MAT106 Checkpoint Template - JustAnswer
|Problem No. |Your Solution |Final Answer (Restate |
| | |your Answer Here) |
|1 |Write the number in expanded form. | |
| | | |
| |974 |(9*100) + (7*10) + |
| | |(4*1) |
| |Your Solution | |
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| |The numbers are 9, 7, and 4, in the 100, 10, and 1’s place: | |
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| |(9*100) + (7*10) + (4*1) | |
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|2 |Write the word name for the following. | |
| | |Six hundred eighteen |
| |618,500 |thousand five hundred |
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| |Your Solution | |
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| |Six hundred eighteen thousand five hundred | |
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|3 |Write the following in the standard form of a number. | |
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| |Six hundred and one million, twenty-five thousand |601,025,000 |
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| |Your Solution | |
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| |601,025,000 | |
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|4 |Perform the indicated operation: The sum of 50,421 and 44,202. | |
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| |Your Solution | |
| | |94623 |
| |50421 | |
| |+44202 | |
| |94623 | |
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|5 |Do the indicated subtraction: The 55,000 less 13,837 | |
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| |Your Solution |41163 |
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| |49910 | |
| |55000 | |
| |- 13837 | |
| |41163 | |
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|6 |A college basketball team scored 67, 75, and 69 points in three games. If its opponents scored 82, 62, | |
| |and 55 points, by how much did the team outscore its opponents? | |
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| |Your Solution | |
| | |12 points |
| |67+75+69 = 211 | |
| |82+62+55 = 199 | |
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| |211-199 = 12 points | |
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|7 |Use the symbol < or > to complete the statement. | |
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| |200 _______ 100 |200 > 100 |
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| |Your Solution | |
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| |200 is greater: | |
| |200 > 100 | |
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|8 |What is the product of 52 and 491? | |
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| |Your Solution | |
| | |25532 |
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| |52(491) = 25532 | |
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|9 |A computer printer can print 16 pages per minute. How many pages can be printed in 1 hour (h)? | |
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| |Your Solution | |
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| |60 minutes in an hour: |960 pages |
| |60 times 16 | |
| |= 960 pages | |
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|10 |Find 72 ÷ 9 by "repeated subtraction". | |
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| |Your Solution | |
| | |8 |
| |72-9=63 | |
| |63-9=54 | |
| |54-9=45 | |
| |45-9=36 | |
| |36-9=27 | |
| |27-9=18 | |
| |18-9=9 | |
| |9-9=9 | |
| |That’s 8 subtractions | |
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|11 |Evaluate. | |
| | |4 |
| |(8 - 6)5 - 28 | |
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| |Your Solution | |
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| |Parens first: | |
| |(2)^5 – 28 | |
| |32 – 28 | |
| |= 4 | |
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|12 |You are making posters 3 ft by 6 ft. How many square feet of material will you need for nine posters? | |
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| |Your Solution | |
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| |Get one poster’s area: | |
| |LW |162 sq ft |
| |= 3 ft * 6 ft | |
| |= 18 ft^2 | |
| |Multiply by 9: | |
| |18 * 9 | |
| |= 162 sq ft | |
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|1\3 |List the factors of the number 21. | |
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| |Your Solution |1, 3, 7, 21 |
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| |21 = 3 times 7 | |
| |21 = 1 times 21 | |
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| |1, 3, 7, 21 | |
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|14 |Find the prime factorization of the number 75. | |
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| |Your Solution | |
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| | |3, 5, 5 |
| |75 = 25*3 | |
| |25 = 5*5 | |
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| |The factors are: 3, 5, 5 | |
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|15 |A used-car dealer sold 13 of the 52 cars in stock. What fraction names the portion sold? What fraction | |
| |names the portion not sold. (Reduce fractions.) |Sold = ¼ |
| | |Not sold = 3/4 |
| |Your Solution | |
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| |Sold is 13/52 = ¼ (dividing the top and bottom by 4) | |
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| |Subtract that from 1 to get not sold: | |
| |1-13/52 | |
| |52/52-13/52 | |
| |52-13 = 39 | |
| |39/52 = 3/4 | |
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|16 |Are [pic] and [pic] "equivalent fractions"? | |
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| |Your Solution | |
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| |Cross multiply: | |
| |6*51 = 306 | |
| |18*17 = 306 |Yes |
| |They are the same. | |
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|17 |Multiply [pic] Write your answer in simplest form. | |
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| |Your Solution |240/77 |
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| |30/7 * 8/11 | |
| |= (30*8)/(7*11) | |
| |= 240/77 | |
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|18 |The gas tank in Giorgio's car holds 16 gal when full. The car gets 28 mi/gal. How far can he travel on 4| |
| |full tanks? | |
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| |Your Solution |1792 miles |
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| |16 gal/tank * 28 miles / gal * 4 tanks | |
| |= 16 * 28 * 4 miles | |
| |= 1792 miles | |
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|19 |Find the reciprocal of [pic] and simplify. | |
