Algebra 1 is part of algebraic mathematics which can be define as branch of mathematics in which we represent the components of a specified Set or the numbers by use of symbols, alphabetical letters to express general relationship between the components of set. Algebra 1 is a broad topic which covers several topics like from addition and subtraction Positive and Negative Numbers to Solving Rational Equations.
1: Real numbers: This topic contains Rational Numbers on number line, addition(+), subtraction(-) multiplication($\times$), division of rational numbers, square root(√x) and Cube root (x1/3) of Real Numbers.
2: Solution of Linear Equations: In this topic of algebra 1 we learn about writing equation one to multi step to solving them by using property of addition(2x+3x=5x),subtraction(5x-2x=3x),multiplication(7x $\times$ 8x = 56 $\times$ 2)and division($\frac{12x}{4x}$ = 3) with variable on each side. Also the properties of ratio(a:b) and proportion(a:b::c:d),percentage(%) are come under this branch.
3: Factoring: This topic of algebra 1 contain greatest common factor, factorizing of trinomials (ax2 + bx + c) by splitting middle term or by method of perfect Square.
4: Statistics: It is another branch of algebra 1 under it introductory matrices, measure of variation, making of Histograms, sampling and bias are come.
5: Probability: This branch of algebra 1 contains possibility of occurring of an event from a group of events under (distributional, conditional, binomial etc.). It also contains Permutation (npr) and Combination (ncr).
6: Solving system of linear equation and inequalities: linear equation of one and two variables, and method of solving them by substitution, elimination, completing square method, solving by graphical method are come under this branch of algebra 1.
There are several other topics come under the algebra 1 like: Polynomials, Quadratic and exponential Functions, Radical expression and Triangles, Rational expression and equations, Graphing relation and function, Analyzing linear equations, Solving Linear Inequalities.