SAT Math Help - Learn by Concept

Learn by Concept

Concepts

• New SAT

  • New SAT Math - Calculator

    • Circles

      • Radians

    • Conversions

      • Solving Word Problems with Multiple Unit Conversions

      • Solving Word Problems with One Unit Conversion

    • Exponents and Roots

      • Properties of Roots and Exponents

    • Graphical Representation of Functions

      • Finding Zeros

      • Graphing Quadratics & Polynomials

    • Inequalities and Absolute Value

      • Systems of Inequalities

    • Polynomials and Quadratics

      • Working with Complex Polynomials

    • Triangles

      • Intersecting Lines and Angles

      • Triangle Similarity

    • Trigonometry

      • Sine, Cosine, & Tangent

    • Word Problems

      • Solving Linear Equations in Word Problems

      • Solving Systems of Equations in Word Problems

    • Word Translations

      • Describing Roles of Variables and Constants

      • Translating Words to Linear Equations

  • New SAT Math - No Calculator

  • New SAT Reading

    • Author's Intent

      • Function of a Paragraph

      • Function of a Word or Phrase

    • Graphs and Tables

      • Interpreting Graphs

      • Interpreting Tables

      • Relating Graphics to the Passage

    • Specific Details

      • Finding Explicit Details

      • Finding Implied Details

    • Universal

      • Author's Main Point

      • Author's Tone and Style

    • Using Evidence

      • Evidence

      • Inference

    • Vocabulary in Context

      • Advanced Vocabulary in Context

      • Basic Vocabulary in Context

      • Technical Vocabulary in Context

  • New SAT Writing and Language

    • Grammar: Modifiers and Sentence Construction

      • Clause Construction

      • Modifiers

      • Parallel Constructions

    • Grammar: Pronouns and Verbs

      • Agreement

      • Pronouns

      • Tense and Timeline

    • Graphs

      • Graph Interpretation

      • Table Interpretation

    • Punctuation

      • Commas

      • Punctuation

    • Rhetoric: Sentences: Paragraphs

      • Adding and Deleting Sentences

      • Author's Intent

      • Ordering Sentences

    • Rhetoric: Words and Phrases

      • Diction

      • Organization Words

      • Redundancy

• SAT Subject Test in Math I

  • Data Analysis and Statistics

    • Mean

    • Median

    • Mode

    • Other Data Analyses

    • Probability

    • Quartiles and Interquartile Range

    • Range

    • Representing Data

  • Functions and Graphs

    • Graphing Functions

      • Graphing Linear Functions

      • Graphing Other Functions

      • Graphing Quadratic Functions

    • Properties of Functions and Graphs

      • Maximum and Minimum

      • Range and Domain

      • Slope

      • X-intercept and y-intercept

    • Solving Functions

      • Solving Exponential Functions

      • Solving Linear Functions

      • Solving Other Functions

      • Solving Quadratic Functions

      • Solving Rational and Fractional Functions

    • Word Problems

      • Solving Functions from Word Problems

  • Geometry

    • 2-Dimensional Geometry

      • Analyzing Figures

      • Area

      • Diameter, Radius, and Circumference

      • Finding Angles

      • Finding Sides

      • Other 2-Dimensional Geometry

      • Perimeter

    • 3-Dimensional Geometry

      • Faces, Face Area, and Vertices

      • Other 3-Dimensional Geometry

      • Surface Area

      • Volume

    • Coordinate Geometry

      • Distance Formula

      • Midpoint Formula

      • Parabolas and Circles

      • Points, Lines, and Rays

      • Symmetry

      • Transformations

  • Mathematical Relationships

