Math 110 Sample Final Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 6) In a particular city, Solve. 1 of the residents 500 subscribe to the local newspaper. Write 1) Find the area. a percent. A) 0.002% C) 0.02% 1.2 miles B) 0.0002% D) 0.2% 7) Find the exact circumference of the circle. Then use the approximation 3.14 for π and approximate the circumference. 4.3 miles A) 516 sq mi C) 51.6 sq mi 1 as 500 B) 2.58 sq mi D) 0.516 sq mi 2) On a recent trip, Asha drove 266 miles on 14 1 5 7 miles gallons of gasoline. How many miles would we expect the car to travel on 1 gallon of gas? 71 52 A) mi B) 18 mi 1330 71 C) 745 mi 3) D) 3777 1 mi 5 A) 14π mi, 44.1 mi B) 49π mi, 153.86 mi C) 14π mi, 43.96 mi D) 7π mi, 21.98 mi x x 7 - = 9 8 9 A) - 7 9 C) 0 B) - 1 56 8) D) - 56 4) To determine the tip on a restaurant bill, a patron rounds his bill to the nearest dollar and then calculates 20% of that dollar amount. If the bill came to $139.40, determine the tip that he left. A) $27.80 B) $28.00 C) $27.70 D) $27.90 11 20 D) A) - 1 5 B) - C) - 2 15 D) 1 10 3 5 9) A country reports total exports of $7,725 million last year. Write this number using standard notation. A) $7,725 B) $7,725,000,000 C) $7,725,000,000,000 D) $7,725,000 5) In small firms in a certain country, 27.5% of full-time employees receive medical insurance benefits. Write 27.5% as a fraction. 11 3 A) B) 2 40 4 C) x 2 7 x + = + 2 5 20 4 10) 0.6% of what number is 7.8? A) 2600 B) 1300 C) 780 D) 650 11 80 1 11) The difference of four times a number and seven times the same number is 9. Find the number. A) 3 B) 4 C) -3 D) -4 12) A nail 3 2 16) Given that the triangles above are similar, find the unknown length n. 6 1 inches long is driven into a board 2 25 2 inches thick. How much of the nail 5 A) 0.24 C) 150 protrudes from the other side of the board? 4 2 A) 2 in. B) in. 9 9 C) 1 in. 10 D) 1 18) A rectangular room measures 10 ft by 19 ft. Find the cost of installing a wallpaper border around the room if the border costs $0.46 per foot. A) $26.68 B) $87.40 C) $13.34 D) $174.80 19) Corrin borrows $3600 and agrees to pay it back in 6 years. If the simple interest rate is 3%, find the total amount she pays back. A) $6480 B) $648 C) $4248 D) $10,080 14) The sales tax on the purchase of a car is $ 3649.51. If the tax rate is 8.3%, find the purchase price of the car. A) $36,495.10 B) $43,970.00 C) $47,619.51 D) $1,604,689.55 20) A high school graduating class is made up of 550 students. There are 144 more boys than girls. How many girls are in the class? A) 347 girls B) 550 girls C) 203 girls D) 144 girls 15) The standard dose of medicine for a dog is 5 grams for every 15 pounds of body weight. What is the standard dose for a dog that weighs 95 pounds? 