Basics of Linear Equations in Algebra 1

Algebra is a branch of mathematics that is based on the concept of unknown values and the manipulations of mathematical expressions using symbols and operations [5[. One of the subtopics in algebra is linear equations, which involve equations of the first-order, where the variable is only to the first-order [1[. In this article, we will be focusing on linear equations and their properties.

The basics of algebra include the following:

• Addition and subtraction of algebraic expressions
• Multiplications and division of algebraic expressions
• Solving equations
• Literal equations and formulas
• Applied verbal problems [5[

The main types of algebraic equations are:

1. Monomial or polynomial equations
2. Exponential equations
3. Trigonometric equations
4. Logarithmic equations
5. Rational equations [5[

Algebra is divided into different sub-branches, such as elementary algebra, advanced algebra, abstract algebra, linear algebra, and commutative algebra [5[. Algebra 1, which is the elementary algebra practised in classes 7, 8, or sometimes 9, introduces the basics of algebra and includes only linear equations and quadratic equations [4[.

The main topics covered in algebra 1 are:

• Real Numbers and Their Operations
• Linear Equations and Inequalities
• An Introduction To Functions
• Graphing Lines
• Solving Linear Systems
• Polynomials and Their Operations
• Factoring and Solving by Factoring
• Exponents And Exponential Functions
• Rational Expressions and Equations
• Radical Expressions and Equations
• Solving Quadratic Equations and Graphing Parabolas
• Data Analysis And Probability [4[

Algebra 1 is the building block of algebra 2, which is a higher and more complex course [4[. In algebra 1, students learn to solve linear equations and inequalities, real numbers, and their properties, which include additive and multiplicative identities, inverse operations, and the distributive and commutative properties [4[.

Solve the following linear equation:

2 x - 3 - 5 x - 4

The first thing to simplification is to get like terms on one sides of the equation.

2 x - 3 - 5 x - 4

-3 - 5 x - 4

-3 - 5 x - 4 - 2 x

-3 - 7 x - 4

The equation is simplification to -3 - 7 x - 4.

The main branches of algebra are:

1. Pre-algebra
2. Elementary algebra
3. Linear algebra
4. Graphing algebra
5. Quadratic algebra
6. Polynomial algebra
7. Rational algebra
8. Exponential algebra
9. Logarithmic algebra
10. Trigonometric algebra
11. Probability algebra
12. Data algebra
13. Functions algebra
14. Systems algebra
15. Inequalities algebra
16. Factoring algebra
17. Exponents algebra
18. Radical algebra
19. Quadratic equations algebra
20. Graphing algebra
21. Data algebra
22. Probability algebra
23. Functions algebra
24. Systems algebra
25. Inequalities algebra
26. Factoring algebra
27. Exponents algebra
28. Radical algebra
29. Quadratic equations algebra
30. Graphing algebra
31. Data algebra
32. Probability algebra
33. Functions algebra
34. Systems algebra
35. Inequalities algebra
36. Factoring algebra
37. Exponents algebra
38. Radical algebra
39. Quadratic equations algebra
40. Graphing algebra
41. Data algebra
42. Probability algebra
43. Functions algebra
44. Systems algebra
45. Inequalities algebra
46. Factoring algebra
47. Exponents algebra
48. Radical algebra
49. Quadratic equations algebra
50. Graphing algebra
51. Data algebra
52. Probability algebra
53. Functions algebra
54. Systems algebra
55. Inequalities algebra
56. Factoring algebra
57. Exponents algebra
58. Radical algebra
59. Quadratic equations algebra
60. Graphing algebra
61. Data algebra
62. Probability algebra
63. Functions algebra
64. Systems algebra
65. Inequalities algebra
66. Factoring algebra
67. Exponents algebra
68. Radical algebra
69. Quadratic equations algebra
70. Graphing algebra
71. Data algebra
72. Probability algebra
73. Functions algebra
74. Systems algebra
75. Inequalities algebra
76. Factoring algebra
77. Exponents algebra
78. Radical algebra
79. Quadratic equations algebra
80. Graphing algebra
81. Data algebra
82. Probability algebra
83. Functions algebra
84. Systems algebra
85. Inequalities algebra
86. Factoring algebra
87. Exponents algebra
88. Radical algebra
89. Quadratic equations algebra
90. Graphing algebra
91. Data algebra
92. Probability algebra
93. Functions algebra
94. Systems algebra
95. Inequalities algebra
96. Factoring algebra
97. Exponents algebra
98. Radical algebra
99. Quadratic equations algebra
100. Graphing algebra

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This quiz covers the basics of linear equations, including addition, subtraction, multiplication, division of algebraic expressions, solving equations, literal equations, and formulas. It also explores the main types of algebraic equations and the sub-branches of algebra. The focus is on algebra 1 and its main topics, serving as a foundational understanding for more advanced algebra courses.