Math 110 Sample Final. 8) x = x 4

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1 Math 0 Sample Final Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve. ) Find the area.. miles.3 miles A) sq mi B). sq mi C). sq mi 0. sq mi ) In a particular cit, of the residents 00 subscribe to the local newspaper. Write a percent. A) 0.00% B) 0.000% C) 0.0% 0.% 00 as 7) Find the eact circumference of the circle. Then use the approimation 3. for π and approimate the circumference. ) On a recent trip, Asha drove miles on gallons of gasoline. How man miles would we epect the car to travel on gallon of gas? 7 A) mi B) mi C)7 mi 3777 mi 3) 9 - = miles A) π mi,. mi B) 9π mi, 3. mi C)π mi, 3.9 mi 7π mi,.9 mi A) B) - ) + = C)0 - A) - B) - 0 ) To determine the tip on a restaurant bill, a patron rounds his bill to the nearest dollar and then calculates 0% of that dollar amount. If the bill came to $39.0, determine the tip that he left. A) $7.0 B) $.00 C) $7.70 $7.90 ) In small firms in a certain countr, 7.% of full-time emploees receive medical insurance benefits. Write 7.% as a fraction. A) B) 3 0 C) 0 0 C) - 3 9) A countr reports total eports of $7,7 million last ear. Write this number using standard notation. A) $7,7 B) $7,7,000,000 C) $7,7,000,000,000 $7,7,000 0) 0.% of what number is 7.? A) 00 B) 300 C)70 0

2 ) The difference of four times a number and seven times the same number is 9. Find the number. A) 3 B) C) -3 - ) A nail 3 inches long is driven into a board inches thick. How much of the nail protrudes from the other side of the board? A) 9 in. B) 9 in. C) 0 in. 0 in. 3) Nick is going to put insecticide on his lawn to control grubworms. The lawn is a rectangle that measures.9 feet b feet. The amount of insecticide required is 0.0 ounces per square foot. a) Find the area of the lawn. b) Find how much insecticide Nick needs to purchase. A) a) 0,739. sq ft B) a). sq ft b).37 oz b) oz C)a). sq ft b),030 oz a) 0,739. sq ft b) 3,0 oz ) The sales ta on the purchase of a car is $ 39.. If the ta rate is.3%, find the purchase price of the car. A) $3,9.0 B) $3, C) $7,9. $,0,9. ) The standard dose of medicine for a dog is grams for ever pounds of bod weight. What is the standard dose for a dog that weighs 9 pounds? A) 3 g B) 3 3 g C)3 g 3 g 3 ) Given that the triangles above are similar, find the unknown length n. n. A) 0. B) C)0. 7) Approimate to the nearest thousandth of a centimeter, if necessar, the length of the missing side of a right triangle with legs of 9 cm and 3 cm. A) 9.7 cm B) 7 cm C).99 cm.0 cm ) A rectangular room measures 0 ft b 9 ft. Find the cost of installing a wallpaper border around the room if the border costs $0. per foot. A) $. B) $7.0 C) $3.3 $7.0 9) Corrin borrows $300 and agrees to pa it back in ears. If the simple interest rate is 3%, find the total amount she pas back. A) $0 B) $ C) $ $0,00 0) A high school graduating class is made up of 0 students. There are more bos than girls. How man girls are in the class? A) 37 girls B) 0 girls C)03 girls girls ) Jackie and her friend Warren ran for an open position on the board of directors of their favorite organization. Jackie received twice the votes that Warren received. There were 0 ballots cast. How man votes did Jackie receive? A) votes B) 0 votes C)7 votes 0 votes ) Find the perimeter of a square picture frame with a side length of 3.9 inches. A) 93. in. B) 7. in. C). in..7 in.