2 A) 31 g B) 31 g 3 1 g 3 62.5 B) 15 D) 2.4 17) Approximate to the nearest thousandth of a centimeter, if necessary, the length of the missing side of a right triangle with legs of 9 cm and 3 cm. A) 9.487 cm B) 27 cm C) 4.899 cm D) 12.220 cm 1 in. 10 13) Nick is going to put insecticide on his lawn to control grubworms. The lawn is a rectangle that measures 246.9 feet by 84 feet. The amount of insecticide required is 0.06 ounces per square foot. a) Find the area of the lawn. b) Find how much insecticide Nick needs to purchase. A) a) 20,739.6 sq ft B) a) 661.8 sq ft b) 1244.376 oz b) 39.708 oz C) a) 661.8 sq ft D) a) 20,739.6 sq ft b) 11,030 oz b) 345,660 oz C) 31 n 21) 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 120 ballots cast. How many votes did Jackie receive? A) 16 votes B) 80 votes C) 72 votes D) 40 votes D) 32 g 22) Find the perimeter of a square picture frame with a side length of 13.9 inches. A) 193.21 in. B) 27.8 in. C) 55.6 in. D) 41.7 in. 2 23) 441 is what percent of 735? A) 65% B) 60% C) 120% D) 50% 31) A sales tax of $12.4 is added to an item's price of $499.99. Find the sales tax rate. Round to the nearest whole percent. A) 5% B) 40% C) 20% D) 2% 24) A motorcycle can be driven 100 miles in 3 hours, how long will it take to travel 120 miles? 5 5 A) hours B) hours 18 6 C) 1 1 hours 5 D) 3 32) A sales representative is paid a commission rate of 5.3% on all sales. Find her commission if her sales were $109,330. A) $5794.49 B) $115,124.49 C) $2062.83 D) $20,628.30 3 hours 5 25) What number is 47% of 20? A) 94 B) 9400 C) 9.4 D) 940 33) A $270.00 dress is on sale for 30% off. Find the discount and the sale price. A) discount: $81.00; sale price: $2619.00 B) discount: $8.10; sale price: $189.00 C) discount: $81.00; sale price: $189.00 D) discount: $8.10; sale price: $2619.00 26) On an architect's blueprint, 1 inch corresponds to 12 feet. If an exterior wall is 60 feet long, find how long the blueprint measurement should be. A) 60 in. B) 5 in. C) 2 in. D) 45 in. 34) A company increased the number of its employees from 300 to 360. Find the percent increase. A) 20% B) 54.5% C) 16.7% D) 83.3% Translate the sentence into an equation. If needed, use x to represent "a number." 27) The sum of twice 5 and -14 is -4. A) 2 · 5 + (-4) = -14 B) 2 · 5 = -14 + -4 C) 2 · 5 + (-14) = -4 D) 2 · 5 - (-14) = -4 35) If the local sales tax rate is 7.9%, find the total amount charged for a watch priced at $1068. A) $843.72 B) $1152.37 C) $84.37 D) $1911.72 Simplify the expression. 