Math - Algebra

Introduction to Algebra principles are covered in this course. The concepts of Positive and Negative Numbers are discussed. It explains the concepts of scatterplot, introduction to equations and inequalities, parallel and perpendicular equations, system of equations with two total, distance, rate and time. It also goes through the equation of a line, factoring and Foiling. It includes functions, function machines, graphs of linear equations, graphs with rates. The next section gives the detailed description on geometric sequences and its properties. The course ends with the discussion of Pythagorean theorem, percents, percent increase or decrease.

10 topics

335 lectures

Educators

LL

Course Curriculum

1 videos

75 videos

SAT Math - Geometry

20 videos

SAT Math - Trigonometry

30 videos

SAT Math - Quadratics

45 videos

SAT Math - Advanced Math

40 videos

SAT Math - Probability and Statistics

25 videos

73 videos

4 videos

22 videos

Math - Algebra Lectures

Math - Algebra

Introduction to Equations

In mathematics, an equation is a statement that two mathematical expressions have the same value. Solving an equation is often the primary goal of algebraic solution. There are several types of equations that are used frequently in mathematics.

Lily An

Math - Algebra

Equation of a Line - Overview

In mathematics, a line is a straight line segment with zero curvature. The most familiar types of lines are the lines in Euclidean geometry, which are described by two numerical parameters, and the lines in non-Euclidean geometry, which are described by more than two parameters.

Lily An

Math - Algebra

Equations of a Line - Example 1

In mathematics, a line is a straight line segment with zero curvature. The most familiar types of lines are the lines in Euclidean geometry, which are described by two numerical parameters, and the lines in non-Euclidean geometry, which are described by more than two parameters.

Lily An

Math - Algebra

Equations of a Line - Example 2

In mathematics, a line is a straight line segment with zero curvature. The most familiar types of lines are the lines in Euclidean geometry, which are described by two numerical parameters, and the lines in non-Euclidean geometry, which are described by more than two parameters.

Lily An

Math - Algebra

Equations of a Line - Example 3

In mathematics, a line is a straight line segment with zero curvature. The most familiar types of lines are the lines in Euclidean geometry, which are described by two numerical parameters, and the lines in non-Euclidean geometry, which are described by more than two parameters.

Lily An

Math - Algebra

Equations of a Line - Example 4

In mathematics, a line is a straight line segment with zero curvature. The most familiar types of lines are the lines in Euclidean geometry, which are described by two numerical parameters, and the lines in non-Euclidean geometry, which are described by more than two parameters.

Lily An

Math - Algebra

Equations of a Line - Word Problem

In mathematics, a line is a straight line segment with zero curvature. The most familiar types of lines are the lines in Euclidean geometry, which are described by two numerical parameters, and the lines in non-Euclidean geometry, which are described by more than two parameters.

Lily An

Math - Algebra

Introduction to Inequalities

In mathematics, an inequality is a statement that one number, in some sense, is greater than or less than another number. The "greater than" or "less than" may be "=" (identical), "<" (less than), or ">" (greater than).

Lily An

Math - Algebra

Introduction to Inequalities - Example 1

In mathematics, an inequality is a statement that one quantity is greater than or less than another quantity. The notation a ? b means that a is not equal to b, i.e. a is not greater than b and a is not less than b. If there is no restriction on the values of a and b, then this is called an absolute inequality. If a < b, a > b, a ? b, or a ? b, then this is a relative inequality.

Lily An

Math - Algebra

Introduction to Inequalities - Example 2

In mathematics, an inequality is a statement that one quantity is greater than or less than another quantity. The notation a ? b means that a is not equal to b, i.e. a is not greater than b and a is not less than b. If there is no restriction on the values of a and b, then this is called an absolute inequality. If a < b, a > b, a ? b, or a ? b, then this is a relative inequality.