3 3) is what percent of 73? A) % B) 0% C) 0% 0% ) A motorccle can be driven 00 miles in 3 hours, how long will it take to travel 0 miles? A) hours B) hours C) hours 33 hours ) What number is 7% of 0? A) 9 B) 900 C)9. 90 ) On an architect's blueprint, inch corresponds to feet. If an eterior wall is 0 feet long, find how long the blueprint measurement should be. A) 0 in. B) in. C) in. in. Translate the sentence into an equation. If needed, use to represent "a number." 7) The sum of twice and - is -. A) + (-) = - B) = C) + (-) = - - (-) = - ) Five added to three times a number equals -. A) 3 + = B) 3 - = C)3 + = - 3( + ) = - Solve. If necessar, round percents to the nearest tenth, dollar amounts to the nearest cent, and all other numbers to the nearest whole. 9) Find the simple interest earned on $300 saved for ears at an interest rate of %. A) $,0.00 B) $.00 C) $30.00 $ ) % of the lawers in a firm are female. If there are 0 lawers altogether, how man lawers are female? A) lawers B) 3 lawers C) lawers lawers 3) A sales ta of $. is added to an item's price of $ Find the sales ta rate. Round to the nearest whole percent. A) % B) 0% C)0% % 3) A sales representative is paid a commission rate of.3% on all sales. Find her commission if her sales were $09,330. A) $79.9 B) $,.9 C) $0.3 $0,.30 33) A $70.00 dress is on sale for 30% off. Find the discount and the sale price. A) discount: $.00; sale price: $9.00 B) discount: $.0; sale price: $9.00 C) discount: $.00; sale price: $9.00 discount: $.0; sale price: $9.00 3) A compan increased the number of its emploees from 300 to 30. Find the percent increase. A) 0% B).% C).7% 3.3% 3) If the local sales ta rate is 7.9%, find the total amount charged for a watch priced at $0. A) $3.7 B) $.37 C) $.37 $9.7 Simplif the epression. 3) - 9 A) -3 B) C)3 37) (-)3 - (-) A) B) -7 C) - 7 3) 3 - [ - ( - )] + (3 - )3 A) B) - C) 39) (-7.) A) 3.3 B) 3.00 C)3. 3

4 0) -(-) (-) A) 0 B) -0 C) ) -7 + (-33) - + A) -3 B) -33 C)9-7 0) = -0. A) 3.7 B) -0.3 C) ) 3( +.7) = 7 -. A).9 B). C) ) - (9-7)3 A) 0 B) C) - - 3) -(-) + -(- - 3) A) 3 B) - C) ) (-0.) +.3 A).07 B).39 C) ) A) -. B). +.3 C) ) ( - 9) (9 - )3 A) 7 B) - C) -7 Simplif. ) ) (-0) + 90 (-9) A) B) -30 C)30 - Evaluate the epression for = -, = 3, z = -. ) z A) 3 B) 3 C) -7 - Simplif. 7) 9z A) B) C) - - ) 3 + A) 3 C) 30 B) 0 A) 3 B) 7 0 C) Perform the indicated operation and write the answer in simplest form. ) Find the average of, 3, and. A) 3 C) 3 7 ) - A) 3 C) 7 B) 3 3 B) 9 37 Simplif/Solve ) -0.3 A) -9 B) -0.9 C) ) A) - C) 9 B)

5 ) 7 ) 7 A) 7 B) A) 3 B) 7 3 C) 3 C) ) ) A) - 9 B) - 3 A) - 7 B) 7 C) 9 3 C) - 7 0) Solve the equation. ) ( + 3) = ( + 9) A) 0 B) -9 C) 9 A) 3 C) 9 3 B) ) = A) -3 B) C)3 - ) ) - = - A) 7 B) -7 C) - A) B) 9) = - - (-) C) 7 A) 7 B) C) - ) A) 7 3 C) ) a 7 a3 A) 7 a C) a 7 B) - 3 B) 7 a 7a 70) + (3n - ) = A) 9 3 B) 7 C) 3 Write the mied number as an improper fraction. 7) 3 9 A) 9 C) 9 9 B) 7 7 9