45 6 2 36) 5 9 28) Five added to three times a number equals -25. A) 3x + 25 = 5 B) 3x - 25 = 5 C) 3x + 5 = -25 D) 3(x + 5) = -25 A) -3 Solve. If necessary, round percents to the nearest tenth, dollar amounts to the nearest cent, and all other numbers to the nearest whole. 29) Find the simple interest earned on $3200 saved 1 for 4 years at an interest rate of 11%. 2 A) $15,840.00 C) $3520.00 B) $1584.00 D) $352.00 30) 24% of the lawyers in a firm are female. If there are 150 lawyers altogether, how many lawyers are female? A) 114 lawyers B) 36 lawyers C) 625 lawyers D) 16 lawyers 3 B) 5 C) 13 37) (-2)3 - 18 ÷ (-2) A) 1 C) -1 B) -17 D) 17 38) 23 - [6 - (5 - 8)] + (3 - 5)3 A) 28 C) 22 B) -22 D) 6 39) (-7.4)2 + 6.8 - 8.2 A) 53.36 C) 13.4 B) 36.00 D) 6 D) 21 40) -(-8)2 ÷ 8 · (-5) A) 40 C) -320 41) -7 + (-33) - 15 + 8 A) -63 C) 19 42) 2 - (9 - 7)3 A) 10 43) B) 6 B) -40 D) 320 50) 0.3x + 1.6 = -0.5 A) 3.7 C) -2.1 B) -0.63 D) -7 B) -33 D) -47 51) 3(x + 5.7) = 7x - 2.1 A) 1.95 C) -19.2 B) 4.8 D) 23.2 D) -2 52) (-0.4)2 + 1.23 A) 1.07 C) 0.43 B) 1.39 D) -1.07 D) 25 53) 2.8x - 3.5 - 1.6x - 9.8 A) -12.1x C) 1.2x - 13.3 B) 1.2x + 6.3 D) 4.4x - 34.3 C) -6 -4(-5) + 5 -1(-2 - 3) A) 3 B) -5 C) 5 44) (6 - 9)2 · (9 - 5)3 A) 576 C) -576 B) -848 D) 144 45) (-20) + 90 ÷ (-9) A) 8 C) 30 B) -30 D) -8 Simplify. 54) 9 9 5 10 A) 9 9 + 5 10 36 5 C) 0 Evaluate the expression for x = -2, y = 3, z = -4. 46) -5x + 9y + 6z A) 35 B) 13 C) -57 D) -8 47) 27 20 D) 243 100 Perform the indicated operation and write the answer in simplest form. 2 3 1 55) Find the average of , , and . 6 8 4 9z 2y A) 12 C) -12 B) B) 6 D) -6 A) 23 24 B) 23 48 C) 23 72 D) 1 32 Simplify. 48) 1 1 1 + · 3 6 5 56) 1 25 1 · 4 2 6 A) 23 18 B) 1 45 A) 148 3 B) 19 6 C) 11 30 D) 1 10 C) 71 24 D) 37 12 Simplify/Solve. 0.25 + 1.82 49) -0.3 A) -69 C) -0.069 57) - 2 11 · 3 17 A) - B) -0.69 D) -6.9 C) 4 22 51 19 14 B) - 34 33 D) - 13 20 58) 1 1 ÷ 7 6 64) A) 6 7 B) 1 C) 2 13 D) 9 8y A) C) 60) 1 42 15 3 16y 16y 59) - 9 8y 65) 3 4y B) D) 3 4y 3 2 3 1 ÷ 4 4 12 61) 4 A) 3 8 B) 27 32 C) 9 32 D) 9 8 A) 5 1 2 B) 1 C) 5 5 21 D) 27 1 2 7 36 7 C) 36 1 2 C) 7 8a 2 2a 2 7 B) 7 3 C) 7 192 D) 7 12 5 30 ÷12 84 A) - 7 6 B) 7 6 C) - 25 168 D) 6 7 B) - 68) -21 = 4y - y A) 7 C) -4 B) -7 x = -1 - (-8) 2 70) 1 + 2(3n - 1) = 41 19 A) 3 5 36 C) 8 1 D) 12 C) 4 B) 26 D) -26 A) 7 C) 14 B) 18 D) -14 B) 7 D) 22 3 Write the mixed number as an improper fraction. 2 71) 3 9 1a 7 63) · 2 4a 3 A) 112 3 67) 3x - 4 - 2x - 6 = 28 A) -38 C) 38 69) 1 5 1 + 12 36 4 A) A) Solve the equation. 