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1.A 2.B 3.C 4.D Five Minute Check 1 (over Lesson 1-4) A.44B.64C.120D.140 Evaluate the expression 7 ● 4 + (21 – 5). A. 371B. 307C. 59D. 43 Evaluate the expression (7 – 4) 3 + 32. Evaluate the expression 16 ÷ 4 + 63 ÷ 9. A. 9 B. 11C.12D.27
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Lesson Menu Main Idea Example 1:Guess and Check Practice Problems Lesson Review Cool-Down Problems
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Main Idea/Vocabulary Solve problems using the guess and check strategy (2.5.8A) (M7.A.3.1).
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Example 1 CONCESSIONS The concession stand at the school play sold lemonade for $0.50 and cookies for $0.25. They sold 7 more lemonades than cookies and they made a total of $39.50. How many lemonades and cookies were sold? UnderstandYou know the cost of each lemonade and cookies. You know the total amount made and that they sold 7 more lemonades than cookies. You need to know how many lemonades and cookies were sold. PlanMake a guess and check it. Adjust the guess until you get the correct answer. Guess and Check
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Example 1 SolveMake a guess. 14 cookies, 21 lemonades0.25(14) + 0.50(21) = $14.00 This guess is too low. Guess and Check 50 cookies, 57 lemonades0.25(50) + 0.50(57) = $41.00 This guess is too high. 48 cookies, 55 lemonades0.25(48) + 0.50(55) = $39.50 Check48 cookies cost $12, and 55 lemonades cost $27.50. Since $12 + $27.50 = $39.50 and 55 is 7 more than 48, the guess is correct. Answer: 48 cookies and 55 lemonades
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1.A 2.B 3.C 4.D Example 1 A.51 adults and 71 children B.71 adults and 51 children C.58 adults and 64 children D.64 adults and 58 children ZOO A total of 122 adults and children went to the zoo. Adult tickets cost $6.50 and children’s tickets cost $3.75. If the total cost of the tickets was $597.75, how many adults and children went to the zoo?
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Problem Solving PROBLEM SOLVING 1.A number is multiplied by 5. Then 4 is added to the product. The result is 82. What is the number. 2.Susan has $1.60 in change If she has an equal number of nickels, dimes, and quarters, how many of each does she have? 3.The Jackrabbit roller coaster can handle 1,056 passengers per hour. The coaster has 8 vehicles. If each vehicle carries 4 passengers, how many runs are made in one hour? 10 x 6 = 60 + 4 = 64; 15 x 6 = 90 + 4 = 94; 13 x 6 = 78 + 4 = 82 5(.25) + 5(.10) + 5 (.05) = $2 4(.25) + 4(.10) + 4(.05) = $1.60 8 x 4 = 32/coaster; 30 x 32 = 960; 33 x 32 = 1,056
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LESSON REVIEW 1.Explain why you should keep a careful record of each of your guesses. 2.Write a problem that could be solved by guess and check. The write the steps you would take to find the answer.
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Cool-Down problems (over Lesson 1-4) A.30B.90C.3,000 D. 9,000 Evaluate the expression 3 × 10 3. Evaluate the expression 144 ÷ (2)6. A. 12B. 24C. 72 D. 432 On Mondays, Wednesdays, and Fridays, Adrian runs five miles a day. On Tuesdays, Thursdays, and Saturdays, he runs two miles. On Sunday, Adrian runs 10 miles. Write a numerical expression to find how many miles Adrian runs in a week. Then evaluate the expression. A.(3 ● 5) + (2 ● 2) + 10 = x; x = 31 B. (3 ● 5) + (2 ● 2) + 10 = x; x = 29 C.(3 ● 5) + (3 ● 2) + 10 = x; x = 31 D.(3 ● 5) + (3 ● 2) + 10 = x; x = 29
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End of the Lesson
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Resources Five-Minute Check (over Lesson 1–4) Image Bank Math Tools Arithmetic Sequences Modeling Algebraic Expressions Function Machines
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