MTH208 – Quiz 3



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 |Appropriate Steps Shown? |Credit Earned per Problem |

|Solution? | | |

|Y |Y |Full Credit |

|Y |N |Partial Credit |

|N |Y |Partial Credit |

| N |N |No Credit |

| | |Grading - |

| | |Comments |

| | | |

| |Write the number in scientific notation. | |

| | | |

| |5, 961,000,000 | |

| | | |

| |Answer: 5.961 x 109 | |

| | | |

| |Write the fraction as a terminating decimal. | |

| | | |

| |[pic] | |

| |Answer: 0.9375 | |

| | | |

| |Arrange the fractions in ascending order. Or, if the fractions are equivalent, answer "Equivalent". | |

| |[pic] | |

| |Answer: -12/17, -1/2 | |

| | | |

| |Write the number in scientific notation. | |

| | | |

| |0.000 209 | |

| |Answer: 2.09x 10-4 | |

| | | |

| |Add. | |

| | | |

| |[pic]= 65/70 + 56/70=121/70 | |

| | | |

| |Answer: 121/70 | |

| | | |

| |Complete the table so that the ratios [pic] will all be equivalent to [pic] (some values may not be whole | |

| |numbers). Express your answers as integers or decimals rounded to one decimal place. | |

| | | |

| |x | |

| |3 | |

| |9 | |

| |10.5 | |

| |15 | |

| |1.5 | |

| |13.5 | |

| | | |

| |y | |

| |8 | |

| |24 | |

| |28 | |

| |40 | |

| |4 | |

| |36 | |

| | | |

| | | |

| | | |

| |Which is the best investment for three consecutive years? | |

| | | |

| |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. | |

| | | |

| |1.05*1.1*1.15=1.32825 | |

| |1.15*1.1*1.05=1.32825 | |

| |1.13=1.331 | |

| | | |

| |Answer: c | |

| | | |

| |Solve the proportion. | |

| | | |

| |[pic] | |

| |Answer: r=17/2=8.5 | |

| | | |

| |Perform the indicated operation. | |

| | | |

| |[pic]=(14+2+20)+(4+5+1)/7=36+10/7=36+1+3/7 | |

| |Answer: [pic] | |

| | | |

| |Solve the proportion. | |

| | | |

| |[pic]then: 5(x+8)=9x then 5x+40=9x | |

| |then: 4x=40 then: x=40/4=10 | |

| | | |

| |Answer: x=10 | |

| | | |

| |Write the numbers in order of increasing size. | |

| | | |

| |[pic] | |

| |Answer: [pic] | |

| |Real World Applications | |

| | | |

| |Solve the problem. | |

| | | |

| |A land developer wants to develop 20 acres of land. Each lot in the development is to be [pic] of an acre.| |

| |How many lots will the land 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. | |

| | | |

| |The Perrones have saved $20,000 for a down payment. If an 18% down payment is required, what price house | |

| |can they buy? | |

| | | |

| |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. | |

| | | |

| |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 [pic] dollars per share. How much 128 will shares cost? | |

| | | |

| |128*(10 ¼)=1280+32=1312 | |

| | | |

| |Answer: 1312 dollars | |

| | | |

| | | |

| |Solve the problem. | |

| | | |

| |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. | |

| | | |

| |Annie must send two packages. One of the packages weighs [pic]lb and the other weighs [pic] lb What is the| |

| |total weight of the two packages? | |

| | | |

| |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[pic] 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 [pic] foot square tiles along a [pic] foot wall. How | |

| |many tiles will be needed along the wall? | |

| | | |

| |(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 [pic] hours at her part-time job this week. She has already worked [pic] hours. | |

| |How many more hours does she need to work? | |

| | | |

| |(15 ½)-(8 ¾)= 15-8+1/2-3/4=7-1/4=6 ¾ | |

| | | |

| | | |

| |Answer: 6 ¾ hours | |

| | | |

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