66) 6(2x + 3) = 2(4x + 9) A) 0 B) -9 2 1 ·1 5 4 62) - 7 1 1 ÷ · 6 8 4 B) D) 7 A) 29 2 B) 27 2 C) 29 9 D) 27 9 8a 4 2 7a 2 5 D) 9 D) 4 Write the percent as a fraction or a mixed number in simplest form. 72) 87.5% 7 7 A) B) 8 9 C) 87 7 8 D) 87 76) y 8 6 A 4 B 1 2 2 -8 -6 -4 -2 2 4 6 8 x 4 6 8 x -2 73) 0.9% -4 9 A) 1000 C) 9 B) 100 9 500 D) 5 12 B) 1 -6 -8 9 2000 A) A(7, 3); B (4, 3) B) A(7, 4); B(-5, 3) C) A(4, 30); B(3, -5) D) A(7, 4); B(3, -5) 74) 120% A) C) 2 2 5 D) 1 5 77) 3 5 y 8 6 Find the coordinates of the points in the graph. 75) 4 C 2 y 6 -8 -6 -4 -2 2 -2 4 -4 2 -6 G -6 -4 -2 2 4 6 -8 x H-2 A) C(-3, 2); D(7, -4) B) C(-3, -4); D(2, -4) C) C(2, 10); D(-4, 7) D) C(-3, 2); D(-4, 7) -4 -6 A) G(0, 3); H(-2, -3) B) G(3, 0); H(-2, -3) C) G(3, 0); H(-3, -2) D) G(0, 3); H(-3, -2) 6 D Write the improper fraction as a mixed number. 17 82) 6 78) R y 6 4 A) 1 5 6 B) 3 5 6 C) 2 5 7 D) 2 5 6 2 -6 -4 -2 -2 S 2 4 6 x Find the perimeter (or circumference) and area of the figure. 83) -4 -6 A) R(-4, 7); S(0, -2) B) R(7, -4); S(0, -2) C) R(7, -4); S(-2, 0) D) R(-4, 7); S(-2, 0) 2 yd 9 yd Find the unknown diameter or radius as indicated. 79) A) perimeter = 14 yd area = 18 sq yd B) perimeter = 22 yd area = 36 sq yd C) perimeter = 22 yd area = 18 sq yd D) perimeter = 11 yd area = 36 sq yd r = 1.6 yd d=? A) 5.024 yd C) 0.8 yd 84) Give the exact value and an approximation using π ≈ 3.14. B) 8.04 yd D) 3.2 yd 12.5 yd Find the mean, median, and mode of the list of numbers. 80) 9, 10, 20, 20, 14, 12, 12, 13 A) mean: 13.75; median: 12.5; mode: 12 and 20 B) mean: 12.5; median: 13.75; no mode C) mean: 9.75; median: 17; no mode D) mean: 13.75; median: 13; mode: 16 A) circumference = 12.5π ≈ 78.50 yd area = 156.25π ≈ 490.63 sq yd B) circumference = 25π ≈ 78.50 yd area = 625π ≈ 157.00 sq yd C) circumference = 25π ≈ 78.50 yd area = 156.25π ≈ 490.63 sq yd D) circumference = 12.5π ≈ 78.50 yd area = 625π ≈ 1962.50 sq yd 81) 20, 29, 39, 40, 50 A) mean: 39; median: 40; no mode B) mean: 35.6; median: 39.5; mode: 39 C) mean: 35.6; no median; mode: 34 D) mean: 35.6; median: 39; no mode 7 Write the ratio or rate as a fraction in simplest form. 90) 18 inches of rain in 38 days 19 in. 18 in. A) B) 9 days 38 days 85) 4 in. C) 15 in. 7 in. A) perimeter = 88 in. area = 435 sq in. B) perimeter = 88 in. area = 235 sq in. C) perimeter = 55 in. area = 435 sq in. D) perimeter = 55 in. area = 235 sq in. C) C) 100 31 Find the unit rate. 93) 1205 miles in 50 hours A) 1155 mi/hr C) 241 mi/hr 87) Seven thousand and thirty-seven thousandths, in standard form A) 7000.0037 B) 7000.037 C) 700.037 D) 7000.37 1 in. 9 days D) 241 236 B) 31 10 D) 31 100 B) 0.041 mi/hr D) 24.1 mi/hr 94) A high school student created a remote control car that can travel 112 feet in 8 seconds. A) 14 sec/feet B) 8 feet/sec C) 14 feet/sec D) 112 feet/sec Write the fraction or mixed number as a percent. 