Basic Math I MAT 011 Final Exam Review

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1 Basic Math I MAT 011 Final Exam Review ) Estimate the sum by rounding to the nearest ten ) Estimate the product by rounding to the nearest hundred. 1 x 8 ) Divide. 90)80 ) Solve for z z ) Solve for w. 20 w. 6 6) Two ofthe world's longest rivers are the Nile, which is 100 miles long, and the Rio Grande, which is 1900 miles long. Find how much longer the Nile is than the Rio Grande. ) There are 2 members in a band and they are marching with 2 members in each row. How many rows are there? 8) A restaurant chain with 22 restaurants buys a new refrigerator for each store. Each refrigerator costs $99. Fid the total cost ofthe purchase. 9) Solve. A company has to ship 10 kg ofsand. If one bag can hold 19 kg ofsand, how many bags can the company fill in with sand? How many kilograms ofsand will be left over? 10) A loan of$8,8 will be paid off in 8 monthly payments. How much is each payment? 1

2 11) Solve. A student bought coats at $69 each and paid for them with only $20 bills. How many bills did it take? 12) Simplify ) Simplify. 1) A certain recipe asks for Ys cup of granola. How much is needed to make Xof a recipe? 1) Simplify ) Multiply and simplify ) Multiply and simplify ) Solve. Ariel receives $ for working a full day doing inventory at a hardware store. How much can she get for working ofa day? 9 19) Divide and simplify ) Divide and simplify. ~ -:- 21) Solve for p. p ::= 8 2

3 22) A sporting goods manufacturer requires ~ yd offabric to make a pair ofsoccer shorts. 6 How many shorts can be made from 10 yd of fabric? 2) Add and simplify ) Add and simplify ) Ruwanda walked ~ 10 How far did Ruwanda walk? mi to Juan's dormitory, and then ~ mi to class. 26) Subtract and simplify ] 2) Solve. - + t = 2 28) Monica spent ~ hours listening to tapes ofbeethoven and Brahms. She spent 1 hours listening Beethoven. How many hours were spent listening to Brahms? 29) Divide. Write a mixed numeral for the answer. )99 0) Add. Write the answer as a mixed numeral. + 6~ ) Add

4 2) Subtract. 9~ - ~ ) Subtract. Write a mixed numeral for the answer ) Subtract. Write a mixed numeral for the answer _ ) Multiply ) Multiply ) Divide. Write a mixed numeral for the answer. 12 -;- I_I 1 8) Divide. ~ 1~ 6 9) Janet wants to make a new outfit. Using inch fabric, she needs 1 yd for the dress, 8 ~ yd ofcontrasting fabric for the trim, and ~ yd for the jacket. Determine how many yards of inch fabric she needs to make the outfit. 0) Round to the nearest tenth..89 1) Round 0.11 to the nearest hundredth.

5 2) Round 62.8 to the nearest one. ) Add ) Solve. t + 2. = ) Divide. 8}S- 6) Solve..1. q.8 ) Find decimal notation ) Find decimal notation. 1 9) Round 0.29 to the nearest tenth, hundredth, and thousandth. 0) Calculate. 1 x ) A consumer bought a CD for $18.2 and paid with a $20 bill How much change was there? 2) Solve. A realtor paid $18,89.22 for.8 acres ofland. What was the cost per acre? Round to the nearest cent. ) A business woman has $1820. in her checking account. She writes checks of$2., $2.1, and $89.6 to pay some bills. She then deposits a bonus check of $91.8. How much is in her account after these changes?

