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All Textbook Solutions for PREALGEBRA

In the following exercises, convert between U.S. units. Round to the nearest tenth 371. A playground is 45 feet wide Convert the width to yards.In the following exercises, convert between U.S. units. Round to the nearest tenth The height of Mount Shasta is 14,179 feet. Convert the height to miles.In the following exercises, convert between U.S. units. Round to the nearest tenth 373. Shamu weighs 4.5 tons Convert the weight to pounds.In the following exercises, convert between U.S. units. Round to the nearest tenth. 374. The play lasted 134 hours. Convert the time to minutes.In the following exercises, convert between U.S. units. Round to the nearest tenth. How many tablespoons are in a quart?In the following exercises, convert between U.S. units. Round to the nearest tenth. 376. Naomi's baby weighed 5 pounds 14 ounces at birth. Convert the weight to ounces.In the following exercises, convert between U.S. units. Round to the nearest tenth. 377. Trinh needs 30 cups of paint for her class art project. Convert the volume to gallons.In the following exercises , solve , and state your answer in mixed units. 378. John caught 4 lobsters. The weights of the lobsters were 1 pound 9 ounces, 1 pound 12 ounces, 4 pounds 2 ounces, and 2 pounds 15 ounces. What was the total weight of the lobsters?In the following exercises , solve , and state your answer in mixed units Every day last week, Pedro recorded the amount of time he spent reading. He read for 50, 25, 83, 45, 32; 60, and 135 minutes. How much time, in hours and minutes, did Pedro spend reading?In the following exercises, solve, and state your answer in mixed units. 380. Fouad is 6 feet 2 inches tall. If he stands on a rung of a ladder 8 feet 10 inches high, how high off the ground is the top of Fouad's head?In the following exercises, solve, and state your answer in mixed units. 381. Dalila wants to make pillow covers. Each cover takes 30 inches of fabric. How many yards and inches of fabric does she need for 4 pillow covers?In the following exercises , convert between metric units . 382. Donna is 1.7 meters tall. Convert her height to centimeters.In the following exercises, convert between metric units . Mount Everest is 8,850 meters tall. Convert the height to kilometers.In the following exercises, convert between metric units. 384. One cup of yogurt contains 488 milligrams of calcium. Convert this to grams. In the following exercises, convert between metric units,In the following exercises, convert between metric units. One cup of yogurt contains 13 grams of protein. Convert this to milligrams.In the following exercises, convert between metric units. 386. Sergio weighed 2.9 kilograms at birth. Convert this to grams.In the following exercises, convert between metric units. 387. A bottle of water contained 650 milliliters. Convert this to liters. In the following exercises, solve.In the following exercises, solve. Minh is 2 meters tall. His daughter is 88 centimeters tall. How much taller, in meters, is Minh than his daughter? In the following exercises, solve.In the following exercises, solve. Selma had a 1-liter bottle of water. If she drank 145 milliliters, how much water, in milliliters, was left in the bottle?In the following exercises , solve. 390. One serving of cranberry juice contains 30 grams of sugar. How many kilograms of sugar are in 30 servings of cranberry juice?In the following exercises, solve. 391. One ounce of tofu provides 2 grams of protein. How many milligrams of protein are provided by 5 ounces of tofu?In the following exercises, convert between U.S. and metric units. Round to the nearest tenth. Majid is 69 inches tall. Convert his height to centimeters.In the following exercises, convert between U.S. and metric units. Round to the nearest tenth. 393. A college basketball court is 84 feet long. Convert this length to meters.In the following exercises, convert between U.S. and metric units. Round to the nearest tenth. 394. Caroline walked 2.5 kilometers. Convert this length to miles.In the following exercises, convert between U.S. and metric units. Round to the nearest tenth. 395. Lucas weighs 78 kilograms. Convert his weight to pounds.In the following exercises, convert between U.S. and metric units. Round to the nearest tenth. 396. Steve's car holds 55 liters of gas. Convert this to gallons.In the following exercises, convert between U.S. and metric units. Round to the nearest tenth. 