9 88) 7 10 Find the unit price and decide which is the better buy. 95) Popcorn: 18 ounces for $4.64 6 ounces for $1.50 A) 6-oz size B) 18-oz size C) Both cost the same per ounce. B) 7.9% D) 790% 13 16 A) 84% C) 81.25% 472 482 92) 3.1 to 10 3.1 A) 10 Write the decimal as indicated. 86) 87.081, in words A) Eighty-seven and eighty-one ten-thousandths B) Eighty-seven and eighty-one thousandths C) Eighty-seven and eighty-one hundredths D) Eighty-seven and eighty-one tenths 89) D) 91) Lake County's smallest forest preserve is 472 acres. Orange County's smallest forest preserve is 482 acres. Find the ratio of the acreage of Lake County's forest preserve to Orange County's forest preserve. 236 482 A) B) 241 472 29 in. A) 0.79% C) 79% 9 in. 19 days B) 84.25% D) 82% Add or subtract as indicated. Write the answer as a mixed number in simplest form. 1 2 96) 20 + 8 5 3 8 A) 29 13 15 B) 28 13 15 C) 27 13 15 D) 20 13 15 Graph the linear equation. 97) y = 4x - 4 D) y 8 y 8 6 6 4 4 2 2 -8 -8 -6 -4 -2 2 4 6 8 -6 -4 -2 2 4 6 8 x -2 x -2 -4 -4 -6 -6 -8 -8 A) 98) x + y = -7 y -8 -6 -4 y 8 8 6 6 4 4 2 2 -2 2 4 6 8 x -8 -2 -6 -4 -2 2 4 6 8 x -2 -4 -4 -6 -6 -8 -8 B) A) y -8 -6 -4 y 8 8 6 6 4 4 2 2 -2 2 4 6 8 x -8 -2 -6 -4 -2 2 4 6 8 x 2 4 6 8 x -2 -4 -4 -6 -6 -8 -8 C) B) y -8 -6 -4 y 8 8 6 6 4 4 2 2 -2 2 4 6 8 x -8 -2 -6 -4 -2 -2 -4 -4 -6 -6 -8 -8 9 C) B) y -8 -6 -4 y 8 8 6 6 4 4 2 2 -2 2 4 6 8 x -8 -2 -6 -4 -2 2 4 6 8 x 2 4 6 8 x 2 4 6 8 x -2 -4 -4 -6 -6 -8 -8 D) C) y -8 -6 -4 y 8 8 6 6 4 4 2 2 -2 2 4 6 8 x -8 -2 -6 -4 -2 -2 -4 -4 -6 -6 -8 -8 D) 99) 6x + 2y = -12 y 8 y 8 6 6 4 4 2 2 -8 -8 -6 -4 -2 2 4 6 8 -6 -4 -2 -2 x -2 -4 -4 -6 -6 -8 -8 A) 100) y = -1 y -8 -6 -4 y 8 8 6 6 4 4 2 2 -2 2 4 6 8 x -8 -2 -6 -4 -2 2 -2 -4 -4 -6 -6 -8 -8 10 4 6 8 x A) 101) y = - y 1 x 3 8 y -8 -6 -4 6 8 4 6 2 4 -2 2 4 6 2 8 x -2 -8 -6 -4 -2 2 -4 -2 -6 -4 -8 -6 4 6 8 x -8 B) A) y 8 y -8 -6 -4 6 8 4 6 2 4 -2 2 4 6 2 8 x -2 -8 -6 -4 -2 -4 -2 -6 -4 -8 -6 2 4 6 8 x 2 4 6 8 x 2 4 6 8 x -8 C) B) y 8 y -8 -6 -4 6 8 4 6 2 4 -2 2 4 6 2 8 x -2 -8 -6 -4 -2 -4 -2 -6 -4 -8 -6 -8 D) C) y 8 y -8 -6 -4 6 8 4 6 2 4 -2 2 4 6 2 8 x -2 -8 -6 -4 -2 -4 -2 -6 -4 -8 -6 -8 11 Solve the proportion for the given variable. 0.9 1.8 108) = 5 n D) y 8 6 4 2 -8 -6 -4 -2 A) 10 B) 1 1 2 D) 9 C) 4 2 4 6 8 x 31 50 -2 -4 109) -6 -8 12 y = 6 1 3 A) Write the decimal as a percent. 