    • Absolute Value

    • Elementary Operations

    • Exponents and Logarithms

    • Matrices

    • Other Mathematical Relationships

    • Properties and Identities

    • Ratios and Proportions

    • Sequences

  • Number Theory

    • Irrational Numbers

    • Number Sets

    • Real and Complex Numbers

    • Types of Numbers

  • Single-Variable Algebra

    • Equations Based on Word Problems

    • Simplifying Expressions

    • Solving Equations

    • Solving Inequalities

  • Trigonometry

    • Finding Angles with Trigonometry

    • Finding Sides with Trigonometry

    • Right Triangles and Similar Triangles

    • Secant, Cosecant, Cotangent

    • Sine, Cosine, Tangent

    • Trigonometric Identities

• SAT Subject Test in Math II

  • Data Analysis and Statistics

    • Mean

    • Median

    • Mode

    • Other Data Analyses

    • Probability

    • Quartiles and Interquartile Range

    • Range

    • Representing Data

    • Standard Deviation

  • Functions and Graphs

    • Graphing Functions

      • Graphing Linear Functions

      • Graphing Parametric Functions

      • Graphing Piecewise and Recusive Functions

      • Graphing Quadratic Functions and Conic Sections

      • Graphing Trigonometric Functions

    • Properties of Functions and Graphs

      • Maximum and Minimum

      • Other Properties

      • Range and Domain

      • Slope

      • X-intercept and y-intercept

    • Solving Functions

      • Solving Exponential, Logarithmic, and Radical Functions

      • Solving Linear Functions

      • Solving Piecewise and Recusive Functions

      • Solving Quadratic Functions

      • Solving Rational and Fractional Functions

      • Solving Trigonometric Functions

  • Geometry

    • 2-Dimensional Geometry

      • Analyzing Figures

      • Area

      • Diameter, Radius, and Circumference

      • Finding Angles

      • Finding Sides

      • Other 2-Dimensional Geometry

      • Perimeter

    • 3-Dimensional Geometry

      • 3-Dimensional Axes and Coordinates

      • Faces, Face Area, and Vertices

      • Other 3-Dimensional Geometry

      • Surface Area

      • Volume

    • Coordinate Geometry

      • Circles, Ellipses, and Hyperbolas

      • Distance Formula

      • Midpoint Formula

      • Other Coordinate Geometry

      • Parabolas

      • Symmetry

      • Transformations

  • Mathematical Relationships

    • Absolute Value

    • Elementary Operations

    • Exponents and Logarithms

    • Matrices

    • Other Mathematical Relationships

    • Properties and Identities

    • Ratios and Proportions

    • Sequences

    • Vectors

  • Number Theory

    • Irrational Numbers

    • Number Sets

    • Real and Complex Numbers

    • Types of Numbers

  • Single-Variable Algebra

    • Equations Based on Word Problems

    • Expanding Expressions and FOIL

    • Factoring and Finding Roots

    • Operations with Polynomials

    • Simplifying Expressions

    • Solving Equations

    • Solving Inequalities

    • Systems of Equations

  • Trigonometry

    • Finding Angles with Trigonometry

    • Finding Sides with Trigonometry

    • Law of Cosines

    • Law of Sines

    • Radians and the Unit Circle

    • Sine, Cosine, Tangent

    • Trigonometric Identities

• SAT Mathematics

  • Algebra

    • Algebraic Fractions

      • How to evaluate a fraction

      • How to find excluded values

      • How to find inverse variation

      • How to simplify a fraction

      • How to solve for a variable as part of a fraction

    • Algebraic Functions

      • How to find domain and range of the inverse of a relation

      • How to find f(x)

