Bartleby Sitemap - Textbook Solutions
All Textbook Solutions for Elementary Algebra
In the following exercises, solve. 417. At 6:30, Devon left her house and rode her bike on the flat road until 7:30. Then she started riding uphill and rode until 8:00. She rode a total of 15 miles. Her speed on the flat road was three miles per hour faster than her speed going uphill. Find Devon’s speed on the flat road and riding uphill.In the following exercises, solve. 418. Anthony drove from New York City to Baltimore, a distance of 192 miles. He left at 3:45 and had heavy traffic until 5:30. Traffic was light for the rest of the drive, and he arrived at 7:30. His speed in light traffic was four miles per hourmore than twice his speed in heavy traffic. Find Anthony’s driving speed in heavy traffic and light traffic.In the following exercises, solve. 419. Julianne has a weekly food budget of $231 for her family. If she plans to budget the same amount for each of the seven days of the week, what is the maximum amount she can spend on foodeach day?In the following exercises, solve. 420. Rogelio paints watercolors. He got a $100 gift card to the art supply store and wants to use it to buy 1216 canvases. Each canvas costs $10.99. What is the maximum number of canvases he can buy with his gift card?In the following exercises, solve. 421. Briana has been offered a sales job in another city. The offer was for $42,500 plus 8% of her total sales. In order to make it worth the move, Briana needs to have an annual salary of at least $66,500. What would her total sales need to be for her to move?In the following exercises, solve. 422. Renee’s car costs her $195 per month plus $0.09 per mile. How many miles can Renee drive so that her monthly car expenses are no more than $250?In the following exercises, solve. 423. Costa is an accountant. During tax season, he charges $125 to do a simple tax return. His expenses for buying software, renting an office, and advertising are $6,000. How many tax returns must he do if he wants to make a profit of at least $8,000?In the following exercises, solve. 424. Jenna is planning a 5-day resort vacation with three of her friends. It will cost her $279 for airfare, $300 for food and entertainment, and $65 per day for her share of the hotel. She has $550 saved towards her vacation and can earn $25 per hour as an assistant in her uncle’s photography studio. How many hours must she work in order to have enough money for her vacation?Four-fifths of the people on a hike are children. If there are 12 children, what is the total number of people on the hike?One number is three more than twice another. Their sum is 63 . Find the numbers.The sum of two consecutive odd integers is 96 . Find the numbers.Marla’s breakfast was 525 calories. This was 35% of her total calories for the day. How many calories did she have that day?Humberto’s hourly pay increased from $16.25 to $17.55. Find the percent increase.Melinda deposited $5,985 in a bank account with an interest rate of 1.9%. How much interest was earned in 2 years?Dotty bought a freezer on sale for $486.50. The original price of the freezer was $695. Find (a) the amount of discount and (b) the discount rate.Bonita has $2.95 in dimes and quarters in her pocket. If she has five more dimes than quarters, how many of each coin does she have?At a concert, $1,600 in tickets were sold. Adult tickets were $9 each and children’s tickets were $4 each. If the number of adult tickets was 30 less than twice the number of children’s tickets, how many of each kind were sold?Kim is making eight gallons of punch from fruit juice and soda. The fruit juice costs $6.04 per gallon and the soda costs $4.28 per gallon. How much fruit juice and how much soda should she use so that the punch costs $5.71 per gallon?The measure of one angle of a triangle is twice the measure of the smallest angle. The measure of the third angle is 14 more than the measure of the smallest angle. Find the measures of all three angles.What is the height of a triangle with area 277.2 square inches and base 44 inches?In the following exercises, use the Pythagorean Theorem to find the length of the missing side. Round to the nearest tenth, if necessary. 437.In the following exercises, use the Pythagorean Theorem to find the length of the missing side. Round to the nearest tenth, if necessary. 