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(over Chapter 2) Find –6 – (–12). A. 18 B. 12 C. 6 D. –6 Find –5(11). A. –55 B. –16 C. 16 D. 55 The temperature at 2:00 P.M. was 58ºF. By 9:00 P.M. the temperature was 44ºF. What is the average change in the temperature per hour? 1. A A. –14ºF B. –7ºF C. –2ºF D. –1ºF 2. 3. 4. B C D (over Chapter 2) Find –6 – (–12). A. 18 B. 12 C. 6 D. –6 0% 0% A B 1. 2. 3. 4. 0% C A B C D 0% D (over Chapter 2) Find –5(11). A. –55 B. –16 C. 16 D. 55 0% 0% A B 1. 2. 3. 4. 0% C A B C D 0% D (over Chapter 2) The temperature at 2:00 P.M. was 58ºF. By 9:00 P.M. the temperature was 44ºF. What is the average change in the temperature per hour? A. –14ºF B. –7ºF 0% D A 0% A B C 0%D C D. –1ºF 1. 2. 3. 0%4. B C. –2ºF Main Idea Example 4: Real-World Example Example 5: Test Example • Write verbal phrases and sentences as simple algebraic expressions and equations (2.8.8C) (M7.D.2.1). Add Subtract Added Difference Multiplied Quotient Plus minus Sum Multiply Divide Product Divided by times separate FOOD An average American adult drinks more soft drinks than any other beverage each year. Three times the number of gallons of soft drinks plus 27 is equal to the total 183 gallons of beverages consumed. Write an equation that models this situation. Words Three times the number of gallons of soft drink plus 27 equals 183. Variable Let s = the number of gallons of soft drinks. Equation 3s + 27 = 183 Answer: The equation is 3s + 27 = 183. EXERCISE It is estimated that American adults spend an average of 8 hours per month exercising. This is 26 hours less than twice the number of hours spent watching television each month. Write an equation that models this situation. A. 8 – 2t = 26 D. 26 – 2t = 8 0% D A 0% A B C D 0% C C. 2t – 26 = 8 1. 2. 3. 4. 0% B B. 2t – 8 = 26 Which problem situation matches the equation 4.9y = 17.3? A After giving away 4.9 kg of tomatoes, Harry had 17.3 kg left. What is y, the number of kg of tomatoes that Harry began with? B The total length of two toy cars is 17.3 cm. One car is 4.9 cm long. What is y, the length of the other car? C A chemist separated a solution into 4 equal quantities of 17.3 mL. What is y, the amount of solution she began with? D Rodrigo spent $17.30 on fishing line. If each meter of line cost $4.90, what is y, the total length of the line? Read the Item You need to find which problem situation matches the equation y ● 4.9 = 17.3. Solve the Item You can eliminate choice A because it involves subtraction, not multiplication. You can eliminate choice B because it involves addition, not multiplication. You can eliminate choice C because it involves multiplying 4 and 17.3. Choice D is the correct answer; the cost per meter times the number of meters should equal the total cost for the line. Answer: D Which problem situation matches the equation x – 7.5 = 22.4? C. A board measuring 22.4 cm in length is cut into pieces. One of the pieces is 7 cm longer than the other. Find the lengths of the two pieces. D. Nicole lives 7.5 miles away from school. She travels this distance in 22.4 minutes. At what rate does Nicole travel? 1. 2. 3. 4. 0% A B C D 0% 0% 0% D Kevin spends $22.40 on video games. His friend Aaron spends $7.50 more than Kevin. How much did Aaron spend? C B. B The cost of a new book is $7.50. How many books can Cori purchase is she has a total of $22.40? A A. REVIEW 1. The median age of people living in Arizona (34.3) is 1 year younger than the median age of people living in the US. Write an equation to find the median age in the US. x – 1 = 34.3 Which problem situations matches the equation x – 15 = 46? B A. The original price of a jacket is $46. The sale price is $15 less. What is x, the sale price of the jacket? B. Mark had several baseball cards. He sold 15 of the cards and had 46 left. What is x, the amount of cards Mark had to start with? C. Sonja scored 46 points in last week’s basketball game. Talisa scored 15 points less. What is x, the amount of points Talisa scored? D. Katie earned $15 babysitting this week. Last week she earned $46. What is x, her average earnings for the two weeks? TEST PRACTICE 1. Asha had some change in her purse. After her brother gave her $.79, Asha had $2.24 altogether. Which equation can she use to find the original amount of the money m she had in her purse? A. 2.24 = m – 0.79 B. m =2.24 x 0.79 C. m + 0.79 = 2.24 D. m + 2.24 = 0.79 C 2. Which algebraic equation best describes the total distance D traveled in miles after a 6-hour period, if r represents the rate of travel in miles per hour? F. D = 6 + r G. D = r/6 H. D = 6r I. D = 6/r H End of the Lesson Five-Minute Check (over Chapter 2) Image Bank Math Tools Solving Equations Using Models Perimeter Solving Equations Two-Step Equations