Course Content
Chapter 01 – Operations on Sets
The set operations are performed on two or more sets to obtain a combination of elements as per the operation performed on them. In a set theory, there are three major types of operations performed on sets, such as: Union of sets (∪) The intersection of sets (∩) Difference of sets ( – ) In this lesson we will discuss these operations along with their Venn diagram and will learn to verify the following laws: Commutative, Associative, Distributive, and De-Morgans' law.
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Chapter 02 – Real Numbers
All real numbers follow three main rules: they can be measured, valued, and manipulated. Learn about various types of real numbers, like whole numbers, rational numbers, and irrational numbers, and explore their properties. In this chapter, we will learn about Squares and cubes of real numbers and find their roots.
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Chapter 03 – Number System
The number system or the numeral system is the system of naming or representing numbers. There are different types of number systems in Mathematics like decimal number system, binary number system, octal number system, and hexadecimal number system. In this chapter, we will learn different types and conversion procedures with many number systems.
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Chapter 04 – Financial Arithmetic
Financial mathematics describes the application of mathematics and mathematical modeling to solve financial problems. In this chapter, we will learn about partnership, banking, conversion of currencies, profit/markup, percentage, and income tax.
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Chapter 05 – Polynomials
In algebra, a polynomial equation contains coefficients, exponents, and variables. Learn about forming polynomial equations. In this chapter, we will study the definition and the three restrictions of polynomials, we'll tackle polynomial equations and learn to perform operations on polynomials, and learn to avoid common mistakes.
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Chapter 06 – Factorization, Simultaneous Equations
In algebra, factoring is a technique to simplify an expression by reversing the multiplication process. Simultaneous Equations are a set of two or more algebraic equations that share variables and are solved simultaneously. In this chapter, we will learn about factoring by grouping, review the three steps, explore splitting the middle term, and work examples to practice verification and what simultaneous equations are with examples. Find out how to solve the equations using the methods of elimination, graphing, and substitution.
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Chapter 07 – Fundamentals of Geometry
Geometry is the study of different types of shapes, figures, and sizes. It is important to know and understand some basic concepts. We will learn about some of the most fundamental concepts in geometry, including lines, polygons, and circles.
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Chapter 08 – Practical Geometry
Geometric construction offers the ability to create accurate drawings and models without the use of numbers. In this chapter, we will discover the methods and tools that will aid in solving math problems as well as constructing quadrilaterals and right-angled triangles.
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Chapter 09 – Areas and Volumes
The volume and surface area of a sphere can be calculated when the sphere's radius is given. In this chapter, we will learn about the shape sphere and its radius, and understand how to calculate the volume and surface area of a sphere through some practice problems. Also, we will learn to use and apply Pythagoras' theorem and Herons' formula.
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Chapter 10 – Demonstrative Geometry
Demonstrative geometry is a branch of mathematics that is used to demonstrate the truth of mathematical statements concerning geometric figures. In this chapter, we will learn about theorems on geometry that are proved through logical reasoning.
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Chapter 11 – Trigonometry
Sine and cosine are basic trigonometric functions used to solve the angles and sides of triangles. In this chapter, we will review trigonometry concepts and learn about the mnemonic used for sine, cosine, and tangent functions.
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Chapter 12 – Information Handling
Frequency distribution, in statistics, is a graph or data set organized to show the frequency of occurrence of each possible outcome of a repeatable event observed many times. Measures of central tendency describe how data sets are clustered in a central value. In this chapter, we will learn to construct the frequency distribution table, and learn more about three measures of central tendency, its importance, and various examples.
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Grade 8 – Mathematics
About Lesson

What Are Taxes?

Taxes are mandatory contributions levied on individuals or corporations by a government entity—whether local, regional, or national. Tax revenues finance government activities, including public works and services such as roads and schools, or programs such as Social Security and Medicare.

In economics, taxes fall on whoever pays the burden of the tax, whether this is the entity being taxed, such as a business, or the end consumers of the business’s goods. From an accounting perspective, there are various taxes to consider, including payroll taxes, federal and state income taxes, and sales taxes.

What is Tax? - Types of Taxes, Benefits & How Does it Works?

A direct tax can be defined as a tax that is paid directly by an individual or organization to the imposing entity (generally government). Whereas, Indirect taxes are basically taxes that can be passed on to another entity or individual.

Understanding Taxes

To help fund public works and services—and to build and maintain the infrastructure used in a country—a government usually taxes its individual and corporate residents. The tax collected is used for the betterment of the economy and all who are living in it.

Tax revenues are used for public services and the operation of the government, as well as for Social Security and Medicare.1 As the large baby boomer generation has aged, Social Security and Medicare have claimed increasingly high proportions of the total federal expenditure of tax revenue.

A tax requires a percentage of the taxpayer’s earnings or money to be taken and remitted to the government. Payment of taxes at rates levied by the government is compulsory, and tax evasion—the deliberate failure to pay one’s full tax liabilities—is punishable by law. (On the other hand, tax avoidance—actions taken to lessen your tax liability and maximize after-tax income—is perfectly legal.)

Most governments use an agency or department to collect taxes.

Types of Taxes

There are several very common types of taxes:

  • Income tax—a percentage of generated income that is relinquished to the state or federal government.
  • Payroll tax—a percentage withheld from an employee’s pay by an employer, who pays it to the government on the employee’s behalf to fund Medicare and Social Security programs.
  • Corporate tax—a percentage of corporate profits taken as tax by the government to fund federal programs.
  • Sales tax—taxes levied on certain goods and services; varies by jurisdiction.
  • Property tax—based on the value of land and property assets.
  • Tariff—taxes on imported goods; imposed with the aim of strengthening domestic businesses.
  • Estate tax—rate applied to the fair market value (FMV) of property in a person’s estate at the time of death; the total estate must exceed thresholds set by state and federal governments.

Tax systems vary widely among nations, and it is important for individuals and corporations to carefully study a new locale’s tax laws before earning income or doing business there. 

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