438.A baseball diamond is really a square with sides of 90 feet. How far is it from home plate to second base, as shown?The length of a rectangle is two feet more than five times the width. The perimeter is 40 feet. Find the dimensions of the rectangle.Two planes leave Dallas at the same time. One heads east at a speed of 428 miles per hour. The other plane heads west at a speed of 382 miles per hour. How many hours will it take them to be 2,025 miles apart?Leon drove from his house in Cincinnati to his sister’s house in Cleveland, a distance of 252 miles. It took him 412 hours. For the first half hour he had heavy traffic, and the rest of the time his speed was five miles per hour less than twice his speed in heavy traffic. What was his speed in heavy traffic?Chloe has a budget of $800 for costumes for the 18 members of her musical theater group. What is the maximum she can spend for each costume?Frank found a rental car deal online for $49 per week plus $0.24 per mile. How many miles could he drive if he wants the total cost for one week to be no more than $150?Plot each point in a rectangular coordinate system and identify the quadrant in which the point is located: (a) (2,1) (b) (3,1) (c) (4,4) (d) (4,4) (e) (4,32) .Plot each point in a rectangular coordinate system and identify the quadrant in which the point is located: (a) (4,1) (b) (2,3) (c) (2,5) (d) (2,5) (e) (3,52) .Plot each point: (a) (4,0) (b) (2,0) (c) (0,0) (d) (0,2) (e) (0,3) .Plot each point: (a) (5,0) (b) (3,0) (c) (0,0) (d) (0,1) (e) (0,4) .Name the ordered pair of each point shown in the rectangular coordinate system.Name the ordered pair of each point shown in the rectangular coordinate system.Which of the following ordered pairs are solutions to 2x+3y=6? (a)(3,0) (b) (2,0) (d) (6,2)Which of the following ordered pairs are solutions to the equation 4xy=8? (a) (0,8) (b) (2,0) (d) (1,4)Which of the following ordered pairs are solutions to the equation y=4x3? (a) (0,3) (b) (1,1) (d) (1,1)Which of the following ordered pairs are solutions to the equation y=2x+6? (a) (0,6) (b) (1,4) (d) (2,2)Complete the table to find three solutions to this equation: y=3x1 .Complete the table to find three solutions to this equation: y=6x+1 .Complete the table to find three solutions to this equation: 2x5y=20 .Complete the table to find three solutions to this equation: 3x4y=12 .Find three solutions to this equation: y=2x+3 .Find three solutions to this equation: y=4x+1 .Find three solutions to the equation 2x+3y=6 .Find three solutions to the equation 4x+2y=8 .In the following exercises, plot each point in a rectangular coordinate system and identify the quadrant in which the point is located. 1. (a) (4,2) (b) (1,2) (c) (3,5) (d) (3,5) (e) (53,2)In the following exercises, plot each point in a rectangular coordinate system and identify the quadrant in which the point is located. 2. (a) (2,3) (b) (3,3) (c) (4,1) (d) (4,1) (e) (32,1)In the following exercises, plot each point in a rectangular coordinate system and identify the quadrant in which the point is located. 3. (a) (3,1) (b) (3,1) (c) (2,2) (d) (4,3) (e) (1,145)In the following exercises, plot each point in a rectangular coordinate system and identify the quadrant in which the point is located. 4. (a) (1,1) (b) (2,1) (c) (2,1) (d) (1,4) (e) (3,72)In the following exercises, plot each point in a rectangular coordinate system. 5. (a) (2,0) (b) (3,0) (c) (0,0) (d) (0,4) (e)(0,2)In the following exercises, plot each point in a rectangular coordinate system. 6. (a) (0,1) (b) (0,4) (c) (1,0) (d) (0,0) (e) (5,0)In the following exercises, plot each point in a rectangular coordinate system. 7. (a) (0,0) (b) (0,3) (c) (4,0) (d) (1,0) (e) (0,2)In the following exercises, plot each point in a rectangular coordinate system. 8. (a) (3,0) (b) (0,5) (c) (0,2) (d) (2,0) (e) (0,0)In the following exercises, name the ordered pair of each point shown in the rectangular coordinate system. 9.In the following exercises, name the ordered pair of each point shown in the rectangular coordinate system. 10.In the following exercises, name the ordered pair of each point shown in the rectangular coordinate system. 11.In the following exercises, name the ordered pair of each point shown in the rectangular coordinate system. 12.In the following exercises, which ordered pairs are solutions to the given equations? 13. 2x+y=6 (a) (1,4) (b) (3,0) (c) (2,3)In the following exercises, which ordered pairs are solutions to the given equations? 14. x+3y=9 (a) (0,3) (b) (6,1) (c) (3,3)In the following exercises, which ordered pairs are solutions to the given equations? 15. 