<p>Name:</p><p>Class:</p><p>Date:</p><p>8th Grade: Unit 3 Review 1. What is the relationship between the slope of the line below and the side lengths of the triangles?</p><p> a The slope of the line is 2. b c d. The slope This is the ratio of the . The slope of the line is The slope of the line is side lengths of the legs . This is the ratio of the . This is the ratio of the is . It has of each triangle. side lengths of the legs side lengths of the legs no of each triangle. of each triangle. relationshi p with the triangle.</p><p>2. The total cost and the number of sandwiches ordered are in a proportional relationship. The relationship is shown in the graph. Interpret the unit rate and compare it to the slope.</p><p> a The unit rate is $6 per b. The unit c The unit rate is $7 per d The unit rate is $6 sandwich, which is also rate is sandwich, which is also . per sandwich, the the slope of the line in $8 per the slope of the line in slope of the line is 7. the graph. sandwic the graph. h, which is also the Powered by Cognero Page 1 Name:</p><p>Class:</p><p>Date:</p><p>8th Grade: Unit 3 Review slope of the line in the graph.</p><p>Determine the slope of the line that passes through each pair of points.</p><p>3. E ( 1, 4 ) and F ( 2, 6 )</p><p> a b c d . .</p><p>4. X(0, 5) and Y( 4, 9)</p><p> a b 1 c 1 d . .</p><p>5. What is the slope, or grade, of a road that rises 6 feet for every horizontal change of 100 feet? a b c d . .</p><p>6. What is the constant rate of change between the two quantities in the table?</p><p> a b c d . .</p><p>7. At Store A, pencils are sold individually. The cost y of x pencils is represented by the equation y 0.55x. The costs of pencils at Store B are shown in the table. State whether the statement is true or false. “The pencils at Store A cost more.” Explain.</p><p>Powered by Cognero Page 2 Name:</p><p>Class:</p><p>Date:</p><p>8th Grade: Unit 3 Review</p><p> a False; the rate b True; The rate of change in the table c True; The rate of change in the table none of of change is . is 0.53. The rate of the change in the is 0.51. The rate of the change in the these the same equation is 0.55. So, the rate of equation is 0.55. So, the rate of change at Store A is greater. change at Store A is greater.</p><p>8. The slope of a line is . One point on the line is (-2,6). What is another point on the line?</p><p> a (5,11) (-1,11) (11,-1) (11,5) b. c. d. </p><p>9. The top of Sophie’s ladder is resting against the side of her house 18 feet above the ground. If the base of the ladder is 3 feet from the house, what is the slope of the ladder?</p><p>10. The table below shows the speed that Katrina can type pages. How many pages can Katrina type in 30 minutes.</p><p> a 180 pages b 360 pages c 270 pages d 300 pages . .</p><p>11. A new one-year membership to a gym costs $725. The registration fee is $125, and the remaining amount is paid monthly. Define a variable. Then write an equation to find how much new members pay each month.</p><p>Powered by Cognero Page 3 Name:</p><p>Class:</p><p>Date:</p><p>8th Grade: Unit 3 Review</p><p> a 12m 125 725 b 12m 725 + 125 c 12m 125 725 d 12m 125 725 . . . . </p><p>12. Water Fun Swimming Club charges $30 per month plus $14 for a wetsuit. Ahoy Swimming Club charges $22 per month plus $24 for a wetsuit. Write an inequality that can be used to find after how many months the charges at Ahoy are lower than at Water Fun Swimming Club.</p><p> a 30x 14 22x 24 b 30x + 14 22x + 24 c 30x + 14 < 22x + 24 d 30x + 14 > 22x + 24 . .</p><p>13. The A1 Arts learning center charges a one-time fee of $26 plus $10 per piano lesson. The charges to learn to play guitar are a one-time fee of $36 plus $8 for each lesson. Write an inequality to find out after how many lessons will the cost of learning to play piano be the same or more than learning the to play guitar?</p><p> a 26 + 10x > 36 + 8x b 36 + 8x > 26 + 10x 26 + 10x < 36 + 8x d 26 - 10x > 36 - 8x . c. .</p><p>14. An online movie streaming plan charges an annual fee of $45 plus $2.50 per movie watched. Another plan has no annual fee but charges $3.75 per movie watched. For how many movies is the cost of the plans the same?</p><p> a 45 + 3.75x = 2.50x b 45 – 2.50x = 3.75x c 3.75x + 2.50x = 45 d 45 + 2.50x = 3.75x . .</p><p>15. A fitness center introduces two membership plans. The first plan charges $27 per month plus a $22 enrollment fee. The second plan charges $30 per month plus a $10 enrollment fee. For what number of months is the first plan less expensive? Write an inequality.</p><p>Powered by Cognero Page 4 Name:</p><p>Class:</p><p>Date:</p><p>8th Grade: Unit 3 Review</p><p> a 27m + 22 < 30m +10 b 27m + 22 < 30m +10 c d 27m + 22 < 30m +10 . .</p><p>Determine whether the relationship between the two quantities shown is linear. If so, determine the constant rate of change. If not, explain your reasoning. 16. </p><p>17. Find the slope of the line.</p><p> a b c d . .</p><p>Powered by Cognero Page 5 Name:</p><p>Class:</p><p>Date:</p><p>8th Grade: Unit 3 Review</p><p>18. Find the slope of the line.</p><p> a b c d . .</p><p>The graph shows the altitude of a hawk diving toward its prey.</p><p>19. Determine the constant rate of change and interpret its meaning. a 10ft/s; a descent of 10 b 0.1ft/s; a descent of 0.1 c 0.1 ft/s; an ascent of 0.1 d. 10ft/s; an ft for every second . ft for every second ft for every second ascent of diving toward the prey diving toward the prey diving toward the prey 10 ft for every second diving toward the prey 20. When will the graph have a proportional linear relationship? Explain. ______</p><p>Powered by Cognero Page 6 Name:</p><p>Class:</p><p>Date:</p><p>8th Grade: Unit 3 Review Answer Key</p><p>1. c</p><p>2. a</p><p>3. b</p><p>4. c</p><p>5. d</p><p>6. d</p><p>7. c</p><p>8. </p><p>9. 6</p><p>10. c</p><p>11. a</p><p>12. a</p><p>13. c</p><p>14. a</p><p>15. c</p><p>16. b</p><p>17. d</p><p>18. b</p><p>19. a</p><p>20. a</p><p>Powered by Cognero Page 7</p>