      • How to find the domain of a function

      • How to use the quadratic function

    • Distributive Property

      • FOIL+1 topic

        • How to use FOIL in the distributive property

    • Equations / Inequalities

      • Factoring Equations+1 topic

        • How to factor an equation

      • Inequalities+4 topics

        • 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

      • 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

      • Solution Sets+1 topic

        • How to find a solution set

      • Systems of Equations+1 topic

        • How to find the solution for a system of equations

    • Exponents

      • Exponential Operations+4 topics

        • How to add exponents

        • How to divide exponents

        • How to multiply exponents

        • How to subtract exponents

      • Exponential Ratios+1 topic

        • How to find a ratio of exponents

      • Exponents and Rational Numbers+2 topics

        • How to find a rational number from an exponent

        • How to find an exponent from a rational number

      • Exponents and the Distributive Property+2 topics

        • How to use FOIL

        • How to use FOIL with Exponents

      • Other Exponents+1 topic

        • How to use scientific notation

      • Pattern Behaviors in Exponents+2 topics

        • How to find compound interest

        • How to find patterns in exponents

      • Squaring / Square Roots / Radicals+11 topics

        • Complex Numbers+4 topics

          • How to add complex numbers

          • How to divide complex numbers

          • How to multiply complex numbers

          • How to subtract complex numbers

        • Factoring Squares+1 topic

          • How to factor a common factor out of squares

        • Square of Difference+1 topic

          • How to find the square of difference

        • Square of Sum+1 topic

          • How to find the square of a sum

    • Expressions

      • Evaluating Expressions+1 topic

        • How to evaluate algebraic expressions

      • Rational Expressions+5 topics

        • How to add rational expressions with a common denominator

        • How to add rational expressions with different denominators

        • How to divide rational expressions

        • How to evaluate rational expressions

        • How to multiply rational expressions

      • Simplifying Expressions+1 topic

        • How to simplify an expression

    • Variables

      • Direct and Inverse Variation+2 topics

        • How to use the direct variation formula

        • How to use the inverse variation formula

      • Factoring+1 topic

        • How to factor a variable

      • Monomials+2 topics

        • How to multiply a monomial by a polynomial

        • How to multiply monomial quotients

      • Polynomials+17 topics

        • Binomials+6 topics

          • Binomial Denominators+1 topic

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

          • Other Binomials+1 topic

            • How to find the solution to a binomial problem

          • Simplifying+1 topic

            • How to simplify binomials

        • Factoring Polynomials+1 topic

          • How to factor a polynomial

        • Polynomial Operations+4 topics

          • How to divide polynomials

          • How to find the degree of a polynomial

          • How to multiply polynomials

          • How to subtract polynomials

        • Trinomials+2 topics

          • How to add trinomials

          • How to factor a trinomial

  • Arithmetic

    • Basic Squaring / Square Roots

      • Factoring Common Factors of Squares and Square Roots+1 topic

        • How to find the common factor of square roots

      • Other Squaring / Square Roots+1 topic

        • How to find the square of an integer

      • Simplifying Square Roots+2 topics

        • How to find the common factors of squares

        • How to simplify square roots

      • Square Roots and Operations+4 topics

        • How to add square roots

        • How to divide square roots

        • How to multiply square roots

        • How to subtract square roots

    • Decimals

      • Basic Squaring / Square Roots+2 topics

        • How to find the square root of a decimal

        • How to square a decimal

      • Decimals with Fractions+2 topics

        • How to find the decimal equivalent of a fraction

        • How to find the fractional equivalent of a decimal

      • Ordering+1 topic

        • How to order decimals from least to greatest or from greatest to least

      • Other Decimals+5 topics

        • How to add decimals

        • How to convert decimals to scientific notation

        • How to divide decimals

        • How to multiply decimals

        • How to subtract decimals

    • Fractions

      • Complex Fractions+3 topics

        • How to add complex fractions

        • How to divide complex fractions

        • How to subtract complex fractions

      • Compound Fractions+1 topic

        • How to find a solution to a compound fraction

      • Decimals with Fractions+2 topics

        • How to find decimal fractions

        • How to find the decimal equivalent of a fraction

      • Fractions and Percentage+2 topics