397. A box of books weighs 25 pounds. Convert this weight to kilograms.In the following exercises, convert the Fahrenheit temperatures to degrees Celsius. Round to the nearest tenth. 398. 95ºF In the following exercises, convert the Fahrenheit temperatures to degrees Celsius. Round to the nearest tenth. 399. 23ºF In the following exercises, convert the Fahrenheit temperatures to degrees Celsius. Round to the nearest tenth. 400 20ºF In the following exercises, convert the Fahrenheit temperatures to degrees Celsius. Round to the nearest tenth. 401. 64ºF In the following exercises, convert the Fahrenheit temperatures to degrees Celsius. Round to the nearest tenth. 402. 30ºC In the following exercises, convert the Fahrenheit temperatures to degrees Celsius. Round to the nearest tenth. 403. -5ºC In the following exercises, convert the Fahrenheit temperatures to degrees Celsius. Round to the nearest tenth. 104. -12ºC In the following exercises, convert the Fahrenheit temperatures to degrees Celsius. Round to the nearest tenth. 405. 24ºC PRACTICE TEST 406. For the numbers 0,18349..., 0.2, 1,67, list the (a) rational numbers and (b) irrational numbers.PRACTICE TEST 407. Is 144 rational or irrational?PRACTICE TEST 408. From the numbers -4, 1^, 0, J-, V2, 7, which are (a) integers (b) rational (c) irrational (d) real numbers?PRACTICE TEST 409. Rewrite using the commutative property: x · 14 =_________PRACTICE TEST 410. Rewrite the expression using the associative property: (y+6) + = _______________PRACTICE TEST 411. Rewrite the expression using the associative property: (8·2)· 5=_______________PRACTICE TEST 412. Evaluate 316(163n) when n = 42.PRACTICE TEST 413. For the number 25 find the (a) additive inverse (b) multiplicative inverse.In the following exercises, simplify the given expression. 414. 34(29)(43)In the following exercises, simplify the given expression. 415. 3+15y+3 In the following exercises, simplify the given expression. 416. (1.27q+0.25q)+0.75q In the following exercises, simplify the given expression, 417. (815+29)+79 In the following exercises, simplify the given expression, 418. 18(32n)In the following exercises, simplify the given expression. 419. 14y+(6z)+16y+2z In the following exercises, simplify the given expression. 420. 9(q+9)In the following exercises, simplify the given expression. 421. 6(5x4)In the following exercises, simplify the given expression. 422. 10(0.4n+0.7)In the following exercises, simplify the given expression. 423. 14(8a+12)In the following exercises, simplify the given expression. 424. m(n+2)In the following exercises, simplify the given expression. 425. 8(6p1)+2(9p+3)In the following exercises, simplify the given expression. 426. (12a+4)(9a+6)In the following exercises, simplify the given expression. 427. 08 In the following exercises, simplify the given expression. 428. S 4.50 In the following exercises, simplify the given expression. 429. 0(23)In the following exercises solve using the appropriate unit conversions. 430. Azize walked 412 miles. Convert this distance to feet. (1 mile = 5,280 feet).In the following exercises solve using the appropriate unit conversions. One cup of milk contains 276 milligrams of calcium. Convert this to grams. (1 milligram = 0.001 gram)In the following exercises solve using the appropriate unit conversions. Larry had 5 phone customer phone calls yesterday. The calls lasted 28, 44, 9? 15, and 55 minutes. How much time, in hours and minutes, did Larry spend on the phone? (1 hour = 60 minutes)In the following exercises solve using the appropriate unit conversions. Janice ran 15 kilometers. Convert this distance to miles. Round to the nearest hundredth of a mile. (1 mile = 1.61 kilometers)In the following exercises solve using the appropriate unit conversions. Yolie is 63 inches tall. Convert her height to centimeters. Round to the nearest centimeter. (1 inch = 2,54 centimeters)In the following exercises solve using the appropriate unit conversions. 