Solve the equation. 8 32 96) y=27 63 Find the volume. 100) A) 12 7 B) 3 28 C) 16 21 D) 21 16 21 ft 2 Objective: (4.7) Solve Equation Containing Fractions A) 112 ft3 Solve the problem. 97) The weekly output goal of ABCD Co. is given x by the expression: 100 + , where x is the 4 C) 17 Write the decimal as a fraction or mixed number in lowest terms. 102) 0.5 B) 1248 in. 2 D) 624 in. 2 Objective: (4.8) Find Area of Triangle Find the perimeter of the shaded triangle. 99) 8 1 yd 4 1 C) 20 yd 4 A) 5 100 B) 5 10 C) 1 2 D) 1 10 Objective: (5.1) Write Decimal as a Fraction 3 yd 4 Write the decimal in numbers. 103) Fifty six hundredths A) 50.6 B) 0.056 C) 0.56 D) 56 1 5 yd 2 A) 21 1 3 ft 6 Objective: (5.1) Identify Digit With Given Place Value 39 in. 32 in. A) 838.5 in. 2 C) 760.5 in. 2 D) 100 Identify the digit with the given place value. 101) 0.38945 hundredths A) 0 B) 8 C) 5 D) 0.08 Objective: (4.7) Solve Apps: Fractions 43 in. 5 3 ft 6 B) 56 ft3 Objective: (4.8) Find Volume of Rectangular Solid or Pyramid input in pieces. The output goal for next week is 288. What is the input in pieces? A) 752 pieces B) 172 pieces C) 47 pieces D) 300 pieces Find the area. 98) 16 ft 3 2 ft Objective: (5.1) Given Words, Write Decimal in Numbers 7 yd B) 38 1 yd 2 Round the number to the place indicated. 104) Round to the nearest thousandth: 1.2742 A) 1.275 B) 1.27 C) 1.26 D) 1.274 1 D) 19 yd 4 Objective: (4.8) Find Perimeter of Triangle Objective: (5.2) Round Decimal to Indicated Place 11 In order to prepare her budget, Sue gathers receipts for all major expenses she has had over the last month. Round the figure to the nearest dollar. 105) Groceries, $473.02 A) $472 B) $474 C) $473.10 D) $473 First, use front-end rounding to round each number and estimate the answer. Then, find the exact answer. 111) Ray's gross pay is $313.08 per week. $53.50 is withheld for federal income tax, $28.51 for FICA tax, and $14.62 for other deductions. Find his net pay. A) Estimate: $210; exact: $216.45 B) Estimate: $210; exact: $245.69 C) Estimate: $220; exact: $231.07 D) Estimate: $230; exact: $226.45 Objective: (5.2) Round Monetary Amount to Nearest Dollar Find the sum. 106) 92.03 + 1.081 + 4.144 + 7.03 A) 104.385 B) 104.285 C) 105.285 D) 104.295 Objective: (5.3) Solve Apps: Estimate and Add/Subtract Decimals Multiply. 112) (-3.2)(-19.7) A) 63.04 C) -16.5 Objective: (5.3) Add Decimals Horizontally Subtract the following numbers. 107) 14.450 - 10.979 A) 3.471 B) 3.371 C) 3.571 D) 25.429 Objective: (5.4) Multiply Signed Decimals First use front end rounding to estimate the answer. Then multiply to find the exact answer. estimate exact 2.9 113) × × 3.6 Objective: (5.3) Subtract Decimals Horizontally Solve the problem. 108) Carlos's subtotal at Scramble's Electronics is $12.71. The sales tax on these items is $1.67. What is Carlos's total bill? A) $13.38 B) $14.28 C) $14.38 D) $13.28 A) B) C) D) Objective: (5.3) Solve Apps: Add or Subtract Decimals Estimate: Estimate: Estimate: Estimate: 1.2; exact: 1.044 0.6; exact: 10.34 6; exact: 9.44 12; exact: 10.44 Objective: (5.4) Use Front End Rounding to Estimate Perform the indicated operation. 109) -6.539 + (-5.418) A) 11.957 B) -11.957 C) 1.121 D) 35.428 Solve the problem. 114) A certain person burns 6.2 calories per minute while walking. How many calories will be burned if that person walks for 3 hours? A) 18.6 calories B) 186 calories C) 1116 calories D) 11,160 calories Objective: (5.3) Add or Subtract Signed Decimals Add or subtract as indicated. 110) -260 - (-0.8916 + 0.2) A) -258.9084 C) -259.3084 B) -22.9 D) 22.9 Objective: (5.4) Solve Apps: Multiply Decimals B) -261.0916 D) 260.6916 Find the exact answer. 