Lily An

Math - Algebra

Introduction to Inequalities - Example 3

In mathematics, an inequality is a statement that one quantity is greater than or less than another quantity. The notation a ? b means that a is not equal to b, i.e. a is not greater than b and a is not less than b. If there is no restriction on the values of a and b, then this is called an absolute inequality. If a < b, a > b, a ? b, or a ? b, then this is a relative inequality.

Lily An

Math - Algebra

Introduction to Inequalities - Example 4

In mathematics, an inequality is a statement that one quantity is greater than or less than another quantity. The notation a ? b means that a is not equal to b, i.e. a is not greater than b and a is not less than b. If there is no restriction on the values of a and b, then this is called an absolute inequality. If a < b, a > b, a ? b, or a ? b, then this is a relative inequality.

Lily An

Math - Algebra

Parallel and Perpendicular Lines - Overview

In geometry, two lines are said to be perpendicular if they intersect at a right angle. The line segments forming the angle are said to be normal. Perpendicularity is one of the basic properties of intersecting lines defined in Euclid's Elements.

Lily An

Math - Algebra

Parallel and Perpendicular Lines - Example 1

In geometry, two lines are said to be perpendicular if they intersect at a right angle. The line segments forming the angle are said to be normal. Perpendicularity is one of the basic properties of intersecting lines defined in Euclid's Elements.

Lily An

Math - Algebra

Parallel and Perpendicular Lines - Example 2

In geometry, two lines are said to be perpendicular if they intersect at a right angle. The line segments forming the angle are said to be normal. Perpendicularity is one of the basic properties of intersecting lines defined in Euclid's Elements.

Lily Li

LL

Math - Algebra

Parallel and Perpendicular Lines - Example 3

In geometry, two lines are said to be perpendicular if they intersect at a right angle. The line segments forming the angle are said to be normal. Perpendicularity is one of the basic properties of intersecting lines defined in Euclid's Elements.

Lily An

Math - Algebra

Parallel and Perpendicular Lines - Example 4

In geometry, two lines are said to be perpendicular if they intersect at a right angle. The line segments forming the angle are said to be normal. Perpendicularity is one of the basic properties of intersecting lines defined in Euclid's Elements.

Lily An

Math - Algebra

Unit Conversions - Overview

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity. Any other quantity of that kind can be expressed as a multiple of the unit of measurement. For example, a length is a physical quantity. The metre is a unit of length that represents a definite predetermined length. When we say 10 metres (or 10 m) we actually mean 10 times the definite predetermined length called "metre".

Lily An

Math - Algebra

Unit Conversions - Example 1

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity. Any other quantity of that kind can be expressed as a multiple of the unit of measurement. For example, a length is a physical quantity. The metre is a unit of length that represents a definite predetermined length. When we say 10 metres (or 10 m) we actually mean 10 times the definite predetermined length called "metre".

Lily An

Math - Algebra

Unit Conversions - Example 2

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity. Any other quantity of that kind can be expressed as a multiple of the unit of measurement. For example, a length is a physical quantity. The metre is a unit of length that represents a definite predetermined length. When we say 10 metres (or 10 m) we actually mean 10 times the definite predetermined length called "metre".

Lily An

Math - Algebra

Unit Conversions - Example 3

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity. Any other quantity of that kind can be expressed as a multiple of the unit of measurement. For example, a length is a physical quantity. The metre is a unit of length that represents a definite predetermined length. When we say 10 metres (or 10 m) we actually mean 10 times the definite predetermined length called "metre".

Lily An

Math - Algebra

Unit Conversions- Example 4

A unit conversion is the conversion of a quantity expressed in one unit of measure into an equivalent quantity expressed in another unit of measure.

Lily An

Math - Algebra

Rounding - Overview

In mathematics, rounding is the process of removing digits from a number to make it easier to work with. Rounding can be performed on any of various bases, including decimal, binary, and sexagesimal (base 60).

Lily An

Math - Algebra

Rounding - Example 1

In mathematics, rounding is the process of removing digits from a number to make it easier to work with. Rounding can be performed on any of various bases, including decimal, binary, and sexagesimal (base 60).