435. Use the formula F=95C+32 to convert 35°C to degrees F.TRY IT::8.1 Is y = 2/3 a solution for 9y+2=6y? TRY IT:: 8.2 Is y=2/5 a solution for 5y—3= 10y? TRY IT::8.3 Solve: x +9 = —7. TRY IT::8.4 Solve: x + 16= —4. TRY IT::8.5 Solve: n — 6 = —7. TRY IT:: 8.6 Solve: X — 5 = —9. TRY IT:: 8.7 Solve: p – 1/3 = 5/6 TRY IT::8.8 Solve: q – 1/2 = 1/6 TRY IT::8.9 Solve: b — 2.8 = 3.6. TRY IT::8.1O Solve: c—6.9=7.1. TRY IT:: 8.11 Solve: 8y—4—7y—7=4. TRY IT:: 8.12 Solve: 6z+5—5z—4=3. TRY IT:: 8.13 Solve: 5(p-3)- 4p = -10 TRY TT::8.14 Solve: 4(q+2) —3q = —8. TRY IT:: 8.15 Solve: 4(2h—3)—7h= -6—7. TRY IT::8.16 Solve: 2(Sx+2)—9x= —2+7. TRY IT:: 8.17 Translate and solve: Eleven more than x is equal to 41. TRY IT:: 8.18 Translate and solve: Twelve less than y is equal to 51. TRY IT:: 8.19 Translate and solve: The difference of 4x and 3x is 14. TRY IT:: 8.20 Translate and solve: The difference of 7a and 6a is -8. TRY IT:: 8.21 Translate into an algebraic equation and solve: The Pappas family has two cats, Zeus and Athena. Together, they weigh 13 pounds. Zeus weighs 6 pounds. How much does Athena weigh? TRY IT:: 8.22 Translate into an algebraic equation and solve: Sam and Henry are roommates. Together, they have 68 books. Sam has 26 books. How many books does Henry have? TRY IT :: 8.23 Translate into an algebraic equation and solve: Eddie paid $19.875 for his new car. This was $1,025 less than the sticker price. What was the sticker price of the car? TRY IT :: 8.24 Translate into an algebraic equation and solve: The admission price for the movies during the day is $7.75. This is $3.25 less than the price at night. How much does the movie cost at night? Practice Makes Perfect Solve equations Using the Subtraction and Addition Properties of Equality In the following exercises, determine whether the given value is a solution to the equation. 1. Is y = 1/3 a solution of 4y+2= 10y? Practice Makes Perfect Solve equations Using the Subtraction and Addition Properties of Equality In the following exercises, determine whether the given value is a solution to the equation. 2. Is x=3/4 a solution of 5x+3=9x? Practice Makes Perfect Solve equations Using the Subtraction and Addition Properties of Equality In the following exercises, determine whether the given value is a solution to the equation. 3. Is u=1/2 a solution of 8u-1 =6u? Practice Makes Perfect Solve equations Using the Subtraction and Addition Properties of Equality In the following exercises, determine whether the given value is a solution to the equation. 4. is v = 1/3 a solution of 9v—2= 3v? In the following exercises, solve each equation. 5. x+7= 12 In the following exercises, solve each equation. 6. y+5= —6 In the following exercise, solve each equation. 7. b + 1/4 = 3/4 In the following exercises, solve each equation. 8. a + 2/5 = 4/5 In the following exercises, solve each equation. 9. p+2.4= —9.3 In the following exercises, solve each equation. 10 m+7.9 = 11.6 In the following exercises, solve each equation. 11. a — 3 = 7 In the following exercises, solve each equation. 12. m —8 = —20 In the following exercises, solve each equation. 13. x—1/3 = 2 In the following exercises, solve each equation. 14. x – 1/5 = 4 In the following exercises, solve each equation. 15 y—3.8 = l0 In the following exercises, solve each equation. 16. y —7.2 = 5 In the following exercises, solve each equation. 17. x—15= —42 In the following exercises, solve each equation. 18 z+5.2= —8.5 In the following exercises, solve each equation. 19. q +3/4 = 1/2 In the following exercises, solve each equator. 20. p – 2/5 = 2/3 In the following exercises, solve each equation. 21. y – 3/4 = 3/5 Solve Equations that Need to be Simplified In the following exercises, solve each equation. 22. c+3 — 10= 18 Solve Equations that Need to be Simplified In the following exercises, solve each equation. 23. m+6—8 = 15 Solve Equations that Need to be Simplified In the following exercises, solve each equation. 24. 9x+5—8x+14=20 Solve Equations that Need to be Simplified In the following exercises, solve each equation. 25. 6x-+-8—5x-t-16=32 Solve Equations that Need to be Simplified In the following exercises, solve each equation. 26. —6x—ll+7x—5= —16 Solve Equations that Need to be Simplified In the following exercises, solve each equation. 27. —8n— 17+9n—4 = —41 Solve Equations that Need to be Simplified In the following exercises, solve each equation. 28. 3(y—5) —2y = —7 Solve Equations that Need to be Simplified In the following exercises, solve each equation. 29. 4(y —2) — 3y = —6 Solve Equations that Need to be Simplified In the following exercises, solve each equation. 30. 8(u+ l.5)—7u = 4.9 Solve Equations that Need to be Simplified In the following exercises, solve each equation. 31. 5(w+2.2)—4w= 9.3 Solve Equations that Need to be Simplified In the following exercises, solve each equation. 32. —5(y-2)+6y= -7+4 Solve Equations that Need to be Simplified In the following exercises, solve each equation. 33. —8(x—1) + 9x = —3--9 Solve Equations that Need to be Simplified In the following exercises, solve each equation. 34. 