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Pre-algebra
Arithmetics
Ordering natural numbers
Addition
Subtraction
Multiplication
Division
Order of operations
Signed numbers
Opposite and absolute value
Addition
Subtraction
Multiplication
Division
Order of operations
LCM and GCF
Divisibility
Prime numbers
Factoring
Multiples
Tests of divisibility
Prime factorization
GCF
LCM
Decimals
Addition
Subtraction
Multiplication
Division
Fractions
Equivalent fractions
Reducing fractions
Reducing to least common denominator
Comparing fractions
Adding and subtracting fractions
Multiply fractions
Divide fractions
Multiple operations
Exponents
Multplication properties
Division properties
Power of a power
Percentages
Calculate the % of a number
Determine the %
Percentage increases
Percentage decreases
Calculate the inital capital
Proportional reasoning
Ratio & proportion
Direct proportion
Inverse proportion
Mixture problems
Uniform motion problems
Equal shares
Radical expressions
Adding and subtracting
Rationalizing
Radical equation
Graphs
Plotting points and naming quadrants
Definition of slope
Positive or negative slope
Algebra
Monomials
Addition
Subtraction
Multiplication
Division
Polynomials
Addition
Subtraction
Multiplication (FOIL)
Multiplication
Special products
Long division
Synthetic division
Remainder theorem
Roots and factors
Equations
Solving equations
Equations with parentheses
Equations with parentheses
Radical equations
Word problems
Mixture problems
Time and distance problems
Equal shares
Quadratic equations
Quadratic formula
Solve factoring
Solve completing the square
Incomplete quadratic equation
The discriminant
Applications
Quadratic function
Equations in quadratic form
Radical expressions
Adding and subtracting
Rationalizing
Radical equations
Exponential equations
Logarithmic equations
System of equations
Introduction
Substitution
Elimination
Graphing
Using the augmented matrix
Using the inverse matrix
Word problems
System of 3 variables
Graphs
Plotting points and naming quadrants
Definition of slope
Positive or negative slope
Domain and range
Definitions
Polynomial function
Rational function
Radical function
Trigonometric function I
Trigonometric function II
Trigonometric function III
Matrices
Concept of matrix
Definitions
Addition and subtraction
Multiplication
Multiplication properties
Elemento sin tÃtulo
Solve linear systems (augmented matrix)
Solve linear system (inverse matrix method)
Matrix equations
Inverse of a matrix
Determinants
Inner product
Geometry
Areas
Triangle
Square
Rectangle
Kyte and Rhombus
Trapezoid
Parallelogram
Regular polygon
Circe
Sector
Annulus
Segment
2-D Shapes
Triangle
Square
Rectangle
Rhombus
Trapezoid
Parallelogram
Regular polygon
Circle
Pythagorean Theorem
Pythagorean theorem
Proofs
Solve right angles (find hypotenuse)
Solve right angles (find missing legs)
Word problems
Building Blocks
Point, Line and Plane
Parallel, coincident and intersepting lines
Distances in the plane
Between two points
From a point to a line
Between two lines
Angles in the space
Precalculus
Sequences and series
Arithmethic sequences
Arithmetic series
Geometric sequences
Geometric series
Graphs
Graphs
Definition of slope
Positive or negative slope
Determine the slope of a line
Equation of a line (slope-intercept form)
Equation of a line (point slope form)
Equation of a line from graph
Domain and range
Definitions
Polynomial function
Rational function
Radical function
Trigonometric function I
Trigonometric function II
Trigonometric function III
Quadratic function
Limits (approaches a constant)
Limits (approaches infinity)
Asymptotes
Continuity and discontinuities
Trigonometry
Trigonometric ratios
Sine
Cosine
Tangent
The reciprocal trigonometric ratios
Cosecant
Secant
Cotangent
Elemento sin tÃtulo
Trigonometric ratios of related angles
Complementary angles
Supplementary angles
Angles that differ by 180º
Opposite angles
Trigonometric identities
Solving right angles
Two sides knowed
One side and one angle
Law of sines
Law of cosines
Domain of trigonometric functions
Statistics
Mean
Median
Mode
Quartiles
Deciles
Percentiles
Factorial
Variations without repetition
Variations with repetition
Permutations without repetition
Permutation with repetition
Circular permutation
Binomial coefficient
Combinations without repetition
Combinations with repetition
Grade 7
Arithmetics