6 Write the percent as a fraction or a mied number in simplest form. 7) 7.% A) 7 B) 7 9 7) B A C) ) 0.9% A) C) 7) 0% B) A) A(7, 3); B (, 3) B) A(7, ); B(-, 3) C)A(, 30); B(3, -) A(7, ); B(3, -) A) B) 77) C) 3 Find the coordinates of the points in the graph. 7) H A) G(0, 3); H(-, -3) B) G(3, 0); H(-, -3) C)G(3, 0); H(-3, -) G(0, 3); H(-3, -) G C D A) C(-3, ); D(7, -) B) C(-3, -); D(, -) C)C(, 0); D(-, 7) C(-3, ); D(-, 7)

7 7) R Write the improper fraction as a mied number. ) 7 A) B) S C) 7 Find the perimeter (or circumference) and area of the figure. 3) A) R(-, 7); S(0, -) B) R(7, -); S(0, -) C)R(7, -); S(-, 0) R(-, 7); S(-, 0) Find the unknown diameter or radius as indicated. 79) r =. d d =? 9 d A) perimeter = d area = sq d B) perimeter = d area = 3 sq d C) perimeter = d area = sq d perimeter = d area = 3 sq d d A).0 d B).0 d C)0. d 3. d Find the mean, median, and mode of the list of numbers. 0) 9, 0, 0, 0,,,, 3 A) mean: 3.7; median:.; mode: and 0 B) mean:.; median: 3.7; no mode C)mean: 9.7; median: 7; no mode mean: 3.7; median: 3; mode: ) 0, 9, 39, 0, 0 A) mean: 39; median: 0; no mode B) mean: 3.; median: 39.; mode: 39 C)mean: 3.; no median; mode: 3 mean: 3.; median: 39; no mode ) Give the eact value and an approimation using π 3... d A) circumference =.π 7.0 d area =.π 90.3 sq d B) circumference = π 7.0 d area = π 7.00 sq d C) circumference = π 7.0 d area =.π 90.3 sq d circumference =.π 7.0 d area = π 9.0 sq d 7

8 ) in. Write the ratio or rate as a fraction in simplest form. 90) inches of rain in 3 das 9 in. in. A) B) 9 das 3 das in. 7 in. C) 9 in. 9 das in. 9 das A) perimeter = in. area = 3 sq in. B) perimeter = in. area = 3 sq in. C) perimeter = in. area = 3 sq in. perimeter = in. area = 3 sq in. 9 in. Write the decimal as indicated. ) 7.0, in words A) Eight-seven and eight-one ten-thousandths B) Eight-seven and eight-one thousandths C) Eight-seven and eight-one hundredths Eight-seven and eight-one tenths 7) Seven thousand and thirt-seven thousandths, in standard form A) B) C) Write the fraction or mied number as a percent. ) ) 3 A) 0.79% B) 7.9% C) 79% 790% A) % B).% C).% % 9) Lake Count's smallest forest preserve is 7 acres. Orange Count's smallest forest preserve is acres. Find the ratio of the acreage of Lake Count's forest preserve to Orange Count's forest preserve. A) 3 C) 7 9) 3. to 0 A) 3. 0 C) 00 3 B) 7 3 B) Find the unit rate. 93) 0 miles in 0 hours A) mi/hr B) 0.0 mi/hr C) mi/hr. mi/hr 9) A high school student created a remote control car that can travel feet in seconds. A) sec/feet B) feet/sec C) feet/sec feet/sec Find the unit price and decide which is the better bu. 9) Popcorn: ounces for $. ounces for $.0 A) -oz size B) -oz size C)Both cost the same per ounce. Add or subtract as indicated. Write the answer as a mied number in simplest form. 9) A) 9 3 C)7 3 B) 3 0 3

9 Graph the linear equation. 97) = A) 9) + = B) A) C) B)

10 C) B) C) ) + = A) 00) =

11 A) 0) = B) - A) C) - B) C)

12 Solve the proportion for the given variable. 0) 0.9 =. n A) 0 B) 3 0 C) ) = 3 Write the decimal as a percent. 0) 0.0 A) 0% B) 0.% C) 0.00% % 03) 9. A) 0.9% B) 9% C) 0.009% 90% Write the decimal as a fraction or mied number in simplest form. 0) -. A) C) - B) A) 3 0) n 7 = ) = 0 7 B) C) 3 A) B) 3 C) 7 A) 3 3 C) B) 30 Find the measures of,, and z in the figure. ) 0) 0. A) 3 C) 3 B) 0,9 30 Write the fraction as a decimal. If necessar, round to the nearest thousandth. 0) A) 0.3 B) 0.33 C) A) = = 30 z = C) = 0 = 30 z = 0 B) = 30 = 0 z = 0 = 0 = 30 z = 0 07) - 3 A) -0. B) -0. C)