3(5n—l)—14n+9 = 1—2 Solve Equations that Need to be Simplified In the following exercises, solve each equation. 35. 2(8m+3)— 15m—4 = 3—5 Solve Equations that Need to be Simplified In the following exercises, solve each equation. 36. -(j+2)+2j—l=5 Solve Equations that Need to be Simplified In the following exercise, solve each equation. 37. -(k+7)+2k+8=7 Solve Equations that Need to be Simplified In the following exercises, solve each equation. 38. 6a—5(a—2)+9 = —11 Solve Equations that Need to be Simplified In the following exercises, solve each equation. 39. 8c—7(c—3)+4= -16 Solve Equations that Need to be Simplified In the following exercise, solve each equation. 40. 8(4x+5) — 5(6x) — = 53 Solve Equations that Need to be Simplified In the following exercises, solve each equation. 41. 6(9y — 1) — 1O(5y) — = 22 Translate to an Equation and Solve In the following exercises, translate to on equation and then solve. 42. Five more than X is equal to 21. Translate to an Equation and Solve In the following exercise, translate to on equation and then solve. 43. The sum of X and —5 is 33. Translate to an Equation and Solve In the following exercise, translate to on equation and then solve. 44. Ten less than m is —14. Translate to an Equation and Solve In the following exercises, translate to on equation and then solve. 45. Three less than y is —19. Translate to an Equation and Solve In the following exercises, translate to on equation and then solve. 46. The sum of y and —3 s 40. Translate to an Equation and Solve In the following exercises, translate to on equation and then solve. 47. Eight more than p is equal to 52. Translate to an Equation and Solve In the following exercises, translate to on equation and then solve. 48. The difference of 9x and ßx is 17. Translate to an Equation and Solve In the following exercises, translate to on equation and then solve. 49. The difference of 5c and 4c is 60. Translate to an Equation and Solve In the following exercise, translate to an equation and then solve. 50. The difference of n and 1/6 is 1/2. Translate to an Equation and Solve In the following exercises, translate to on equation and then solve. 51. The difference of f and 1/3 is 1/12. Translate to an Equation and Solve In the following exercises, translate to on equation and then solve. 52. The sum of —4n and 5n is —32. Translate to an Equation and Solve In the following exercises, translate to an equation and then solve. 53. The sum of —9m and 10m is —25. Translate to an Equation and Solve In the following exercises, translate to on equation and then solve. 54. Pilar drove from home to school and then to her aunt’s house, a total of 18 miles. The distance from Pilar’s house to school is 7 miles. What is the distance from school to her aunt’s house? Translate and Solve Applications In the following exercises, translate into on equation and solve. 55. Jeff read a total of 54 pages in his English and Psychology textbooks. He read 41 pages in his English textbook. How many pages did he read in his Psychology textbook? Translate to an Equation and Solve In the following exercises, translate to on equation and then solve. 56. Pablo’s father is 3 years older than his mother. Pablo’s mother is 42 years old. How old is his father? Translate to an Equation and Solve In the following exercises, translate to on equation and then solve. 57. Eva’s daughter is 5 years younger than her son. Eva’s son is 12 years old. How old is her daughter? Translate to an Equation and Solve In the following exercises, translate to on equation and then solve. 58. Allie weighs 8 pounds less than her twin sister Lorrie. Allie weighs 124 pounds. How much does Lorrie weigh? Translate to an Equation and Solve In the following exercises, translate to on equation and then solve. 59. For a family birthday dinner, Celeste bought a turkey that weighed 5 pounds less than the one she bought for Thanksgiving. The birthday dinner turkey weighed 16 pounds. How much did the Thanksgiving turkey weigh? Translate to an Equation and Solve In the following exercises, translate to on equation and then solve. 60. The nurse reported that Tricia’s daughter had gained 4.2 pounds since her last checkup and now weighs 31.6 pounds. How much did Tricia’s daughter weigh at her last checkup? Translate to an Equation and Solve In the following exercises, translate to on equation and solve. 61. Connors temperature was 0.7 degrees higher this morning than it had been last night. His temperature this morning was 101.2 degrees. What was his temperature last night? Translate to an Equation and Solve In the following exercises, translate to on equation and solve. 