Lily An

Math - Algebra

Rounding - Example 2

In mathematics, rounding is the process of removing digits from a number to make it easier to work with. Rounding can be performed on any of various bases, including decimal, binary, and sexagesimal (base 60).

Lily An

Math - Algebra

Rounding - Example 3

In mathematics, rounding is the process of removing digits from a number to make it easier to work with. Rounding can be performed on any of various bases, including decimal, binary, and sexagesimal (base 60).

Lily An

Math - Algebra

Rounding - Example 4

In mathematics, rounding is the process of removing digits from a number to make it easier to work with. Rounding can be performed on any of various bases, including decimal, binary, and sexagesimal (base 60).

Lily An

Math - Algebra

Systems of Equations - Overview

In mathematics, a system of equations is a collection of one or more equations involving one or more unknowns. Solving a system of equations means determining which values of the unknowns make all the equations true simultaneously. Solving a system of linear equations is the most commonly solved type of system of equations.

Lily An

Math - Algebra

Systems of Equations - Example 1

In mathematics, a system of equations is a collection of one or more equations involving one or more unknowns. Solving a system of equations means determining which values of the unknowns make all the equations true simultaneously. Solving a system of linear equations is the most commonly solved type of system of equations.

Lily An

Math - Algebra

Systems of Equations - Example 2

In mathematics, a system of equations is a collection of one or more equations involving one or more unknowns. Solving a system of equations means determining which values of the unknowns make all the equations true simultaneously. Solving a system of linear equations is the most commonly solved type of system of equations.

Lily An

Math - Algebra

Systems of Equations - Example 3

In mathematics, a system of equations is a collection of one or more equations involving one or more unknowns. Solving a system of equations means determining which values of the unknowns make all the equations true simultaneously. Solving a system of linear equations is the most commonly solved type of system of equations.

Lily An

Math - Algebra

Systems of Equations - Example 4

In mathematics, a system of equations is a collection of one or more equations involving one or more unknowns. Solving a system of equations means determining which values of the unknowns make all the equations true simultaneously. Solving a system of linear equations is the most commonly solved type of system of equations.

Lily An

Math - Algebra

Distance, Rate, and Time - Overview

In mathematics, the distance between two points on a plane is the length of the shortest segment connecting them. It is a special case of the distance between two points in Euclidean space, where the segment may be replaced by a curve connecting the points. The distance between two points is a signed quantity, a positive distance representing movement in a positive direction from the first point to the second.

Lily An

Math - Algebra

Distance, Rate, and Time - Example 1

In mathematics, the distance between two points on a plane is the length of the shortest segment connecting them. It is a special case of the distance between two points in Euclidean space, where the segment may be replaced by a curve connecting the points. The distance between two points is a signed quantity, a positive distance representing movement in a positive direction from the first point to the second.

Lily An

Math - Algebra

Distance, Rate, and Time - Example 2

In mathematics, the distance between two points on a plane is the length of the shortest segment connecting them. It is a special case of the distance between two points in Euclidean space, where the segment may be replaced by a curve connecting the points. The distance between two points is a signed quantity, a positive distance representing movement in a positive direction from the first point to the second.

Lily An

Math - Algebra

Distance, Rate, and Time - Example 3

In mathematics, the distance between two points on a plane is the length of the shortest segment connecting them. It is a special case of the distance between two points in Euclidean space, where the segment may be replaced by a curve connecting the points. The distance between two points is a signed quantity, a positive distance representing movement in a positive direction from the first point to the second.

Lily An

Math - Algebra

Functions - Overview

In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real number x to its square x, given by the rule for all real numbers x, (x) = x. The output of a function f corresponding to an input x is denoted by f(x) (read "f of x"), y, or f(x) (read "f of x", "f at x", or "f of x"). In this example, if the input is ?3, then the output is 9, and we may write f(?3) = 9, or simply f(?3) = 9. If the input variable, x, is represented by the letter "x", then the output variable, f(x), is sometimes represented by the letter "y" in functional notation, especially in computer science.

