Equations And Inequalities Worksheet

Equations and Inequalities Worksheet

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work on a separate sheet of paper. Bring it to Mr. Woodson to have him check it.

Introductory Check whether the 1. 2x + 3 = 7; 6 = 2x – 8; 6 6. 3x + 5 = 7; 0 = x2 -22; 11 11. 20 = 2x – 8; 2x – 8; 6 Check whether the 16. x – 5 7; 9 ≤ 21.

given number is a solution of the equation (Do 3) 4 2. 4x +2 = 10; 1 3. 3x – 5 = 1; 2 4. 5. 17 - 4a = 13; 1 4 7. 17 – 4x = 9; 2 8. 7 +x2 = 32; 5 9. 2 10. 20 – 3n = 196; 2 6 12. x2 – 19 = 30; 7 13. 4 + x2 = 10; 3 14. 7 = 2 15. x – 6 = 30; 6 given number is a solution of the inequality (Do 2) 17. x + 3 > 7; 4 18. 3 + x < 8; 5 19. 10 – x > 2; 9

20. 2x + 1 ≥ 10; 6 4x – 3 ≤ 5; 2 22. 24. x – 5 ≤ 7 ; 13

Word Problems (Do 1) 26.

27.

9 + x > 13; 4 25. 14 – 2x > 5; 4

23.

4x + 1 < 8; 2

Locker Installation Suppose your school is replacing some the old lockers are removed there is a space 200 inches long. width of 8 inches. You want to know how many new lockers can the equation 8x = 200 to model the situation. What do the 8, Solve the equation. Locker Installation Suppose your school is replacing some the old lockers are removed there is a space 144 inches long. width of 8 inches. You want to know how many new lockers can the equation 8x = 144 to model the situation. What do the 8, Solve the equation.

of its lockers. When Each new locker has a be installed. You write x, and 200 represent? of its lockers. When Each new locker has a be installed. You write x, and 144 represent?

Intermediate

Check whether the given number is a solution of the equation (Do 2) 28. 4y – 6 = 2y; 3 29. y +3y = 2y +4; 3 30. 5x + 3 = x + 7; 1 31. 3x – 5 = x -1; 2 32. 17 – 2a3 = 11; 1 33. 5a – 3 = 3 + 2a; 2 34. 5x + 3x = 30 – 2x; 5 35. 3n – n = 10n ; 5 36. a = 26 – 3a3; 2 37. x2 + x3 = x33; 6 Check whether the given number is a solution of the inequality (Do 2) 38. x + 14 ≥ 0; 34 39. 2x2 -1 ≥ 2; 3 40. 4x + 3 ≤ 4x; 2 41. 3 - x2 > 0; 2 42. 6x + 1 ≥ 8x – 7; 2 43. 5x + 1 ≥ x – 3; 4 44. x2 +7 ≥ 5x; 2 45. 6(x + 1) ≥ 8x – 7; 2 46. 10+cc < c -3; 5 47. 0 > x-36; 9 Write a question that could be used to solve the equation. Then solve the equation. ( 1 from each row) Ex. 4 + x = 6 ≫ four plus what number equals 6 4 + x = 6 -4 -4 x = 2 Row 1 48. x – 5 = 3 49. x + 2 = 6 50. 4 + x = 6 Row 2 51. 7x – 19 = 9 52. x – 5 = 13 53. 12 – x = 5 Row 3 54. 4x = 60 55. 3t = 30 56. 5y = 15 Row 4 57. x3 = 64 58. y6 = 64 59. m2 = 144 Word Problem (Do 1) 60. Layer of Earth Earth’s radius is approximately 4010 miles. The crust is approximately 10 miles wide, the mantle is approximately 1800 miles wide, and the inner core has a radius of approximately 800 miles. You want to know the width of the outer core. You write the equation 10 + 1800 + x + 800 = 4010 to model the

situation. What do the 10, 1800, x, 800, and 4010 represent? Solve the equation. 61. Statue of Liberty The Statue of Liberty’s torch has 14 lamps that give off a total of 14,000 watts of light. You want to know how many watts are given off in one lamp if all the lamps are identical. You write the equation 14x = 14, 000 to model the situation. What do the 14, x, and 14,000 represent. Solve the equation.

Mastery Check whether the given number is a solution of the equation (Do 2) 62. 28- x23x = 2 + x+22x; 4 63. 31-x - 92x = 6x; .75 64. 82x+2 = 1x-18; 12 Check whether the given number is a solution of the inequality (Do 2) 65. (2x – 7)4 + 3 ≥ 5x3; 4 66. 5 + 2x2 + 6 < 2x; 3 65. 6 – 4x2 ≤ 6 – 4x ÷ 2 · 5 + 3; 13 Word Problem 66. Video Game System You are budgeting money to buy a video game system that costs $138 including tax. If you save $6 per week, will you have enough money in 6 months? Write an inequality that will represent this situation and tell what each part represents. Then solve the inequality.