Ordering natural numbers
Addition
Subtraction
Multiplication
Division
Order of operations
Signed numbers
Opposite and absolute value
Addition
Subtraction
Multiplication
Division
Order of operations
LCM and GCF
Divisibility
Prime numbers
Factoring
Multiples
Tests of divisibility
Prime factorization
GCF
LCM
Decimals
Addition
Subtraction
Multiplication
Division
Fractions
Equivalent fractions
Reducing fractions
Reducing to least common denominator
Comparing fractions
Adding and subtracting fractions
Multiply fractions
Divide fractions
Multiple operations
Exponents
Multplication properties
Division properties
Power of a power
Percentages
Calculate the % of a number
Determine the %
Percentage increases
Percentage decreases
Calculate the inital capital
Proportional reasoning
Ratio & proportion
Direct proportion
Inverse proportion
Mixture problems
Uniform motion problems
Equal shares
Radical expressions
Adding and subtracting
Rationalizing
Radical equation
Graphs
Plotting points and naming quadrants
Definition of slope
Positive or negative slope
Areas
Triangle
Square
Rectangle
Rhombus
Trapezoid
Parallelogram
Regular polygon
Circle
Sector
Annulus
Segment
2-D Shapes
Triangle
Square
Rectangle
Rhombus
Trapezoid
Parallelogram
Regular polygon
Circle
Pythagorean Theorem
Pythagorean theorem
Proofs
Solve right angles (find hypotenuse)
Solve right angles (find missing legs)
Word problems
Grade 8
Arithmetics
Ordering natural numbers
Addition
Subtraction
Multiplication
Division
Order of operations
Signed numbers
Opposite and absolute value
Addition
Subtraction
Multiplication
Division
Order of operations
LCM and GCF
Divisibility
Prime numbers
Factoring
Multiples
Tests of divisibility
Prime factorization
GCF
LCM
Decimals
Addition
Subtraction
Multiplication
Division
Fractions
Equivalent fractions
Reducing fractions
Reducing to least common denominator
Comparing fractions
Adding and subtracting fractions
Multiply fractions
Divide fractions
Multiple operations
Exponents
Multplication properties
Division properties
Power of a power
Percentages
Calculate the % of a number
Determine the %
Percentage increases
Percentage decreases
Calculate the inital capital
Proportional reasoning
Ratio & proportion
Direct proportion
Inverse proportion
Mixture problems
Uniform motion problems
Equal shares
Radical expressions
Adding and subtracting
Rationalizing
Radical equation
Monomials
Addition
Subtraction
Multiplication
Division
Polynomials
Addition
Subtraction
Multiplication (FOIL)
Multiplication
Special products
Long division
Synthetic division
Remainder theorem
Roots and factors
Equations
Solving equations
Equations with parentheses
Equations with parentheses
Word problems
Mixture problems
Time and distance problems
Equal shares
Graphs
Plotting points and naming quadrants
Definition of slope
Positive or negative slope
Domain and range
Definitions
Polynomial function
Rational function
Radical function
Trigonometric function I
Trigonometric function II
Trigonometric function III
Areas
Triangle
Square
Rectangle
Rhombus
Trapezoid
Parallelogram
Regular polygon
Circle
Sector
Annulus
Segment
2-D Shapes
Triangle
Square
Rectangle
Rhombus
Trapezoid
Parallelogram
Regular polygon
Circle
Pythagorean Theorem
Pythagorean theorem
Proofs
Solve right angles (find hypotenuse)
Solve right angles (find missing legs)
Word problems
Grade 9
Pre-algebra
Arithmetics
Ordering natural numbers
Addition
Subtraction
Multiplication
Division
Order of operations
Signed numbers
Opposite and absolute value
Addition
Subtraction
Multiplication
Division
Order of operations
LCM and GCF
Divisibility
Prime numbers
Factoring
Multiples
Tests of divisibility
Prime factorization
GCF
LCM
Decimals
Addition
Subtraction
Multiplication
Division
Fractions
Equivalent fractions
Reducing fractions
Reducing to least common denominator
Comparing fractions
Adding and subtracting fractions
Multiply fractions
Divide fractions
Multiple operations
Exponents
Multplication properties
Division properties
Power of a power
Percentages
Calculate the % of a number
Determine the %
Percentage increases
Percentage decreases
Calculate the inital capital
Proportional reasoning
Ratio & proportion
Direct proportion
Inverse proportion
Mixture problems
Uniform motion problems
Equal shares
Radical expressions
Adding and subtracting
Rationalizing
Radical equation
Graphs
Plotting points and naming quadrants