Lily An

Math - Algebra

Functions - Example 1

In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real number x to its square x, given by the rule for all real numbers x, (x) = x. The output of a function f corresponding to an input x is denoted by f(x) (read "f of x"), y, or f(x) (read "f of x", "f at x", or "f of x"). In this example, if the input is ?3, then the output is 9, and we may write f(?3) = 9, or simply f(?3) = 9. If the input variable, x, is represented by the letter "x", then the output variable, f(x), is sometimes represented by the letter "y" in functional notation, especially in computer science.

Lily An

Math - Algebra

Functions - Example 2

In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real number x to its square x, given by the rule for all real numbers x, (x) = x. The output of a function f corresponding to an input x is denoted by f(x) (read "f of x"), y, or f(x) (read "f of x", "f at x", or "f of x"). In this example, if the input is ?3, then the output is 9, and we may write f(?3) = 9, or simply f(?3) = 9. If the input variable, x, is represented by the letter "x", then the output variable, f(x), is sometimes represented by the letter "y" in functional notation, especially in computer science.

Lily An

Math - Algebra

Functions - Example 3

In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real number x to its square x, given by the rule for all real numbers x, (x) = x. The output of a function f corresponding to an input x is denoted by f(x) (read "f of x"), y, or f(x) (read "f of x", "f at x", or "f of x"). In this example, if the input is ?3, then the output is 9, and we may write f(?3) = 9, or simply f(?3) = 9. If the input variable, x, is represented by the letter "x", then the output variable, f(x), is sometimes represented by the letter "y" in functional notation, especially in computer science.

Lily An

Math - Algebra

Functions - Example 4

In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real number x to its square x, given by the rule for all real numbers x, (x) = x. The output of a function f corresponding to an input x is denoted by f(x) (read "f of x"), y, or f(x) (read "f of x", "f at x", or "f of x"). In this example, if the input is ?3, then the output is 9, and we may write f(?3) = 9, or simply f(?3) = 9. If the input variable, x, is represented by the letter "x", then the output variable, f(x), is sometimes represented by the letter "y" in functional notation, especially in computer science.

Lily An

Math - Algebra

Function Machines - Overview

In mathematics, a function machine is a special type of mathematical machine, usually a computer, that is used to compute functions. In a function machine, the operator specifies the function that is to be computed, and the machine then computes the values of the function for a given input. The machine can be used to compute functions of any number of variables, but it is most commonly used for functions of a single variable.

Lily An

Math - Algebra

Function Machines - Example 1

In mathematics, a function machine is a special type of mathematical machine, usually a computer, that is used to compute functions. In a function machine, the operator specifies the function that is to be computed, and the machine then computes the values of the function for a given input. The machine can be used to compute functions of any number of variables, but it is most commonly used for functions of a single variable.

Lily An

Math - Algebra

Function Machines - Example 2

In mathematics, a function machine is a special type of mathematical machine, usually a computer, that is used to compute functions. In a function machine, the operator specifies the function that is to be computed, and the machine then computes the values of the function for a given input. The machine can be used to compute functions of any number of variables, but it is most commonly used for functions of a single variable.

Lily An

Math - Algebra

Function Machines - Example 3

In mathematics, a function machine is a special type of mathematical machine, usually a computer, that is used to compute functions. In a function machine, the operator specifies the function that is to be computed, and the machine then computes the values of the function for a given input. The machine can be used to compute functions of any number of variables, but it is most commonly used for functions of a single variable.

Lily An

Math - Algebra

Function Machines - Example 4

In mathematics, a function machine is a special type of mathematical machine, usually a computer, that is used to compute functions. In a function machine, the operator specifies the function that is to be computed, and the machine then computes the values of the function for a given input. The machine can be used to compute functions of any number of variables, but it is most commonly used for functions of a single variable.

