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step by step AI algebra solver

Algebrapop

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Basic and Advance Algebra solver using AlgebraPop powered by Moogle Technology

  • AI Algebra
  • basic math solver
  • Properties of Numbers
  • Expressions & Equations
  • exponents and radicals
  • high-degree polynomials
  • Matrices & Determinants
  • complex numbers
  • conic sections
  • systems of equations
  • word problems
  • sequences and series
  • binomial theorem
  • advanced inequalities
  • partial fractions

Get quick answer on numbers & algebra basic arithmetic fractions decimals percentages ratio and proportions power roots laws of indices simple equations systems of equation inequalities partial fractions and more... problems

Algebrapop Solves Math Problems on...

Step-by-Step Algebra Solver for Accurate Problem Solving

Arithmetic Fundamentals

  1. Operations with integers, fractions, and decimals.
  2. Order of operations (PEMDAS/BODMAS).
  3. Simplifying numerical expressions.

 

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Properties of Numbers

  1. Commutative, associative, and distributive properties.
  2. Identity and inverse properties (addition and multiplication).
  3. Identifying prime numbers and composite numbers.
  4. Greatest common factor (GCF) and least common multiple (LCM).
  5. Divisibility rules.

Fractions and Ratios

  1. Simplifying fractions.
  2. Operations with fractions (addition, subtraction, multiplication, division).
  3. Ratios, proportions, and their applications.

Percentages

  1. Calculating percentages.
  2. Percentage increase/decrease.
  3. Solving problems involving discounts, interest, and profit/loss.

Expressions and Equations

  1. Simplifying algebraic expressions.
  2. Solving linear equations (one variable).
  3. Solving equations with fractions and decimals.
  4. Evaluating expressions using substitution.
  5. Rearranging formulas to isolate specific variables.
  6. Writing and interpreting algebraic equations.

Inequalities

  1. Solving and graphing one-variable inequalities.
  2. Solving compound inequalities (e.g., conjunctions and disjunctions).
  3. Solving absolute value inequalities.
  4. Interval notation and set-builder notation.

Polynomials

  1. Adding, subtracting, and multiplying polynomials.
  2. Dividing polynomials using long division and synthetic division.
  3. Factoring polynomials:
    • Greatest common factor (GCF).
    • Difference of squares.
    • Perfect square trinomials.
    • Factoring trinomials and grouping.
  4. Solving polynomial equations by factoring.

Exponents and Radicals

  1. Laws of exponents (product rule, quotient rule, power of a power).
  2. Zero and negative exponents.
  3. Simplifying expressions with exponents.
  4. Simplifying square roots and higher-order roots.
  5. Rationalizing denominators.
  6. Operations with radicals (addition, subtraction, multiplication, division).
  7. Converting between radical and exponential forms.

Quadratic Equations

  1. Solving by factoring.
  2. Solving by completing the square.
  3. Using the quadratic formula.
  4. Analyzing the discriminant to determine the nature of roots.
  5. Graphing quadratic equations:
    • Standard form and vertex form.
    • Finding the vertex, axis of symmetry, and intercepts.

Higher-Degree Polynomials

  1. Solving polynomial equations of degree 3 or higher.
  2. Graphing polynomial functions.
  3. Analyzing end behavior and turning points.
  4. Using the Rational Root Theorem and Descartes’ Rule of Signs.

Exponential and Logarithmic Functions

  1. Properties of exponents and logarithms.
  2. Solving exponential equations using logarithms.
  3. Solving logarithmic equations.
  4. Converting between exponential and logarithmic forms.
  5. Applications of exponential growth and decay.
  6. Graphing exponential and logarithmic functions.

Complex Numbers

  1. Understanding the definition of complex numbers (a+bia + bi).
  2. Adding, subtracting, multiplying, and dividing complex numbers.
  3. Graphing complex numbers on the complex plane.
  4. Converting between rectangular and polar forms.
  5. Finding modulus and argument of complex numbers.
  6. Solving equations involving complex numbers.

Conic Sections

  1. Definitions and equations of circles, ellipses, parabolas, and hyperbolas.
  2. Graphing conic sections and identifying key features (e.g., foci, vertices, axes).
  3. Writing equations of conic sections in standard form.
  4. Converting general equations to standard form using completing the square.

Systems of Equations and Inequalities

  1. Solving systems of linear equations:
    • Substitution method.
    • Elimination method.
    • Graphical method.
  2. Solving systems of linear inequalities.
  3. Applications of systems in real-world scenarios.

Word Problems

  1. Translating word problems into equations.
  2. Solving problems involving mixtures, rates, and proportions.
  3. Using systems of equations to solve real-world scenarios.

Sequences and Series

  1. Arithmetic and geometric sequences.
  2. Finding the nth term of a sequence.
  3. Summation notation and calculating series.
  4. Infinite series and convergence.

Binomial Theorem

  1. Expanding binomials using the binomial theorem.
  2. Using binomial coefficients (nCknCk) and Pascal’s Triangle.
  3. Applications in probability and algebraic expansions.

Advanced Inequalities

  1. Solving quadratic inequalities.
  2. Solving inequalities involving rational expressions.
  3. Analyzing inequalities with absolute values.