1. Chapter 2: Linear Equations Essential Question: How do you solve equations that involve ratios, proportions, consecutive integers, and percent of change? Why is it an advantage to know how to use and solve equations algebraically?

2. 2-1: Writing Equations Ex 1: Translate each sentence into an equation a) Seven times a number squared is five times the difference of k and m b) Fifteen times a number subtracted from 80 is 25 Guided Practice 1A) Two plus the quotient of a number and 8 is the same as 16

3. Ex 2: Follow along on page 76 and write an equation accordingly Guided Practice 2. There are 50 members in the North Carolina Senate. This is 70 fewer tha the number in the North Carolina House of Representatives. How many members are in the North Carolina House of Representatives?

4. Ex 3: Translate the sentence into a formula The area of a triangle equals the product of ½ the length of the base and the height. Guided Practice 3. Translate the sentence into a formula: In a right triangle, the square of the measure of the hypotenuse c is equal to the sum of the squares of the measures of the legs, a and b.

5. Ex 4: Translate each equation into a sentence. a) b) Guided Practice 4A) 4B)

6. Ex 5: Write a problem based on the given info (Write your own problem here. Do not copy the example from the book) t = the time that Maxine drove; t + 4 = the time that Tia drove; 2t + (t + 4) = 28 Guided Practice p = Beth’s salary; 0.1p = bonus; p + 0.1p = 525

7. 2-2: Solving One-Step Equations Solve by adding Ex1: c – 22 = 54 Guided Practice: 1A) 113 = g – 25 1B) j – 87 = -3

8. Ex 2: Solve by subtracting 63 + m = 79 Guided Practice 2A) 27 + k = 30 2B) -12 = p + 16

9. Ex 3: Solve by Multiplying and Dividing a) b)39 = -3r Guided Practice 3A) 3B)

10. Ex 4: Of a group of 13- to 15-year-old girls surveyed, 225, or about 9/12 said they talk on the telephone while they watch television. About how may girls were surveyed? Guided Practice Allison is making a stained glass window. Her pattern requires that one fifth of the glass should be blue. She has 288 square inches of blue glass. If she intends to use all of her blue glass, how much glass will she need for the entire project?

11. 2-3: Solving Multi-Step Equations Ex 1: Solve Multi-Step Equations a) 11x – 4 = 29 b) Guided Practice 1A) 2a – 6 = 41B)

12. Ex 2: Write and Solve a Multi-Step Equation Hiroshi is buying a pair of water skis that are on sale for 2/3 of the original price. After he uses a $25 gift certificate, the total cost before taxes is $115. What was the original price of the skis? Write an equation for the problem. Then solve the equation. Guided Practice 2A) A music store has sold 3/5 of their hip-hop CDs, but 10 were returned. Now the store has 62 hip-hop CDs. How many were there originally? 2B) Len read ¾ of a graphic novel over the weekend. Monday, he read 22 more pages. If he has read 220 pages, how any pages does the book have?

13. Solve Consecutive Integer Problems

14. Ex 3: Solve Consecutive Integer Problem Write an equation for the following problem. Then solve the equation and answer the problem. Find three consecutive odd integers with a sum of -51. Guided Practice: Find three consecutive integers with a sum of 21

15. 2-4: Solving Equations with the Variable on Each Side Ex 1: 2 + 5k = 3K – 6 Guided Practice: 1A) 3w + 2 = 7w1B) 5a + 2 = 6 – 7a 1C) 1D) 1.3c = 3.3c + 2.8

16. Ex 2: Solve an Equation with Grouping Symbols 6(5m – 3) = 1/3(24m + 12) Guided Practice 2A) 8s – 10 = 3(6 – 2s) 2B) 7(n – 1) = -2(3 + n)

17. Ex 3: Find Special Solutions a)5x + 5 = 3(5x – 4) – 10x a)3(2b – 1) – 7 = 6b – 10 Guided Practice 3A) 7x + 5(x – 1) = -5 + 12x3B) 6(y – 5) = 2(10 + 3y)

18. Ex 4: Guided Practice 4)

19. 0-6: The Percent Proportion Ex 1: Express each percent as a fraction or mixed number. a)79% b)107% c)0.5%

20. Ex 2: 40% of 30 is what number? Ex 3: Kelsey took a survey of students in her lunch period. 42 out of the 70 students Kelsey surveyed said their family had a pet. What percent of the students had pets? Ex 4: 67.5 is 75% of what number?

21. 0-11: Simple Probability and Odds Ex 1: A die is rolled. Find each probability. a)Rolling a 1 or 5 b)Rolling an even number

22. Ex 2: A bowl contains 5 red chips, 7 blue chips, 6 yellow chips, ad 10 green chips. One chip is randomly drawn. Find each probability. a)Blue b)Red or yellow c)Not green

23. Ex 3: School baseball caps come in blue, yellow, or white. The caps have either the school mascot or the school’s initials. Use a tree diagram to determine the number of different caps possible.

