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1 EAST LOS ANGELES COLLEGE NAME: MATH 110 (INTRO TO MATH CONCEPTS) FINAL EXAM SAMPLE INSTRUCTOR: ANNE SISWANTO; TOTAL POINTS: 100; TIME: 10 MINUTES. Direction: Please write our answer in the answer blanks and show all work to get full credits. Each question is worth points each. Simplif. 1) (-15) 1) ) ) 3) Leah has $91 in her checking account. She writes a check for $5, makes a deposit for $ 89, and then writes another check for $00. Find the amount left in her account. (Write the amount as an integer.) 3) Find the average of the list of numbers. ) -1, -1, -1, -3, -, ) Simplif. 5) (-30) 5) ) Ben lost $33 on each of 8 consecutive das in the stock market. If he had $1,78 before his loss, how much does he have after his loss? ) Simplif. 7) ) 8) (-1) 8) 9) -0 + (5 + 30) 5 9) 10) (-8) 10) 11) ) 1) ) 13) (-) 13) A. Siswanto 1 Math 110 Final Eam Sample

2 1) (-8) + (-) - 1) 15) - 15) Solve each equation. Each question is worth points 1) p + 1 = 5p - 1 1) 17) -9b + + 7b = -3b ) 18) (z - ) = 3(z + 5) 18) Solve the equation. Each question is worth points 19) = ) Solve each equation. Each question is worth points 0) = ) 1) -1 s - 1 = -7 1) ) 5(z - ) = 9(z + ) ) Solve the equation. 3) 3(5 + ) + 7 = ) Write each sentence as an equation. Do NOT solve. Use to represent ʺa number.ʺ Each question is worth points ) A number added to - gives -8. ) 5) Three subtracted from three times a number gives 39. 5) Add the polnomials. Each question is worth 3 points ) ( - + 7) + ( ) ) Subtract the polnomials. Each question is worth 3 points. 7) (3z - 10) - (-z + ) 7) Multipl. Each question is worth 3 points. 8) (-85)(-3) 8) Simplif. Each question is worth 3 points. 9) (5) () 9) A. Siswanto Math 110 Final Eam Sample

3 Multipl. Each question is worth 3 points. 30) (z + 3)(z - 7) 30) Multipl. 31) ( - )( - ) 31) 3) (5 + 3)( - 9) 3) 33) ( - 13) 33) 3) (10z + 3) 3) 35) ( - )( + + 7) 35) 3) (9-1)( ) 3) Set up the equation and solve. Use steps 1-5 outlined in class. Each question is worth points. 37) Nine times the sum of a number and -180 amounts to 7. 37) Set up the equation and solve. Use steps 1-5 outlined in class. Each question is worth points. 38) Mar and her brother John collect foreign coins. Mar has three times the number of coins that John has. Together the have 10 foreign coins. Find how man coins Mar has. 38) 39) During an intramural basketball game, Team A scored 1 fewer points than Team B. Together, both teams scored a total of 1 points. How man points did Team A score during the game? 39) Graph each function on a number line. 0) 11 0) Simplif each fraction. 1) 80s 3t 90st 1) Evaluate. ) ) A. Siswanto 3 Math 110 Final Eam Sample

4 Divide. Write all quotients in simplest form. 3) ) Perform each indicated operation. Write all quotients in simplest form. ) ) 5) ) Add or subtract as indicated. Write the sum in simplest form. ) ) 7) ) Evaluate each epression for the given values. Write answers in simplest form. 8) + when = - 5 and = 1 8) Write answers in simplest form. 9) Find the perimeter of the parallelogram. Write the answer in simplest form. 9) 5 mile 5 mile Simplif. 50) ) 51) ) 5) ) Solve each equation. 53) 9 = c - 53) A. Siswanto Math 110 Final Eam Sample

5 Write the answers in simplest form. 5) = ) 55) h + 1 = 5 55) Solve each equation. 5) 7-8 = 9 5) Multipl. Write answers in simplest form. 57) ) Divide. Write the answers in simplest form. 58) ) 59) ) Add. Write the answer in simplest form as a mied number or a whole number. 0) 0) Subtract. Write the answer in simplest form as a mied number. 1) ) Write the prime factorization of the number. ) 90 ) Write the answer in simplest form. 3) There are 500 shoppers at a shopping mall. If 00 are females, what fraction of the shoppers are females? 3) ) Marʹs Cinema received $700 in movie admission tickets for one da. About of this 5 ) amount was for G-rated movies. Find the amount of mone received from G-rated movies. A. Siswanto 5 Math 110 Final Eam Sample

6 Approimate the circumference of the cicle using 3.1 for π. 5) 5) 11.8 cm ) Mia earns $10.5 per hour at her job. She worked 1 hours last week. Calculate Miaʹs pa before taes. ) Arrange in order from smallest to largest. 7) 3, 5, 3, ) Find the area of the figure. Round to the nearest thousandth, if necessar. 8) 8) 0 ft 50.5 ft 9) 1 d 9) 1. d Solve the equation. 70). = ) 71) = 3-71) 7) = + 7) 73) = ) 7) = ) A. Siswanto Math 110 Final Eam Sample

