Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
7-1 and 7-2 Objective: To solve factoring Word Problems and to review other word problems. EX 1 A cafeteria has 18 chocolate-milk cartons and 24 regular-milk cartons. The cook wants to arrange the cartons with the same number of cartons in each row. Chocolate and regular milk will not be in the same row. How many rows will there be if the cook puts the greatest possible number of cartons in each row? EX 2 The area of a court for the game squash is (9x2 + 6x) square meters. Factor this polynomial to find possible expressions for the dimensions of the squash court. EX 3 Adrianne is shopping for a CD storage unit. She has 36 CDs by pop music artists and 48 CDs by country music artists. She wants to put the same number of CDs on each shelf without putting pop music and country music CDs on the same shelf. If Adrianne puts the greatest possible number of CDs on each shelf, how many shelves does her storage unit need? TRY THIS Cindi is planting a rectangular flower bed with 40 orange flower and 28 yellow flowers. She wants to plant them so that each row will have the same number of plants but of only one color. How many rows will Cindi need if she puts the greatest possible number of plants in each row? 7-1 and 7-2 Objective: To solve factoring Word Problems and to review other word problems. In Class Practice: 1) Eloise saved all her awards from school. She has 18 athletic awards and 27 academic awards. Eloise wants to display the two types separately but in rows of equal length. Determine the greatest number of awards Eloise can put in each row. Then determine the total number of rows. 2) Matías and Hannah are responsible for the centerpieces on the buffet tables at the school dance. They have 6 dozen carnations, 80 lilies, and 64 rosebuds. All the centerpieces must be identical. Determine the greatest number of centerpieces Matías and Hannah can make if they use all the flowers. Then describe the centerpiece. Part of an ad for interlocking foam squares is shown below. Use it to answer questions 3-5. Select the best answer. 3) A class arranges on package into a rectangle Each package comes with 36 foam squares that with dimensions other than those shown. interlock for a safe, colorful floor mat! Which could have been the dimensions? You can make a ... Square rectangle or any shape you want! A 2 18 C 48 B 3 16 D 56 4) A teacher has 2 packages of red, 6 packages of blue, and half a package of yellow squares. He wants to build a rectangle so that each row is the same color. What can be the maximum number of squares per row? F 2 H 18 G 6 J 36 6) The area of a rug, which is shaped like a rectangle, is 4x2 - 4x square feet. Factor this polynomial to find expressions for the dimensions of the rug. 5) In problem 4, how many rows will be blue? A 2C 6 B3 D 12 7) The perimeter of a rhombus is 12x + 28 feet. Factor this expression. Then find the length of one side if x = 8. (Hint: A rhombus is a parallelogram with four congruent sides.) 7-1 and 7-2 Objective: To solve factoring Word Problems and to review other word problems. You must write one or two equations to solve the following problems. Show all of your work. 8) The sum of two numbers is 32. One number is 4 more than the other. Find the numbers. 9) There are 158 members in the soccer program. There are 16 more boys than girls. How many boys are there? 10) A collection of 27 nickels and dimes is worth $1.95. How many of each coin are there? 11) The length of a rectangle is 3 less than twice the width. The perimeter is 54. Find the dimensions. Find the area. 12) Museum passes cost $5 for adults and $2 for children. One day the museum sold 1820 passes for $6100. How many of each type were sold? 13) In a math contest, each team is asked 50 questions. The teams earn 15 points for each correct answer and lose 8 for each incorrect answer. One team finished with a score of 566. How many questions did this team answer correctly? 7-1 and 7-2 Objective: To solve factoring Word Problems and to review other word problems. 14) A chemist mixes 16 L of a 40% acid solution and 24 L of a 16% acid solution. What is the percent of acid of the mixture? 15) A grocer mixes a premium blend worth $17 per kilogram with a blend worth $7 per kilogram to make 36 kg of a blend worth $11 per kilogram. How many kilograms of each type are included? 16) The sum of two numbers is 51 and their difference is 13. Find the numbers. 17) Five pens and four pencils cost $2.55. But four pens and five pencils cost $2.40. How much do the pens cost and how much do the pencils cost? 18) The price of a home increased 12% to $78,400. What was the original price of the home? 19) The price of a shirt was decreased by 30% to $23.50. What was the original price of the shirt? 20) The student’s grade increased by 15%. Their new grade is an 85%. What was their original grade? 21) The real estate agent made a 3% commission on the sale of a $455,000 house. How much money did the agent make?