4x2y=8 (a) (3,2) (b) (1,4) (c) (0,4)In the following exercises, which ordered pairs are solutions to the given equations? 16. 3x2y=12 (a) (4,0) (b) (2,3) (c) (1,6)In the following exercises, which ordered pairs are solutions to the given equations? 17. y=4x+3 (a) (4,3) (b) (1,1) (c) (12,5)In the following exercises, which ordered pairs are solutions to the given equations? 18. y=2x5 (a) (0,5) (b) (2,1) (c) (12,4)In the following exercises, which ordered pairs are solutions to the given equations? 19. y=12x1 (a) (2,0) (b) (6,4) (c) (4,1)In the following exercises, which ordered pairs are solutions to the given equations? 20. y=13x+1 (a) (3,0) (b) (9,4) (c) (6,1)In the following exercises, complete the table to find solutions to each linear equation. 21. y=2x4In the following exercises, complete the table to find solutions to each linear equation. 22. y=3x1In the following exercises, complete the table to find solutions to each linear equation. 23. y=x+5In the following exercises, complete the table to find solutions to each linear equation. 24. y=x+2In the following exercises, complete the table to find solutions to each linear equation. 25. y=13x+1In the following exercises, complete the table to find solutions to each linear equation. 26. y=12x+4In the following exercises, complete the table to find solutions to each linear equation. 27. y=32x2In the following exercises, complete the table to find solutions to each linear equation. 28. y=23x1In the following exercises, complete the table to find solutions to each linear equation. 29. x+3y=6In the following exercises, complete the table to find solutions to each linear equation. 30. x+2y=8In the following exercises, complete the table to find solutions to each linear equation. 31. 2x5y=10In the following exercises, complete the table to find solutions to each linear equation. 32. 3x4y=12In the following exercises, find three solutions to each linear equation. 33. y=5x8In the following exercises, find three solutions to each linear equation. 34. y=3x9In the following exercises, find three solutions to each linear equation. 35. y=4x+5In the following exercises, find three solutions to each linear equation. 36. y=2x+7In the following exercises, find three solutions to each linear equation. 37. x+y=8In the following exercises, find three solutions to each linear equation. 38. x+y=6In the following exercises, find three solutions to each linear equation. 39. x+y=2In the following exercises, find three solutions to each linear equation. 40. x+y=1In the following exercises, find three solutions to each linear equation. 41.3x+y=5In the following exercises, find three solutions to each linear equation. 42. 2x+y=3In the following exercises, find three solutions to each linear equation. 43. 4xy=8In the following exercises, find three solutions to each linear equation. 44. 5xy=10In the following exercises, find three solutions to each linear equation. 45. 2x+4y=8In the following exercises, find three solutions to each linear equation. 46. 3x+2y=6In the following exercises, find three solutions to each linear equation. 47. 5x2y=1048EWeight of a baby. Mackenzie recorded her baby’s weight every two months. The baby’s age, in months, and weight, in pounds, are listed in the table below, and shown as an ordered pair in the third column. (a) Plot the points on a coordinate plane. (b) Why is only Quadrant I needed?Weight of a baby. Mackenzie recorded her baby’s weight every two months. The baby’s age, in months, and weight, in pounds, are listed in the table below, and shown as an ordered pair in the third column. (a) Plot the points on a coordinate plane. (b) Why is only Quadrant I needed?Explain in words how you plot the point (4,2) in a rectangular coordinate system.How do you determine if an ordered pair is a solution to a given equation?Is the point (3,0) on the x-axis or y-axis? How do you know?Is the point (0,8) on the x-axis or y-axis? How do you know?Use the graph of y=3x1 to decide whether each ordered pair is: •a solution to the equation. •on the line. (a) (0,1) (b) (2,5)Use the graph of y=3x1 to decide whether each ordered pair is: • a solution to the equation. • on the line. (a) (3,1) (b) (1,4)Graph the equation by plotting points: y=2x3 .Graph the equation by plotting points: y=2x+4 .Graph the equation by plotting points: y=4x .Graph the equation by plotting points: y=x .Graph the equation y=13x1 .Graph the equation y=14x+2 .Graph the equation 2x+y=2 .Graph the equation 4x+y=3 .Graph the equation 4x+2y=8 .Graph the equation 2x4y=8 .Graph