Algebra 2 Course Lectures

Algebra 2 Equations and Inequalities Lectures are designed to help students understand and solve complex mathematical problems. These lectures focus on teaching students how to manipulate equations and inequalities to find solutions. The lectures cover a range of topics, including linear equations, quadratic equations, and systems of equations. Students are taught to use algebraic methods to solve problems, such as substitution and elimination. The goal of these lectures is to prepare students for advanced mathematical concepts and real-world applications.

11 topics

20 Hours

Educators

Course Curriculum

Mastering Equations and Inequalities: Your Guide to Mathematical Success

35 videos

Linear Equations and Functions

20 videos

Mastering Linear Equations and Inequalities: Essential Techniques

28 videos

Solving Systems of Equations and Inequalities: A Comprehensive Guide

25 videos

Matrices and Determinants

40 videos

Mastering Quadratic Equations: Essential Tips and Tricks

10 videos

Mastering Quadratic Functions: Unlocking Their Power

60 videos

Mastering Polynomials: Essential Tips and Tricks | [Brand Name]

50 videos

Discover the Basics of Trigonometry: Your Introduction to Triangles

44 videos

Applications of Trigonometric Functions

15 videos

Graphing Trigonometry Functions

39 videos

Mastering Equations and Inequalities: Your Guide to Mathematical Success Lecture Videos, Solved Step-by-Step

Mastering Equations and Inequalities: Your Guide to Mathematical Success

Solving Absolute Value Inequalities

In mathematics, an absolute value or modulus is the value of a number without regard to its sign. The absolute value of a real number is also called its magnitude. For example, the absolute value of five is five, but neither –5 nor 5. The absolute value of a number may be thought of as its distance from zero, as a measure of how far it is from zero on a number line. In mathematics, the absolute value (or modulus) of a real number "x" is denoted by |x|. The absolute value of a nonzero real number is greater than or equal to zero. It is also equal to the distance between the number and zero measured in the direction opposite to the negative one. The absolute value of a real number is also called its value, magnitude, or size.

Whitney Dillinger

Mastering Equations and Inequalities: Your Guide to Mathematical Success

Rewrite Equations and Formulas - Example 2

In mathematics, an equation is a statement that two mathematical expressions have the same value. Solving this equation is the process of finding the value of the unknown expression when the other expression is given. An equation is an expression of equality. The unknown appears on the left and the expression on the right of the equals sign. For example, the equation 2x + 3 = 4 has the unknown x and the expression 2x + 3 on the left and the number 4 on the right.

Whitney Dillinger

Mastering Equations and Inequalities: Your Guide to Mathematical Success

Solving Absolute Value Inequalities - Example 3

An inequality is a mathematical statement that one quantity is less than or greater than another quantity. If the statement is true for all possible values of the quantities, then the inequality is said to be "satisfiable", "valid" or "truthful"; otherwise it is said to be "unsatisfiable", "invalid" or "false".

Whitney Dillinger

Mastering Equations and Inequalities: Your Guide to Mathematical Success

Solving Compound Inequalities - Example 3

In mathematics, a compound inequality is a combination of two or more inequalities involving the same variables. The solution of a compound inequality is the set of all values of the variables that satisfy all of the inequalities.

Whitney Dillinger

Mastering Equations and Inequalities: Your Guide to Mathematical Success

Solving Linear Inequalities - Example 3

In mathematics, an inequality is a statement which is either true or false, but not both. In other words, inequalities are truth values. The opposite of an inequality is an equality. In mathematics, inequalities are represented with a less-than or greater-than symbol (?, ?).

Whitney Dillinger

Mastering Equations and Inequalities: Your Guide to Mathematical Success

Solving Linear Equations

In mathematics, a linear equation is an equation in which each term is either a constant or the product of a constant and a single variable. A linear equation is an equation in which the coefficients are constants, and the variables are raised to powers that are single integers.