102) 0.06 A) 60% C) 0.006% B) 0.6% D) 6% 110) 3 2 B) 92% D) 920% 111) 1 C) -284 2 D) B) 3 C) 5 D) 7 16 40 = x 72 A) 3 Write the decimal as a fraction or mixed number in simplest form. 104) -28.45 9 A) -28 B) -2845 20 C) 6 n 15 = 7 21 A) 4 103) 9.2 A) 0.92% C) 0.0092% 3 5 C) 28 4 5 B) 230 D) 2 5 5 144 Find the measures of x, y, and z in the figure. 112) 169 D) -2 200 105) 0.664 A) 83 12 B) 1 440,896 C) 83 125 D) 1 664 30° A) ∠x = 115° ∠y = 30° ∠z = 115° C) ∠x = 60° ∠y = 30° ∠z = 60° Write the fraction as a decimal. If necessary, round to the nearest thousandth. 8 106) 15 A) 0.532 C) 0.534 107) - B) 0.533 D) 0.333 13 25 A) -0.52 C) -0.58 B) -0.44 D) -0.32 12 2 3 B) 4 B) ∠x = 30° ∠y = 150° ∠z = 150° D) ∠x = 150° ∠y = 30° ∠z = 150° Add or subtract as indicated. Write the answer as a mixed number in simplest form. 2 1 113) 7 + 4 5 3 11 A) 12 15 11 B) 7 15 11 C) 11 15 11 D) 10 15 Evaluate the expression for the given replacement values. 1 1 118) x ÷ y; x = , y = 3 6 7 A) 7 132 B) C) 11 21 D) 18 119) -9x; x = - Find the measures of x, y, and z in the figure. 114) 1 132 6 7 5 8 A) - 45 8 B) 45 8 C) - 45 72 D) 5 72 15° Convert. Round to the nearest tenth of a degree, if necessary. 120) 109.4°C to degrees Fahrenheit A) 28.8°F B) 164.9°F C) 92.8°F D) 228.9°F A) ∠x = 15° ∠y = 15° ∠z = 15° C) ∠x = 15° ∠y = 165° ∠z = 15° B) ∠x = 165° ∠y = 15° ∠z = 165° D) ∠x = 15° ∠y = 165° ∠z = 165° 121) 33°F to degrees Celsius A) 91.4°C C) 50.3°C Find the average of the list of numbers. 122) -15, 3, -8, 7, -9, 2, -1 A) -2 B) -3 C) -1 Find the mean. If necessary, round to one decimal place. 115) 25, 49, 61, 44, 137, 89 A) 68 B) 81 C) 67 D) 67.5 Convert. 123) 15 mg to grams A) 0.015 g C) 1500 g Write the fraction in simplest form. 18 116) 30 3 A) 5 C) 117) - 3 B) 6 6 5 D) 18 30 65x 75 A) - 65x 75 B) - 5x 15 C) - 13x 15 D) - 13 15 B) 1.8°C D) 0.6°C 13 B) 15,000 g D) 0.15 g 124) 3.1 tons to pounds A) 620 lb C) 49.6 lb B) 6200 lb D) 3100 lb 125) 48 oz to pounds A) 768 lb C) 3.429 lb B) 3 lb D) 4 lb D) 1 Perform the indicated operation. Write the answer as a mixed number in simplest form. 1 3 126) 12 · 1 2 5 A) 21 C) 12 A new car dealership has taken an inventory 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. B) 15 1 10 Convert. 127) 0.13 L to milliliters A) 130 ml C) 13 ml D) 20 B) 0.00013 ml D) 0.0013 ml Solve the problem. 