75 + 6(25); $225 Number of Passengers. 1-2 Words and Expressions

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1 Write a numerical expression for each verbal phrase. 1. the cost of six electronic handheld games if each costs eight dollars the cost of one box of cereal if four boxes cost twelve dollars 12 4 Evaluate each expression (6) (17 8) [6(2) 3] [(20 7) + 1] A tour bus costs $75 plus $6 for each passenger. Write and evaluate an expression to find the total cost for 25 passengers. Then make a table showing the cost for 25, 30, 35, and 40 passengers (25); $225 Number of Passengers Expression Cost ($) (25) (30) (35) (40) 315 Write a numerical expression for each verbal phrase. 12. the height difference between fourteen and nine inches the total number of fish if you had eight and bought four more the number of weeks until vacation if vacation is twenty-eight days away the total length of songs on a CD if each of nine songs is three minutes long 9 3 esolutions Manual - Powered by Cognero Page 1

2 16. the total money earned if Lee sold four scarves at twenty dollars each the number of people left to play if ten of fifteen have played Evaluate each expression [3 + 7(4)] [8(3) (15 9)] A decorative floor pattern has one red square tile surrounded by 12 blue tiles. Write and evaluate an expression to show how many total tiles (red and blue) are needed if there are 15 red tiles. Then make a table showing the total number of tiles if there are 15, 20, 25, or 30 red tiles (3) (11) [(12 5) + 4] (8) (8 6) (15); 195 tiles Red Blue Tiles Tiles Expression Total 15 12(15) (15) (20) (20) (25) (25) (30) (30) 390 esolutions Manual - Powered by Cognero Page 2

3 31. Financial Literacy To place an ad in a newspaper, it costs $8 plus $0.75 for each line. Write and evaluate an expression to find the total cost for an ad that has 6 lines. Then make a table showing the cost if there are 6, 10, 14, and 18 lines in the ad (0.75); $12.50 Lines Expression Total Cost ($) (0.75) (0.75) (0.75) (0.75) Multiple Representations In this problem, you will investigate expressions using a toothpick sequence. a. Table Make a table showing term number and number of toothpicks. b. Words Write a verbal rule to find the number of toothpicks for any term. a. 32. The table shows the prices of admission to the local zoo. a. Write an expression that can be used to find the total cost of admission for 4 adults, 3 children, and 1 senior. b. Find the total cost. a. 4(8) + 3(5) + 4 b. $51 b. The number of toothpicks is two more than twice the term number. 34. Grace has a coupon for $2 off the regular price of each pair of jeans she buys. She buys 4 pairs of jeans with a regular price of $23 each. a. Write and evaluate an expression to find the total cost of the jeans. b. Lamar also buys 4 pairs of the jeans. He has a coupon for $2 off the total purchase price. Write and evaluate an expression for the total cost of his jeans. a. 4(23 2); $84 b. 4(23) 2; $ Model with Mathematics Write two different expressions, each with more than one operation, that have a value of 20. Sample answer: (6 3) + 2; (8 5) 20 esolutions Manual - Powered by Cognero Page 3

4 36. Persevere with Problems Leah bought two packages of special decorative trim for a craft project. One package contains 350 centimeters of trim. The second package contains 200 inches of trim. a. If one inch 2.54 centimeters, write and evaluate an expression to find the number of centimeters in 200 inches. b. Find the total number of centimeters of trim in the two packages. c. How many packages of trim containing 90 inches each will Leah need to buy to have about the same amount of trim from part b? Explain. a. 200(2.54); 508 cm b = 858 cm c. 90 in. 90(2.54) or about cm; ; about 4 packages of 90 inch trim 37. Building on the Essential Question Explain why the rules for the order of operations are important. Support your answer with two numerical examples. Sample answer: Without the order of operations, any expression that contains more than one operation could have many different solutions. For example, when following the order of operations, the expression = or 28. When you do the math from left to right, the expression = 16 4 or Rusty is evaluating as shown below = = = 15 What should Rusty have done differently in order to evaluate the expression correctly? A multiplied (96 3) by (4 + 7) B divided 96 by (3 11) C multiplied (96 3) by 4 and added 7 D divided 96 by (4 + 7) C 39. Evaluate 7[12 (6 2) 4]. F 7 G 14 H 77 J 83 H 40. A man is a musician. He charges $50 for each of the first three hours he plays and $24.95 for each additional hour. Which expression cannot be used to find the total amount he charges if he plays for 7 hours? A 4 $ $50 B 7($50 + $24.95) C $50 + $50 + $50 + 4($24.95) D 3($50) + 4($24.95) B 41. Short Response Max wants to buy 5 hats and 4 T- shirts. Write an expression to find the total cost of 5 hats and 4 T-shirts. Sample answer: 5($15) + 4($20) Round each decimal to the indicated place value ; tenths ; hundredths 3.95 esolutions Manual - Powered by Cognero Page 4

5 ; ones ; tenths ; thousandths ; tenths ; hundredths ; ones ; hundredths esolutions Manual - Powered by Cognero Page 5