# Algebra, Introduction to Algebra

## Introduction to Algebra

Algebra is a section of math which concerns with rules of relations and operations and the concepts and constructions that includes polynomials, algebraic structure, equations, algebraic terms etc. Basically, lower grade and middle grade students are thought pre-algebra which includes the basic algebra. Primary and high school students are thought the advanced algebra. In this section, we will be discussing more about algebra - l and advanced algebra. So, if you’re interested in starting off with Pre-algebra, we would recommend you to visit – Pre-Algebra. |

## Difference between Pre-Algebra and Algebra - l

Let us understand the difference between pre-algebra and algebra - l. Pre-algebra normally introduces the basic algebraic concepts like decimals, fractions, percentage, exponents, squares and square roots etc.

Pre-algebra also deals with algebraic expressions and equations where the alphabetic characters come into place of numbers, such as: x + 6 = 12. Hence, pre-algebra is very useful to understand the basic concepts of algebra.

Algebra starts with single variable equation and advances to multiple variable equations, polynomials, quadratic equations, Cartesian coordinate system, rational and irrational numbers and metric operations that involves multiple dimensions.

Linear equations and slope intercept forms like ay + bx = c.

Quadratic equations like ay^{2} + by + c = d

Polynomials and factoring polynomials are also one of the major concepts of algebra and one of the main concepts would also include ratios and proportions.

## Difference between Algebra – l and Algebra – ll

Just like pre-algebra which has been taught for lower grade and primary school students, Algebra – ll or Advanced Algebra is taught for high school students. Hence, there are various algebra topics which are taught only for high school students which is known as Algebra – ll. Let us understand the difference between algebra – l and algebra – ll with the help of below table.

Chapters covered in Algebra 1 & 2 | Chapters covered only in Algebra 2 |

Factors and products of polynomials | Joint and inverse variation, factor and remainder theorems, synthetic divisions. |

Rational and irrational numbers | Hyperbola, parabola, mid-point formula, ellipse. |

Complex number | Quadratic system, system of linear equation. |

Quadratic functions and equations | Logarithmic and exponential functions |

Matrices, determinants | |

Sequences and series |

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