Linear Functions

This course introduces the concepts of linear functions, their graphs, and their properties. It covers the concept of slope and intercepts and the methods of determining them. It includes how these properties can be used to graph a linear function. It provides a detailed discussion about the formula on linear functions, step equations. It discusses the methods to solve a linear equation that contains absolute value, fractional expressions, variables on both sides of the equation and multi-step equations.

6 topics

235 lectures

Educators

Course Curriculum

Introduction to Algebra

60 videos

Linear Functions

35 videos

Solve Linear Inequalities

35 videos

20 videos

Graph Linear Functions

40 videos

Write Linear Equations

45 videos

Linear Functions Lectures

Linear Functions

Rewriting Equations and Formulas - Example 1

In mathematics, rewriting is a process of converting an expression into another expression with the same value, but with a simpler form. Rewriting is usually done by applying rules that change one expression into another, usually simpler, expression. Rewriting is used in many different fields of mathematics, but is particularly important in elementary algebra, where a number of rules for rewriting expressions are taught in school. Rewriting is also an important process in computer programming, where it is often called "simplification", "unrolling", or "unwinding".

Julie Silva

Linear Functions

Rewriting Equations and Formulas - Example 2

In mathematics, rewriting is a process of converting an expression into another expression with the same value, but with a simpler form. Rewriting is usually done by applying rules that change one expression into another, usually simpler, expression. Rewriting is used in many different fields of mathematics, but is particularly important in elementary algebra, where a number of rules for rewriting expressions are taught in school. Rewriting is also an important process in computer programming, where it is often called "simplification", "unrolling", or "unwinding".

Julie Silva

Linear Functions

Rewriting Equations and Formulas - Example 3

In mathematics, rewriting is a process of converting an expression into another expression with the same value, but with a simpler form. Rewriting is usually done by applying rules that change one expression into another, usually simpler, expression. Rewriting is used in many different fields of mathematics, but is particularly important in elementary algebra, where a number of rules for rewriting expressions are taught in school. Rewriting is also an important process in computer programming, where it is often called "simplification", "unrolling", or "unwinding".

Julie Silva

Linear Functions

Rewriting Equations and Formulas - Example 4

In mathematics, rewriting is a process of converting an expression into another expression with the same value, but with a simpler form. Rewriting is usually done by applying rules that change one expression into another, usually simpler, expression. Rewriting is used in many different fields of mathematics, but is particularly important in elementary algebra, where a number of rules for rewriting expressions are taught in school. Rewriting is also an important process in computer programming, where it is often called "simplification", "unrolling", or "unwinding".

Julie Silva

Linear Functions

Rewriting Equations and Formulas - Overview

In mathematics, rewriting is a process of converting an expression into another expression with the same value, but with a simpler form. Rewriting is usually done by applying rules that change one expression into another, usually simpler, expression. Rewriting is used in many different fields of mathematics, but is particularly important in elementary algebra, where a number of rules for rewriting expressions are taught in school. Rewriting is also an important process in computer programming, where it is often called "simplification", "unrolling", or "unwinding".

Julie Silva

Linear Functions

Solve 1-Step Equations - Example 1

In mathematics, an equation is a statement that two mathematical expressions have the same value. Solving an equation consists of finding the values of the expressions that make the equation true.

Julie Silva

Linear Functions

Solve 1-Step Equations - Example 2

In mathematics, an equation is a statement that two mathematical expressions have the same value. Solving an equation consists of finding the values of the expressions that make the equation true.

Julie Silva

Linear Functions

Solve 1-Step Equations - Example 3

In mathematics, an equation is a statement that two mathematical expressions have the same value. Solving an equation consists of finding the values of the expressions that make the equation true.

Julie Silva

Linear Functions

Solve 1-Step Equations - Example 4

In mathematics, an equation is a statement that two mathematical expressions have the same value. Solving an equation consists of finding the values of the expressions that make the equation true.

Julie Silva

Linear Functions

Solve 1-Step Equations - Overview

In mathematics, an equation is a statement that two mathematical expressions have the same value. Solving an equation consists of finding the values of the expressions that make the equation true.

Julie Silva

Linear Functions

Solve 2-Step Equations - Example 1

In mathematics, a linear function is a function and the graph of a linear function is a straight line. The domain of a linear function is all real numbers, and the range is all real numbers.

Julie Silva

Linear Functions

Solve 2-Step Equations - Example 2

In mathematics, a linear function is a function and the graph of a linear function is a straight line. The domain of a linear function is all real numbers, and the range is all real numbers.

Julie Silva

Linear Functions

Solve 2-Step Equations - Example 3

In mathematics, a linear function is a function and the graph of a linear function is a straight line. The domain of a linear function is all real numbers, and the range is all real numbers.

Julie Silva

Linear Functions

Solve 2-Step Equations - Example 4

In mathematics, a linear function is a function and the graph of a linear function is a straight line. The domain of a linear function is all real numbers, and the range is all real numbers.

Julie Silva

Linear Functions

Solve 2-Step Equations - Overview

In mathematics, a linear function is a function and the graph of a linear function is a straight line. The domain of a linear function is all real numbers, and the range is all real numbers.

Julie Silva

Linear Functions

Solve Absolute Value Equations - Example 1

In mathematics, an absolute value is a value that is considered to be independent of the location or direction of a given vector or number in space. The absolute value of a real number is its numerical value. For example, the absolute value of the number 4 is 4, regardless of the direction of the number or the location of the origin.