128) Raya has $208 in her checking account. She writes a check for $51, makes a deposit for $81, and then writes another check for $140. Represent the new balance in her account by an integer. A) -64 dollars B) 98 dollars C) 64 dollars D) -98 dollars 133) How many vehicles in stock are priced $20,999 or less? A) 20 vehicles B) 15 vehicles C) 55 vehicles D) 50 vehicles 129) City A has an elevation of 14,395 feet above sea level while City B has an elevation of 18,649 feet below sea level. Represent the difference in elevation between these two cities by an integer. A) 4254 ft B) 4354 ft C) 33,144 ft D) 33,044 ft 134) How many vehicles in stock are priced between $14,000 and $20,999? A) 3 vehicles B) 5 vehicles C) 10 vehicles D) 15 vehicles Write the percent as a decimal. 135) 0.5% A) 0.006 C) 0.5 Translate the phrase to an algebraic expression. Use x to represent "a number." 130) a. The product of a number and 10 b. Twice a number subtracted from 11 10 10 A) a. B) a. x x b. 11 - 2x b. 2x - 11 C) a. 10x b. 2x - 11 D) a. 10x b. 11 - 2x 136) 800% A) 8 C) 80 B) 800 D) 0.8 Find the square root and simplify. Round to the nearest thousandth if necessary. 25 137) 49 Round the decimal to the indicated place value. 131) 39.9029, nearest thousandth A) 39.902 B) 39.903 C) 39.9 D) 39.904 A) C) 132) 9.956, nearest tenth A) 9.96 C) 9.9 B) 0.005 D) 0.05 B) 10.0 D) 10.1 14 5 7 B) 5 49 D) 7 5 25 7 Provide an appropriate response. 138) Find the supplement of a 24° angle. A) 66° B) 156° C) 246° D) 336° A) (0, -6), (1, -3), (-1, -9) 10 5 139) Simplify: -5(3z + 2) - z - 11 A) -14z - 21 B) -16z + 21 C) -14z + 1 D) -16z - 21 -10 -5 5 10 5 10 5 10 5 10 (1, -3) -5 140) Find the complement of a 53° angle. A) 307° B) 127° C) 217° D) 37° -10 (0, -6) (-1, -9) B) (0, 0), (1, 6), (-1, -6) 141) Find the measure of ∠x. 10 5 (1, 6) (0, 0) -10 37° A) 48° C) 143° -5 -5(-1, -6) B) 53° D) 108° -10 142) Multiply: -4(8y + 6) A) -32y - 24 C) -56y C) (0, 6), (1, 3), (-1, 9) B) 4y + 2 D) -12y - 10 10 (-1, 9) (0, 6) 5 143) Simplify 8x + 3 - 3x + 7 by combining like terms. A) 15 B) 5x + 10 C) 11x + 10 D) 15x (1, 3) -10 -5 Complete and graph the ordered-pair solutions of the given equation. 144) y = 3x + 6; (0, ), (1, ), (-1, ) -5 -10 10 D) (0, 6), (1, 9), (-1, 3) 10 5 5 (1, 9) (0, 6) (-1, 3) -10 -5 5 10 -10 -5 -5 -5 -10 -10 15 145) x = 6y; ( , 4), (0, ), (-24, ) C) (4, 24), (0, 0), (-4, -24 ) y 50 y (4, 24) 25 x -10 (0, 0) -5 (-4, -24) 5 x 25 x -25 -50 A) (24, 4), (0, 0), (-24 , -4) D) (24, -4), (0, 0), (-24 , 4) y 10 5 10 (24, 4) (-24, 4) y 5 (0, 0) -50 (0, 0) -25 (-24, -4) 25 x -50 -25 -5 -5 -10 -10 (24, -4) B) (10, 4), (0, 6), (-24, 4) 10 Perform the indicated operation. Round the result to the nearest thousandth if necessary. 146) (-0.00804) ÷ (-0.52) A) 0.015 B) 64.677 C) -0.015 D) 0.004 y (0, 6) (-24, 4) 5 (10, 4) -25 25 x 147) 2.283 + 3.82 + 10.277 A) 8.74 C) -4.174 B) 17.307 D) 16.38 148) 9.4 × 4.23 A) 30.362 C) 39.762 B) 5.17 D) 13.63 -5 -10 Find the prime factorization of the number. 