62. Melissa’s math book cost $22.85 less than her art book cost. Her math book cost $93.75. How much did her art book cost? Translate and Solve Applications In the following exercises, translate into on equation and solve. 63. Ron’s paycheck this week was $17.43 less than his paycheck last week. His paycheck this week was $103.76. How much was Ron’s paycheck last week? Everyday Math 64. Baking Kelsey needs 2/3 cup of sugar for the cookie recipe she wants to make. She only has 1/4 cup of sugar and will borrow the rest from her neighbor. Let s equal the amount of sugar she will borrow. Solve the equation 1/4 + s = 2/3 to find the amount of sugar she should ask to borrow. Everyday Math 65. Construction Miguel wants to drill a hole for a 5/8 inch screw. The screw should be 1/12 inch larger than the hole. Let d equal the size of the hole he should drill. Solve the equation d + 1/12 = 5/8 to see what size the hole should be. Writing Exercises 66. Is —18 a solution to the equation 3x = 16 — 5x? How do you know? Writing Exercises 67. Write a word sentence that translates the equation y — 18 = 41 and then make up an application that uses this equation in its solution. TRY IT :: 8.25 Solve: 3y = —48. TRY IT :: 8.26 Solve 4z = —52. TRY IT :: 8.27 Solve: b/-6 —24. TRY IT :: 8.28 Solve: c/-8 = -16. TRY IT :: 8.29 Solve: —k = 8. TRY IT :: 8.30 Solve: —g = 3. TRY IT:: 8.31 Solve: 2/5m = 14. TRY IT :: 8.32 Solve: 5-6y = 15. TRY IT::8.33 Solve: 7x + 6x — 4x = -8 + 26. IRY IT:: 8.34 5olve 11n—3n—6n=7—17. TRY IT :: 8.35 Solve 18—27 = 15c — 9c — 3c. TRY IT::8.36 Solve: 18—22 12x—x—4x. TRY IT :: 8.37 Solve: —4(n-2)—8=24. TRY IT :: 8.38 Solve: —6(n — 2) — 12 = 30. Practice Makes Perfect Solve Equations Using the Division and Multiplication Properties of equality In the following exercises, solve each equation for the variable using the Division Property of Equality and check the solution. 68. 8x=32 Practice Makes Perfect Solve Equations Using the Division and Multiplication Properties of equality In the following exercises, solve each equation for the variable using the Division Property of Equality and check the solution. 67. 7p =63 Practice Makes Perfect Solve Equations Using the Division and Multiplication Properties of equality In the following exercises, solve each equation for the variable using the Division Property of Equality and check the solution. 70. —Sc=55 Practice Makes Perfect Solve Equations Using the Division and Multiplication Properties of equality In the following exercises, solve each equation for the variable using the Division Property of Equality and check the solution. 71. —9x = —27 Practice Makes Perfect Solve Equations Using the Division and Multiplication Properties of equality In the following exercises, solve each equation for the variable using the Division Property of Equality and check the solution. 72. -90=6y Practice Makes Perfect Solve Equations Using the Division and Multiplication Properties of equality In the following exercises, solve each equation for the variable using the Division Property of Equality and check the solution. 73. —72 = 12y Practice Makes Perfect Solve Equations Using the Division and Multiplication Properties of equality In the following exercises, solve each equation for the variable using the Division Property of Equality and check the solution. 74. —l6p = —64 Practice Makes Perfect Solve Equations Using the Division and Multiplication Properties of equality In the following exercises, solve each equation for the variable using the Division Property of Equality and check the solution. 75. —8m = -56 Practice Makes Perfect Solve Equations Using the Division and Multiplication Properties of equality In the following exercises, solve each equation for the variable using the Division Property of Equality and check the solution. 76. O.25z = 3.25 Practice Makes Perfect Solve Equations Using the Division and Multiplication Properties of equality In the following exercises, solve each equation for the variable using the Division Property of Equality and check the solution. 77. O.75a = 11.25 Practice Makes Perfect Solve Equations Using the Division and Multiplication Properties of equality In the following exercises, solve each equation for the variable using the Division Property of Equality and check the solution. 