13 Add or subtract as indicated. Write the answer as a mied number in simplest form. Evaluate the epression for the given replacement values. ) ; =, = 3 7 3) A) C) B) 7 0 A) 7 3 C) B) 3 7 Find the measures of,, and z in the figure. ) 9) -9; = - A) - C) - 7 B) 7 A) = = z = C) = = z = B) = = z = = = z = Find the mean. If necessar, round to one decimal place. ), 9,,, 37, 9 A) B) C)7 7. Write the fraction in simplest form. ) 30 A) 3 C) 7) - 7 A) - 7 C) - 3 B) 3 30 B) Convert. Round to the nearest tenth of a degree, if necessar. 0) 09. C to degrees Fahrenheit A). F B).9 F C) 9. F.9 F ) 33 F to degrees Celsius A) 9. C B). C C) 0.3 C 0. C Find the average of the list of numbers. ) -, 3, -, 7, -9,, - A) - B) -3 C) - Convert. 3) mg to grams A) 0.0 g B),000 g C)00 g 0. g ) 3. tons to pounds A) 0 lb B) 00 lb C)9. lb 300 lb ) oz to pounds A) 7 lb B) 3 lb C)3.9 lb lb 3

14 Perform the indicated operation. Write the answer as a mied number in simplest form. ) 3 A new car dealership has taken an inventor of the vehicles it has in stock. Below is a histogram indicating the number of vehicles in stock in certain price ranges. Use the histogram to answer the question. A) B) C) 0 0 Convert. 7) 0.3 L to milliliters A) 30 ml B) ml C)3 ml ml Solve the problem. ) Raa has $0 in her checking account. She writes a check for $, makes a deposit for $, and then writes another check for $0. Represent the new balance in her account b an integer. A) - dollars B) 9 dollars C) dollars -9 dollars 9) Cit A has an elevation of,39 feet above sea level while Cit B has an elevation of,9 feet below sea level. Represent the difference in elevation between these two cities b an integer. A) ft B) 3 ft C)33, ft 33,0 ft Translate the phrase to an algebraic epression. Use to represent "a number." 30) a. The product of a number and 0 b. Twice a number subtracted from A) a. 0 b. - C)a. 0 b. - B) a. 0 b. - a. 0 b. - Round the decimal to the indicated place value. 3) , nearest thousandth A) B) C) ) 9.9, nearest tenth A) 9.9 B) 0.0 C) ) How man vehicles in stock are priced $0,999 or less? A) 0 vehicles B) vehicles C) vehicles 0 vehicles 3) How man vehicles in stock are priced between $,000 and $0,999? A) 3 vehicles B) vehicles C) 0 vehicles vehicles Write the percent as a decimal. 3) 0.% A) 0.00 B) 0.00 C) ) 00% A) B) 00 C)0 0. Find the square root and simplif. Round to the nearest thousandth if necessar. 37) 9 A) 7 C) 9 B) 7 7

15 Provide an appropriate response. 3) Find the supplement of a angle. A) B) C) 33 39) Simplif: -(3z + ) - z - A) -z - B) -z + C) -z + -z - 0) Find the complement of a 3 angle. A) 307 B) 7 C) 7 37 ) Find the measure of. A) (0, -), (, -3), (-, -9) (, -3) - (0, -) (-, -9) -0 B) (0, 0), (, ), (-, -) 0 (, ) 37 A) B) 3 C) 3 0 ) Multipl: -( + ) A) -3 - B) + C) ) Simplif b combining like terms. A) B) + 0 C) + 0 (0, 0) (-, -) -0 C)(0, ), (, 3), (-, 9) 0 (-, 9) (0, ) (, 3) -0-0 Complete and graph the ordered-pair solutions of the given equation. ) = 3 + ; (0, ), (, ), (-, ) (0, ), (, 9), (-, 3) 0 (, 9) (0, ) (-, 3)

