Weekly Homework Week Sept. 21st 8th Grade 8A Problem 1. Which group of numbers is in order from greatest to least? C. D. 3. Normally, items packaged in groups of 3 or 5 have a lower unit cost than when sold as individual items. Jenny’s favorite store is having a sale and packaged items can be purchased individually at the lower unit price. Hair spray is normally packaged in sets of 3 cans for $25. Socks are normally packaged in sets of 5 pairs for $12. Jenny wants 2 cans of hair spray and 2 pairs of socks. Which of the following equations could be used to find T, the total price of 2 cans of hair spray and 2 pairs of socks, not including tax? A. T = (25 ÷ 3 x 2) + (12 ÷ 5 x 2) B. T = (25 ÷ 3 x 2) + (12 ÷ 2 x 5) C. T = (25 ÷ 5 x 3) + (25 ÷ 12 + 6) D. T = (12 ÷ 6 x 2) + (25 x 6 ÷ 3) 5. Write the number 4.7 x 10-5 in scientific notation. A. 0.0000047 B. 0.000047 Work and Answer 2. Which of the following situations would most likely produce a scatter plot with a positive correlation? A. The more time I spend at the video arcade, the less money I have in my pocket. B. The more time I spend studying, the higher my test grade. C. The faster I drive, the fewer miles per gallon I get. D. The more time I spend talking on the phone, the less time I have to watch T.V. 7 8 , 0.87, 8 10 8 7 0.87 , , , 88% 10 8 8 7 , 0.87, , 88% 10 8 7 8 88%, 8 , 10 , 0.87 A. 88%, B. Name ________________ Date ________________ C. 4,700,000 D. 470,000 4. The table below shows the relationship between attendance and ticket price for a show. Ticket 0 1 2 3 4 5 6 7 8 Price, t Attendance 850 750 650 550 450 350 250 150 (people), p Which function rule best describes this situation? A. t 800 p 100 B. t C. t = 100p + 800 1 p 800 100 D. t = -100p + 850 6. If a set of data points has a trend line of y = 3.5x – 4, what is the predicted value of x when y = 41.5? A. 12 B. 15 C. 18 D. 13 50 Weekly Homework Week Sept. 21st 8th Grade 8A Name ________________ Date ________________ 7. Mrs. Ellison buys a 4.5-pound whole chicken for $4.41. She goes back to the store the next day to purchase another whole chicken. She finds one that is 5.2 pounds. If the price per pound is the same for both chickens, which equation can be used to find how much she spends on the second chicken? A. p = B. p = (4.5)(5.2) 4.41 (4.5)(4.41) 5.2 C. p = (4.41)(5.2) 4.5 D. p = 5.2 (4.41)(4.5) 9. If a line contains the points in the table, what is the equation of the line? X Y A. B. C. D. Y=x-6 Y = 3x + 9 Y=x+9 Y = 3x - 6 8. Dan’s school is planning a field trip to a museum. Bus Company A charges a $40 rental fee plus $4 for each student. Bus Company B charges $100 plus $2 per student. How many students would have to go for the cost to be the same? A. 10 students B. 30 students C. 35 students D. 70 students 10. What is the equation for a line passing through the points (-2, -2) and (2, -4)? 3 2 2 3 -1 -9 A. Y = x -3 C. y = ½ x + 3 2 0 B. Y = D. y = - ½ x - 3 5 9 7 15 11. Solve the following problem and record your answer in the grid. 2x – 4 = 5x - 31 x+3 12. The volume of the cylinder shown is 9,495.36 cubic centimeters. What is the length of the diameter d? d 21 cm A. 12 cm B. 21 cm C. 24 cm D. 144 cm Weekly Homework Week Sept. 21st 8th Grade 8A Name ________________ Date ________________ 13. Alicia has a cell phone and her monthly bill is based on how many minutes she uses her phone. Her plan follows. Number of minutes Monthly cost m c 0 – 500 $70 501 + $70 + 0.10(m – 500) If Alicia uses 650 minutes during the month of March and 525 minutes of the month of April, which charge best represents the combined cost for March and April? A. $140 B. $207.50 C. $157.50 D. $185 15. During the Industrial Age in the United States, there were approximately 10,000 covered bridges, of which 893 are still standing today. Of the bridges still standing, 231 are in Pennsylvania, 157 are in Ohio, 100 are in Vermont, and the rest are scattered throughout the country. Which