78. —3x=O Practice Makes Perfect Solve Equations Using the Division and Multiplication Properties of equality In the following exercises, solve each equation for the variable using the Division Property of Equality and check the solution. 79. 4x = O In the following exercises, solve each equation for the variable using the Multiplication Property of Equality and check the solution. 80. x/4=15 In the following exercises, solve each equation for the variable using the Multiplication Property of Equality and check the solution. 81. z/2 = 14 In the following exercises, solve each equation for the variable using the Multiplication Property of Equality and check the solution. 82. -20=q/-5 In the following exercises, solve each equation for the variable using the Multiplication Property of Equality and check the solution. 83. c/-3 = -12 In the following exercises, solve each equation for the variable using the Multiplication Property of Equality and check the solution. 84. y/9 = -6 In the following exercises, solve each equation for the variable using the Multiplication Property of Equality and check the solution. 85. q/6 = -8 In the following exercises, solve each equation for the variable using the Multiplication Property of Equality and check the solution. 86. m/-12 = 5 In the following exercises, solve each equation for the variable using the Multiplication Property of Equality and check the solution. 87. -4 = p/-20 In the following exercises, solve each equation for the variable using the Multiplication Property of Equality and check the solution. 88. 2/3y = 18 In the following exercises, solve each equation for the variable using the Multiplication Property of Equality and check the solution. 89. 3/5r = 15 In the following exercises, solve each equation for the variable using the Multiplication Property of Equality and check the solution. 90. -5/8w = 40 In the following exercises, solve each equation for the variable using the Multiplication Property of Equality and check the solution. 91. 24= —3/4x In the following exercises, solve each equation for the variable using the Multiplication Property of Equality and check the solution. 92. -2/5 = 1/10a In the following exercises, solve each equation for the variable using the Multiplication Property of Equality and check the solution. 93. -1/3q = -5/6 Solve Equations That Need to be simplified In the following exercises, solve the equation. 94. 8a+3a—6a = -17+27 Solve Equations That Need to be simplified In the following exercises, solve the equation. 95. 6y — 3y + 12y = —43 + 28 Solve Equations That Need to be simplified In the following exercises, solve the equation. 96. —9x—9x+2x—S0—2 Solve Equations That Need to be simplified In the following exercises, solve the equation. 97. —5m+7m—8m = —6+36 Solve Equations That Need to be simplified In the following exercises, solve the equation. 98. 100 — 16 = 4p — 10p — p Solve Equations That Need to be simplified In the following exercises, solve the equation. 99. -18—7=5t—9t —6t Solve Equations that Need to be simplified In the following exercises, solve the equation. 78n34n=9+2 Solve Equations That Need to be simplified In the following exercises, solve the equation. 101. 5/12q + 1/2q = 25 -3 Solve Equations That Need to be simplified In the following exercises, solve the equation. 102. 0.25d + 0.10d = 6 — 0.75 Solve Equations That Need to be simplified In the following exercises, solve the equation. 103. 0.05p- 0.01p = 2+0.24 Everyday Math 104. Balloons Ramona bought 18 balloons for a party. She wants to make 3 equal bunches. Find the number of balloons in each bunch, b, by solving the equation 3b = 18. Everyday Math 105. Teaching Connie’s kindergarten class has 24 children. She wants them to get into 4 equal groups. Find the number of children in each group, g. by solving the equation 4g — 24. Everyday Math 106. Ticket price Dana paid $36.25 for 5 children’s tickets at the ice skating rink. Find the price of each ticket p, by solving the equation 5p = 6.25. Everyday Math 107. Unit price Nishant paid $12.96 for a pack of 12 juice bottles. Find the price of each bottle, b, by solving the equation 12b = 12.96. Everyday Math 108. Fuel economy Tania’s SUV gets half as many miles per gallon (mpg) as her husband’s hybrid car. The SUV gets 18 mpg. Find the miles per gallons, m, of the hybrid car, by solving the equation 1/2m = 18. Everyday Math 109. Fabric The drill team used 14 yards of fabric to make flags for one-third of the members. Find how much fabric1, f, they would need to make flags for the whole team by solving the equation 1/3f = 14. Writing Exercises 110. Frida started to solve the equation —3x = 36 by adding 3 to both sides. Explain why Frida’s method will result in the correct solution. Writing Exercises 11. Emilliano thinks x = 40 is the solution to the equation 1/2x = 8O. Explain why he is wrong. TRY IT::8.39 Solve: 3x + 4 = —8. TRY IT::8.40 Solve: 5a + 3 = —37. TRY IT::8.43 Solve: 6n = 5n + 10. TRY IT::8.42 Solve: 3m —8 = 19. TRY IT::8.43 Solve: 6n = 5n + 10. TRY IT::8.44 Solve: —6c = —7c + 1. TRY IT::8.45 Solve: 3p — 14 = 5p. TRY IT::8.46 Solve: 8m + 9 = 5m. TRY IT::8.47 Solve: 12j = —4j + 32. TRY IT::8.48 Solve: 8h = —4h + 12. TRY IT::8.49 Solve: 12x + 8 = 6x + 2. TRY IT::8.50 Solve: 9y + 4 = 7y + 12. TRY IT::8.51 Solve: 8q — 5 = —4q + 7. TRY IT::8.52 Solve: 7n — 3 = n + 3. TRY IT::8.53 Solve: 2a — 2 = 6a + 18. TRY IT::8.54 Solve: 4k — 1 = 7k + 17. TRY IT::8.55 Solve: 7/8x — 12 = —1/8x — 2. TRY IT:: 8.56 Solve: 7/6y + 11 = 1/6y + 8. TRY IT::8.57 Solve: 2.8x + 12 = —1.4x — 9. TRY IT::8.58 Solve: 3.6y + 8 = 1.2y — 4. TRY IT::8.59 Solve: 5(x+3) = 35. TRY IT::8.60 Solve: 6(y—4) = —18. TRY IT::8.61 Solve: —(y+8) = —2. TRY IT::8.62 Solve: —(z+4)= —12. TRY IT::8.63 Solve: 2(a—4) + 3 = —1. TRY IT::8.64 Solve: 7(n—3)—8 = —15. TRY IT::8.65 Solve: 12—3(4j+3) = —17. TRY IT::8.66 Solve: —6 —8(k—2) = —10. TRY IT::8.67 Solve: 6(p—3) —7 = 5(4p + 3) — 12. TRY IT:: 8.68 Solve: 8(q + 1) — 5 = 3(2q — 4) — 1. TRY IT::8.69 Solve: 1/3(6u + 3) = 7 — u. TRY IT::8.70 Solve: 2/3(px-12) = 8 + 2x. TRY IT::8.71 Solve: O.55(100n + 8) = 0.6(85n + 14). TRY IT:: 8.72 Solve: 0.15(40m — 120) = 0.5(60m + 12). Practice Makes Perfect Solve an Equation with Constants on Both Sides In the following exercises, solve the equation for the variable. 112. 6x — 2 = 40 Practice Makes Perfect Solve an Equation with Constants on Both Sides In the following exercises, solve the equation for the variable. 113. 7x-8=34 Practice Makes Perfect Solve an Equation with Constants on Both Sides In the following exercises, solve the equation for the variable. 114. 11w+6=93 Practice Makes Perfect Solve an Equation with Constants on Both Sides In the following exercises, solve the equation for the variable. 115. 14y+7=91 Practice Makes Perfect Solve an Equation with Constants on Both Sides In the following exercises, solve the equation for the variable. 116. 3a+8 = —46 Practice Makes Perfect Solve an Equation with Constants on Both Sides In the following exercises, solve the equation for the variable. 117. 4m+9 = —23 Practice Makes Perfect Solve an Equation with Constants on Both Sides In the following exercises, solve the equation for the variable. 118. —50 = 7n — 1 Practice Makes Perfect Solve an Equation with Constants on Both Sides In the following exercises, solve the equation for the variable. 1190 —47 = 6b + 1 Practice Makes Perfect Solve an Equation with Constants on Both Sides In the following exercises, solve the equation for the variable. 12O. 25 = —9y + 7 Practice Makes Perfect Solve an Equation with Constants on Both Sides In the following exercises, solve the equation for the variable. 1210 29 = —8x — 3 Practice Makes Perfect Solve an Equation with Constants on Both Sides In the following exercises, solve the equation for the variable. 122. —12p—3 = 15 Practice Makes Perfect Solve an Equation with Constants on Both Sides In the following exercises, solve the equation for the variable. 123. —14q — 15 = 13 Practice Makes Perfect Solve an Equation with Constants on Both Sides In the following exercises, solve the equation for the variable. 124. 8z=7z—7 Solve an Equation with Variables on Both Sides In the following exercises, solve the equation for the variable. 125. 9k = 8k — 11 Solve an Equation with Variables on Both Sides In the following exercises, solve the equation for the variable. 126. 4x+36 = 10x Solve an Equation with Variables on Both Sides In the following exercises, solve the equation for the variable. 127. 6x + 27 = 9x Solve an Equation with Variables on Both Sides In the following exercises, solve the equation for the variable. 128. c = —3c — 20 Solve an Equation with Variables on Both Sides In the following exercises, solve the equation for the variable. 129. b = —4b — 15 Solve an Equation with Variables on Both Sides In the following exercises, solve the equation for the variable. 130. 5q = 44—6q Solve an Equation with Variables on Both Sides In the following exercises, solve the equation for the variable. 131. 7z=39—6z Solve an Equation with Variables on Both Sides In the following exercises, solve the equation for the variable. 132. 3y+1/2=2y Solve an Equation with Variables on Both Sides In the following exercises, solve the equation for the variable. 133. 8x + 3/4 = 7x Solve an Equation with Variables on Both Sides In the following exercises, solve the equation for the variable. 134. —12a—8 = 16a Solve an Equation with Variables on Both Sides In the following exercises, solve the equation for the variable. 135. —15r—8 = -11r Solve an Equation with variables and Constants on Both Sides In the following exercises, solve the equations for the variable. 136. 6x— 15 = 5x + 3 Solve an Equation with variables and Constants on Both Sides In the following exercises, solve the equations for the variable. 137. 4x -17 = 3x +2 Solve an Equation with variables and Constants on Both Sides In the following exercises, solve the equations for the variable. 138. 26 +8d = 9d + 11 Solve an Equation with variables and Constants on Both Sides In the following exercises, solve the equations for the variable. 139. 21 + 6f = 7f +14 Solve an Equation with variables and Constants on Both Sides In the following exercises, solve the equations for the variable. 140. 3p – 1 = 5p – 33 Solve an Equation with variables and Constants on Both Sides In the following exercises, solve the equations for the variable. 141. 8q – 5 = 5q -20 Solve an Equation with variables and Constants on Both Sides In the following exercises, solve the equations for the variable. 142. 4a + 5 = -a -40 Solve an Equation with variables and Constants on Both Sides In the following exercises, solve the equations for the variable. 143. 9c + 7 = 2c -37 Solve an Equation with variables and Constants on Both Sides In the following exercises, solve the equations for the variable. 144. 8y – 30 = -27 + 30 Solve an Equation with variables and Constants on Both Sides In the following exercises, solve the equations for the variable. 145. 12x – 17= –3x + 13 Solve an Equation with variables and Constants on Both Sides In the following exercises, solve the equations for the variable. 146. 2z – 4 = 23 – z Solve an Equation with variables and Constants on Both Sides In the following exercises, solve the equations for the variable. 147. 3y – 4 = 12 – y Solve an Equation with variables and Constants on Both Sides In the following exercises, solve the equations for the variable. 148. Solve an Equation with variables and Constants on Both Sides In the following exercises, solve the equations for the variable. 149. Solve an Equation with variables and Constants on Both Sides In the following exercises, solve the equations for the variable. 150. Solve an Equation with variables and Constants on Both Sides In the following exercises, solve the equations for the variable. 151. Solve an Equation with variables and Constants on Both Sides In the following exercises, solve the equations for the variable. 152. Solve an Equation with variables and Constants on Both Sides In the following exercises, solve the equations for the variable. 153. Solve an Equation with variables and Constants on Both Sides In the following exercises, solve the equations for the variable. 154. Solve an Equation with variables and Constants on Both Sides In the following exercises, solve the equations for the variable. 155. Solve an Equation with variables and Constants on Both Sides In the following exercises, solve the equations for the variable. 156. 14n + 825 = 9n + 19.60 Solve an Equation with variables and Constants on Both Sides In the following exercises, solve the equations for the variable. 157. 13z + 6.45.= 8z + 23.75 Solve an Equation with variables and Constants on Both Sides In the following exercises, solve the equations for the variable. 158. 2.4w -100 = 0.8w + 28 Solve an Equation with variables and Constants on Both Sides In the following exercises, solve the equations for the variable. 159. 2.74w – 80 = 1.2w + 10 Solve an Equation with variables and Constants on Both Sides In the following exercises, solve the equations for the variable. 160. 5.6 + 13.1 = 3.5r + 57.2 Solve an Equation with variables and Constants on Both Sides In the following exercises, solve the equations for the variable. 161. 6.6x – 18.9 = 3.4x + 54.7 Solve an Equation Using the General Strategy In the following exercises. solve the linear equation using the general strategy. 162. 5(x + 3) = 75 Solve an Equation Using the General Strategy In the following exercises, solve the linear equation using the general strategy. 163. 4(y+7) = 64

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