16 ) = ; (, ), (0, ), (-, ) C)(, ), (0, 0), (-, - ) 0 (, ) -0 - (0, 0) - (-, -) A) (, ), (0, 0), (-, -) -0 (, -), (0, 0), (-, ) 0 0 (, ) (-, ) (0, 0) -0 - (0, 0) -0 - (-, -) - - (, -) -0 B) (0, ), (0, ), (-, ) 0 (0, ) (-, ) (0, ) -0 Perform the indicated operation. Round the result to the nearest thousandth if necessar. ) (-0.000) (-0.) A) 0.0 B).77 C) ) A).7 B) C) ) 9..3 A) 30.3 B).7 C) Find the prime factorization of the number. 9) A) 3 7 B) 7 C)

17 0) 9 A) 3 B) 3 C) 3 3 Find the volume of the solid. ) Use π 7. 7 cm Perform the indicated operation. Write the answer as a mied number in simplest form. ) 0 3 A) B) 0 C) 7 cm Find the perimeter and area of the figure. ) ) A) cu cm B) cu cm C) cu cm 3 cu cm ft ft 9 foot 3 foot A) perimeter: 7 7 ft; area: 3 sq ft B) perimeter: 7 7 ft; area: sq ft 3 C)perimeter: 7 7 ft; area: sq ft 39 perimeter: 7 7 in; area: sq ft; 39 9 ft A) 3 cu ft B) cu ft C) cu ft cu ft Translate the phrase into a mathematical epression. If needed, use to represent "a number." 3) Five times a number, subtracted from -9. A) 9 - B) - 9 C) (-9) Simplif the comple fraction. 7) 7 7 A) 3 C) 3 B) 9 3 ) The sum of -39 and a number. A) -39 B) -39 C) ) A) 0 C) 0 B)

18 Use the circle graph to solve the problem. 9) The circle graph summarizes the results of a surve in which 00 adults were asked their favorite movie categor. How man of the surve respondents said that the favor action movies? Round to the nearest whole number. A) respondents B) 300 respondents C) 3 respondents 73 respondents Find the perimeter of the figure. 0) Parallelogram.7 m.9 m A). m B) 0. m C)3. m.3 m

19 Answer Ke Testname: SAMPLEFINAL ) B ) B 3) D ) A ) A ) D 7) C ) A 9) B 0) B ) C ) D 3) A ) B ) B ) B 7) A ) A 9) C 0) C ) B ) C 3) B ) D ) C ) B 7) C ) C 9) B 30) B 3) D 3) A 33) C 3) A 3) B 3) B 37) A 3) D 39) A 0) A ) D ) C 3) C ) A ) B ) B 7) D ) C 9) D 0) D 9

20 Answer Ke Testname: SAMPLEFINAL ) B ) B 3) C ) D ) C ) D 7) A ) A 9) A 0) B ) A ) C 3) A ) B ) B ) A 7) C ) B 9) C 70) B 7) C 7) A 73) A 7) B 7) B 7) B 77) A 7) A 79) D 0) A ) D ) D 3) C ) C ) B ) B 7) B ) D 9) C 90) C 9) A 9) D 93) D 9) C 9) A 9) B 97) C 9) B 99) B 00) D 0

21 Answer Ke Testname: SAMPLEFINAL 0) C 0) D 03) D 0) A 0) C 0) B 07) A 0) A 09) D 0) C ) C ) D 3) C ) A ) D ) A 7) C ) A 9) B 0) D ) D ) B 3) A ) B ) B ) D 7) A ) B 9) D 30) D 3) B 3) B 33) A 3) D 3) B 3) A 37) A 3) B 39) D 0) D ) B ) A 3) B ) D ) A ) A 7) D ) C 9) D 0) D

22 Answer Ke Testname: SAMPLEFINAL ) A ) D 3) C ) C ) C ) C 7) C ) A 9) D 0) C