        • How to find fractional percentages

        • How to find percentage from a fraction

      • Infinite Fractions+1 topic

        • How to find the amount of rational numbers between two numbers

      • Lowest Common Denominator+1 topic

        • How to find the lowest / least common denominator

      • Mixed / Improper Fractions+2 topics

        • How to find out a mixed fraction from an improper fraction

        • How to find out an improper fraction from a mixed fraction

      • Operations with Fractions+4 topics

        • How to add fractions

        • How to divide fractions

        • How to multiply fractions

        • How to subtract fractions

      • Ordering Fractions+1 topic

        • How to order fractions from least to greatest or from greatest to least

      • Proportion / Ratio / Rate+5 topics

        • How to express a fraction as a ratio

        • How to find a ratio

        • How to find proportion

        • How to find rate

        • How to find the ratio of a fraction

      • Reciprocals+1 topic

        • How to find the reciprocal of a fraction

      • Simplifying Fractions+1 topic

        • How to simplify a fraction

      • Whole and Part+2 topics

        • How to find the part from the whole

        • How to find the whole from the part

    • Integers

      • Absolute Value+1 topic

        • How to find absolute value

      • Counting+1 topic

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

      • Even / Odd Numbers+6 topics

        • How to add even numbers

        • How to add odd numbers

        • How to divide even numbers

        • How to multiply even numbers

        • How to multiply odd numbers

        • How to subtract even numbers

      • Factors / Multiples+8 topics

        • Greatest Common Factor+1 topic

          • How to find the greatest common factor

        • Least Common Multiple+1 topic

          • How to find the least common multiple

        • Other Factors / Multiples+1 topic

          • How to factor a number

        • Prime Numbers+1 topic

          • How to find out if a number is prime

      • Negative Numbers+4 topics

        • How to add negative numbers

        • How to divide negative numbers

        • How to multiply negative numbers

        • How to subtract negative numbers

      • Number Line+6 topics

        • Graphing an equation with a number line+1 topic

          • How to graph an equation with a number line

        • Graphing an Inequality with a Number Line+1 topic

          • How to graph an inequality with a number line

        • Other Number Line+1 topic

          • How to find value with a number line

      • Operations+4 topics

        • How to add integers

        • How to divide integers

        • How to multiply integers

        • How to subtract integers

      • Permutation / Combination+2 topics

        • How to find permutation notation

        • How to find the greatest or least number of combinations

      • Sequences+10 topics

        • Arithmetic Sequences+5 topics

          • nth Term of an Arithmetic Sequence+2 topics

            • How to find the next term in an arithmetic sequence

            • How to find the nth term of an arithmetic sequence

          • Other Arithmetic Sequences+1 topic

            • How to find the answer to an arithmetic sequence

        • Common Difference in Sequences+1 topic

          • How to find the common difference in sequences

        • Consecutive Integers+1 topic

          • How to find consecutive integers

      • Sets+1 topic

        • How to find the missing number in a set

    • Order of Operations

      • How to find order of operations

    • Percentage

      • Decimals and Percentage+2 topics

        • How to find decimal equivalent to a percentage

        • How to find percentage equivalent to a decimal

      • Fractions and Percentage+2 topics

        • How to find a fraction from a percentage

        • How to find percentage from a fraction

      • Interest+1 topic

        • How to find simple interest

      • Other Percentage+1 topic

        • How to find percentage

      • Percent of Change+2 topics

        • How to find the percent of decrease

        • How to find the percent of increase

      • Profit Margin+1 topic

        • How to find amount of profit

      • Sale Prices+1 topic

        • How to find the sale price

      • Sales tax+1 topic

        • How to find the amount of sales tax

      • Whole and Part+2 topics

        • How to find the part from the whole with percentage

        • How to find the whole from the part with percentage

  • Data Analysis

    • Probability

      • Outcomes+1 topic

        • How to find the probability of an outcome

    • Statistics

      • Arithmetic Mean+1 topic

        • How to find arithmetic mean

      • Median+1 topic

        • How to find median

      • Mode+1 topic

        • How to find mode

      • Range+1 topic

        • How to find range

    • Venn Diagrams

      • Intersection+1 topic

        • How to find the intersection of a Venn Diagram

      • Union+1 topic

        • How to find the union of a Venn Diagram

  • Geometry

    • Coordinate Geometry

      • Circles+1 topic

        • How to find the equation of a circle

      • Graphing+6 topics

        • 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 ordered pair

      • Lines+17 topics

        • Distance Formula+1 topic

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

        • Midpoint Formula+2 topics

          • How to find the endpoints of a line segment

          • How to find the midpoint of a line segment

        • Other Lines+3 topics

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

          • How to find slope of a line

          • How to find the equation of a line

        • 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

      • Transformation+1 topic

        • How to find transformation for an analytic geometry equation

      • x and y Intercept+2 topics

        • How to find the equation of a curve

        • How to find x or y intercept

    • Plane Geometry

      • Circles+16 topics

        • Chords+1 topic

          • How to find the length of a chord

        • Clock Math+1 topic

          • How to find the angle of clock hands

        • Diameter+2 topics

          • How to find the length of the diameter

          • How to find the ratio of diameter and circumference

        • Radius+3 topics

          • How to find circumference

          • How to find the area of a circle

          • How to find the length of a radius

        • Sectors+4 topics

          • How to find the angle of a sector

          • How to find the area of a sector

          • How to find the length of an arc

          • How to find the percentage of a sector from an angle

      • Hexagons+5 topics

        • How to find an angle in a hexagon

        • How to find the area of a hexagon

        • How to find the length of the diagonal of a hexagon

        • How to find the length of the side of a hexagon

        • How to find the perimeter of a hexagon

      • Lines+1 topic

        • How to find the angle of two lines

      • Other Polygons+3 topics

        • How to find an angle in a polygon

        • How to find the area of a polygon

        • How to find the length of a side of a polygon

      • Pentagons+3 topics

        • How to find an angle in a pentagon

        • How to find the length of the side of a pentagon

        • How to find the perimeter of a pentagon

      • Quadrilaterals+21 topics

        • Other Quadrilaterals+2 topics

          • How to find an angle in a quadrilateral

          • How to find if quadrilaterals are similar

        • Parallelograms+2 topics

          • How to find the area of a parallelogram

          • How to find the perimeter of a parallelogram

        • Rectangles+4 topics

          • How to find the area of a rectangle

          • How to find the length of the diagonal of a rectangle

          • How to find the length of the side of a rectangle

          • How to find the perimeter of a rectangle

        • Rhombuses+2 topics

          • How to find the area of a rhombus

          • How to find the perimeter of a rhombus

        • Squares+3 topics

          • How to find the area of a square

          • How to find the length of the side of a square

          • How to find the perimeter of a square

        • Trapezoids+2 topics

          • How to find the area of a trapezoid

          • How to find the length of the side of a trapezoid

      • Triangles+29 topics

        • Acute / Obtuse Triangles+6 topics

          • How to find an angle in an acute / obtuse triangle

          • How to find if two acute / obtuse triangles are similar

          • How to find the area of an acute / obtuse triangle

          • How to find the height of an acute / obtuse triangle

          • How to find the length of the side of an acute / obtuse triangle

          • How to find the perimeter of an acute / obtuse triangle

        • Equilateral Triangles+4 topics

          • How to find the area of an equilateral triangle

          • How to find the height of a triangle

          • How to find the length of the side of an equilateral triangle

          • How to find the perimeter of an equilateral triangle

        • Isosceles Triangles+9 topics

          • 45/45/90 Right Isosceles Triangles+3 topics

            • How to find the length of the hypotenuse of a 45/45/90 right isosceles triangle : Pythagorean Theorem

            • How to find the length of the side of a 45/45/90 right isosceles triangle

            • How to find the perimeter of a 45/45/90 right isosceles triangle

          • Acute / Obtuse Isosceles Triangles+4 topics

            • How to find an angle in an acute / obtuse isosceles triangle

            • How to find if acute / obtuse isosceles triangles are similar

            • How to find the length of the side of an acute / obtuse isosceles triangle

            • How to find the perimeter of an acute / obtuse isosceles triangle

        • Right Triangles+6 topics

          • How to find an angle in a right triangle

          • How to find if right triangles are similar

          • How to find the area of a right triangle

          • How to find the length of the hypotenuse of a right triangle : Pythagorean Theorem