Julie Silva

Linear Functions

Solve Absolute Value Equations - Example 2

In mathematics, an absolute value is a value that is considered to be independent of the location or direction of a given vector or number in space. The absolute value of a real number is its numerical value. For example, the absolute value of the number 4 is 4, regardless of the direction of the number or the location of the origin.

Julie Silva

Linear Functions

Solve Absolute Value Equations - Example 3

In mathematics, an absolute value is a value that is considered to be independent of the location or direction of a given vector or number in space. The absolute value of a real number is its numerical value. For example, the absolute value of the number 4 is 4, regardless of the direction of the number or the location of the origin.

Julie Silva

Linear Functions

Solve Absolute Value Equations - Example 4

In mathematics, an absolute value is a value that is considered to be independent of the location or direction of a given vector or number in space. The absolute value of a real number is its numerical value. For example, the absolute value of the number 4 is 4, regardless of the direction of the number or the location of the origin.

Julie Silva

Linear Functions

Solve Absolute Value Equations - Overview

In mathematics, an absolute value is a value that is considered to be independent of the location or direction of a given vector or number in space. The absolute value of a real number is its numerical value. For example, the absolute value of the number 4 is 4, regardless of the direction of the number or the location of the origin.

Julie Silva

Linear Functions

Solve Equations that Contain Fractions - Example 1

In mathematics, fraction is a number that represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters, or four-fifths. Fractions are also used to represent division.

Julie Silva

Linear Functions

Solve Equations that Contain Fractions - Example 2

In mathematics, fraction is a number that represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters, or four-fifths. Fractions are also used to represent division.

Julie Silva

Linear Functions

Solve Equations that Contain Fractions - Example 3

In mathematics, fraction is a number that represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters, or four-fifths. Fractions are also used to represent division.

Julie Silva

Linear Functions

Solve Equations that Contain Fractions - Example 4

In mathematics, fraction is a number that represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters, or four-fifths. Fractions are also used to represent division.

Julie Silva

Linear Functions

Solve Equations that Contain Fractions - Overview

In mathematics, fraction is a number that represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters, or four-fifths. Fractions are also used to represent division.

Julie Silva

Linear Functions

Solve Equations with Variables on Both Sides - Example 1

In mathematics, a linear function is a function of the form y=ax+b. Where a is a constant, called the "coefficient" of the function. The graph of a linear function is a straight line.

Julie Silva

Linear Functions

Solve Equations with Variables on Both Sides - Example 2

In mathematics, a linear function is a function of the form y=ax+b. Where a is a constant, called the "coefficient" of the function. The graph of a linear function is a straight line.

Julie Silva

Linear Functions

Solve Equations with Variables on Both Sides - Example 3

In mathematics, a linear function is a function of the form y=ax+b. Where a is a constant, called the "coefficient" of the function. The graph of a linear function is a straight line.

Julie Silva

Linear Functions

Solve Equations with Variables on Both Sides - Example 4

In mathematics, a linear function is a function of the form y=ax+b. Where a is a constant, called the "coefficient" of the function. The graph of a linear function is a straight line.

Julie Silva

Linear Functions

Solve Equations with Variables on Both Sides - Overview

In mathematics, a linear function is a function of the form y=ax+b. Where a is a constant, called the "coefficient" of the function. The graph of a linear function is a straight line.

Julie Silva

Linear Functions

Solve Multi-Step Equations - Example 1

In mathematics, a linear function is a function whose graph is a line. The domain of a linear function is a linear subspace of some vector space, and the range is the set of all points obtained by applying the function to a constant multiple of any of the domain's vectors. The prototypical example of a linear function is the function f(x) = x, which takes the real numbers to the real numbers.

Julie Silva

Linear Functions

Solve Multi-Step Equations - Example 2

In mathematics, a linear function is a function whose graph is a line. The domain of a linear function is a linear subspace of some vector space, and the range is the set of all points obtained by applying the function to a constant multiple of any of the domain's vectors. The prototypical example of a linear function is the function f(x) = x, which takes the real numbers to the real numbers.

Julie Silva

Linear Functions

Solve Multi-Step Equations - Example 3

In mathematics, a linear function is a function whose graph is a line. The domain of a linear function is a linear subspace of some vector space, and the range is the set of all points obtained by applying the function to a constant multiple of any of the domain's vectors. The prototypical example of a linear function is the function f(x) = x, which takes the real numbers to the real numbers.

Julie Silva

Linear Functions

Solve Multi-Step Equations - Example 4

In mathematics, a linear function is a function whose graph is a line. The domain of a linear function is a linear subspace of some vector space, and the range is the set of all points obtained by applying the function to a constant multiple of any of the domain's vectors. The prototypical example of a linear function is the function f(x) = x, which takes the real numbers to the real numbers.

Julie Silva

Linear Functions

Solve Multi-Step Equations - Overview

In mathematics, a linear function is a function whose graph is a line. The domain of a linear function is a linear subspace of some vector space, and the range is the set of all points obtained by applying the function to a constant multiple of any of the domain's vectors. The prototypical example of a linear function is the function f(x) = x, which takes the real numbers to the real numbers.

Julie Silva