7 Find the square root. 75) ) 7) ) Using the given lengths of two sides of a right triangle, find the length of the side not given. Round to the nearest thousandth. 77) 9 in 3 in 77) 78) A 0-foot ladder is leaning against a house with the base of the ladder feet from the house. How high up the house does the ladder reach? Round to the nearest tenth foot. 78) 0 ft ft Write the ratio as a ratio of whole numbers using fractional notation. Write the fraction in simplest form. 79) 80 kilometers to kilometers 79) Write the ratio as a fraction in simplest form. 80) 1 3 to ) Write the rate as a unit rate. 81) 1137 people in 30 buses 81) Find the unit price. 8) Find which is the better bu (lower cost per ounce) b finding each unit price rounded to three decimal places if necessar. Assume that different sizes of the same brand are being compared. 8) Crackers: $1.71 for 9 ounces $1.1 for 3 ounces Solve the proportion for the given variable. 83) 9 = ) A. Siswanto 7 Math 110 Final Eam Sample

8 8) It takes Sarah 18 minutes to tpe and spell check 10 pages of a manuscript. Find how long it takes her to tpe and spell check 35 pages. Round answers to the nearest whole number if necessar. 8) 85) On an architectʹs blueprint, 1 inch corresponds to 9 feet. If an eterior wall is 39 feet long, find how long the blueprint measurement should be. Write answer as a mied number if necessar. 85) 8) Write the equivalent decimal and percent for 1. 8) 87) Write the equivalent decimal and fraction for.%. 87) Determine what percent of the figure is shaded. 88) 88) 89) 7. is 9 1 % of what number? 89) 90) 98.7 is what percent of 1? 90) 91) What number is 19% of 0? 91) 9) One da 1 office workers were sick with the flu. If this were 0% of the total number of office workers, how man office workers were there altogether? 9) Round the answer to the nearest cent, if necessar. 93) Last ear the profit for a compan was $37,000. This earʹs profit decreased b.%. Find this earʹs profit. 93) 9) The enrollment at a local college increased 1% over last earʹs enrollment of Find the current enrollment. 9) Round to the nearest tenth, if necessar. 95) A compan increased the number of its emploees from 00 to 30. What was the percent increase in emploees? 95) A. Siswanto 8 Math 110 Final Eam Sample

9 9) A real estate agent earned $3575 for selling a propert. If her commission rate is 5%, find the selling price of the propert. 9) 97) Find the amount of discount when the original price is $99.90 and the discount rate is 0%. 97) 98) A $900 diamond ring is on sale at 10% off. Find the sale price. 98) Complete each ordered-pair solution of the given equations. 99) = -3-0 (-8, ) (-0, ) (0, ) 99) Graph each equation. 100) = 5 100) ) = - 101) A. Siswanto 9 Math 110 Final Eam Sample

10 10) = 1 10) ) - = ) ) - = -1 10) A. Siswanto 10 Math 110 Final Eam Sample

11 105) 3 - = ) Find the perimeter of each figure. 10) 1 km 7 km 10) km 15 km 13 km 107) If fencing cost $5 per foot, find the total cost for fencing a rectangular garden 1 ft b 5 ft. 107) Find the area. 108) 108) 0.5 ft 1.3 ft 1. ft Find the area of the triangle. 109) 109) ft 17 ft 7 ft 15 ft Find the area of the triangle. A. Siswanto 11 Math 110 Final Eam Sample

12 110) 110) 0.08 km 0.1 km Find the area of the rectangle. 111) Find the area of the figure. 5 in. in. 5 in. 111) 0 in. 1 in. 11) 11).1 in. 5 in in. A childʹs book is in the shape of a trapezoid as shown. Find its area. Find the volume of the solid. 113) 113) Sphere with diameter of 1. cm Use 3.1 as the approimate value for π. Round results to the nearest hundredth if necessar. A. Siswanto 1 Math 110 Final Eam Sample

13 Answer Ke Testname: M110FINS Answer Ke Testname: M110FINS Answer Ke Testname: M110FINS 1) -11 ) 59 3) 1 dollars ) - 5) ) $11,8 7) 339 8) 71 9) -1 10) -8 11) -3 1) - 13) 39 1) 98 15) -1 1) ) 5 18) 19 19) - 0) - 3 1) 1 ) 5 3) -8 ) - + = -8 5) 3-3 = 39 ) ) z - 1 8) 811 9) 30) 8z - z ) ) ) ) 100z + 0z ) ) ) 9 + (-180) = 7 38) 105 coins 39) 3 points 0) ) 8s t 9 ) ) - 5 ) 3 9 5) 3 ) ) ) ) 9 15 mi 50) ) ) 1 53) ) ) 10 5) 50 57) ) 3 59) 5 0) ) 17 5 ) 3 5 3) 3 7 ) $59 5) 7.10 cm ) $18.3 7) 3, 3, 5, ) 1010 ft 9) 0.8 d 70).8 71) ) 8. 73) 3. 7) ) ) 13 77) 8.85 in 78) 19.1 feet 79) ) ) 37.9 people/bus 8) $1.71 for 9 ounces 83) 3 8) 3 min 85) 1 3 in. 8) 0.5; 5% 3 87) 0.0; 15 88) 37.5% 89) 70 90) 70% 91) 3.8 9) 0 office workers 93) $351,93 9) 330 students 95) 5% 9) $71,500 97) $ ) $ ) (-8, ) (-0, 0) (0, -0) 100) A. Siswanto 13 Math 110 Final Eam Sample

14 Answer Ke Testname: M110FINS Answer Ke Testname: M110FINS 101) 10) ) 105) ) ) 110 km 107) $0 108) 0.3 sq. ft 109) 5 sq. ft 110) sq. km 111) 5 sq. in. 11) 3 sq. in. 113) 0.90 cu. cm - -

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