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
Name Date MTH156 Test 4 Chapter 6&7 20 problems – 5 points each 100 points possible Solve all problems and attach your solutions document in your Individual Forum (IF). Remember to show all steps and check your work carefully. Correct Solution? Y Y N N Appropriate Steps Shown? Y N Y N Credit Earned per Problem Full Credit Partial Credit Partial Credit No Credit Grading Comments Write the number in scientific notation. 1. 5, 961,000,000 Answer: 5.961 x 109 Write the fraction as a terminating decimal. 2. Answer: 0.9375 3. 4. Arrange the fractions in ascending order. Or, if the fractions are equivalent, answer "Equivalent". 1 12 , 2 17 Answer: -12/17, -1/2 Write the number in scientific notation. V. Smith MTH156 Test 4 Page 1 of 6 0.000 209 Answer: 2.09x 10-4 Add. 5. 13 4 = 65/70 + 56/70=121/70 14 5 Answer: 121/70 6. Complete the table so that the ratios will all be equivalent to (some values may not be whole numbers). Express your answers as integers or decimals rounded to one decimal place. x y 3 8 9 24 10.5 28 15 40 1.5 4 13.5 36 Which is the best investment for three consecutive years? 7. a. A growth of 5% followed by a growth of 10% followed by a growth of 15% b. A growth of 15% followed by a growth of 10% followed by a growth of 5% c. Three years of growth at 10% per year. a) 1.05*1.1*1.15=1.32825 b) 1.15*1.1*1.05=1.32825 c) 1.13=1.331 Answer: c Solve the proportion. 8. 1 r 2 17 Answer: r=17/2=8.5 9. V. Smith MTH156 Test 4 Page 2 of 6 Perform the indicated operation. 4 5 1 14 2 20 =(14+2+20)+(4+5+1)/7=36+10/7=36+1+3/7 7 7 7 3 Answer: 37 7 Solve the proportion. 5 9 then: 5(x+8)=9x then 5x+40=9x 10. x x8 then: 4x=40 then: x=40/4=10 Answer: x=10 Write the numbers in order of increasing size. 5 4 11. 2.25, 2 , 2.52, 2 8 9 4 5 Answer: 2.25, 2 , 2.52, 2 9 8 Real World Applications Solve the problem. A land developer wants to develop 20 acres of land. Each lot in the 4 development is to be of an acre. How many lots will the land 5 12. developer have in the 20 acres? 20/(4/5)=20*5/4=25 Answer: 25 lots Solve the problem. If the answer is an amount of money, round to the nearest dollar. 13. The Perrones have saved $20,000 for a down payment. If an 18% down payment is required, what price house can they buy? V. Smith MTH156 Test 4 Page 3 of 6 Let x the price of the house then: 0.18x=20,000 Then: x=20,000/0.18=111,111.11 Answer: $111,111 Use a proportion to solve the problem. Round answers to the nearest tenth if necessary. 14. The 18th hole at the Riverwoods Golf Course is 441 yards long. How long would it be on a model with a scale of 2.5 inches to 100 yards? 100/2.5=441/x then: 100x=2.5*441=1,102.5 100x=1,102.5 x=1,102.5/100=11.025 Answer: 11.0 inches Solve the problem. A small company sells stock for 10 1 dollars per share. How much 128 4 15. will shares cost? 128*(10 ¼)=1280+32=1312 Answer: 1312 dollars Solve the problem. 16. May planted 156 tulip bulbs in 6 hours and June planted 120 in 5 hours. Compare the ratios. Which person planted the most per hour? How many per hour? 156/6 =26 120/5=24 First ratio =26>24= second ratio June planted the most per hour (26 per hour) Solve the problem. 17. 1 Annie must send two packages. One of the packages weighs 11 lb and 8 V. Smith MTH156 Test 4 Page 4 of 6 the other weighs 9 1 lb What is the total weight of the two packages? 5 11 1/8+ 9 1/5 = 11+9+1/8+1/5=20+5/40+8/40=20+13/40 Answer: 20 13/40 lb Solve the problem. On a certain map, 1 inch equals 32 miles. How many miles are in 2 1 4 18. inches? 32/1 = x/(2+ ¼) x=32(2+1/4)=32(9/4)=72 Answer: 72 miles Solve the problem. The floor of a rectangular room is to be tiled with along a 10 19. 1 foot square tiles 3 5 foot wall. How many tiles will be needed along the wall? 8 (10 5/8)/(1/3)= 3(10+5/8)=30+15/8 = 31+7/8 Answer: We need 32 tiles Solve the problem. June wants to work for 15 20. has already worked 8 1 hours at her part-time job this week. She 2 3 hours. How many more hours does she need to 4 work? (15 ½)-(8 ¾)= 15-8+1/2-3/4=7-1/4=6 ¾ V. Smith MTH156 Test 4 Page 5 of 6 Answer: 6 ¾ hours V. Smith MTH156 Test 4 Page 6 of 6