6 Grade Final Exam - Prealgebra Lesson Plans

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6th Grade Final ExamTrue or False.1. 0.68 as a simplified fraction is778834.502. The absolute value of is .3. The expression 7π‘₯ 3𝑦 1 has 2 terms: 7π‘₯ and 3𝑦.4.8written11Μ…Μ…Μ….as a decimal is 0. Μ…725. If you drive 35 miles in half an hour, your average speed is 35 miles per hour.6. The point (0,0) on the coordinate plane is called the origin.7. When π‘Ž 1, the expression (π‘Ž 3) is equal to 2.8. 5π‘₯ added to 5π‘₯ is 10π‘₯ 2 .9. The area of a square with side length 11 cm is 121 square cm.10. If a class contains 14 boys and 10 girls, the ratio of girls to boys is 7 to 5.311. On a number line, 3.4 is to the left of 3 .412. The box in a boxplot is formed by plotting the 1st quartile, median and 3rd quartile.13. The cost to produce a jar of jelly is 45 of fixed costs and 1 per jar. This can be modeled by theexpression 𝑗 45, where 𝑗 is the number of jars produced.3814. 5 5.315. 0.04 0.05 0.5 0.14Multiple Choice. Circle the letter that corresponds with the correct answer.5616. Which shows 4 plotted on a number line?a.b.c.d.

17. Jasmine has 2 soccer balls and her brother has 6. What is the ratio of Jasmine’s soccer balls toher brother’s?a. 2 to 6b. 1 to 3c. 3 to 1d. 6 to 218. 5 pounds of grapefruit cost 13. Which expression shows the cost per pound of grapefruit?a.b.13𝑝55𝑝13c. 5𝑝 13d. 13 5𝑝19. Which is the correct way to write 14 thousandths as a decimal?a. 0.14b. 0.014c. 0.0014d. 0.0001420. What is the area of a right triangle with legs both measuring 8 inches?a. 64 square inchesb. 16 square inchesc. 32 square inchesd. 128 square inches21. Evaluate: 2 5 9 a. 16b. 12c. 6d. 28𝑝22. What value of 𝑝 makes the expression (𝑝 1) equal to 10?a.b.c.d.2345

23. Which boxplot represents the data set: 2, 0, 1,3,5,7,9,9,10,15 ?a.b.c.d.24. For a school project, a group of students collected data on the price of a specific textbook atdifferent stores. Based on the dotplot shown, what conclusion can be made?Textbook Pricea.b.c.d.The textbook ranges in price from 45 to 50 dollars.The most common price for this textbook is 50.There were as many of this textbook priced at 45 as there were priced at 51.The textbook was never priced above 53.

25. What is the absolute value of 83?a. 83b. 83c. 0d. 8.326. The histogram contains data from a 2nd grade class where the teacher asked each student β€œHowmany siblings do you have?” What conclusion can be made from this histogram?Number of Siblingsa.b.c.d.The number of students who have 6 siblings is 2.The number of students who have between 2 and 4 siblings is 5.The number of students who have 0 siblings is 7.The number of students who have 3 siblings is 5.27. Which expression is equivalent to 3 times the sum of m and n?a. 3π‘šπ‘›b. 3π‘š 𝑛c. 3 (π‘š 𝑛)d. 3(π‘š 𝑛)28. A regular nonagon (9-sided figure) has a side length of 3 feet. What is the perimeter of thenonagon?a. 3 feetb. 9 feetc. 18 feetd. 27 feet29. What is the value of the expression 6 2(1 32 ) 1?a. 25b. 37c. 79d. 71

30. The ages of the students in the school band are 9, 11, 12, 8, 9, 10, 11, 11, 12. What is the medianof these ages?a. 9b. 10c. 11d. 11.531. Every month the school cafeteria orders 120 gallons of milk and 220 gallons of chocolate milk.What is the ratio of milk to chocolate milk in simplest form?a. 12:22b. 120:220c. 22:12d. 6:1132. There are 120 dogs at a dog show. Out of all these dogs, 15 of them are dachshunds. Whatproportion of the dogs are dachshunds?a. 1/6b. 1/7c. 1/8d. 1/933. Find the area of the rectangle when π‘š 1.a. 4π‘šb. 3π‘š2c. 4d. 33mm34. What are the like terms in the expression 4π‘₯ 5π‘₯ 2 4 8𝑦 2 9π‘₯ 2 𝑦a. 4π‘₯ and 4b. 5π‘₯ 2 and 9π‘₯ 2c. 8𝑦 2 and 𝑦d. 5π‘₯ 2 and 8𝑦 235. Evaluate when 𝑔 3: 𝑔 2 a. 5b. 5c. 1d. 3

Show Your Work.36. Write as an expression: 3 less than y.37. Evaluate35𝑑 4 when 𝑑 7.38. Write an expression for the area of the figure. Simplify.7π‘Ž539. Write an inequality that corresponds to the number line.40. Find the area of the right triangle shown.5741. Each school bus holds 32 students. There are 192 students that need to ride the bus. How manybuses will it take to hold all 192 students?42. Write an expression for the area of a square with side length π‘š.43. Draw the polygon with vertices 𝐴( 1,4), 𝐡(0, 3), 𝐢(1,3), 𝐷(2,2) and 𝐸(3, 1) on thecoordinate plane.

44. Plot the inequality π‘₯ 3 on the number line.245. Divide and round the answer to 2 decimal places.946. Gannon and Jayden worked on a project unequally. They decided to divide their pay in a ratio of3:4 (3 parts for Gannon, 4 parts for Jayden). The total pay was 210. Calculate how much Jaydengot.47. The test scores on the 1st semester final for one 6th grade class were the following: 65, 72, 75,75, 79, 81, 82, 85, 85, 86, 88, 89, 90, 93, 95, 99. Draw and label a histogram representing thisdata.3 84 39448. Plot and label the numbers , and on the number line.49. Find the perimeter of the hexagon shown.11

50. Divide4and15write as a decimal to the nearest hundredth.51. Ronnie bakes the same number of loaves of bread each day. He uses 5 cups of flour in each loafof bread. Write an expression to represent the number of cups of flour he uses each day makingbread, where 𝑙 is the number of loaves of bread.52. Write the coordinates of the vertices of the pentagon shown.53. In 1938, the United States population was about 130 million. By 1993, the US population hadclimbed to about 260 million. What is the ratio of the US population from 1938 to 1993?1254. If 𝑦 3, what is the value of the expression (𝑦 5)?55. For a project, Mr.Unker needs to cut a 6-foot board into ΒΎ-foot pieces. How many pieces can heget from the board?9523372356. Put the numbers in order from least to greatest: , 1 , , 3 , 2.1, 1.457. What is the perimeter of a rectangle with length 1.5 inches and height 0.5 inches?

58. Combine like terms: 6π‘₯ 7π‘₯ 2 8π‘₯ 2 π‘₯ π‘₯ 2 .59. What is the value of the expression 42 (6 5)2 [(4 4) 9]?60. Find the area of the rectangle when 𝑒 3.3𝑒 22𝑒 12361. Plot the inequality 𝑦 on the number line.1262. Draw a line on the coordinate plane connecting the points ( 3,1) and ( , 2).63. Divide and round to the nearest thousandth. 5 1264. Tina mowed 10 lawns and made 125. What was her average pay per lawn?65. The ages of the 1st grade teachers in a school district are recorded below. Create a dot plot ofthese ages.22, 23, 25, 26, 27, 31, 33, 36, 39, 42, 44, 47, 47, 51, 56, 59

6th Grade Final Exam ANSWER KEYTrue or False.1. 0.68 as a simplified fraction is778834.50TRUE2. The absolute value of is . TRUE3. The expression 7π‘₯ 3𝑦 1 has 2 terms: 7π‘₯ and 3𝑦. FALSE4.8written11Μ…Μ…Μ…. TRUEas a decimal is 0. Μ…725. If you drive 35 miles in half an hour, your average speed is 35 miles per hour. FALSE6. The point (0,0) on the coordinate plane is called the origin. TRUE7. When π‘Ž 1, the expression (π‘Ž 3) is equal to 2. TRUE8. 5π‘₯ added to 5π‘₯ is 10π‘₯ 2 . FALSE9. The area of a square with side length 11 cm is 121 square cm. TRUE10. If a class contains 14 boys and 10 girls, the ratio of girls to boys is 7 to 5. FALSE311. On a number line, 3.4 is to the left of 3 . FALSE412. The box in a boxplot is formed by plotting the 1st quartile, median and 3rd quartile. TRUE13. The cost to produce a jar of jelly is 45 of fixed costs and 1 per jar. This can be modeled by theexpression 𝑗 45, where 𝑗 is the number of jars produced. TRUE3814. 5 5.3 TRUE15. 0.04 0.05 0.5 0.14 FALSEMultiple Choice. Circle the letter that corresponds with the correct answer.5616. Which shows 4 plotted on a number line?a.b.c.d.

17. Jasmine has 2 soccer balls and her brother has 6. What is the ratio of Jasmine’s soccer balls toher brother’s?a. 2 to 6b. 1 to 3c. 3 to 1d. 6 to 218. 5 pounds of grapefruit cost 13. Which expression shows the cost per pound of grapefruit?a.b.13𝑝55𝑝13c. 5𝑝 13d. 13 5𝑝19. Which is the correct way to write 14 thousandths as a decimal?a. 0.14b. 0.014c. 0.0014d. 0.0001420. What is the area of a right triangle with legs both measuring 8 inches?a. 64 square inchesb. 16 square inchesc. 32 square inchesd. 128 square inches21. Evaluate: 2 5 9 a. 16b. 12c. 6d. 28𝑝22. What value of 𝑝 makes the expression (𝑝 1) equal to 10?a.b.c.d.2345

23. Which boxplot represents the data set: 2, 0, 1,3,5,7,9,9,10,15 ?a.b.c.d.24. For a school project, a group of students collected data on the price of a specific textbook atdifferent stores. Based on the dotplot shown, what conclusion can be made?Textbook Pricea.b.c.d.The textbook ranges in price from 45 to 50 dollars.The most common price for this textbook is 50.There were as many of this textbook priced at 45 as there were priced at 51.The textbook was never priced above 53.

25. What is the absolute value of 83?a. 83b. 83c. 0d. 8.326. The histogram contains data from a 2nd grade class where the teacher asked each student β€œHowmany siblings do you have?” What conclusion can be made from this histogram?Number of Siblingsa.b.c.d.The number of students who have 6 siblings is 2.The number of students who have between 2 and 4 siblings is 5.The number of students who have 0 siblings is 7.The number of students who have 3 siblings is 5.27. Which expression is equivalent to 3 times the sum of m and n?a. 3π‘šπ‘›b. 3π‘š 𝑛c. 3 (π‘š 𝑛)d. 3(π‘š 𝑛)28. A regular nonagon (9-sided figure) has a side length of 3 feet. What is the perimeter of thenonagon?a. 3 feetb. 9 feetc. 18 feetd. 27 feet29. What is the value of the expression 6 2(1 32 ) 1?a. 25b. 37c. 79d. 71

30. The ages of the students in the school band are 9, 11, 12, 8, 9, 10, 11, 11, 12. What is the medianof these ages?a. 9b. 10c. 11d. 11.531. Every month the school cafeteria orders 120 gallons of milk and 220 gallons of chocolate milk.What is the ratio of milk to chocolate milk in simplest form?a. 12:22b. 120:220c. 22:12d. 6:1132. There are 120 dogs at a dog show. Out of all these dogs, 15 of them are dachshunds. Whatproportion of the dogs are dachshunds?a. 1/6b. 1/7c. 1/8d. 1/933. Find the area of the rectangle when π‘š 1.a. 4π‘šb. 3π‘š2c. 4d. 33mm34. What are the like terms in the expression 4π‘₯ 5π‘₯ 2 4 8𝑦 2 9π‘₯ 2 𝑦a. 4π‘₯ and 4b. 5π‘₯ 2 and 9π‘₯ 2c. 8𝑦 2 and 𝑦d. 5π‘₯ 2 and 8𝑦 235. Evaluate when 𝑔 3: 𝑔 2 a. 5b. 5c. 1d. 3