the equation x=5 .Graph the equation x=2 .Graph the equation y=4 .Graph the equation y=3 .Graph y=4x and y=4 in the same rectangular coordinate system.Graph y=3 and y=3x in the same rectangular coordinate system.In the following exercises, for each ordered pair, decide: (a) Is the ordered pair a solution to the equation? (b) Is the point on the line? 55. y=x+2 (a) (0,2) (b) (1,2) (c) (1,1) (d) (3,1)In the following exercises, for each ordered pair, decide: (a) Is the ordered pair a solution to the equation? (b) Is the point on the line? 56. y=x4 (a) (0,4) (b) (3,1) (c) (2,2) (d)(1,5)In the following exercises, for each ordered pair, decide: (a) Is the ordered pair a solution to the equation? (b) Is the point on the line? 57. y=12x3 (a) (0,3) (b) (2,2) (c) (2,4) (d) (4,1)In the following exercises, for each ordered pair, decide: (a) Is the ordered pair a solution to the equation? (b) Is the point on the line? 58. y=13x+2 (a) (0,2) (b) (3,3) (c) (3,2) (d) (6,0)In the following exercises, graph by plotting points. 59. y=3x1In the following exercises, graph by plotting points. 60. y=2x+3In the following exercises, graph by plotting points. 61. y=2x+2In the following exercises, graph by plotting points. 62. y=3x+1In the following exercises, graph by plotting points. 63. y=x+2In the following exercises, graph by plotting points. 64In the following exercises, graph by plotting points. 65. y=x3In the following exercises, graph by plotting points. 66. y=x2In the following exercises, graph by plotting points. 67. y=2xIn the following exercises, graph by plotting points. 68. y=3xIn the following exercises, graph by plotting points. 69. y=4xIn the following exercises, graph by plotting points. 70. y=2xIn the following exercises, graph by plotting points. 71.y=12x+2In the following exercises, graph by plotting points. 72. y=13x1In the following exercises, graph by plotting points. 73. y=43x5In the following exercises, graph by plotting points. 74. y=32x3In the following exercises, graph by plotting points. 75. y=25x+1In the following exercises, graph by plotting points. 76. y=45x1In the following exercises, graph by plotting points. 77. y=32x+2In the following exercises, graph by plotting points. 78. y=53x+4In the following exercises, graph by plotting points. 79. x+y=6In the following exercises, graph by plotting points. 80. x+y=4In the following exercises, graph by plotting points. 81. x+y=3In the following exercises, graph by plotting points. 82. x+y=2In the following exercises, graph by plotting points. 83. xy=2In the following exercises, graph by plotting points. 84. xy=1In the following exercises, graph by plotting points. 85. xy=1In the following exercises, graph by plotting points. 86. xy=3In the following exercises, graph by plotting points. 87. 3x+y=7In the following exercises, graph by plotting points. 88. 5x+y=6In the following exercises, graph by plotting points. 89. 2x+y=3In the following exercises, graph by plotting points. 90. 4x+y=5In the following exercises, graph by plotting points. 91. 13x+y=2In the following exercises, graph by plotting points. 92. 12x+y=3In the following exercises, graph by plotting points. 93. 25xy=4In the following exercises, graph by plotting points. 94.34xy=6In the following exercises, graph by plotting points. 95. 2x+3y=12In the following exercises, graph by plotting points. 96. 4x+2y=12In the following exercises, graph by plotting points. 97. 3x4y=12In the following exercises, graph by plotting points. 98. 2x5y=10In the following exercises, graph by plotting points. 99. x6y=3In the following exercises, graph by plotting points. 100. x4y=2In the following exercises, graph by plotting points. 101. 5x+2y=4In the following exercises, graph by plotting points. 102. 3x+5y=5In the following exercises, graph each equation. 103. x=4In the following exercises, graph each equation. 104. x=3In the following exercises, graph each equation. 105. x=2In the following exercises, graph each equation. 106. x=5In the following exercises, graph each equation. 107. y=3In the following exercises, graph each equation. 108. y=1In the following exercises, graph each equation. 109. y=5In the following exercises, graph each equation. 110. y=2In the following exercises, graph each equation. 111. x=73In the following exercises, graph each equation. 112. x=54In the following exercises, graph each equation. 113. y=154In the following exercises, graph each equation. 114. y=53In the following exercises, graph each pair of equations in the same rectangular coordinate system. 