115) At SuperStop, gasoline costs $1.35 per gallon when you pay with a credit card and $0.09 per gallon less when you pay with cash. How much do you save by filling up a 14-gallon tank if you are paying cash? A) $12.60 B) $17.64 C) $18.90 D) $1.26 Objective: (5.3) Add or Subtract Three Signed Decimals Objective: (5.4) Solve Apps: Several Steps 12 Divide. Solve the problem. 122) A farmer is supposed to add 7.7 grams of supplement to the feed mix for his chickens. Instead, he adds 7.07 grams of supplement. Did he add too much or too little? What was the difference? A) Too much; 1.63 grams B) Too much; 0.63 grams C) Too little; 1.63 grams D) Too little; 0.63 grams 1.94 116) 2 A) 0.97 C) 1.97 B) 19.7 D) 9.7 Objective: (5.5) Divide Signed Decimals Perform the indicated operation and round as indicated. -129.163 117) hundredths 69 A) -2.37 C) -0.19 Objective: (5.6) Solve Apps: Fractions as Decimals B) -1.87 D) -0.24 Arrange in order from smallest to largest. 123) 0.093, 0.039, 0.033, 0.099 A) 0.033, 0.039, 0.093, 0.099 B) 0.033, 0.093, 0.039, 0.099 C) 0.033, 0.099, 0.039, 0.093 D) 0.099, 0.093, 0.039, 0.033 Objective: (5.5) Divide and Round Quotient as Requested Solve the problem. 118) The water in a tank weighs 258.19 lb. One cubic foot of water weighs 62.5 lb. How many cubic feet of water are in the tank? A) 320.69 cubic feet B) 0.24207 cubic feet C) 16,136.875 cubic feet D) 4.13104 cubic feet Objective: (5.6) Arrange Decimals and Fractions in Order Find the square root. When necessary, round to nearest thousandth. 124) 12 A) 3.474 B) 4.464 C) 3.464 D) 3.463 Objective: (5.5) Solve Apps: Divide Decimals Objective: (5.8) Find Square Root Perform the indicated operations and simplify. 119) 8.22 + 7.32 A) 31 B) 240.25 C) 120.53 D) 62 Find the unknown length in the right triangle. If necessary, round to the nearest tenth. 125) Objective: (5.5) Simplify Using Order of Operations 20 ft Write the fraction or mixed number as a decimal. Round to the nearest thousandth if necessary. 19 120) 113 21 A) 11.39 C) 113.905 A) 21.5 ft C) 129 ft Write the decimal as a fraction or mixed number in lowest terms. 121) 1.01 1 1,000 C) 1 B) B) 64.5 ft D) 11.4 ft Objective: (5.8) Find Unknown Length of Right Triangle B) 0.009 D) 1139.048 Objective: (5.6) Write Fraction or Mixed Number as Decimal A) 23 ft 1 100 1 D) 1 100 Objective: (5.6) Write Decimal as Fraction 13 Solve the problem. Round to the nearest tenth, if necessary. 126) A painter leans a ladder against one wall of a house. At what height does the ladder touch the wall? Find the radius or diameter as requested. 131) Find the diameter. 1.8 in. 20 ft ? A) 10.17 in. C) 5.652 in. 16 ft A) 12 ft C) 18 ft B) 0.9 in. D) 3.6 in. Objective: (5.10) Find Radius or Diameter of Circle B) 6 ft D) 72 ft Objective: (5.8) Solve Apps: Pythagorean Theorem Find the circumference and area of the circle. Round your results to the nearest tenth. (Use 3.14 for π.) 132) Solve the equation and check your solution. 127) -1.5 = -6.9 + x A) 5.4 B) 0.22 C) -5.4 D) -8.4 4.6 yd Objective: (5.9) Solve Decimal Equation Using Addition Property 128) -8.7m = -52.2 A) 6 C) 0.17 A) B) C) D) B) 43.5 D) 46.2 Objective: (5.9) Solve Decimal Equation Using Division Property Solve the equation. 129) 7.9x - 10.8x = -40.6 A) 16 B) 14 C) 15 C=14.4 yd, A=14.4 yd2 C=7.2 yd, A=28.9 yd2 C=7.2 yd, A=66.4 yd2 C=14.4 yd, A=16.6 yd2 Objective: (5.10) Find Circumference, Area of Circle from Figure Find the circumference and area of a circle having the given diameter or radius. Round your results to the nearest tenth. 133) r = 1.85 in. A) C=5.8 in., A=23.2 in.2 B) C=11.6 in., A=10.7 in.2 C) C=11.6 in., A=11.6 in.2 D) C=5.8 in., A=43 in. 2 D) 13 Objective: (5.9) Solve Decimal Equation Using Addition and Division Solve the problem. 