Algebra Calculator, Free and Interactive Algebra Calculator and Graph, Factorise and Simplify

Algebra calculator

We must admit it, as an engineer, whether we are calculating load distributions or optimizing electrical circuits or anything else, algebra calculator is a very useful tool for solving these problems because calculating algebra with steps manually will take longer time.

You can try our special interactive algebra calculator and tell us about your opinion.

Get to know who is algebra (What is algebra ;D)?

Algebra is a mathematics branch that uses symbols like x and y to represent numbers in formulas and equations. Algebra is different with basic arithmetic, algebra deals with specific numbers, algebra allows us to describe general patterns and solve for unknown values. It is the art of balancing equations to find the hidden number.

The core formula of algebra

Try to solve these algebra case

Where do we actually use algebra calculation?

If engpocket friends think algebra is just for textbooks, think again. Here are the most common real life applications where an algebra calculator becomes engpocket friend's best friend:

• Structural engineering: Calculating how much weight a bridge can hold by solving for unknown forces.
• Electrical design: Using Ohm’s Law (V = I x R) to find the required resistance when the voltage and current are known.
• HVAC & thermodynamics: Calculate the required BTU for a room based on its volume and insulation variables.
• Business & finance: Calculate the break even point where total revenue equals total costs.

100 algebra examples case calculation for engpocket friends self study guide

Use these examples to test engpocket friends knowledge. We can of course input these into our algebra calculator to see the step by step breakdown.

Basic one step equations (Addition & subtraction)

1. x + 5 = 10 -> x = 5
   
   
2. x - 8 = 12 -> x = 20
   
   
3. 15 + x = 30 -> x = 15
   
   
4. x - 10 = -5 -> x = 5
   
   
5. 20 - x = 5 -> x = 15
   
   
6. x + 100 = 250 -> x = 150
   
   
7. x - 4.5 = 10 -> x = 14.5
   
   
8. 7.2 + x = 15 -> x = 7.8
   
   
9. x - 50 = 50 -> x = 100
   
   
10. x + 13 = 13 -> x = 0
    
    
11. x - 0.5 = 2.5 -> x = 3
    
    
12. 40 + x = 10 -> x = -30
    
    
13. x - 9 = -1 -> x = 8
    
    
14. x + 25 = 75 -> x = 50
    
    
15. 18 - x = 20 -> x = -2

Basic One-Step Equations (Multiplication & Division)