Whitney Dillinger

Mastering Equations and Inequalities: Your Guide to Mathematical Success

Rewriting Equations and Formulas

In mathematics, rewriting systems, or rewriting systems and rules, are a formal system used to define functions and to prove properties of functions.

Whitney Dillinger

Mastering Equations and Inequalities: Your Guide to Mathematical Success

Simplify Algebraic Expressions

In mathematics, algebraic simplification is the process of finding a simpler equivalent algebraic expression for a given expression. This is usually done by factoring out common terms, or by combining terms through the use of algebraic identities.

Whitney Dillinger

Mastering Equations and Inequalities: Your Guide to Mathematical Success

Solving Absolute Value Equations

In mathematics, an absolute value (or modulus) is the non-negative value of some quantity. The absolute value of a real number "x" is written as |"x"|. For example, |3| = 3 and |?3| = 3. The absolute value of a complex number "x" is written as |"x"| = |"x"|. For example, |3+2i| = 5.

Whitney Dillinger

Mastering Equations and Inequalities: Your Guide to Mathematical Success

Solving Compound Inequalities

In mathematics, a compound inequality is an inequality between two or more expressions in which at least one term is a function of one or more of the others.

Whitney Dillinger

Mastering Equations and Inequalities: Your Guide to Mathematical Success

Solving Linear Inequalities

In mathematics, a linear inequality is an inequality involving a linear function. It is a constraint that a linear function must be greater than or equal to zero, or less than or equal to zero.

Whitney Dillinger

Mastering Equations and Inequalities: Your Guide to Mathematical Success

Solving Linear Equations - Example 1

In mathematics, an equation is a statement that two mathematical expressions have the same value. Solving an equation consists of determining what that value is. An equation is an algebraic expression, and may be written in many ways, but the most common forms are: 2x+5=3x+6, 2x+1=7.

Whitney Dillinger

Mastering Equations and Inequalities: Your Guide to Mathematical Success

Rewrite Equations and Formulas - Example 1

In mathematics, an equation is a statement that two mathematical expressions have the same value. Solving this equation is the process of finding the value of the unknown expression when the other expression is given. An equation is an expression of equality. The unknown appears on the left and the expression on the right of the equals sign. For example, the equation 2x + 3 = 4 has the unknown x and the expression 2x + 3 on the left and the number 4 on the right.

Whitney Dillinger

Mastering Equations and Inequalities: Your Guide to Mathematical Success

Simplify Algebraic Expressions - Example 1

Algebraic simplification is the process of transforming an algebraic expression into a simpler one. In other words, it is the process of algebraically manipulating expressions in order to make them easier to understand. It is an essential part of algebra. Algebraic simplification is also the process of simplifying an expression by using the rules of algebra. The rules of algebra are used to simplify an expression to its simplest form. The simplest form is also called the "simplest form" or the "simplest root".

Whitney Dillinger

Mastering Equations and Inequalities: Your Guide to Mathematical Success

Solving Absolute Value Equations - Example 1

In mathematics, an absolute value or modulus is the non-negative value of some number, that is, a number's distance from zero. To emphasize that the value is considered a distance rather than a magnitude, the value is often referred to as a modulus. The term absolute value has been attributed to Thomas Harriot (1560–1621), and was used by Gottfried Wilhelm Leibniz (1646–1716). It is also known as the magnitude in British English.

Whitney Dillinger

Mastering Equations and Inequalities: Your Guide to Mathematical Success

Solving Absolute Value Inequalities - Example 1

An inequality is a mathematical statement that one quantity is less than or greater than another quantity. If the statement is true for all possible values of the quantities, then the inequality is said to be "satisfiable", "valid" or "truthful"; otherwise it is said to be "unsatisfiable", "invalid" or "false".