130) A storage company rents their 10' × 10' space for $66.47 per month. They have a smaller 5' × 7' space available for 0.6 times the cost of the larger unit. What is the rental cost of the smaller space (round to the nearest cent)? A) $110.78 B) $46.53 C) $39.88 D) $26.59 Objective: (5.10) Find Circumference, Area of Circle Write the ratio as a fraction in lowest terms. 134) 15 cents to 48 cents 5 5 A) B) 48 16 Objective: (5.9) Solve Apps: Solve Equation Containing Decimals C) 15 48 D) 16 48 Objective: (6.1) Write Ratio as Fraction 14 Write the ratio as a fraction in lowest terms. Be sure to make all necessary conversions. 135) 50 cents to $9 50 1 B) A) 9 18 C) 9 500 D) Solve the problem. 140) David's net pay for a week at the video store was $72.48. If he worked 16 hours that week, what was his net pay rate? A) $4.53/hour B) $4.37/hour C) $4.83/hour D) $4.62/hour 1 9 Objective: (6.2) Solve Apps: Rates Objective: (6.1) Convert Measurement and Write as Fraction Write the following proportions. 141) $20 is to 16 bottles as $45 is to 36 bottles $45 $16 = A) 20 bottles 36 bottles Solve the problem. Write ratios in lowest terms. 3 136) Jim's house is built on a 2 -acre plot of land. 4 Jane's house sits on a 9-acre piece of land. Find the ratio of the size of Jim's land to the size of Jane's land. 2 11 B) A) 9 9 C) 11 36 D) 11 4 $20 $16 = 45 bottles 36 bottles C) $20 $45 = 16 bottles 36 bottles D) $20 $45 = 36 bottles 16 bottles Objective: (6.3) Write as a Proportion Objective: (6.1) Solve Apps: Find Ratio Find the unknown number in the proportion. Round answer to the nearest hundredth when necessary. 5 32 142) = x 59 Write the following as a rate in lowest terms. 137) 14 cars for 56 people 14 cars 14 cars A) B) 56 people 4 people 1 car C) 4 people B) A) 377.60 C) 2.71 4 cars D) 1 person B) 0.11 D) 9.22 Objective: (6.3) Solve Proportion Objective: (6.2) Write Rate as Fraction in Lowest Terms Find the unknown number in the proportion. Write your answer as a whole number or a mixed number if possible. x 1 143) = 3 6 1 8 24 1 A) B) 18 49 8 Find the unit rate. 138) 10 cents for 5 marbles A) 15 marbles B) 2 cents/marble C) 50 cents/marble D) 0.5 cents/marble Objective: (6.2) Find the Unit Rate C) 2 Find the best buy (based on cost per unit). 139) Brand A: 12 oz for $9.36 Brand B: 15 oz for $11.85 A) Brand A B) Equal value C) Brand B D) Not enough information 2 3 D) 2 1 24 Objective: (6.3) Solve Proportion (Fractions/Mixed Numbers) Use a proportion to solve the problem. 144) If a computer prints 267 lines in 5 seconds, how many lines can it print per minute? A) 3209 lines B) 1602 lines C) 3214 lines D) 3204 lines Objective: (6.2) Find the Best Buy Objective: (6.4) Solve Apps: Proportions I 15 Find the perimeter of the specified triangle. Assume the triangles are similar. 145) Find the perimeter of the triangle on the left. Use the properties of parallel lines to solve the problem. 147) Line p is parallel to line q. If ∠8 measures 52°, find the measure of each angle. 39 ft A) 48 ft C) 78 ft 26 ft B) 87 ft D) 98.7 ft Objective: (6.6) Find Perimeter Given Pair of Similar Triangles A) ∠2, ∠4, ∠6 all measure ∠7 all measure 138° B) ∠2, ∠4, ∠6 all measure ∠7 all measure 128° C) ∠2, ∠4, ∠6 all measure ∠7 all measure 38° D) ∠5, ∠6, ∠7 all measure ∠4 all measure 128° Solve the problem. 146) Julia, who is 1.98 m tall, wishes to find the height of a tree with a shadow 33.03 m long. She walks 22.06 m from the base of the tree along the shadow of the tree until her head is in a position where the tip of her shadow exactly overlaps the end of the tree top's shadow. How tall is the tree? Round to the nearest hundredth. 52°; ∠1, ∠3, ∠5, 52°; ∠1, ∠3, ∠5, 52°; ∠1, ∠3, ∠5, 52°; ∠1, ∠2, ∠3, Objective: (6.5) Use Properties of Parallel Lines to Find Angles Write the fraction as a percent. Round to the nearest tenth of a percent if necessary. 