16. 2x = 10 -> x = 5

17. 5x = 25 -> x = 5

18. x / 2 = 8 -> x = 16

19. x / 4 = 10 -> x = 40

20. 10x = 100 -> x = 10

21. 3x = 21 -> x = 7

22. x / 3 = 9 -> x = 27

23. 0.5x = 4 -> x = 8

24. 4x = 2 -> x = 0.5

25. x / 5 = 2.5 -> x = 12.5

26. -2x = 10 -> x = -5

27. -3x = -15 -> x = 5

28. x / 10 = 0.1 -> x = 1

29. 12x = 48 -> x = 4

30. x / 0.5 = 10 -> x = 5

Two step equations

31. 2x + 5 = 15 -> 2x = 10 -> x = 5

32. 3x - 4 = 11 -> 3x = 15 -> x = 5

33. 5x + 10 = 60 -> 5x = 50 -> x = 10

34. 4x - 8 = 12 -> 4x = 20 -> x = 5

35. x / 2 + 3 = 7 -> x / 2 = 4 -> x = 8

36. 10x + 2 = 22 -> 10x = 20 -> x = 2

37. 6x - 18 = 0 -> 6x = 18 -> x = 3

38. 2x + 10 = 4 -> 2x = -6 -> x = -3

39. 7x + 7 = 49 -> 7x = 42 -> x = 6

40. x / 4 - 1 = 4 -> x / 4 = 5 -> x = 20

41. 9x + 1 = 82 -> 9x = 81 -> x = 9

42. 8x - 16 = 64 -> 8x = 80 -> x = 10

43. 3x + 12 = 3 -> 3x = -9 -> x = -3

44. 5x - 25 = 0 -> 5x = 25 -> x = 5

45. x / 10 + 5 = 6 -> x / 10 = 1 -> x = 10

Equations with variables on both sides

46. 2x = x + 5 -> x = 5

47. 3x = x + 10 -> 2x = 10 -> x = 5

48. 5x - 2 = 3x + 4 -> 2x = 6 -> x = 3

49. 4x + 10 = 2x + 20 -> 2x = 10 -> x = 5

50. 10x - 5 = 5x + 20 -> 5x = 25 -> x = 5

51. 7x + 2 = 4x + 11 -> 3x = 9 -> x = 3

52. 8x - 10 = 2x + 14 -> 6x = 24 -> x = 4

53. 6x + 6 = 2x + 22 -> 4x = 16 -> x = 4

54. x + 15 = 4x -> 3x = 15 -> x = 5

55. 9x - 9 = 0 -> x = 1

56. 2x + 3 = 5x - 6 -> 3x = 9 -> x = 3

57. 12x = 4x + 16 -> 8x = 16 -> x = 2

58. 15x + 5 = 10x + 30 -> 5x = 25 -> x = 5

59. 20x - 40 = 10x -> 10x = 40 -> x = 4

60. 3x + 4 = x + 12 -> 2x = 8 -> x = 4

Equations with parentheses

61. 2(x + 3) = 10 -> 2x + 6 = 10 -> x = 2

62. 3(x - 1) = 9 -> 3x - 3 = 9 -> x = 4

63. 5(x + 2) = 25 -> 5x + 10 = 25 -> x = 3

64. 4(2x - 1) = 12 -> 8x - 4 = 12 -> x = 2

65. 10(x - 5) = 50 -> 10x - 50 = 50 -> x = 10

66. 2(3x + 4) = 20 -> 6x + 8 = 20 -> x = 2

67. 3(2x - 2) = 12 -> 6x - 6 = 12 -> x = 3

68. 4(x + 1) = 8 -> 4x + 4 = 8 -> x = 1

69. 5(x - 3) = 0 -> 5x = 15 -> x = 3

70. 2(x + 10) = 40 -> 2x + 20 = 40 -> x = 10

71. 6(x / 2) = 12 -> 3x = 12 -> x = 4

72. 0.5(x + 4) = 10 -> x + 4 = 20 -> x = 16

73. 3(x + 5) = 30 -> x + 5 = 10 -> x = 5

74. 2(x - 8) = -6 -> 2x - 16 = -6 -> x = 5

75. 8(x + 1) = 64 -> x + 1 = 8 -> x = 7

Miscellaneous & mixed problems

76. x + x + 2 = 10 -> 2x = 8 -> x = 4

77. 3x + x = 20 -> 4x = 20 -> x = 5

78. 5x - x = 12 -> 4x = 12 -> x = 3

79. 10 - 2x = 0 -> 2x = 10 -> x = 5

80. 100 / x = 10 -> x = 10

81. 50 / x = 2 -> x = 25

82. x / 0.1 = 50 -> x = 5

83. 2x + 3x + 4x = 18 -> 9x = 18 -> x = 2

84. 4x - 2x = 10 -> 2x = 10 -> x = 5

85. x + 0.5x = 15 -> 1.5x = 15 -> x = 10

86. 2(x + x) = 20 -> 4x = 20 -> x = 5

87. x - 0.2x = 80 -> 0.8x = 80 -> x = 100

88. 3x + 9 = 3 -> 3x = -6 -> x = -2

89. x / 5 + x / 5 = 4 -> 2x / 5 = 4 -> x = 10

90. 12 - 4x = 4 -> 4x = 8 -> x = 2

91. 2x + 1 = x + 1 -> x = 0

92. 5x + 5 = 10x -> 5x = 5 -> x = 1

93. 4(x + 2) = 4x + 8 -> Solution

94. x + 5 = x + 10 -> No solution

95. 2x / 4 = 1 -> 0.5x = 1 -> x = 2

96. 3x - 1 = 2 -> x = 1

97. 5x + 5 = 30 -> x = 5

98. x / 2 = 100 -> x = 200

99. 0.1x = 10 -> x = 100

100. x + 1 + 2 + 3 = 10 -> x + 6 = 10 -> x = 4

We want to make the clearest post about algebra, that is why we do not just make the algebra calculator, we also provide the formula of algebra with steps and also algebra calculator graph.

Hope this post helps Engpocket friends solve your daily algebra problems.