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Write each of the following statements i...

Write each of the following statements in equation:
20 decreased by a number x is equal to 15

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To convert the statement "20 decreased by a number x is equal to 15" into an equation, follow these steps: ### Step-by-Step Solution: 1. **Identify the components of the statement**: - The phrase "20 decreased by a number x" indicates that we are starting with 20 and subtracting x from it. - The phrase "is equal to 15" indicates that the result of the subtraction is equal to 15. 2. **Translate the phrase into mathematical terms**: - "20 decreased by a number x" can be expressed as \( 20 - x \). - The phrase "is equal to" translates to the equal sign \( = \). - Finally, we have the number 15. 3. **Combine the components into an equation**: - Putting it all together, we write the equation as: \[ 20 - x = 15 \] ### Final Equation: \[ 20 - x = 15 \] ---
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MTG IIT JEE FOUNDATION-ALGEBRAIC EXPRESSIONS-SOLVED EXAMPLES
  1. What should be added to x^(2) +xy + y^(2) to obtain 4x^(2) + 8xy?

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  2. Subtract the sum of 7x^(2) - 4y^(2) " and " 4x^(2) + 3xy - 4y^(2) from...

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  3. Find the sum of the expressions: x + xy^(2) + y + ax^(2), 2ax^(2) - 2y...

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  4. Identify like terms in the following: -x^(2)y, - 4y^(2)x, 7y^(2), 2x...

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  5. Identify like terms in the following: 4ab, 7a, 8b, -3a^(2)b^(2), - 4b...

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  6. Classify into monomials, binomials and trinomials: 3x - 5y.

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  7. Classify into monomials, binomials and trinomials: x^(2)

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  8. Classify into monomials, binomials and trinomials: a + b - ab

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  9. Classify into monomials, binomials and trinomials: 50

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  10. Classify into monomials, binomials and trinomials: 2x^(2) + y(2) - x...

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  11. The length of a rectangle is 6 m more than its breadth. The perimeter ...

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  12. The perimeter of a rectangle is 36 m. Its length is 2 m greater than i...

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  13. Write each of the following statements in equation: A number x incre...

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  14. Write each of the following statements in equation: Thrice a number ...

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  15. Write each of the following statements in equation: 20 decreased by ...

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  16. Subtract 5x^(2) - 3xy + 2y^(2) "from " 7x^(2) - 5xy - 8y^(2).

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  17. Find the number of dots in the pattern 143 of the following pattern.

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  18. Priya borrowed Rs 2000 for t years at the rate of r% p.a. If interest ...

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  19. When a = 2, b = -1, c = 0, find the value of expression 2a^(2)b + 2ab^...

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  20. Find the value of 16a^(2) + 24a + 9 when a = 9.

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