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| |Your Solution | |
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| |Flip it: | |
| |20/17 |20/17 |
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|20 |Subtract. Write the answer in lowest terms. | |
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| |[pic] | |
| | |10/13 |
| |Your Solution | |
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| |Subtract numerators: | |
| |12-2 = 10 | |
| |10/13 | |
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|21 |Find the least common multiple of 6 and 11. | |
| | |66 |
| |Your Solution | |
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| |Factors: | |
| |6 = 2*3 | |
| |11 | |
| |Multiply: | |
| |2*3*11 = 66 | |
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|22 |Complete the statement, using the symbol < or >. | |
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| |[pic] |4/7 < 5/8 |
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| |Your Solution | |
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| |4/7 = 32/56 | |
| |5/8 = 35/56 | |
| |5/8 is larger | |
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|23 |Add. Express in simplest form. | |
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| |[pic] |25/18 |
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| |Your Solution | |
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| |2/3 = 12/18 | |
| |1/6 = 3/18 | |
| |5/9 = 10/18 | |
| |(12+3+10)/18 | |
| |= 25/18 | |
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|24 |Add. Express in simplest form. | |
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| |[pic] | |
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| |Your Solution | |
| | |77/5 |
| |28/5 + 49/5 | |
| |= (28+49)/5 | |
| |= 77/5 | |
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|25 |Subtract. Express in simplest form. | |
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| |[pic] |2 3/8 |
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| |Your Solution | |
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| |9 = 8 + 8/8 | |
| |8+8/8 – 6 5/8 | |
| |= 2 3/8 | |
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|26 |Estimate the following sum. You must estimate your answer in order to earn credit. | |
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| |[pic] | |
| | |13 |
| |Your Solution | |
| | | |
| |= about 5 + 4 + 1 + 3 | |
| |= about 9 + 1 + 3 | |
| |= about 10 + 3 | |
| |= about 13 | |
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|27 |For the decimal 3.48907 | |
| | |Hundred thousandths |
| |What is the place value of 4? | |
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| |Your Solution | |
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| |It’s the fifth number after the decimal. | |
| |Hundred thousandths | |
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|28 |Round to the "tenth" decimal place. | |
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| |9.722 | |
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| |Your Solution |9.7 |
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| |The tenth place is 7, so: | |
| |9.7 | |
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|29 |On a 3-day trip, Sunny bought 15.9, 12.2, and 11.9 gallons (gal) of gas. How many gallons did she buy? | |
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| |Your Solution | |
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| |15.9 |40 gallons |
| |12.2 | |
| |+11.9 | |
| |_____ | |
| |40.0 | |
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|30 |Paula's car payment is $342.37 per month for 3 years. How much will she pay altogether? | |
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| |Your Solution | |
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| |3 years = 12 months * 3 = 36 months |$12325.32 |
| |Multiply: | |
| |342.37*36 | |
| |= $12325.32 | |
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|31 |Find the area of the figure. Use 3.14 for pi (π) and round your answer to one decimal place. | |
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| |[pic] | |
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| |Your Solution | |
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| |A = pi * r^2 |63.6 sq yd |
| |A = pi * (d/2)^2 | |
| |A = 3.14 * (9/2)^2 | |
| |A = 63.585 sq yd | |
| |Rounds to: | |
| |A = 63.6 sq yd | |
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|32 |A block of cheese weighing 2.6 pounds (lb) sold for $15.55. Find the cost per pound to the nearest | |
| |cent. | |
| | |$5.98 per pound |
| |Your Solution | |
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| |Divide: | |
| |$15.55/2.6 = $5.98 | |
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|33 |Find the decimal equivalent of the mixed number. | |
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| |[pic] | |
| | |2.6 |
| |Your Solution | |
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| |2 + 3/5 | |
| |= 2 + 0.6 | |
| |= 2.6 | |
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|34 |Write the following as a common fraction or mixed number. Write your answer in simplest terms. | |
| | |37/50 |
| |0.74 | |
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| |Your Solution | |
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| |= 74/100 | |
| |Divide the top and bottom by 2: | |
| |= 37/50 | |
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|35 |A restaurant has 17 booths and 20 tables. Write the ratio of booths to tables as a fraction. | |
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| |Your Solution |17/20 |
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| |17 to 20 | |
| |17/20 | |
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|36 |Michelle reads 1,200 words in 7 minutes, and Samantha reads 525 words in 2 minutes. Who is the faster | |
| |reader? Need to show your work in order to earn credit. | |
| | |Samantha |
| |Your Solution | |
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| |Michelle: 1200 divided by 7 = about 171.4 | |
| |Samantha: 525 divided by 2 = 262.5 | |
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|37 |Determine whether the pair of fractions is proportional: [pic] | |
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| |Your Solution | |
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| |Cross multiply: |Yes |
| |2*15 = 30 | |
| |6*5 = 30 | |
| |They are the same | |
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|38 |Solve for the unknown: [pic] | |
