GRE Help - Learn by Concept

Concepts

• GRE Quantitative Reasoning

  • 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 f(x)

    • 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 Equation+2 topics

        • How to factor the quadratic equation

        • How to find the solution to a quadratic equation

    • 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+1 topic

        • How to use FOIL

      • 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

    • Expressions

      • Evaluating Expressions+1 topic

        • How to evaluate algebraic expressions

      • Rational Expressions+6 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

        • How to subtract rational expressions with different denominators

      • Simplifying Expressions+1 topic

        • How to simplify an expression

  • 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+5 topics

        • How to add square roots

        • How to divide square roots

        • How to find a ratio of 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

      • Decimal Operations+4 topics

        • How to add decimals

        • How to divide decimals

        • How to multiply decimals

        • How to subtract decimals

      • Decimals with Fractions+3 topics

        • How to find decimal fractions

        • 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+1 topic

        • How to convert decimals to scientific notation

    • Fractions

      • Complex Fractions+5 topics

        • How to add complex fractions

        • How to divide complex fractions

        • How to find a complex fraction

        • How to multiply complex fractions

        • How to subtract complex fractions

      • Compound Fractions+1 topic

        • How to find a solution to a compound fraction

      • Decimals with Fractions+3 topics

        • How to find decimal fractions

        • How to find the decimal equivalent of a fraction

        • How to find the fractional equivalent of a decimal

      • Fractions and Percentage+3 topics

        • How to find a fraction from a percentage

        • 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+4 topics

        • How to add fractions

        • How to divide fractions

        • How to multiply fractions

        • How to subtract fractions

      • Ordering+1 topic

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

      • Proportion / Ratio / Rate+6 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

        • How to find the volume of a solution

      • 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+8 topics

        • How to add even numbers

        • How to add odd numbers

        • How to divide even numbers

        • How to divide odd numbers

        • How to multiply even numbers

        • How to multiply odd numbers

        • How to subtract even numbers

        • How to subtract odd 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+4 topics

        • 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+5 topics

        • How to add integers

        • How to divide integers

        • How to find order of operations

        • How to multiply integers

        • How to subtract integers

      • 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

    • 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+3 topics

        • How to find a fraction from a percentage

        • How to find fractional percentages

        • 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

        • How to find the whole from the part

    • Permutation / Combination

      • How to find permutation notation

      • How to find the greatest or least number of combinations

  • 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

      • Graphing+2 topics

        • How to graph a function

        • How to graph a line

      • 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 the equation of a line

          • How to find the slope of a line

        • Parallel Lines+3 topics

          • How to find out if lines are parallel

          • How to find the equation of parallel lines

          • 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 a perpendicular line

      • x and y Intercept+2 topics

        • How to find the equation of a curve

        • How to find x or y intercept

    • Plane Geometry

      • Circles+18 topics

        • Chords+1 topic

          • How to find the length of a chord

        • Clock Math+2 topics

          • How to find the angle of clock hands

          • How to find the distance between 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+5 topics

          • How to find the angle for a percentage of a circle

          • 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+1 topic

        • How to find an angle in a hexagon

      • Pentagons+2 topics

        • How to find an angle in a pentagon

        • How to find the area of a pentagon

      • Quadrilaterals+16 topics

        • Parallelograms+4 topics

          • How to find an angle in a parallelogram

          • How to find the area of a parallelogram

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

          • How to find the perimeter of a parallelogram

        • Rectangles+5 topics

          • How to find if rectangles are similar

          • 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

        • Squares+4 topics

          • How to find the area of a square

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

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

          • How to find the perimeter of a square

      • Triangles+22 topics

        • Acute / Obtuse Triangles+4 topics

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

          • How to find the area 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 an equilateral triangle

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

          • How to find the perimeter of an equilateral triangle

        • Isosceles Triangles+3 topics

          • Acute / Obtuse Isosceles Triangles+2 topics

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

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

        • Right Triangles+7 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 height 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