Definition of slope
Positive or negative slope
Algebra
Monomials
Addition
Subtraction
Multiplication
Division
Polynomials
Addition
Subtraction
Multiplication (FOIL)
Multiplication
Special products
Long division
Synthetic division
Remainder theorem
Roots and factors
Equations
Solving equations
Equations with parentheses
Equations with parentheses
Radical equations
Word problems
Mixture problems
Time and distance problems
Equal shares
Graphs
Plotting points and naming quadrants
Definition of slope
Positive or negative slope
Domain and range
Definitions
Polynomial function
Rational function
Radical function
Trigonometric function I
Trigonometric function II
Trigonometric function III
Geometry
Areas
Triangle
Square
Rectangle
Rhombus
Trapezoid
Parallelogram
Regular polygon
Circle
Sector
Annulus
Segment
2-D Shapes
Triangle
Square
Rectangle
Rhombus
Trapezoid
Parallelogram
Regular polygon
Circle
Pythagorean Theorem
Pythagorean theorem
Proofs
Solve right angles (find hypotenuse)
Solve right angles (find missing legs)
Word problems
Precalculus
Graphs
Definition of slope
Positive or negative slope
Determine the slope of a line
Equation of a line (slope-intercept form)
Equation of a line (point slope form)
Equation of a line from graph
Domain and range
Definitions
Polynomial function
Rational function
Radical function
Trigonometric function I
Trigonometric function II
Trigonometric function III
Quadratic function
Limits (approaches a constant)
Limits (approaches infinity)
Asymptotes
Continuity and discontinuities
Grade 10
Pre-algebra
Arithmetics
Ordering natural numbers
Addition
Subtraction
Multiplication
Division
Order of operations
Signed numbers
Opposite and absolute value
Addition
Subtraction
Multiplication
Division
Order of operations
LCM and GCF
Divisibility
Prime numbers
Factoring
Multiples
Tests of divisibility
Prime factorization
GCF
LCM
Decimals
Addition
Subtraction
Multiplication
Division
Fractions
Equivalent fractions
Reducing fractions
Reducing to least common denominator
Comparing fractions
Adding and subtracting fractions
Multiply fractions
Divide fractions
Multiple operations
Exponents
Multplication properties
Division properties
Power of a power
Percentages
Calculate the % of a number
Determine the %
Percentage increases
Percentage decreases
Calculate the inital capital
Proportional reasoning
Ratio & proportion
Direct proportion
Inverse proportion
Mixture problems
Uniform motion problems
Equal shares
Radical expressions
Adding and subtracting
Rationalizing
Radical equation
Graphs
Plotting points and naming quadrants
Definition of slope
Positive or negative slope
Domain and range
Definitions
Polynomial function
Rational function
Radical function
Trigonometric function I
Trigonometric function II
Trigonometric function III
Algebra
Monomials
Addition
Subtraction
Multiplication
Division
Polynomials
Addition
Subtraction
Multiplication (FOIL)
Multiplication
Special products
Long division
Synthetic division
Remainder theorem
Roots and factors
Equations
Solving equations
Equations with parentheses
Equations with parentheses
Radical equations
Word problems
Mixture problems
Time and distance problems
Equal shares
Quadratic equations
Quadratic formula
Solve factoring
Solve completing the square
Incomplete quadratic equation
The discriminant
Applications
Quadratic function
Equations in quadratic form
Radical expressions
Adding and subtracting
Rationalizing
Radical equations
Exponential equations
Logarithmic equations
System of equations
Introduction
Substitution
Elimination
Graphing
Using the augmented matrix
Using the inverse matrix
Word problems
System of 3 variables
Graphs
Plotting points and naming quadrants
Definition of slope
Positive or negative slope
Domain and range
Definitions
Polynomial function
Rational function
Radical function
Trigonometric function I
Trigonometric function II
Trigonometric function III
Matrices
Concept of matrix
Definitions
Addition and subtraction
Multiplication
Multiplication properties
Elemento sin tÃtulo
Solve linear systems (augmented matrix)
Solve linear system (inverse matrix method)
Matrix equations
Inverse of a matrix
Determinants
Inner product
Geometry
Areas
Triangle
Square
Rectangle
Rhombus
Trapezoid
Parallelogram
Regular polygon
Circle
Sector
Annulus
Segment
2-D Shapes
Triangle
Square
Rectangle
Rhombus
Trapezoid
Parallelogram
Regular polygon