Whitney Dillinger

Mastering Equations and Inequalities: Your Guide to Mathematical Success

Solving Compound Inequalities - Example 1

In mathematics, a compound inequality is a combination of two or more inequalities involving the same variables. The solution of a compound inequality is the set of all values of the variables that satisfy all of the inequalities.

Whitney Dillinger

Mastering Equations and Inequalities: Your Guide to Mathematical Success

Solving Linear Inequalities - Example 1

In mathematics, an inequality is a statement which is either true or false, but not both. In other words, inequalities are truth values. The opposite of an inequality is an equality. In mathematics, inequalities are represented with the symbols<, >, ?, ?.

Whitney Dillinger

Mastering Equations and Inequalities: Your Guide to Mathematical Success

Solving Linear Equations - Example 2

In mathematics, an equation is a statement that two mathematical expressions have the same value. Solving an equation consists of determining what that value is. An equation is an algebraic expression, and may be written in many ways, but the most common forms are: 2x+5=3x+6, 2x+1=7.

Whitney Dillinger

Mastering Equations and Inequalities: Your Guide to Mathematical Success

Simplify Algebraic Expressions - Example 2

Algebraic simplification is the process of transforming an algebraic expression into a simpler one. In other words, it is the process of algebraically manipulating expressions in order to make them easier to understand. It is an essential part of algebra. Algebraic simplification is also the process of simplifying an expression by using the rules of algebra. The rules of algebra are used to simplify an expression to its simplest form. The simplest form is also called the "simplest form" or the "simplest root".

Whitney Dillinger

Mastering Equations and Inequalities: Your Guide to Mathematical Success

Solving Absolute Value Equations - Example 2

In mathematics, an absolute value or modulus is the non-negative value of some number, that is, a number's distance from zero. To emphasize that the value is considered a distance rather than a magnitude, the value is often referred to as a modulus. The term absolute value has been attributed to Thomas Harriot (1560–1621), and was used by Gottfried Wilhelm Leibniz (1646–1716). It is also known as the magnitude in British English.

Whitney Dillinger

Mastering Equations and Inequalities: Your Guide to Mathematical Success

Solving Absolute Value Inequalities - Example 2

An inequality is a mathematical statement that one quantity is less than or greater than another quantity. If the statement is true for all possible values of the quantities, then the inequality is said to be "satisfiable", "valid" or "truthful"; otherwise it is said to be "unsatisfiable", "invalid" or "false".

Whitney Dillinger

Mastering Equations and Inequalities: Your Guide to Mathematical Success

Solving Compound Inequalities - Example 2

In mathematics, a compound inequality is a combination of two or more inequalities involving the same variables. The solution of a compound inequality is the set of all values of the variables that satisfy all of the inequalities.

Whitney Dillinger

Mastering Equations and Inequalities: Your Guide to Mathematical Success

Solving Linear Inequalities - Example 2

In mathematics, an inequality is a statement which is either true or false, but not both. In other words, inequalities are truth values. The opposite of an inequality is an equality. In mathematics, inequalities are represented with the symbols<, >, ?, ?.

Whitney Dillinger

Mastering Equations and Inequalities: Your Guide to Mathematical Success

Solving Linear Equations - Example 3

In mathematics, an equation is a statement that two mathematical expressions have the same value. Solving an equation consists of determining what that value is. An equation is an algebraic expression, and may be written in many ways, but the most common forms are: 2x+5=3x+6, 2x+1=7.

Whitney Dillinger

Mastering Equations and Inequalities: Your Guide to Mathematical Success

Rewrite Equations and Formulas - Example 3

In mathematics, an equation is a statement that two mathematical expressions have the same value. Solving this equation is the process of finding the value of the unknown expression when the other expression is given. An equation is an expression of equality. The unknown appears on the left and the expression on the right of the equals sign. For example, the equation 2x + 3 = 4 has the unknown x and the expression 2x + 3 on the left and the number 4 on the right.