      • 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

      • Prisms+3 topics

        • 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

      • 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

• GRE Subject Test: Physics

  • Electromagnetics, Waves, and Optics

    • Electromagnetics

      • Circuits

    • Optics

      • Lenses

      • Mirrors

      • Polarization

      • Reflection and Refraction

    • Waves

      • Diffraction

      • Doppler Effect

      • Fundamental Properties

      • Interference

  • Mechanics

    • Newtonian Mechanics

      • Circular and Rotational Motion

  • Quantum Mechanics and Atomic Physics

    • Atomic Properties

      • Atomic Spectra

    • Quantum Mechanics

      • Fundamental Concepts

      • Square Wells/Particle in a Box

  • Special Relativity

    • Energy and Momentum

    • Four Vectors

    • Introductory Concepts

    • Length Contraction

    • Time Dilation

  • Special Topics

    • Astrophysics

• GRE Verbal Reasoning

  • Reading Comprehension

    • Multiple-Answer Questions

      • Analysis and Synthesis in Multiple-Answer Questions+4 topics

        • Analyzing the Text in Other Ways in Multiple-Answer Questions

        • Considering Other Explanations in Multiple-Answer Questions

        • Differentiating Between Main Ideas and Details in Multiple-Answer Questions

        • Drawing Conclusions and Making Inferences in Multiple-Answer Questions

      • Argument in Multiple-Answer Questions+2 topics

        • Analyzing Components of an Argument in Multiple-Answer Questions

        • Analyzing Point of View, Assumptions, and Bias in Multiple-Answer Questions

      • Meaning and Structure in Multiple-Answer Questions+3 topics

        • Summarizing and Describing Passage Content in Multiple-Answer Questions

        • Understanding the Meaning of Phrases, Sentences, and Paragraphs in Multiple-Answer Questions

        • Understanding the Meaning of Words in Multiple-Answer Questions

    • Quotation-Selection Questions

      • Identifying Quotations Based on Their Function in the Passage

      • Identifying Support and Evidence in the Passage

    • Single-Answer Questions

      • Analysis and Synthesis in Single-Answer Questions+2 topics

        • Analyzing the Text in Other Ways in Single-Answer Questions

        • Drawing Conclusions and Making Inferences in Single-Answer Questions

      • Argument in Single-Answer Questions+2 topics

        • Analyzing Components of an Argument in Single-Answer Questions

        • Analyzing Point of View, Assumptions, and Bias in Single-Answer Questions

      • Meaning and Structure in Single-Answer Questions+4 topics

        • Summarizing and Describing Passage Content in Single-Answer Questions

        • Understanding How Parts of a Text Relate in Single-Answer Questions

        • Understanding the Meaning of Phrases, Sentences, and Paragraphs in Single-Answer Questions

        • Understanding the Meaning of Words in Single-Answer Questions

    • Specific Questions Featuring the Except Structure

  • Text Completion

    • One-Blank Texts

      • Context Clues in One-Blank Texts +2 topics

        • Conjunctions and Text Logic in One-Blank Texts

        • Style, Intensity, and Connotation in One-Blank Texts

      • Parts of Speech in One-Blank Texts+3 topics

        • Adjectives and Adverbs in One-Blank Texts

        • Nouns in One-Blank Texts

        • Verbs in One-Blank Texts

    • Three-Blank Texts

      • Context Clues in Three-Blank Texts +2 topics

        • Conjunctions and Text Logic in Three-Blank Texts

        • Style, Intensity, and Connotation in Three-Blank Texts

      • Parts of Speech in Three-Blank Texts+7 topics

        • Nouns and Adjectives or Adverbs in Three-Blank Texts

        • Nouns and Verbs in Three-Blank Texts

        • Nouns, Verbs, and Adjectives or Adverbs in Three-Blank Texts

        • Three Adjectives or Adverbs in Three-Blank Texts

        • Three Nouns in Three-Blank Texts

        • Three Verbs in Three-Blank Texts

        • Verbs and Adjectives or Adverbs in Three-Blank Texts

    • Two-Blank Texts

      • Context Clues in Two-Blank Texts +2 topics

        • Conjunctions and Text Logic in Two-Blank Texts

        • Style, Intensity, and Connotation in Two-Blank Texts

      • Parts of Speech in Two-Blank Texts+6 topics

        • Nouns and Adjectives or Adverbs in Two-Blank Texts

        • Nouns and Verbs in Two-Blank Texts

        • Two Adjectives or Adverbs in Two-Blank Texts

        • Two Nouns in Two-Blank Texts

        • Two Verbs in Two-Blank Texts

        • Verbs and Adjectives or Adverbs in Two-Blank Texts