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| |Your Solution | |
| | |m = 6 |
| |Cross multiply: | |
| |52m = 8*39 | |
| |Divide by 52: | |
| |m = 8*39/52 | |
| |m = 6 | |
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|39 |A basketball player scored a total of 81 points in the first three games of the season. If he continues | |
| |at the same pace, how many points should he score in the 24-game season? | |
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| |Your Solution |648 points |
| |Proportion: | |
| |81/3 = x/24 | |
| |Cross multiply: | |
| |3x = 81*24 | |
| |Divide by 3: | |
| |x = 81*24/3 | |
| |x = 648 | |
|40 |Write 50% as a fraction or a mixed number. | |
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| |Your Solution | |
| | |1/2 |
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| |50% = 0.5 = 5/10 = 1/2 | |
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|41 |Write 7.4 as a percent. | |
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| |Your Solution | |
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| | |740% |
| |Multiply by 100%: | |
| |740% | |
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|42 |What is 80% of 480? | |
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| |Your Solution | |
| | |384 |
| |80% = 0.8 | |
| |Multiply: | |
| |0.8*480 | |
| |= 384 | |
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|43 |Estimate 47.8% of 2,500. | |
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| |Your Solution | |
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| |47.8% is about 50% (half) |1250 |
| |Half of 2500 is 1250 | |
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|44 |John's height increased from 5'2" to 5'7" during the past year. What is the rate of increase (to the | |
| |nearest whole percent) of John's height over the past year? | |
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| |Your Solution | |
| | |10% |
| |The difference is 6 inches. | |
| |The original height was 5*12+2 = 62 inches | |
| |6/62 | |
| |= 0.09677 | |
| |Rounds to: | |
| |10% | |
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|45 |Complete the following statement. | |
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| |7 lb = ________ oz | |
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| |Your Solution |112 oz |
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| |16 oz per pound: | |
| |7*16 = 112 oz | |
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|46 |Complete the statement. | |
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| |11 L = ________ mL | |
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| |Your Solution | |
| | |11000 mL |
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| |1 L = 1000 mL | |
| |11 L = 11000 mL | |
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|47 |Complete the statement. (Round to the nearest hundredth.) | |
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| |2 lb = ________ g | |
| | |907.18 g |
| |Your Solution | |
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| |1 pound = 453.59237 grams | |
| |Multiply by 2: | |
| |907.18474 | |
| |Rounds to: | |
| |907.18 g | |
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|48 |Identify the angle as acute, right, obtuse, or straight. | |
| | |straight |
| |[pic] | |
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| |Your Solution | |
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| |Straight – it’s a straight line | |
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|49 |Find the measure of the missing angle. | |
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| |[pic] | |
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| |Your Solution | |
| | |29 degrees |
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| |Angles add to 180: | |
| |180-45-106 | |
| |= 29 | |
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|50 |Identify the hypotenuse of the triangle by giving its letter. | |
| | |r |
| |[pic] | |
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| |Your Solution | |
| |The longest side: r | |
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|51 |Find the mean of the following set of numbers. | |
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| |10, 12, 8, 12, 8 |10 |
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| |Your Solution | |
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| |Mean = sum/5 | |
| |= (10+12+8+12+8)/5 | |
| |= 10 | |
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|52 |Find the median of the following set of numbers. | |
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| |22, 23, 30, 34, 35, 37 | |
| | |32 |
| |Your Solution | |
| |The average of the two middle numbers: | |
| |(30+34)/2 | |
| |= 32 | |
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|53 |Find the mode of the following set of numbers. | |
| | |No mode |
| |19, 4, 25, 26, 3, 14, 10 | |
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| |Your Solution | |
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| |The most common number – but there isn’t a most common | |
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|54 |Which of the following numbers are integers? | |
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| |[pic] | |
| |Your Solution |96, -380 |
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| |The “whole” numbers: | |
| |96, -380 | |
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|55 |Calculate the following: | |
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| |-59 - 85 |-144 |
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| |Your Solution | |
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| |-59 | |
| |-85 | |
| |----- | |
| |-144 | |
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|56 |Divide [pic] | |
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| |Your Solution |-2 |
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| |= -(12/6) | |
| |= -2 | |
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|57 |Perform the indicated operation. | |
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| |[pic] | |
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| |Your Solution | |
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| |The numerator = 12-16 = -4 |undefined |
| |Denominator = 12-12 = 0 | |
| |The denominator is 0, so this is undefined | |
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END OF TEST
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