expression can be used to find the percentage of the 10,000 covered bridges that are still standing that are located in Ohio? A. 893 10,000 B. 157 893 x 100 x 100 C. 100 893 D. 100 10,000 x 100 x 100 14. The chart below shows the costs of rides at the rodeo fairgrounds. No. of Rides Total Price 1 $6.25 2 $7.50 3 $8.75 4 $10.00 Which equation shows the relationship between the total price, P, and number of rides, r? A. P = 5r + 1.25 C. P = 1.25r + 500 B. P = r(1.25 + 5.00) D. P = 1.25(r + 500) 16. The students at Garcia Middle School are holding a carnival to raise funds for new school equipment. First State Bank said they would give $2.50 for every $10.00 the students raised. The students raised. The students raised $530. Which expression can be used to determine the contribution First State Bank will make? A. 10.00 = x 530.0 2.50 C. 2.5 = x 530 10.00 B. 2.5 10 = 530 x D. 2.50 = x 10 530 Weekly Homework Week Sept. 21st 8th Grade 8A 17. Find the area of the following figure. 10 ft A. 31.4 ft2 B. 314 ft2 18. Find the measure of the missing angle x and record your answer in the grid. x C. 78.5 ft2 D. 15.7 ft2 19. Which of the following is equivalent to 24,000 x 10,000? A. B. C. D. Name ________________ Date ________________ 2.4 x 105 2.4 x 106 2.4 x 107 2.4 x 108 65˚ 20. Meredith worked on some math problems at the library. She needed to select a statement that was true. Which of these statements should she have selected? A. B. C. D. 21. Mrs. Nevin is making a costume for a school play. She needs a piece of fabric that is greater than ½ of a yard 5 but less than 8 of a yard. Which length of fabric listed below could she use? A. 3 8 yard C. 3 7 yard B. 4 7 yard D. 2 4 yard 50 x 106 < 5 x 107 2 x 103 = 20,000 7.4 x 105 > 0.74 x 106 12,000,000 = 1.2 X 107 22. A toy box is 60 inches long, 24 inches wide, and 36 inches high. Which is the closest to the volume of the toy box? A. 10 ft2 B. 15 ft2 C. 25 ft2 D. 30 ft2 Weekly Homework Week Sept. 21st 8th Grade 8A 23. Graph the following inequality on the number line. 2x ≤ -12 5n + 3 D 3n + 5 27. Mrs. Soliz makes cupcakes for the local child day care center. She uses 2 ½ cups of flour to make 2 dozen cupcakes. How much flour will she use to make 3 dozen cupcakes? A. 3 cups 24. Solve the following equation and record your answer in the grid. 7x – 4 = 20 + 3x 25. Let n represent the position of a term in the sequence below. 8, 11, 14, 17, 20, 23, . . . Which algebraic expression can be used to find the nth term of the sequence? A 2n + 6 B 6n + 2 C Name ________________ Date ________________ C. 4 cups 26. Carrie has an average of 88 on 3 quiz grades. If Carrie wants to raise her quiz average to 90, which equation can be used to find n, the grade she needs to make on her fourth quiz? A. n = (90 – 88) ● 4 B. (3(88) + n) ÷ 4 = 90 C. n = ((88● 3) + 90) ÷ 4 D. (88 + 90) ● 3 = 4n 28. Ginger can type 80 words in 55 seconds. Which equation can be used to find w, the number of words Ginger can type at this rate in 115 seconds? A. w = 80(55) 115 115 B. 2 ¾ cups D. 3 ¾ cups B. w = 80(55) C. w = 80 55 55 (115) D. w = 80 (115) Weekly Homework Week Sept. 21st 8th Grade 8A Name ________________ Date ________________ 29. Frances wants to buy a leather jacket that costs $200, after the tax. She has $50 in her savings account and earns $7 an hour babysitting. Which equation below would she use to determine how many hours, h, she must babysit before she can buy the jacket? A. 50h + 7 = 200 B. 7h – 50 = 200 30. A section of Mr. Peña’s check register is shown below. Mr. Peña’s Register is below. What is the current balance in Mr. Peña’s checking account? A. $460.36 C. $459.02 C. 200 = 50 + 7h D. 200 = 50 - 7h Check Number Date B. Description $542.32 Payment D. $539.64 Deposit Balance $157.62 2622 4/1 Sports Academy $62.79 2623 4/1 Budget Dry Cleaners $21.73 2624 4/2 Allen’s Auto $81.19 4/4 Deposit 4/4 Pizza Hut 4/5 Interest 2625 $-8.09 $500.00 $32.89 $1.34