6 ) Solve. A student worked hr. during a week one summer. The student earned $.20 per hour for the first 0 hr. and $.80 per hour for overtime. How much did the student earn during the week? ) Simplify the ratio. 1 to 22 6) Find the rate as a ratio ofdistance to time. yd, day ) A passenger car will go 0 miles on 18. gallons of gasoline in city driving. What is the rate in miles per gallon? 8) Which has the lower unit price? Grapefruit Juice: Brand A: $.2 for 6 oz Brand B: $2. for 8 oz 9) Solve for m. 12 m = ) Solve for x. x 1 = ) A car travels 691 km in 11 days. At this rate, how far would it travel in days? 62) Suppose coffee beans from 1 trees are required to produce 1 Ib ofcoffee, the amount each person in the United States drinks each year. How many trees are required to produce 11b ofcoffee? (Round to the nearest whole number.) 6) In a metal alloy, the ratio ofzinc to copper is to 19. If there are 1lb ofcopper, how much zinc is there? 6) Find decimal notation. 2.9% 6) Find decimal notation. 0.% 6

7 66) Find percent notation for ) Find percent notation. 68) Find percent notation. 8 69).% of 0 is what? 0) A family has a monthly income of $00 and plans to spend 10% ofthis amount on entertainment. How much will be spent on entertainment? 1) Ofthe 860 hours in a year, one television was on for 2628 hours. What percent is this? 2) The amount in a savings account increased from $200 to $210. What was the percent of increase? ) During a sale, a dress decreased in price from$60 to $. What was the percent of decrease? ) A person earns $22,000 one year and gets a % raise in salary. What is the new salary? ) Diners frequently add a 1% tip when charging a meal to a credit card. What is the total amount charged ifthe cost of the meal, without tip, is $? 6) The sales tax rate in a city is 8.8%. Find the tax charged on a purchase of $20. Round to the nearest cent. ) The sales tax is $2 on the purchase ofa dining room set for $100. Find the sales tax rate. 8) The sales tax on a purchase is $16.00, and the sales tax rate is.9%. Find the purchase price. Round to the nearest dollar.

8 9) A salesperson's commission rate is 6%. What is the commission from the sale of $6,000 worth offurnaces? 80) A salesperson earns $110 commission selling $2,200 worth oftelevision sets. What is the commission rate? 81) Find the missing values. Marked Rate of Price Discount $ % Discount Sale Price 82) Find the missing values. ~ ~------~ arked Rate of Discount 20% Discount $21.0 8) Find the simple interest. Principal Rate Time $100 11% I year 8) Find the simple interest. Principal $00 Rate Time 6.% li year 8) Find the perimeter ofthe rectangle which is 1 06(,-_X_9_6_ft_. -'1,6 ft 106ft 86) A piece of flooring tile is a square 26.2 em on a side. What is the perimeter? 26.2 em 26.2 em 8

9 8) Find the area of a rectangle that is 9km by km. Skm 9km 1 88) Find the area ofa 10 _1 yd square. 10- yd yd 2 89) Find the area. : 12 in I I I 20in 90) 8ft Find the area. '-/ ----'~_2.J...2ft_\_--> 1 ft 91) Find the length ofthe diameter, the circumference, and the area ofthe circle. 22 Use Jr = 16cm 92) A trampoline has a diameter of What is the area? Use.1 for Jr 10ft 9

10 9) Find the volume ofthe figure on the right. 1 em em 9) Find the volume ofthe circular cylinder on the right Use.1 for r. in ~ ~ 9) Find the volume ofthe sphere on the right. Use.1 for r. 60 in

11 Basic Math / MAT 011 Final Exam Review Answers 1) 180 2) 80,000 ) R 0 ) ) 6) 2200 ) 1 8) 1,18 9) 9 10) 18 11) 1 12) 1) 1) 1) ) 1 1) ) 20

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14 1) 1. 2) 0.88 ) ) ) yd/day 11 6) 10 ) 22 mi/gal 8) Brand B 9) 2 60) ) 20 62) 06 6) 11 6) ) ).2% 6).00% 68) 62.% 69) 1. 0) 0 1) 0% 2) % ) 2% ) 2,100

15 ) 1. 6) 1.9 ) % 8) 2 9) ) % 81) ) ) 11 8) 1.0 8) 0 86) 10 8) 88) ) ) 21 91) diameter 2 eireumferenee area - 92) 8. 9) 10 9) 2. 9) 9020

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