Algebra Help - Learn by Concept

Learn by Concept

Concepts

• Algebra 3/4

  • Basic Trigonometry

  • Functions & Relations

  • Properties of Logarithms & Exponents

  • Simplify Functions

    • Simplify Radical Expressions

• Algebra 1

  • Distributive Property

    • How to use FOIL in the distributive property

    • How to use the grid method for FOIL

  • Equations / Inequalities

    • Systems of Equations

      • Equations / Solution Sets+3 topics

        • How to factor an equation

        • How to find a solution set

        • How to find the solution for a system of equations

      • Linear / Rational / Variable Equations+3 topics

        • How to find out when an equation has no solution

        • How to find the solution to a rational equation with LCD

        • How to find the solution to an equation

      • Quadratic Equations+2 topics

        • How to factor the quadratic equation

        • How to find the solution to a quadratic equation

    • Systems of Inequalities

      • How to find the solution to an inequality with addition

      • How to find the solution to an inequality with division

      • How to find the solution to an inequality with multiplication

      • How to find the solution to an inequality with subtraction

  • Functions and Lines

    • Algebraic Functions

      • How to find direct variation

      • How to find f(x)

      • How to find inverse variation

      • How to find the domain of a function

      • How to use the quadratic function

    • Equations of Lines

      • Midpoint Formula+2 topics

        • How to find the endpoints of a line segment

        • How to find the midpoint of a line segment

      • Parallel Lines+3 topics

        • How to find out if lines are parallel

        • How to find the equation of a parallel line

        • How to find the slope of parallel lines

      • Perpendicular Lines+3 topics

        • How to find out if lines are perpendicular

        • How to find the equation of a perpendicular line

        • How to find the slope of perpendicular lines

      • Points and Distance Formula+2 topics

        • How to find out if a point is on a line with an equation

        • How to find the length of a line with distance formula

      • Slope and Line Equations+2 topics

        • How to find slope of a line

        • How to find the equation of a line

    • Graphing

      • How to graph a function

      • How to graph a line

      • How to graph a point

      • How to graph a quadratic function

      • How to graph a two-step inequality

      • How to graph an absolute value function

      • How to graph an exponential function

      • How to graph an ordered pair

    • Sequences

      • How to find consecutive integers

      • How to find the answer to an arithmetic sequence

      • How to find the common difference in sequences

      • How to find the next term in an arithmetic sequence

      • How to find the nth term of an arithmetic sequence

  • Linear Equations

    • Converting Measurements

    • How to solve absolute value equations

    • How to solve one-step equations

    • How to solve two-step equations

    • How to write expressions and equations

    • Percents

    • Proportions

  • Linear Inequalities

    • Absolute Value Inequalities

    • Graphing Inequalities

    • Writing inequalities

  • Percents

    • Decimals and Percentage

      • How to find decimal equivalent to a percentage

      • How to find percentage equivalent to a decimal

    • Fractions and Percentage

      • How to find a fraction from a percentage

      • How to find fractional percentages

      • How to find percentage from a fraction

    • Monetary Percentage

      • How to find amount of profit

      • How to find simple interest

      • How to find the amount of sales tax

      • How to find the sale price

    • Percent of Change

      • How to find the percent of decrease

      • How to find the percent of increase

    • Whole and Part

      • How to find the part from the whole with percentage

      • How to find the whole from the part with percentage

  • Real Numbers

    • Counting / Sets

      • How to find the missing number in a set

      • How to find the number of integers between two other integers

    • Integer Operations

      • How to add integers

      • How to divide integers

      • How to multiply integers

      • How to subtract integers

    • Number Lines and Absolute Value

      • How to find absolute value

      • How to find value with a number line

      • How to graph an inequality with a number line

      • How to plot fractions on a number line

  • Statistics and Probability

    • How to find interquartile range

    • How to find mean

    • How to find median

    • How to find mode

    • How to find range

    • How to find standard deviation

  • Variables

    • Monomials

      • How to divide monomial quotients

      • How to multiply a monomial by a polynomial

      • How to multiply monomial quotients

    • Polynomials

      • Binomials+5 topics

        • How to find the solution of a rational equation with a binomial denominator

        • How to find the solution to a binomial problem

        • How to find the value of the coefficient

        • How to multiply binomials with the distributive property

        • How to simplify binomials

      • Factoring Polynomials+2 topics

        • How to factor a polynomial

        • How to factor a variable

      • Polynomial Operations+5 topics

        • How to add polynomials

        • How to divide polynomials

        • How to find the degree of a polynomial

        • How to multiply polynomials

        • How to subtract polynomials

      • Trinomials+5 topics

        • How to add trinomials

        • How to divide trinomials

        • How to factor a trinomial

        • How to multiply trinomials

        • How to subtract trinomials

• High School: Algebra

  • Arithmetic with Polynomials & Rational Expressions

    • Different Forms of Simple Rational Expressions: CCSS.Math.Content.HSA-APR.D.6

    • Identify Zeros, Factor and Graph Polynomials: CCSS.Math.Content.HSA-APR.B.3

    • Polynomial Identities and Numerical Relationships: CCSS.Math.Content.HSA-APR.C.4

    • Polynomials: CCSS.Math.Content.HSA-APR.A.1

    • Rational Expressions: CCSS.Math.Content.HSA-APR.D.7

    • Remainder Theorem: CCSS.Math.Content.HSA-APR.B.2

    • Using the Binomial Theorem for Expansion: CCSS.Math.Content.HSA-APR.C.5

  • Creating Equations✭

    • Equations with Two or More Variables: CCSS.Math.Content.HSA-CED.A.2

    • One Variable Equations and Inequalities: CCSS.Math.Content.HSA-CED.A.1

    • Rearrange Formulas and Solve Equations: CCSS.Math.Content.HSA-CED.A.4

    • System of Equations and Inequalities: CCSS.Math.Content.HSA-CED.A.3

  • Reasoning with Equations & Inequalities

    • Graph Two Variable Linear Equations and System of Linear Equations as a Half Plane: CCSS.Math.Content.HSA-REI.D.12

    • Matrix Representation of Linear Equations: CCSS.Math.Content.HSA-REI.C.8

    • Plotted Solutions and the Graph of Two Variable Equations: CCSS.Math.Content.HSA-REI.D.10

    • Solve One Variable Linear Equations and Inequalities: CCSS.Math.Content.HSA-REI.B.3

    • Solve Quadratic Equations by Inspection, Quadratic Formula, Factoring, Completing the Square, and Taking Square Roots: CCSS.Math.Content.HSA-REI.B.4b

    • Solve Simple Rational and Radical One Variable Equations, Show Extraneous Solutions: CCSS.Math.Content.HSA-REI.A.2

    • Solve Simple System of Two Variable Linear and Quadratic Equations: CCSS.Math.Content.HSA-REI.C.7

    • Solve System of Equations Using Substitution: CCSS.Math.Content.HSA-REI.C.5

    • Solve Systems of Linear Equations Exactly and Approximately: CCSS.Math.Content.HSA-REI.C.6

    • Solving an Equation Step-by-Step: CCSS.Math.Content.HSA-REI.A.1

    • Use Completing the Square to Derive the Quadratic Formula: CCSS.Math.Content.HSA-REI.B.4a

    • Use Graph Points to Approximate Solutions: CCSS.Math.Content.HSA-REI.D.11

    • Use Matrix Inverse to Solve System of Linear Equations: CCSS.Math.Content.HSA-REI.C.9

  • Seeing Structure in Expressions

    • Calculate Maximum or Minimum of Quadratic by Completing the Square: CCSS.Math.Content.HSA-SSE.B.3b

    • Derive the Sum of a Finite Geometric Series Formula to Solve Problems: CCSS.Math.Content.HSA-SSE.B.4

    • Find Zeros of a Quadratic by Factoring: CCSS.Math.Content.HSA-SSE.B.3a

    • Interpret Complicated Expressions: CCSS.Math.Content.HSA-SSE.A.1b

    • Interpret Terms, Factors, and Coefficients of an Expression: CCSS.Math.Content.HSA-SSE.A.1a

    • Rewriting Expressions Using its Structure: CCSS.Math.Content.HSA-SSE.A.2