Circle
Pythagorean Theorem
Pythagorean theorem
Proofs
Solve right angles (find hypotenuse)
Solve right angles (find missing legs)
Word problems
Precalculus
Graphs
Definition of slope
Positive or negative slope
Determine the slope of a line
Equation of a line (slope-intercept form)
Equation of a line (point slope form)
Equation of a line from graph
Domain and range
Definitions
Polynomial function
Rational function
Radical function
Trigonometric function I
Trigonometric function II
Trigonometric function III
Quadratic function
Limits (approaches a constant)
Limits (approaches infinity)
Asymptotes
Continuity and discontinuities
Grade 11
Pre-algebra
Arithmetics
Ordering natural numbers
Addition
Subtraction
Multiplication
Division
Order of operations
Signed numbers
Opposite and absolute value
Addition
Subtraction
Multiplication
Division
Order of operations
LCM and GCF
Divisibility
Prime numbers
Factoring
Multiples
Tests of divisibility
Prime factorization
GCF
LCM
Decimals
Addition
Subtraction
Multiplication
Division
Fractions
Equivalent fractions
Reducing fractions
Reducing to least common denominator
Comparing fractions
Adding and subtracting fractions
Multiply fractions
Divide fractions
Multiple operations
Exponents
Multplication properties
Division properties
Power of a power
Percentages
Calculate the % of a number
Determine the %
Percentage increases
Percentage decreases
Calculate the inital capital
Proportional reasoning
Ratio & proportion
Direct proportion
Inverse proportion
Mixture problems
Uniform motion problems
Equal shares
Radical expressions
Adding and subtracting
Rationalizing
Radical equation
Graphs
Plotting points and naming quadrants
Definition of slope
Positive or negative slope
Domain and range
Definitions
Polynomial function
Rational function
Radical function
Trigonometric function I
Trigonometric function II
Trigonometric function III
Algebra
Monomials
Addition
Subtraction
Multiplication
Division
Polynomials
Addition
Subtraction
Multiplication (FOIL)
Multiplication
Special products
Long division
Synthetic division
Remainder theorem
Roots and factors
Equations
Solving equations
Equations with parentheses
Equations with parentheses
Radical equations
Word problems
Mixture problems
Time and distance problems
Equal shares
Quadratic equations
Quadratic formula
Solve factoring
Solve completing the square
Incomplete quadratic equation
The discriminant
Applications
Quadratic function
Equations in quadratic form
Radical expressions
Adding and subtracting
Rationalizing
Radical equations
Exponential equations
Logarithmic equations
System of equations
Introduction
Substitution
Elimination
Graphing
Using the augmented matrix
Using the inverse matrix
Word problems
System of 3 variables
Graphs
Plotting points and naming quadrants
Definition of slope
Positive or negative slope
Domain and range
Definitions
Polynomial function
Rational function
Radical function
Trigonometric function I
Trigonometric function II
Trigonometric function III
Matrices
Concept of matrix
Definitions
Addition and subtraction
Multiplication
Multiplication properties
Elemento sin tÃtulo
Solve linear systems (augmented matrix)
Solve linear system (inverse matrix method)
Matrix equations
Inverse of a matrix
Determinants
Inner product
Geometry
Areas
Triangle
Square
Rectangle
Rhombus
Trapezoid
Parallelogram
Regular polygon
Circle
Sector
Annulus
Segment
2-D Shapes
Triangle
Square
Rectangle
Rhombus
Trapezoid
Parallelogram
Regular polygon
Circle
Pythagorean Theorem
Pythagorean theorem
Proofs
Solve right angles (find hypotenuse)
Solve right angles (find missing legs)
Word problems
Building Blocks
Point, Line and Plane
Parallel, coincident and intersepting lines
Distances in the plane
Between two points
From a point to a line
Between two lines
Angles in the space
Precalculus
Sequences and series
Arithmethic sequences
Arithmetic series
Geometric sequences
Geometric series
Graphs
Graphs
Definition of slope
Positive or negative slope
Determine the slope of a line
Equation of a line (slope-intercept form)
Equation of a line (point slope form)
Equation of a line from graph
Domain and range
Definitions
Polynomial function
Rational function
Radical function
Trigonometric function I
Trigonometric function II
Trigonometric function III
Quadratic function
Limits (approaches a constant)
Limits (approaches infinity)
Asymptotes