Show Your Work.36. Write as an expression: 3 less than y.𝑦 337. Evaluate35𝑑 4 when 𝑑 7.2038. Write an expression for the area of the figure. Simplify.7π‘Ž535π‘Ž39. Write an inequality that corresponds to the number line.π‘₯ 140. Find the area of the right triangle shown. 355741. Each school bus holds 32 students. There are 192 students that need to ride the bus. How manybuses will it take to hold all 192 students?642. Write an expression for the area of a square with side length π‘š.π‘š243. Draw the polygon with vertices 𝐴( 1,4), 𝐡(0, 3), 𝐢(1,3), 𝐷(2,2) and 𝐸(3, 1) on thecoordinate plane.

44. Plot the inequality π‘₯ 3 on the number line.245. Divide and round the answer to 2 decimal places.90. 2Μ…46. Gannon and Jayden worked on a project unequally. They decided to divide their pay in a ratio of3:4 (3 parts for Gannon, 4 parts for Jayden). The total pay was 210. Calculate how much Jaydengot. 12047. The test scores on the 1st semester final for one 6th grade class were the following: 65, 72, 75,75, 79, 81, 82, 85, 85, 86, 88, 89, 90, 93, 95, 99. Draw and label a histogram representing thisdata.Any of these are correct:Test ScoreTest Score3 84 3Test Score9448. Plot and label the numbers , and on the number line.9 43 449. Find the perimeter of the hexagon shown. 661183

50. Divide4and15write as a decimal to the nearest hundredth.0.2751. Ronnie bakes the same number of loaves of bread each day. He uses 5 cups of flour in each loafof bread. Write an expression to represent the number of cups of flour he uses each day makingbread, where 𝑙 is the number of loaves of bread.5𝑙52. Write the coordinates of the vertices of the pentagon shown. (2,4), (5,3), (5,0), (2, 1), (0,1)53. In 1938, the United States population was about 130 million. By 1993, the US population hadclimbed to about 260 million. What is the ratio of the US population from 1938 to 1993?1 to 2 or 1:21254. If 𝑦 3, what is the value of the expression (𝑦 5)?455. For a project, Mr.Unker needs to cut a 6-foot board into ΒΎ-foot pieces. How many pieces can heget from the board?8 pieces9523372356. Put the numbers in order from least to greatest: , 1 , , 3 , 2.1, 1.423 2 9 3 , 1.4, , 1 , , 2.137 3 557. What is the perimeter of a rectangle with length 1.5 inches and height 0.5 inches?

4 inches58. Combine like terms: 6π‘₯ 7π‘₯ 2 8π‘₯ 2 π‘₯ π‘₯ 2 .8π‘₯ 2 3π‘₯ 259. What is the value of the expression 42 (6 5)2 [(4 4) 9]? 1760. Find the area of the rectangle when 𝑒 3.353𝑒 22𝑒 12361. Plot the inequality 𝑦 on the number line.1262. Draw a line on the coordinate plane connecting the points ( 3,1) and ( , 2).63. Divide and round to the nearest thousandth. 5 120.41764. Tina mowed 10 lawns and made 125. What was her average pay per lawn? 12.5065. The ages of the 1st grade teachers in a school district are recorded below. Create a dot plot ofthese ages.22, 23, 25, 26, 27, 31, 33, 36, 39, 42, 44, 47, 47, 51, 56, 59

6th Grade Final Exam True or False. 1. 0.68 as a simplified fraction is 34 50. 2. The absolute value of 7 8 is 7 8. 3. The expression 7 3 1 has 2 terms: 7 and 3 . 4. 8 11 written as a decimal is 0.72Μ…Μ…Μ…Μ…. 5. If you drive 35 miles in half an hour, your average speed is 35 miles per hour. 6.