149) 252 A) 3 4 · 7 B) 2 4 · 7 C) 2 3 · 3 2 · 7 16 D) 2 2 · 3 2 · 7 Perform the indicated operation. Write the answer as a mixed number in simplest form. 1 1 155) 40 · 1 2 3 150) 198 A) 2 2 · 3 2 · 11 B) 22 · 3 2 D) 2 · 3 2 · 11 C) 2 · 3 · 11 Find the volume of the solid. 22 151) Use π ≈ . 7 A) 42 B) 40 C) 54 D) 55 1 6 7 cm Find the perimeter and area of the figure. 156) 17 cm 6 foot 13 1 A) 654 cu cm 2 B) 2618 cu cm C) 154 cu cm 1 D) 38 cu cm 2 1 foot 9 A) perimeter: 67 3 ft; area: sq ft 117 26 B) perimeter: 1 17 1 ft; area: sq ft 117 36 C) perimeter: 1 17 2 ft; area: sq ft 117 39 D) perimeter: 1 17 2 in; area: sq ft; 117 39 152) 5 ft 1 ft 9 ft A) 135 cu ft C) 5 cu ft Simplify the complex fraction. 157) 6x 17 B) 15 cu ft D) 45 cu ft 2x2 17 Translate the phrase into a mathematical expression. If needed, use x to represent "a number." 153) Five times a number, subtracted from -9. A) 9 - 5x B) 5x - 9 C) -9 - 5x D) 5x - (-9) 154) The sum of -39 and a number. A) -39 B) -39x C) -39 + x D) -39 - x A) 3x 1 B) 12x 289 C) 3 1x D) 1 3x A) 108 5 B) 132 5 C) 5 108 D) 108 35 158) 17 6- 3 5 1- 3 4 Use the circle graph to solve the problem. 159) The circle graph summarizes the results of a survey in which 2500 adults were asked their favorite movie category. How many of the survey respondents said that they favor action movies? Round to the nearest whole number. A) 668 respondents B) 3050 respondents C) 838 respondents D) 763 respondents Find the perimeter of the figure. 160) Parallelogram 8.9 m 2.7 m A) 11.6 m C) 23.2 m B) 20.5 m D) 14.3 m 18 Answer Key Testname: SAMPLEFINAL 1) B 2) B 3) D 4) A 5) A 6) D 7) C 8) A 9) B 10) B 11) C 12) D 13) A 14) B 15) B 16) B 17) A 18) A 19) C 20) C 21) B 22) C 23) B 24) D 25) C 26) B 27) C 28) C 29) B 30) B 31) D 32) A 33) C 34) A 35) B 36) B 37) A 38) D 39) A 40) A 41) D 42) C 43) C 44) A 45) B 46) B 47) D 48) C 49) D 50) D 19 Answer Key Testname: SAMPLEFINAL 51) B 52) B 53) C 54) D 55) C 56) D 57) A 58) A 59) A 60) B 61) A 62) C 63) A 64) B 65) B 66) A 67) C 68) B 69) C 70) B 71) C 72) A 73) A 74) B 75) B 76) B 77) A 78) A 79) D 80) A 81) D 82) D 83) C 84) C 85) B 86) B 87) B 88) D 89) C 90) C 91) A 92) D 93) D 94) C 95) A 96) B 97) C 98) B 99) B 100) D 20 Answer Key Testname: SAMPLEFINAL 101) 102) 103) 104) 105) 106) 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) C D D A C B A A D C C D C A D A C A B D D B A B B D A B D D B B A D B A A B D D B A B D A A D C D D 21 Answer Key Testname: SAMPLEFINAL 151) 152) 153) 154) 155) 156) 157) 158) 159) 160) A D C C C C C A D C 22
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