Lily An

Math - Algebra

Introduction to Equations - Example 1

An equation is a mathematical statement that two quantities are equal to each other. This means that the two quantities can be substituted for one another in the statement without changing the truth of the statement. In mathematics, equations are used to relate unknown quantities to known ones. An equation for a function is a statement of an equality between two expressions, one of which depends on the unknown quantity. The solutions of an equation may be expressed in many forms: as a single formula, as a graph, as a table, and so on.

Lily An

Math - Algebra

Introduction to Equations - Example 2

An equation is a mathematical statement that two quantities are equal to each other. This means that the two quantities can be substituted for one another in the statement without changing the truth of the statement. In mathematics, equations are used to relate unknown quantities to known ones. An equation for a function is a statement of an equality between two expressions, one of which depends on the unknown quantity. The solutions of an equation may be expressed in many forms: as a single formula, as a graph, as a table, and so on.

Lily An

Math - Algebra

Introduction to Equations - Example 3

An equation is a mathematical statement that two quantities are equal to each other. This means that the two quantities can be substituted for one another in the statement without changing the truth of the statement. In mathematics, equations are used to relate unknown quantities to known ones. An equation for a function is a statement of an equality between two expressions, one of which depends on the unknown quantity. The solutions of an equation may be expressed in many forms: as a single formula, as a graph, as a table, and so on.

Lily An

Math - Algebra

Introduction to Equations - Example 4

An equation is a mathematical statement that two quantities are equal to each other. This means that the two quantities can be substituted for one another in the statement without changing the truth of the statement. In mathematics, equations are used to relate unknown quantities to known ones. An equation for a function is a statement of an equality between two expressions, one of which depends on the unknown quantity. The solutions of an equation may be expressed in many forms: as a single formula, as a graph, as a table, and so on.

Lily An

Math - Algebra

Systems of Equations w/ Two Totals - Overview

In mathematics, a system of linear equations is a set of linear equations with the same number of unknowns. The unknowns may be represented by either variables or indeterminates. Systems of linear equations are fundamental in many areas of mathematics. A system of linear equations with two variables is called a linear system.

Lily An

Math - Algebra

Systems of Equations w/ Two Totals - Example 1

In mathematics, a system of linear equations is a set of linear equations with the same number of unknowns. The unknowns may be represented by either variables or indeterminates. Systems of linear equations are fundamental in many areas of mathematics. A system of linear equations with two variables is called a linear system.

Lily An

Math - Algebra

Systems of Equations w/ Two Totals - Example 2

In mathematics, a system of linear equations is a set of linear equations with the same number of unknowns. The unknowns may be represented by either variables or indeterminates. Systems of linear equations are fundamental in many areas of mathematics. A system of linear equations with two variables is called a linear system.

Lily An

Math - Algebra

Systems of Equations w/ Two Totals - Example 3

In mathematics, a system of linear equations is a set of linear equations with the same number of unknowns. The unknowns may be represented by either variables or indeterminates. Systems of linear equations are fundamental in many areas of mathematics. A system of linear equations with two variables is called a linear system.

Lily An

Math - Algebra

Systems of Equations w/ Two Totals - Example 4

In mathematics, a system of linear equations is a set of linear equations with the same number of unknowns. The unknowns may be represented by either variables or indeterminates. Systems of linear equations are fundamental in many areas of mathematics. A system of linear equations with two variables is called a linear system.

Lily An

Math - Algebra

Harder Systems of Equations and Inequalities - Overview

A system of equations is a collection of equations that describe the same system of quantities. A system of equations is said to be consistent if it is possible to solve the equations simultaneously. A system of equations is said to be inconsistent if it is not possible to solve the equations simultaneously.

Lily An

Math - Algebra

Harder Systems of Equations and Inequalities - Example 1

A system of equations is a collection of equations that describe the same system of quantities. A system of equations is said to be consistent if it is possible to solve the equations simultaneously. A system of equations is said to be inconsistent if it is not possible to solve the equations simultaneously.