          • How to find the length of the side of a right triangle

          • How to find the perimeter of a right triangle

    • Solid Geometry

      • Cones+2 topics

        • How to find the surface area of a cone

        • How to find the volume of a cone

      • Cubes+4 topics

        • How to find the diagonal of a cube

        • How to find the length of an edge of a cube

        • How to find the surface area of a cube

        • How to find the volume of a cube

      • Cylinders+2 topics

        • How to find the surface area of a cylinder

        • How to find the volume of a cylinder

      • Other Polyhedrons+1 topic

        • How to find the volume of a polyhedron

      • Prisms+4 topics

        • How to find the diagonal of a prism

        • How to find the length of an edge of a prism

        • How to find the surface area of a prism

        • How to find the volume of a prism

      • Pyramids+3 topics

        • How to find the length of an edge of a pyramid

        • How to find the surface area of a pyramid

        • How to find the volume of a pyramid

      • Spheres+4 topics

        • How to find the diameter of a sphere

        • How to find the radius of a sphere

        • How to find the surface area of a sphere

        • How to find the volume of a sphere

• SAT Math

  • Advanced Polygons & 3D Shapes

    • Working with 3-D Shapes

    • Working with Polygons with More than 4 Sides

    • Working with Quadrilaterals

  • Circles

    • Applying the Equation of a Circle

    • Calculating Area & Circumference

    • Using Radians

    • Working with Inscribed Shapes

  • Data & Conclusions

    • Drawing Logical Conclusions

  • Divisibility & Number Fluency

    • Applying Number Properties

    • Simplifying Fractions

    • Working with Fractions

  • Exponents & Roots

    • Identifying Properties of Roots & Exponents

    • Solving Problems with Exponents

    • Solving Problems with Roots

    • Working with Imaginary Numbers

  • Functions

    • Understanding Functions

    • Working with Function Notation

  • Graphical Representation of Functions

    • Finding Zeros

    • Graphing Inequalities

    • Graphing Linear Equations

    • Graphing Quadratics & Polynomials

  • Inequalities & Absolute Value

    • Solving Systems of Inequalities

    • Understanding Absolute Values

    • Understanding Inequalities

    • Working with Inequalities and Absolute Value

  • Interpreting Graphs & Tables

    • Completing Incomplete Tables

    • Drawing Conclusions from Graphs & Tables

    • Interpreting Graphs

  • Linear Algebra

    • Finding Equivalence of Linear Expressions

    • Solving Linear Equations

    • Solving Systems of Equations

  • Polynomials & Quadratics

    • Factoring Quadratics

    • Simplifying Polynomials

    • Using Polynomial Division

    • Working with Complex Polynomials

  • Probability & Statistics

    • Calculating Probability

    • Working with Statistics

  • Ratios, Proportions, & Percents

    • Applying Percents to Word Problems

    • Calculating Percents

    • Extrapolating Exponential Proportions

    • Extrapolating Linear Proportions

  • Solving Word Problems

    • Solving Linear Equations in Word Problems

    • Solving Systems of Equations in Word Problems

    • Solving Word Problems with Multiple Unit Conversions

    • Solving Word Problems with One Unit Conversion

  • Triangles, Lines, & Angles

    • Applying Triangle Similarity

    • Intersecting Lines & Angles

    • Knowing Essential Properties of Triangles

  • Trigonometry

    • Using Sine, Cosine, & Tangent

  • Word Translations & Equation Interpretation

    • Describing Exponential vs. Linear Change

    • Describing Roles of Variables & Constants

    • Translating Words to Absolute Values

    • Translating Words to Inequalities

    • Translating Words to Linear Equations