MTH011A |Math Foundations II | Unit 4 Answer Key| Numbers and Properties Name: Date: Answer Key Unit 4 Assignment Award points for answers as shown below. Starter feedback for correct and incorrect answers is in red. Use or adapt the feedback in this Answer Key as you grade each student paper. If you have suggestions for improving this key, send them to curriculum_support@k12.com. (1 point) 1. Use order of operations and the mathematical properties of numbers to simplify these numbers. 63 7 2 5 Answer: -1 (1 point) 2. Use order of operations and the mathematical properties of numbers to simplify these numbers. 8 −[(8 − 5) x 2] = Answer: 2 (1 point) 3. Which property is illustrated in this problem? 2 x (8 x 5) = (2 x 8) x 5 Answer: associative property of multiplication (1 point) 4. Solve using the distributive property. 8(5 + 7) = Answer: 96 (1 point) 5. 53.26 + .703 + 2.8 = Answer: 56.763 (1 point) 6. .016 .02 Answer: 0.8 © 2012 K12 Inc. All rights reserved. Copying or distributing without K12’s written consent is prohibited. Page 1 of 7 MTH011A |Math Foundations II | Unit 4 Answer Key| Numbers and Properties (1 point) 7. According to a 1995 projection, there will be 192.1 million males and 199.9 million females in the United States in the year 2050. What will be the total population of the United States in the year 2050? Answer: 392 million (1 point) 8. Wallpaper for a bedroom costs $18 per roll for the walls and $11 per roll for the border. If the room requires 14 rolls of paper for the walls and 8 rolls for the border, find the total cost for the decorating job. Answer: $340 (1 point) 9. During a two week period, Luke worked 85.6 hours. His hourly wage is $6.92. How much did he earn? Answer: $592.35 (1 point) 10. This number is divisible by which number? 27,303 3 8 2 6 Answer: 3 (1 point) 11. Is 35 a prime or composite number? Answer: composite (1 point) 12. What is the LCM of the numbers 5 and 6? Answer: 30 (1 point) 13. Erin earned $25 last week for 5 hours of baby-sitting. This week she earned $40 for 8 hours of babysitting. What was her hourly rate in whole dollars? Answer: $5 © 2012 K12 Inc. All rights reserved. Copying or distributing without K12’s written consent is prohibited. Page 2 of 7 MTH011A |Math Foundations II | Unit 4 Answer Key| Numbers and Properties (1 point) 14. Shady Grove Middle School is having an outdoor activity day. Each grade can have several teams, but the size of the team must be the same for each grade. There are 108 seventh graders and 102 eighth graders. How many students can be on each team? Answer: 6 students (1 point) 15. The high school Drama Club held a car wash on Saturday. They earned $344 in the 8 hours they worked. How much money did the Drama Club average each hour? Answer: $43 (1 point) 16. Sandwiches sell for $3.50 at Blake's shop. Soft drinks sell for $1.00 each. If Blake served 75 people during lunch rush, and each bought a sandwich and a soft drink, how much money did Blake earn? Answer: $337.50 (1 point) 17. Find the equivalent fraction. 9 3 21 Answer: 7 (1 point) 18. Reduce this fraction to lowest terms. 40 52 10 Answer: 13 (1 point) 19. Change this improper fraction to a mixed number. 34 9 7 Answer: 3 9 (1 point) 20. Solve this problem. Reduce to lowest terms. Answer: 7 2 12 5 59 60 © 2012 K12 Inc. All rights reserved. Copying or distributing without K12’s written consent is prohibited. Page 3 of 7 MTH011A |Math Foundations II | Unit 4 Answer Key| Numbers and Properties (1 point) 21. Solve this problem. Reduce to lowest terms. 7 3 1 8 3 17 Answer: 7 24 (1 point) 2 22. Solve this problem. Reduce to lowest terms. 1 6 3 Answer: 10 (1 point) 23. Solve this problem. Reduce to lowest terms. 2 1 3 1 3 8 23 Answer: 1 33 (1 point) 24. Kelly called six friends and each call was 8 1 minutes long. How long was Kelly on the phone talking to 2 her friends? Answer: 51 minutes (1 point) 25. How many cupcakes are in 4 1 dozen cupcakes? 2 Answer: 54 cupcakes (1 point) 26. Which fraction is equivalent to 4 ? 5 8 10 6 12 7 8 8 Answer: 10 © 2012 K12 Inc. All rights reserved. Copying or distributing without K12’s written consent is prohibited. Page 4 of 7 MTH011A |Math Foundations II | Unit 4 Answer Key| Numbers and Properties (1 point) 27. Find the unit rate of 1400 words per 20 minutes. Answer: 70 words per minute (1 point) 28. The Downtown Market sells napkins at $2.29 for 300 and cups at $1.75 per 50. At Super Save, the same napkins cost $1.49 for 200, and cups are $.89 for 25. Which store has the better buy for napkins? Answer: Super Save (1 point) 29. Sam's car traveled 120 miles on 9 gallons of gasoline. Which fraction expresses the ratio of miles to gallons? 3 9 3 40 40 3 40 Answer: 3 (1 point) 30. A 4.3 ounce tomato has about 24 Calories. How many Calories are in one ounce? Round your answer to the nearest tenth. Answer: 5.6 (1 point) 31. The Student Council sold slices of pizza at lunch. A large pizza has 8 pieces. If the pizza costs $9.36 with tax, how much did each piece cost the Student Council? Answer: $1.17 (1 point) 32. What term defines the number of possible outcomes? ratio sample outcome probability © 2012 K12 Inc. All rights reserved. Copying or distributing without K12’s written consent is prohibited. Page 5 of 7 MTH011A |Math Foundations II | Unit 4 Answer Key| Numbers and Properties Answer: sample (1 point) 33. All eleven letters in the word GRASSHOPPER are put in a box. What is the probability of drawing an R from the box? 3 of 11 9 of 11 2 of 11 Answer: 2 of 11 (1 point) 34. If a quarter is tossed in the air, what is the probability it will land on tails? 1 2 1 4 1 3 1 Answer: 2 (1 point) 35. The weather report predicts a 75% chance of rain. How would this probability be written in fraction form? 1 2 3 4 2 3 3 Answer: 4 (1 point) 36. 12% of 50 is what number? Answer: 6 © 2012 K12 Inc. All rights reserved. Copying or distributing without K12’s written consent is prohibited. Page 6 of 7 MTH011A |Math Foundations II | Unit 4 Answer Key| Numbers and Properties (1 point) 37. Austin had a batting average of .344. How would this number be written as a percent? Answer: 34.4% (1 point) 38. If 64 increased by 25%, what number is the result? Answer: 80 (1 point) 39. Music City is having a sale on compact discs. The regular price of $14.00 is decreased by 20%. What is the sale price? Answer: $11.20 (1 point) 40. Kaitlin bought $34.40 worth of compact discs. The sales tax is 6.5%. What was the total cost rounded to the nearest cent? Answer: $36.64 Your Score © 2012 K12 Inc. All rights reserved. Copying or distributing without K12’s written consent is prohibited. ___ of 40 Page 7 of 7