54 148) 100 A) 5.4% C) 0.54% B) 540% D) 54% Objective: (7.1) Write Fraction as Percent A) 2.96 m C) 3.30 m B) 1.98 m D) 5.96 m Write percents as decimals and decimals as percents. 149) At a certain company 48% of the employees have engineering degrees. A) 480 B) 4.8 C) 0.0480 D) 0.480 Objective: (6.6) Solve Apps: Similar Triangles Objective: (7.1) Convert Between Decimal and Percent Notation Use the percent proportion to answer the question. Round your answer to the nearest tenth of a percent, if necessary. 150) $18.42 is what percent of $242.67? A) 76.0% B) 131.7% C) 7.6% D) 1317.4% Objective: (7.2) Use Percent Proportion to Find the Percent 16 Write and solve an equation to answer the question. Round your answer to the nearest hundredth, if necessary. 151) What is 150% of 1490 weight loss programs? A) 223,500 B) 2235 C) 22,350 D) 224 Solve the problem. 156) Bathing suits are often on sale in July. The regular price of one suit is $43. With a 35% discount, what is the sale price of the suit? A) $26.95 B) $27.95 C) $28.95 D) $15.05 Objective: (7.5) Solve Apps: Discount Objective: (7.3) Use Percent Equation to Find the Part 157) Robert Hall opened a maid service company. To pay for startup costs, Robert Hall borrowed $74,000 from a bank at 9% for 1 year. Find the interest. A) $6660.00 B) $7400.00 C) $666.00 D) $80,660.00 Write and solve an equation to answer the question. Round your answer to the nearest whole number, if necessary. 152) 111 highways is 45% of what number of highways? A) 4 B) 2470 C) 247 D) 24,700 Objective: (7.5) Solve Apps: Simple Interest Objective: (7.3) Use Percent Equation to Find the Whole Write and solve an equation to answer the question. Round percent to the nearest thousandth, if necessary. 4 153) The Liberty Mutual Bank pays 5 % interest 5 per year on non-checking accounts. What is the annual income on a non-checking account of $69,800? Round to the nearest dollar. A) $139,600 B) $40,480 C) $4048 D) $1,396,000 Objective: (7.4) Solve Apps: Use Percent Equation Write and solve an equation to find the percent increase or decrease. Round your answer to the nearest tenth of a percent, if necessary. 154) Last year, Maria earned $340 per week. This year, her salary increased to $366 per week. What is the percent of increase? A) 92.9% B) 7.1% C) 7.6% D) 92.4% Objective: (7.4) Solve Apps: Find Percent Increase/Decrease Find the amount of the sales tax or the tax rate and the total cost. Round money answers to the nearest cent. 1 155) Cost of item: $300 Tax rate: 5 % 2 A) B) C) D) $165.00, $465.00 $13.50, $313.50 $16.50, $316.50 $19.50, $319.50 Objective: (7.5) Find Sales Tax and Total Cost 17 Answer Key Testname: MATH0306REVIEWSTUDENTMCFA14 1) B 2) B 3) A 4) A 5) A 6) A 7) A 8) A 9) A 10) D 11) A 12) D 13) D 14) C 15) C 16) C 17) A 18) A 19) C 20) A 21) D 22) B 23) A 24) C 25) A 26) B 27) B 28) B 29) D 30) C 31) B 32) B 33) C 34) B 35) D 36) B 37) C 38) B 39) B 40) A 41) B 42) C 43) C 44) C 45) A 46) C 47) D 48) A 49) C 50) A 51) D 52) C 53) D 54) B 55) D 56) C 57) D 58) D 59) B 60) A 61) A 62) D 63) A 64) C 65) B 66) B 67) D 68) C 69) B 70) B 71) C 72) D 73) D 74) B 75) C 76) D 77) A 78) D 79) D 80) B 81) B 82) B 83) D 84) C 85) C 86) C 87) C 88) A 89) D 90) A 91) D 92) D 93) C 94) C 95) A 96) A 97) A 98) D 99) A 100) A 101) B 102) C 103) C 104) D 105) D 106) B 107) 108) 109) 110) 111) 112) 113) 114) 115) 116) 117) 118) 119) 120) 121) 122) 123) 124) 125) 126) 127) 128) 129) 130) 131) 132) 133) 134) 135) 136) 137) 138) 139) 140) 141) 142) 143) 144) 145) 146) 147) 148) 149) 150) 151) 152) 153) 154) 155) 156) 157) 18 A C B C A A D C D A B D C C D D A C D A A A B C D D B B A C C B A A C D D D C D B D D C B C C C C B A
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