Whitney Dillinger

Mastering Equations and Inequalities: Your Guide to Mathematical Success

Simplify Algebraic Expressions - Example 3

Algebraic simplification is the process of transforming an algebraic expression into a simpler one. In other words, it is the process of algebraically manipulating expressions in order to make them easier to understand. It is an essential part of algebra. Algebraic simplification is also the process of simplifying an expression by using the rules of algebra. The rules of algebra are used to simplify an expression to its simplest form. The simplest form is also called the "simplest form" or the "simplest root".

Whitney Dillinger

Mastering Equations and Inequalities: Your Guide to Mathematical Success

Solving Absolute Value Equations - Example 3

In mathematics, an absolute value or modulus is the non-negative value of some number, that is, a number's distance from zero. To emphasize that the value is considered a distance rather than a magnitude, the value is often referred to as a modulus. The term absolute value has been attributed to Thomas Harriot (1560–1621), and was used by Gottfried Wilhelm Leibniz (1646–1716). It is also known as the magnitude in British English.

Whitney Dillinger

Mastering Equations and Inequalities: Your Guide to Mathematical Success

Solving Linear Equations - Example 4

In mathematics, an equation is a statement that two mathematical expressions have the same value. Solving an equation consists of determining what that value is. An equation is an algebraic expression, and may be written in many ways, but the most common forms are: 2x+5=3x+6, 2x+1=7.

Whitney Dillinger

Mastering Equations and Inequalities: Your Guide to Mathematical Success

Rewrite Equations and Formulas - Example 4

In mathematics, an equation is a statement that two mathematical expressions have the same value. Solving this equation is the process of finding the value of the unknown expression when the other expression is given. An equation is an expression of equality. The unknown appears on the left and the expression on the right of the equals sign. For example, the equation 2x + 3 = 4 has the unknown x and the expression 2x + 3 on the left and the number 4 on the right.

Whitney Dillinger

Mastering Equations and Inequalities: Your Guide to Mathematical Success

Simplify Algebraic Expressions - Example 4

Algebraic simplification is the process of transforming an algebraic expression into a simpler one. In other words, it is the process of algebraically manipulating expressions in order to make them easier to understand. It is an essential part of algebra. Algebraic simplification is also the process of simplifying an expression by using the rules of algebra. The rules of algebra are used to simplify an expression to its simplest form. The simplest form is also called the "simplest form" or the "simplest root".

Whitney Dillinger

Mastering Equations and Inequalities: Your Guide to Mathematical Success

Solving Absolute Value Equations - Example 4

In mathematics, an absolute value or modulus is the non-negative value of some number, that is, a number's distance from zero. To emphasize that the value is considered a distance rather than a magnitude, the value is often referred to as a modulus. The term absolute value has been attributed to Thomas Harriot (1560–1621), and was used by Gottfried Wilhelm Leibniz (1646–1716). It is also known as the magnitude in British English.

Whitney Dillinger

Mastering Equations and Inequalities: Your Guide to Mathematical Success

Solving Absolute Value Inequalities - Example 4

An inequality is a mathematical statement that one quantity is less than or greater than another quantity. If the statement is true for all possible values of the quantities, then the inequality is said to be "satisfiable", "valid" or "truthful"; otherwise it is said to be "unsatisfiable", "invalid" or "false".

Whitney Dillinger

Mastering Equations and Inequalities: Your Guide to Mathematical Success

Solving Compound Inequalities - Example 4

In mathematics, a compound inequality is a combination of two or more inequalities involving the same variables. The solution of a compound inequality is the set of all values of the variables that satisfy all of the inequalities.

Whitney Dillinger

Mastering Equations and Inequalities: Your Guide to Mathematical Success

Solving Linear Inequalities - Example 4

In mathematics, an inequality is a statement which is either true or false, but not both. In other words, inequalities are truth values. The opposite of an inequality is an equality. In mathematics, inequalities are represented with the symbols<, >, ?, ?.

Whitney Dillinger