115. y=2x and y=2In the following exercises, graph each pair of equations in the same rectangular coordinate system. 116. y=5x and y=5In the following exercises, graph each pair of equations in the same rectangular coordinate system. 117. y=12x and y=12In the following exercises, graph each pair of equations in the same rectangular coordinate system. 118. y=13x and y=13In the following exercises, graph each equation. 119. y=4xIn the following exercises, graph each equation. 120. y=2xIn the following exercises, graph each equation. 121. y=12x+3In the following exercises, graph each equation. 122. y=14x2In the following exercises, graph each equation. 123. y=xIn the following exercises, graph each equation. 124. y=xIn the following exercises, graph each equation. 125. xy=3In the following exercises, graph each equation. 126. x+y=5In the following exercises, graph each equation. 127. 4x+y=2In the following exercises, graph each equation. 128. 2x+y=6In the following exercises, graph each equation. 129.y=1In the following exercises, graph each equation. 130. y=5In the following exercises, graph each equation. 131. 2x+6y=12In the following exercises, graph each equation. 132. 5x+2y=10In the following exercises, graph each equation. 133. x=3In the following exercises, graph each equation. 134. x=4Motor home cost. The Robinsons rented a motor home for one week to go on vacation. It cost them $594 plus $0.32 per mile to rent the motor home, so the linear equation y=594+0.32x gives the cost, y, for driving x miles. Calculate the rental cost for driving 400, 800, and 1200 miles, and then graph the line.Weekly earnings. At the art gallery where heworks, Salvador gets paid $200 per week plus 15% ofthe sales he makes, so the equation y=120+0.15x gives the amount, y, he earns for selling x dollarsof artwork. Calculate the amount Salvador earns forselling $900, $1600, and $2000, and then graph theline.Explain how you would choose three x-values tomake a table to graph the line y=15x2 .What is the difference between the equations of a vertical and a horizontal line?Find the x- and y- intercepts on the graph.Find the x- and y- intercepts on the graph.Find the intercepts of 3x+y=12 .Find the intercepts of x+4y=8 .Find the intercepts of 3x4y=12 .Find the intercepts of 2x4y=8 .Graph x2y=4 using the intercepts.Graph x+3y=6 using the intercepts.Graph 5x2y=10 using the intercepts.Graph 3x4y=12 using the intercepts.Graph y=4x using the intercepts.Graph y=x the intercepts.In the following exercises, find the x- and y- intercepts on each graph. 139.In the following exercises, find the x- and y- intercepts on each graph. 140.In the following exercises, find the x- and y- intercepts on each graph. 141.In the following exercises, find the x- and y- intercepts on each graph. 142.In the following exercises, find the x- and y- intercepts on each graph. 143.In the following exercises, find the x- and y- intercepts on each graph. 144.In the following exercises, find the x- and y- intercepts on each graph. 145.In the following exercises, find the x- and y- intercepts on each graph. 146.In the following exercises, find the x- and y- intercepts on each graph. 147.In the following exercises, find the x- and y- intercepts on each graph. 148.In the following exercises, find the x- and y- intercepts on each graph. 149.In the following exercises, find the x- and y- intercepts on each graph. 150.In the following exercises, find the intercepts for each equation. 151. x+y=4In the following exercises, find the intercepts for each equation. 152. x+y=3In the following exercises, find the intercepts for each equation. 153. x+y=2In the following exercises, find the intercepts for each equation. 154. x+y=5In the following exercises, find the intercepts for each equation. 155. xy=5In the following exercises, find the intercepts for each equation. 156. xy=1In the following exercises, find the intercepts for each equation. 157. xy=3In the following exercises, find the intercepts for each equation. 158. xy=4In the following exercises, find the intercepts for each equation. 159. x+2y=8In the following exercises, find the intercepts for each equation. 160. x+2y=10In the following exercises, find the intercepts for each equation. 161. 3x+y=6In the following exercises, find the intercepts for each equation. 162. 3x+y=9In the following exercises, find the intercepts for each equation. 163. x3y=12In the following exercises, find the intercepts for each equation. 