Class 8 Exam > Class 8 Questions > An algebraic equation is an _________ involvi...
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An algebraic equation is an _________ involving variables.
- a)Number
- b)Equality
- c)Equation
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
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An algebraic equation is an _________ involving variables.a)Numberb)Eq...
An algebraic equation is an equality that involves variables. It states that two expressions are equal to each other, typically connected by an equals sign =. For example, in the equation 2x+3=7, the expression 2x+3 is equal to 7. The equation shows the relationship between the variable x and the constants.
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An algebraic equation is an _________ involving variables.a)Numberb)Eq...
Algebraic Equation Involving Variables
Algebraic equation
An algebraic equation is a mathematical statement that consists of two expressions, separated by an equal sign, and involving variables. An algebraic equation represents the relationship between two or more variables.
Variables
In algebra, a variable is a symbol used to represent any number. Variables are usually represented by letters such as x, y, z, a, b, c, etc. Variables can be used to represent unknown numbers or to generalize a problem. For example, if we want to find the value of a number, we can represent it by a variable x, and then use algebraic equations to solve for x.
Involving Variables
An algebraic equation involves variables because it represents a relationship between two or more variables. The variables can be either unknown or known values. When the variables are unknown, the algebraic equation can be used to solve for the unknown variables. When the variables are known, the algebraic equation can be used to represent the relationship between the variables.
Equality
An algebraic equation involves an equal sign because it represents an equality. The equal sign indicates that the expressions on both sides of the equation have the same value. For example, the equation 3x + 4 = 10 represents the relationship between the variable x and the number 10. The left-hand side of the equation, 3x + 4, represents the value of x multiplied by 3, plus 4. The right-hand side of the equation, 10, represents the number 10. The equal sign indicates that both sides of the equation have the same value.
Therefore, an algebraic equation is an equality involving variables.
Algebraic equation
An algebraic equation is a mathematical statement that consists of two expressions, separated by an equal sign, and involving variables. An algebraic equation represents the relationship between two or more variables.
Variables
In algebra, a variable is a symbol used to represent any number. Variables are usually represented by letters such as x, y, z, a, b, c, etc. Variables can be used to represent unknown numbers or to generalize a problem. For example, if we want to find the value of a number, we can represent it by a variable x, and then use algebraic equations to solve for x.
Involving Variables
An algebraic equation involves variables because it represents a relationship between two or more variables. The variables can be either unknown or known values. When the variables are unknown, the algebraic equation can be used to solve for the unknown variables. When the variables are known, the algebraic equation can be used to represent the relationship between the variables.
Equality
An algebraic equation involves an equal sign because it represents an equality. The equal sign indicates that the expressions on both sides of the equation have the same value. For example, the equation 3x + 4 = 10 represents the relationship between the variable x and the number 10. The left-hand side of the equation, 3x + 4, represents the value of x multiplied by 3, plus 4. The right-hand side of the equation, 10, represents the number 10. The equal sign indicates that both sides of the equation have the same value.
Therefore, an algebraic equation is an equality involving variables.
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An algebraic equation is an _________ involving variables.a)Numberb)Eq...
Explanation:
An algebraic equation is a mathematical statement that expresses the equality of two algebraic expressions. The terms on both sides of the equation represent the same quantity, and the equality sign (=) indicates that they are equal. An algebraic equation involves variables, which are symbols that represent unknown values or quantities.
Examples of Algebraic Equations:
- 2x + 3 = 7
- 5y - 2 = 3y + 4
- x^2 - 4x + 3 = 0
In the first example, the variable is x, and the equation states that 2 times x plus 3 is equal to 7. In the second example, the variable is y, and the equation states that 5 times y minus 2 is equal to 3 times y plus 4. In the third example, the variable is x, and the equation is a quadratic equation that can be solved by factoring or using the quadratic formula.
Why is option B the correct answer?
Option B is the correct answer because an algebraic equation is an equality that involves variables. The other options are not accurate. A number is a numerical value that can be represented by a digit or a combination of digits. An equation is a statement that shows the equality of two expressions or quantities. None of these is too broad and does not provide a specific answer. Therefore, option B is the most appropriate answer.
An algebraic equation is a mathematical statement that expresses the equality of two algebraic expressions. The terms on both sides of the equation represent the same quantity, and the equality sign (=) indicates that they are equal. An algebraic equation involves variables, which are symbols that represent unknown values or quantities.
Examples of Algebraic Equations:
- 2x + 3 = 7
- 5y - 2 = 3y + 4
- x^2 - 4x + 3 = 0
In the first example, the variable is x, and the equation states that 2 times x plus 3 is equal to 7. In the second example, the variable is y, and the equation states that 5 times y minus 2 is equal to 3 times y plus 4. In the third example, the variable is x, and the equation is a quadratic equation that can be solved by factoring or using the quadratic formula.
Why is option B the correct answer?
Option B is the correct answer because an algebraic equation is an equality that involves variables. The other options are not accurate. A number is a numerical value that can be represented by a digit or a combination of digits. An equation is a statement that shows the equality of two expressions or quantities. None of these is too broad and does not provide a specific answer. Therefore, option B is the most appropriate answer.
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An algebraic equation is an _________ involving variables.a)Numberb)Equalityc)Equationd)None of theseCorrect answer is option 'B'. Can you explain this answer? for Class 8 2025 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about An algebraic equation is an _________ involving variables.a)Numberb)Equalityc)Equationd)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 8 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An algebraic equation is an _________ involving variables.a)Numberb)Equalityc)Equationd)None of theseCorrect answer is option 'B'. Can you explain this answer?.
An algebraic equation is an _________ involving variables.a)Numberb)Equalityc)Equationd)None of theseCorrect answer is option 'B'. Can you explain this answer? for Class 8 2025 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about An algebraic equation is an _________ involving variables.a)Numberb)Equalityc)Equationd)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 8 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An algebraic equation is an _________ involving variables.a)Numberb)Equalityc)Equationd)None of theseCorrect answer is option 'B'. Can you explain this answer?.
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