Lily An

Math - Algebra

Harder Systems of Equations and Inequalities - Example 2

A system of equations is a collection of equations that describe the same system of quantities. A system of equations is said to be consistent if it is possible to solve the equations simultaneously. A system of equations is said to be inconsistent if it is not possible to solve the equations simultaneously.

Lily An

Math - Algebra

Harder Systems of Equations and Inequalities - Example 3

A system of equations is a collection of equations that describe the same system of quantities. A system of equations is said to be consistent if it is possible to solve the equations simultaneously. A system of equations is said to be inconsistent if it is not possible to solve the equations simultaneously.

Lily An

Math - Algebra

Harder Systems of Equations and Inequalities - Example 4

A system of equations is a collection of equations that describe the same system of quantities. A system of equations is said to be consistent if it is possible to solve the equations simultaneously. A system of equations is said to be inconsistent if it is not possible to solve the equations simultaneously.

Lily An

Math - Algebra

Graphs of Linear Equations - Overview

A graph of a linear equation is a graph of the straight line that is the solution of the equation.

Lily An

Math - Algebra

Graphs of Linear Equations - Example 1

A graph of a linear equation is a graph of the straight line that is the solution of the equation.

Lily An

Math - Algebra

Graphs of Linear Equations - Example 2

A graph of a linear equation is a graph of the straight line that is the solution of the equation.

Lily An

Math - Algebra

Graphs of Linear Equations - Example 3

A graph of a linear equation is a graph of the straight line that is the solution of the equation.

Lily An

Math - Algebra

Graphs of Linear Equations - Example 4

A graph of a linear equation is a graph of the straight line that is the solution of the equation.

Lily An

Math - Algebra

Scatterplots - Overview

In statistics and data analysis, a scatter plot is a type of plot in which each observation is represented by a point, and the pairs of observations are joined by straight line segments. The points plotted can be of two types: paired values from the same data set, or corresponding values from two different data sets.

Lily An

Math - Algebra

Scatterplots - Example 1

In statistics and data analysis, a scatter plot is a type of plot in which each observation is represented by a point, and the pairs of observations are joined by straight line segments. The points plotted can be of two types: paired values from the same data set, or corresponding values from two different data sets.

Lily An

Math - Algebra

Scatterplots - Example 2

In statistics and data analysis, a scatter plot is a type of plot in which each observation is represented by a point, and the pairs of observations are joined by straight line segments. The points plotted can be of two types: paired values from the same data set, or corresponding values from two different data sets.

Lily An

Math - Algebra

Scatterplots - Example 3

In statistics and data analysis, a scatter plot is a type of plot in which each observation is represented by a point, and the pairs of observations are joined by straight line segments. The points plotted can be of two types: paired values from the same data set, or corresponding values from two different data sets.

Lily An

Math - Algebra

Scatterplots - Example 4

In statistics and data analysis, a scatter plot is a type of plot in which each observation is represented by a point, and the pairs of observations are joined by straight line segments. The points plotted can be of two types: paired values from the same data set, or corresponding values from two different data sets.

Lily An

Math - Algebra

Percents - Overview

Per cent or percent (per cent) is a ratio of two numbers in which the second number is divided by the first number and multiplied by 100.

Lily An

Math - Algebra

Percents - Example 1

Per cent or percent (per cent) is a ratio of two numbers in which the second number is divided by the first number and multiplied by 100.

Lily An

Math - Algebra

Percents - Example 2

Per cent or percent (per cent) is a ratio of two numbers in which the second number is divided by the first number and multiplied by 100.

Lily An

Math - Algebra

Percents - Example 3

Per cent or percent (per cent) is a ratio of two numbers in which the second number is divided by the first number and multiplied by 100.

Lily An

Math - Algebra

Percents - Example 4

Per cent or percent (per cent) is a ratio of two numbers in which the second number is divided by the first number and multiplied by 100.

Lily An