164. x2y=8In the following exercises, find the intercepts for each equation. 165. 4xy=8In the following exercises, find the intercepts for each equation. 166. 5xy=5In the following exercises, find the intercepts for each equation. 167. 2x+5y=10In the following exercises, find the intercepts for each equation. 168. 2x+3y=6In the following exercises, find the intercepts for each equation. 169.. 3x2y=12In the following exercises, find the intercepts for each equation. 170. 3x5y=30In the following exercises, find the intercepts for each equation. 171. y=13x+1In the following exercises, find the intercepts for each equation. 172. y=14x1In the following exercises, find the intercepts for each equation. 173. y=15x+2In the following exercises, find the intercepts for each equation. 174. y=13x+4In the following exercises, find the intercepts for each equation. 175. y=3xIn the following exercises, find the intercepts for each equation. 176. y=2xIn the following exercises, find the intercepts for each equation. 177. y=4xIn the following exercises, find the intercepts for each equation. 178. y=5xIn the following exercises, graph using the intercepts. 179. x+5y=10In the following exercises, graph using the intercepts. 180. x+4y=8In the following exercises, graph using the intercepts. 181. x+2y=4In the following exercises, graph using the intercepts. 182. x+2y=6In the following exercises, graph using the intercepts. 183. x+y=2In the following exercises, graph using the intercepts. 184. x+y=5In the following exercises, graph using the intercepts. 185. x+y=3In the following exercises, graph using the intercepts. 186. x+y=1In the following exercises, graph using the intercepts. 187. xy=1In the following exercises, graph using the intercepts. 188. xy=2In the following exercises, graph using the intercepts. 189. xy=4In the following exercises, graph using the intercepts. 190.xy=3In the following exercises, graph using the intercepts. 191. 4x+y=4In the following exercises, graph using the intercepts. 192. 3x+y=3In the following exercises, graph using the intercepts. 193. 2x+4y=12In the following exercises, graph using the intercepts. 194. 3x+2y=12In the following exercises, graph using the intercepts. 195. 3x2y=6In the following exercises, graph using the intercepts. 196. 5x2y=10In the following exercises, graph using the intercepts. 197. 2x5y=20In the following exercises, graph using the intercepts. 198. 3x4y=12In the following exercises, graph using the intercepts. 199. 3xy=6In the following exercises, graph using the intercepts. 200. 2xy=8In the following exercises, graph using the intercepts. 201. y=2xIn the following exercises, graph using the intercepts. 202. y=4xIn the following exercises, graph using the intercepts. 203. y=xIn the following exercises, graph using the intercepts. 204. y=3xRoad trip. Damien is driving from Chicago to Denver, a distance of 1000 miles. The x- axis on the graph below shows the time in hours since Damien left Chicago. The y- axis represents the distance he has left to drive. (a) Find the x- and y- intercepts. (b) Explain what the x- and y- intercepts mean for Damien.Road trip. Ozzie filled up the gas tank of his truck and headed out on a road trip. The x- axis on the graph below shows the number of miles Ozzie drove since filling up. The y- axis represents the number of gallons of gas in the truck’s gas tank. (a) Find the x- and y- intercepts. (b) Explain what the x- and y- intercepts mean for Ozzie.How do you find the x- intercept of the graph of 3x2y=6 ?Do you prefer to use the method of plotting points or the method using the intercepts to graph the equation 4x+y=4 ? Why?Do you prefer to use the method of plotting points or the method using the intercepts to graph the equation y=23x2 ? Why?Do you prefer to use the method of plotting points or the method using the intercepts to graph the equation y=6 ? Why?What is the slope of the line on the geoboard shown?What is the slope of the line on the geoboard shown?What is the slope of the line on the geoboard?What is the slope of the line on the geoboard?Model the slope m=13 . Draw a picture to show your results.Model the slope m=32 . Draw a picture to show your results.Model the slope m=23 . Draw a picture to show your results.Model the slope m=13 . Draw a picture to show your results.Find the slope of the line shown.Find the slope of the line shown.Find the slope of the line shown.Find the slope of the line shown.Find the slope of the line shown.Find the slope of the line shown.