Practice Activities Name Chapter 2, Lessons 1 – 3 Write each as a numerical expression. 1. one fourth the difference of the opposite of 8 and 6 2. 2 greater than the product of 6 cubed and 9 __ 1 (28 2 6) or ______ 28 2 6 4 4 63(9) 1 2 3. 3 less than the opposite of the quotient of 10 and 25 2[10 4 (25)] 2 3 Write each as an algebraic expression. Use n as the variable. 4. a number increased by 5 n15 5. Twice the quotient of 15 and a number 2(15 4 n) 6. The sum of 7 and 8 divided by a number 8 ____ 7 1 n Write a word phrase for each expression. Possible answers shown. the sum of 29 squared and 4 Copyright © by William H. Sadlier, Inc. Permission to duplicate classroom quantities granted to users of Fundamentals of Algebra. 7. (29)2 1 4 8. 2[24 2 (28)] twice the difference of 24 and 28 9. [4(5) 2 3]2 the difference of the product of 4 and 5 and 3, squared 10. 4(a 2 3) p24 11. _____ 3 4 times the difference of a number, a, and 3 12. y(7 2 11) a number, y, multiplied by the difference of 7 and 11 The difference of a number, p, and 4, divided by 3 Evaluate each expression using the values of the variables given in the chart. a b c e n r 6 �7 10 �4 3 �9 1 8207-W_G7_CH02_PA2-2 3. n2 1 r 14. c 2 (2b) 15. e(r 2 n) 0 3 48 16. ______ ec b2n 4 17. ___ 21 n ( 2an) a2(r 1 | b |) 18. __________ a 6 212 19. |r 2 2 c 2| • 2c 20. (b 2 c)[n 2 (2e)] 1 r 21. __ ec • (e 2 r) 2190 8 22 Course I, Chapter 2 (continued) Practice Activities Name Chapter 2, Lessons 1 – 3 Copyright © by William H. Sadlier, Inc. Permission to duplicate classroom quantities granted to users of Fundamentals of Algebra. Simplify each expression by combining like terms. 22. 5a 2 (29) 2 7a 2 12 23. 6 2 7m2 1 4n2 2 8 2 9m2 2 n2 22a 2 3 2 2 216m 1 3n 2 2 24. 7 2 9j3k2 2 (24j2k3) 1 3j3k2 2 (28) 25. 2 1 14rt 2 5(r 1 rt) 1 6r 2 3 2 3 3 2 4j k 2 6j k 1 15 9rt 1 r 2 1 26. 7(a 2 2ab 1 2) 2 8a 1 (215) 1 11ab 27. 13xy 2 4x(6 2 5y) 1 12x 23ab 2 a 2 1 33xy 2 12x 28. 28(23f 1 ef 2 3) 1 2(24e 2 ef 2 6) 29. 2c(23d 1 6) 2 (4cd 2 13cd) 24f 2 8e 1 10ef 1 12 223cd 1 12c Write an equation for each sentence. Label each equation numerical or algebraic. 30. 7 less than 4 is equal to 23. 4 2 7 5 23; numerical 31. The product of a number, e, and 3 is 12. 3e 5 12; algebraic 32. 2 is the quotient when 5 minus 7 is divided by 21. 2 5 ____ 5 2 7 ; numerical 21 33. 6 times the difference of 7 and 3 is equal to twice 12. 6(7 2 3) 5 2(12); numerical 34. Twice a number, g, times the difference of a number, g, and 3 is equal to 24. 2g(g 2 3) 5 24; algebraic 35. The sum of three times a number, h, and 2, divided by 4 is equal to 2. (3h 1 2) 4 4 5 2; algebraic Identify whether the equation is open or closed. If it is closed, identify if it is true or false. Then explain why. 36. 2(28 2 45) 5 17 37. 3x2 2 8x 5 25 closed; true open 38. 64 4 42 5 16 39. 4x(6 2 3) 5 24 closed; false since 4 ≠ 16 open Course I, Chapter 2 (continued) Practice Activities Name Chapter 2, Lessons 1 – 3 Copyright © by William H. Sadlier, Inc. Permission to duplicate classroom quantities granted to users of Fundamentals of Algebra. Determine whether either of the given values is a solution of the equation. 40. 11 1 u 5 20, when u 5 29, u 5 31 41. x 1 6 5 5, when x 5 21, x 5 7 neither is a solution solution: x 5 21 42. 8 2 w 5 10, when w 5 2, w 5 22 43. 9 2 10 2 k 5 24, when k 5 23, k 5 3 solution: w 5 22 solution: k 5 3 44. 4 1 (220) 4 g 5 2, when g 5 10, g 5 5 45. 26y 2 14 5 28, when y 5 1, y 5 22 solution: g 5 10 neither is a solution 46. 3t 2 8 5 16, when t 5 4, t 5 8 47. 16 4 r 2 6 5 22, when r 5 14, r 5 4 solution: t 5 8 solution: r 5 4 Solve. Show your work. 48. Kim has m more miles remaining to walk this week. She has already walked 4 miles. Write an expression to represent the number of miles she will walk in all this week. 4 1 m miles 49. Last month, Karla babysat 3 hours more than 4 times the number of hours, h, that Mike babysat. Write an expression to represent the number of hours Karla babysat. If Mike babysat 6 hours last month, how many hours did Karla? 4h 1 3; h 5 6; 4(6) 1 3 5 24 1 3 5 27 Last month, Karla babysat for 27 hours. 50. Wendell drove m miles per hour and 250 miles in 5 hours. Write an equation that represents this information. Decide whether the equation is open or closed. If it is closed, tell why it is true or false. 5m 5 250; open Course I, Chapter 2

© Copyright 2021 Paperzz