22. You are ordering a pair of jeans from a catalog. The catalog company charges sales tax on the total purchase amount, plus a shipping fee. The jeans you are ordering cost $20. The sales tax rate is 5% and the shipping fee is $3. Which is the correct way to compute your total bill? Why? A) 20 + 20 0.05 + 3 = 40 0.05 + 3 = 2 + 3 = 5 B) 20 + 20 0.05 + 3 = 20 + 1 + 3 = 21 + 3 = 24 C) 20 + 20 0.05 + 3 = 40 0.05 + 3 = 40 3.05 = 122 D) 20 + 20 0.05 + 3 = 20 + 20 3.05 = 20 + 61 = 81

23. Order of Operations Parentheses Exponents Multiply Divide Add Subtract Please Excuse My Dear Aunt Sally

24. 1. 3 · (5 + 4) 3 · (9) 27 2. 3 · 4² + 1 3 · 16 + 1 48 + 1 49 3. 16 + 4 ÷ 2 – 3 16 + 2 – 3 18 – 3 15 4. 5 · 3² - (6 + ) 5 · 3² - (6 + 4) 5 · 3² - 10 5 · 9 – 10 45 – 10 35 5. 10 ÷ (3 + 2) + 9 10 ÷ 5 + 9 2 + 9 11 6.

26. Chapter 1.4 Equations and Inequalities

27. Definitions Equation – When an equal sign (=) is placed between two equal expressions Inequality – When an inequality symbol is placed between two expressions

28. Examples of Equations 3 – c = 7 5x + 2 = 3 a + 6 = 6 + a

29. Check whether the numbers 2, 3 and 4 are solutions of the equation 4x – 2 = 10 x4x – 2 = 10ResultConclusion 2 3 4 4(2) – 2 = 10 4(3) – 2 = 10 4(4) – 2 = 10 6 10 10 = 10 14 10

30. Inequality Symbols SymbolMeaning > < is less than is less than or equal to is greater than is greater than or equal to

31. Decide whether 4 is a solution to the inequality a) 2x – 1 < 8b) x + 4 > 9c) x – 3 1 2(4) – 1 < 8 7 < 8 4 + 4 > 9 8 > 9 4 – 3 1 1 8 – 1 < 8

33. Chapter 1.5 Translations

34. AdditionSubtractionMultiplicationDivision times sum total more than decreased by fewer than plusdifference minus quotient product twice ofless multiplied less than increased by half divided fewer

35. Translate Verbal Phrases into Algebra 1)3 more than the quantity 5 times a number n. 2)2 less than the sum of 6 and a number m. 3)A number x decreased by the sum of 10 and the square of a number y. 4)The product of seven and a number y is 12. 5)4 cubed divided by a number p. 3 + 5n (6 + m) - 2 x – (10 + y²) 7y = 12 4³ ÷ p

36. Translate Expressions into Verbal Phrases 1)9 > 3s 2) 3)3(x – 2) = 10 4)5x - 12 Nine is greater than 3 times a number s. 20 divided by a number n. Three times the difference of x and 2 is 10. 5 multiplied by x minus 12.

37. Using a Verbal Model 1)Ben’s hourly wage b at his after school job is $1.50 less than Eileen’s hourly wage e. 2)The distance s to school is 1/5 mile more than the distance c to the Community Center’s swimming pool. 3)The length c of the Colorado River is 3 times the length r of the Connecticut River plus 229 miles b = e – 1.50 s = c + 1/5 c = 3r + 229

38. Using a Verbal Model con’t 4) The product of $25 and the number m of club memberships is greater than or equal to $500. 5) The length of the hypotenuse of a right triangle c squared is equal to 4 squared plus 3 squared. 25m ≥ 500 c² = 4² + 3²