24. Ex 4: a)An ice cream shop offers one, two, or three scoops of ice cream in 12 different flavors. The ice cream can be served in a wafer cone, a sugar cone, or in a cup. Use the Fundamental Counting Principle to determine the number of choices possible. b)Jimmy needs to make a 3-digit password for his log on name on a website. The password can include any digit 0-9, but the digits may not repeat. How many possible 3-digital passwords are there?

25. Ex 5: Find the odds of rolling a number less than 3.

26. 2-6: Ratios and Proportions Ex 1: Determine Whether Ratios Are Equivalent Determine whether 2/3 and 16/24 are equivalent ratios. Write yes or no. Justify your answer Guided Practice 1A) 6/10, 2/51B) 1/6, 5/30

27. Ex 2: Cross Product a) b) Guided Practice 2A) 2B) 15/36, 35/42

28. Ex 3: Solve a Proportion a) b) Guided Practice 3A) 3B)

29. Ex 4: Rate of Growth In the past two years, a retailer has opened 232 stores. If this rate remains constant, how many stores will the retailer open in the next 3 years? Guided Practice 4) It takes 7 minutes for Isabella to walk around the gym track twice. At this rate, how may times can Isabella walk around the track in a half hour?

30. Ex 5: Scale and Scale Models The scale on a map of the Great Smoky Mountains National Park is 3 inches = 10 miles. The length of the Ramsey Cascades Trail is about 1 1/8 inches on the map. What is the actual length of the trail? Guided Practice 5) On a model airplane, the scale is 5 cm = 2m. If the wingspan of the scale model is 28.5 cm, what is the actual wingspan?

31. 10-7: Similar Triangles Ex 1: Determine Whether Two Traingles are Similar Determine whether the pair of triiagles isismilar. Justify your answer. Guided Practice Determine whether triagle ABC with m<A = 68  and m<B = m<C is similar to triangle DEF with M<E = m<F = 54 . Justify your answer.

32. Ex 2: Determine Whether Two Triangles are Similar Guided Practice

33. Ex 3: Find Missing Measurements Find the missing measures for the pair of similar triangles. Guided Practice 3A)3B)

34. Ex 4: Indirect Measurement Tori is 5 feet 6 inches tall, ad her shadow is 2 feet 9 inches long. She is standing next to a flagpole. If the length of the shadow of the flagpole is 12 feet long, how tall is the flagpole? Guided Practice The directions for pitching a tent include a scale drawing in which 1 inch represents 4.5 feet. In the drawing, the tent is 1 ¾ inches tall. How tall should the actual tent be.

35. 2-7: Percent of Change Ex 1: Percent of Change Determine whether each percent of change is a percent of increase or a percent of decrease. Then find the percent of change. a)original: 20b) original: 25 final: 23 final: 17 Guided Practice 1A) Original: 661D) Original: 500 new: 30 New: 131

36. Ex 2: Percent of Change The number of cruise ships in North America increased 18% from 2000 to 2005. If there were 192 ships in 2005, how many were there in 2000? Guided Practice 2) A recent percent of increase in tuition at Northwestern University, in Evanston, Illinois, was 5.4%. If the new cost is $33,408 per year, find the original cost per year.

37. Ex 3: Sales Tax Marta is purchasing wire and beads to make jewelry. Her merchandise is $28.62 before tax. If the tax is 7.25% of the total sales, what is the final cost? Guided Practice 3) A new DVD costs $24.99. If the sales tax is 6.85%, what is the total cost?

38. Ex 4: Discounts Since Tyrell has earned good grades in school, he qualifies for the Good Student Discount on his car insurance. His monthly payment without the discount is $85. If the discount is 20%, what will he pay each month? Guided Practice A picture frame originally priced at $14.89 is on sale for 40% off. What is the discounted price?

39. 2-8: Literal Equations and Dimensional Analysis Ex 1: Solve for a Specific Variable 4m – 3n = 8 for m Guided Practice 1A) 15 = 3n +6p, for n1B), for k 1C) 28 = t(r + 4), for t

40. Ex 2: Solve for a Specific Variable 3x – 2y = xz + 5, for x Guided Practice 2A) d + 5c = 3d -1, for d2B) 6q – 18 = qr + t, for q

41. Ex 3: Use Literal Equations Follow along a)Solve the formula for r b)Find the radius of the yo-yo Guided Practice 3)The formula for the volume of a rectangular prism is V = lwh, where l is the length, w is the width, ad h is the height. A)Solve the formula for w. B)Find the width of a rectangular prism that has a volume of 79.04 cubic cm, a length of 5.2 centimeters, and a height of 4 cm.

42. Ex 4: Use Dimensional Analysis A 10K run is 10 kilometers long. If 1 meter = 1.094 yards, use dimensional analysis to find the length of the race in miles. (Hint: 1 mi = 1760 yd) Guided Practice A car travels a distance of 100 feet in about 2.8 seconds. What is the velocity of the car in miles per hour? Round the nearest whole number.

43. 2-9: Weighted Averages Ex 1: Mixture Problem

44. Ex 2: Percent Mixture Problem

45. Ex 3: Speed of One Vehicle

46. Ex 4: Speeds of Two Vehicles