UNIT 4/EOTT STUDY GUIDE - Equations, Inequalities and Review

Transcription

1 Name UNIT /EOTT STUDY GUIDE - Equations, Inequalities and Review MCC6.NS.1 1) Simplify ) Jamal and nine of his friends have 3 3 pizzas. If they each get equal portions, how much pizza will each person receive? MCC6.NS. 3) Find the Least Common Multiple of 12 and 20. ) At a baseball game, every 5 th person will receive a hat and every 8 th person will receive a baseball. Who will be the first person in line to receive both? MCC6.RP.3d 5) A bus is 12 feet long. How many yards long is the bus? (1 yard = 3 feet) 6) Jocelyn s cat weighs 6 pounds. How many ounces does the cat weigh? (1 pound = 16 ounces) 7) John s calculator is 5.6 centimeters wide. How many meters wide is the calculator? 8) Jonathan ran 5 kilometers. How many meters did he run? MCC6.EE 9) Simplify 3(r + 6) 10) Simplify 5(2a + 10) MCC6.EE.5 11) Which of the following equations has as a solution? A. = 5 B. w + 2 = 6 C. 12 w = 96 D. w 2 = 16 12) Which of the following inequalities are true if x = 12? (Circle all that apply) A. x B. x 10 C. x + 2 D. x 2 10

2 13) Which of the following statement(s) is true about the inequality: n + 8 > 15. A. The difference of 15 and 8 is less than 8 and a number n. B. The sum of a number n and 8 is greater than or equal to 15. C. The sum of a number n and 8 is greater than 15. D. The product of a number n and 8 is greater than 15. 1) Which of the following will make the inequality n + 12 >55 true? (Circle all that apply.) A. 20 B. 0 C. 60 D ) Which of the following sets will make the equation n 18 > 105 true? (Verify that each number in the set is true before selecting an answer.) A. {120, 110, 100} B. {125, 315, 15} C. {16, 130, 120} D. {192, 210, 25} MCC6.EE.6 and 7 16) Jeremiah bought a bottle of water and a large pizza. The pizza cost $10.99 but the total cost was $ Write an equation you would use to find the cost of the bottle of water b. 17) John has 28 various sports trophies. He has them displayed in his room on 2 shelves, one red r, and one blue b. Write an equation to represent the number of trophies John has. 18) Jack is 11 years old and he is 5 years older than his sister, Jill. How old is Jill? Write the ADDITION equation used to solve: 19) If Joseph earns $2 for babysitting his little brother for hours, how much does he earn per hour? Write the MULTIPLICATION equation used to solve: 20) There were 3.2 inches of snow on the ground. New snow was reported to be falling at the rate of 1.8 inches per hour. Write the expression which represents the number of inches of snow that could be on the ground after h hours. 21) Jasmine gave away her stuffed animal collection to of her younger cousins. Each cousin got 7 stuffed animals. How many stuffed animals s did Jasmine originally have? Write a DIVISION equation used to solve:

3 MCC6.EE.8 22) Write an inequality for the following statement: Jackie needs to earn at least $75. 23) Mr. Milo puts less than books on each desk. There are 0 desks. Which inequality represents the total number of books? A. 10b < 0 B. 10b > 0 C. 10b 0 D. 10b 0 2) Write the inequality illustrated on the number line below. 25) Write the inequality illustrated on the number line below. 26) The Wildcat football team must gain at least 3 yards for a first down. The inequality y 3 represents the number of yards y that the team must gain. Graph the solutions for the inequality on the number line below. MCC6.EE.9 27) Complete the table and graph the direct proportion. y = 2x x y

4 28) Which equation describes the data represented in the table? x y A. y = 3x B. y = 5x C. y = x D. not enough information 29) Which Graph shows the equation y = 3x? A. B C. D. 30) Which table below is represented by the equation y = x? A. B. C. D

5 Unit : One-Step Equations and Inequalities STUDY GUIDE MCC6.NS.1 1) Simplify = ) Jamal and nine of his friends have 3 3 pizzas. If they each get equal portions, how much pizza will each person receive? 3 8 of a pizza MCC6.NS. 3) Find the Least Common Multiple of 12 and ) At a baseball game, every 5 th person will receive a hat and every 8 th person will receive a baseball. Who will be the first person in line to receive both? the 0 th person MCC6.RP.3d 5) A bus is 12 feet long. How many yards long is the bus? (1 yard = 3 feet) yards 6) Jocelyn s cat weighs 6 pounds. How many ounces does the cat weigh? (1 pound = 16 ounces) 96 ounces 7) John s calculator is 5.6 centimeters wide. How many meters wide is the calculator? meters 8) Jonathan ran 5 kilometers. How many meters did he run? 5000 meters MCC6.EE 9) Simplify 3(r + 6) = 3r ) Simplify 5(2a + 10) = 10a + 50 MCC6.EE.5 11) Which of the following equations has as a solution? A. = 5 B. w + 2 = 6 C. 12 w = 96 D. w 2 = 16 12) Which of the following inequalities are true if x = 12? A. x + 7 B. x 10 C. x + 2 D. x 2 10

6 13) Which of the following statements is true about the equation: n + 8 > 15. A. The difference of 15 is less than 8 and a number n. The sum of a number n and 8 is greater than or equal to 15. The sum of a number n and 8 is greater than 15. The product of 15 and 8 is equal to n. 1) Which of the following will make the equation n + 12 > 55 true? A. 20 B. 0 C. 60 D ) Which of the following sets will make the equation n 18 > 105 true? A. { 120, 110, 100} B. {125, 315, 15} C. {16, 130, 120} D. {192, 210, 25} MCC6.EE.6 and 7 16) Raymond bought a bottle of water and a large pizza. The pizza cost $10.99 but the total cost was $ Write an equation you would use to find the cost of the bottle of water b b = ) John has 28 various sports trophies. He has them displayed in his room on 2 shelves, one red r, and one blue b. Write an equation to represent the number of trophies John has. r + b = 28 18) Jon is 11 years old and he is 5 years older than his sister, Anissa. How old is Anissa? Anissa is 6 years old Write the ADDITION equation used to solve: a + 5 = 11

7 19) If Jamal earns $2 for babysitting his little brother for hours, how much does he earn per hour? Jamal is paid $6 an hour Write the MULTIPLICATION equation used to solve: h = 2 20)There were 3.2 inches of snow on the ground. New snow was reported to be falling at the rate of 1.8 inches per hour. Write the expression represents the number of inches of snow that could be on the ground after h hours h OR 1.8h ) Jasmine gave away her stuffed animal collection to of her younger cousins. Each cousin got 7 stuffed animals. How many stuffed animals s did Jasmine originally have? Jasmine has 28 stuffed animals Write a DIVISION equation used to solve: s 7 = OR = OR s = 7 OR = 7 MCC6.EE.8 22) Write the inequality for the following statement: You need to earn more than or equal to $75. e $75 23) Mr. Milo puts less than books on each desk. There are 0 desks. Write the inequality for the total number of books. b < 160

8 2) Write inequality illustrated on the number line below. x > 2 25) Write inequality illustrated on the number line below. x 7 26) The Wildcat football team must gain at least 3 yards for a first down. The inequality y 3 represents the number of yards y that the team must gain. Graph the solutions for the inequality MCC6.EE.9 27) Complete the table and graph the direct proportion. y = 2x x y

9 28) Which equation describes the data represented in the table? x y A. y = 3x B. y = 5x C. y = x D. not enough information 29) Which Graph shows the equation y = 3x? A. B C. D. 30) Which table below is represented by the equation y = x? A. B. C. D