Continuity and discontinuities
Grade 12
Pre-algebra
Arithmetics
Ordering natural numbers
Addition
Subtraction
Multiplication
Division
Order of operations
Signed numbers
Opposite and absolute value
Addition
Subtraction
Multiplication
Division
Order of operations
LCM and GCF
Divisibility
Prime numbers
Factoring
Multiples
Tests of divisibility
Prime factorization
GCF
LCM
Decimals
Addition
Subtraction
Multiplication
Division
Fractions
Equivalent fractions
Reducing fractions
Reducing to least common denominator
Comparing fractions
Adding and subtracting fractions
Multiply fractions
Divide fractions
Multiple operations
Exponents
Multplication properties
Division properties
Power of a power
Percentages
Calculate the % of a number
Determine the %
Percentage increases
Percentage decreases
Calculate the inital capital
Proportional reasoning
Ratio & proportion
Direct proportion
Inverse proportion
Mixture problems
Uniform motion problems
Equal shares
Radical expressions
Adding and subtracting
Rationalizing
Radical equation
Graphs
Plotting points and naming quadrants
Definition of slope
Positive or negative slope
Domain and range
Definitions
Polynomial function
Rational function
Radical function
Trigonometric function I
Trigonometric function II
Trigonometric function III
Algebra
Monomials
Addition
Subtraction
Multiplication
Division
Polynomials
Addition
Subtraction
Multiplication (FOIL)
Multiplication
Special products
Long division
Synthetic division
Remainder theorem
Roots and factors
Equations
Solving equations
Equations with parentheses
Equations with parentheses
Radical equations
Word problems
Mixture problems
Time and distance problems
Equal shares
Quadratic equations
Quadratic formula
Solve factoring
Solve completing the square
Incomplete quadratic equation
The discriminant
Applications
Quadratic function
Equations in quadratic form
Radical expressions
Adding and subtracting
Rationalizing
Radical equations
Exponential equations
Logarithmic equations
System of equations
Introduction
Substitution
Elimination
Graphing
Using the augmented matrix
Using the inverse matrix
Word problems
System of 3 variables
Graphs
Plotting points and naming quadrants
Definition of slope
Positive or negative slope
Domain and range
Definitions
Polynomial function
Rational function
Radical function
Trigonometric function I
Trigonometric function II
Trigonometric function III
Matrices
Concept of matrix
Definitions
Addition and subtraction
Multiplication
Multiplication properties
Elemento sin tÃtulo
Solve linear systems (augmented matrix)
Solve linear system (inverse matrix method)
Matrix equations
Inverse of a matrix
Determinants
Inner product
Geometry
Areas
Triangle
Square
Rectangle
Rhombus
Trapezoid
Parallelogram
Regular polygon
Circle
Sector
Annulus
Segment
2-D Shapes
Triangle
Square
Rectangle
Rhombus
Trapezoid
Parallelogram
Regular polygon
Circle
Pythagorean Theorem
Pythagorean theorem
Proofs
Solve right angles (find hypotenuse)
Solve right angles (find missing legs)
Word problems
Building Blocks
Point, Line and Plane
Parallel, coincident and intersepting lines
Distances in the plane
Between two points
From a point to a line
Between two lines
Angles in the space
Precalculus
Sequences and series
Arithmethic sequences
Arithmetic series
Geometric sequences
Geometric series
Graphs
Graphs
Definition of slope
Positive or negative slope
Determine the slope of a line
Equation of a line (slope-intercept form)
Equation of a line (point slope form)
Equation of a line from graph
Domain and range
Definitions
Polynomial function
Rational function
Radical function
Trigonometric function I
Trigonometric function II
Trigonometric function III
Quadratic function
Limits (approaches a constant)
Limits (approaches infinity)
Asymptotes
Continuity and discontinuities
Combinatorics
Factorial
Variations without repetition
Variations with repetition
Permutations without repetition
Permutation with repetition
Circular permutation
Binomial coefficient
Combinations without repetition
Combinations with repetition
Radical expressions
Adding ans subtracting radical expressions
Rationalization
Radical equation
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Adding and subtracting radical expressions
To add algebraically two or more radicals, reduce each radical to simplest form and combine terms with similar radicands. Thus:
Simplify
Simplify:
