Simplifying Expressions

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Questions and Answers

Simplify the expression: $7x + 3x + x$

$11x$

Simplify the expression: $6a + 3a \times 2$

$12a$

Simplify the expression: $(4y - 5y) \times 2 - 3y$

$-5y$

Simplify the expression: $5x^4y - 2x^4y^2 + x^4y$

<p>$6x^4y - 2x^4y^2$</p> Signup and view all the answers

Simplify the expression: $4x + 6y + 2x - 4y + 3$

<p>$6x + 2y + 3$</p> Signup and view all the answers

Simplify the expression: $4x^2 + 3x + 4 + x^2 - 2x + 2$

<p>$5x^2 + x + 6$</p> Signup and view all the answers

Simplify the expression: $7a^7 + 7x^7 + 7a^7$

<p>$14a^7 + 7x^7$</p> Signup and view all the answers

Flashcards

Simplifying Expressions

To simplify expressions, combine like terms by adding or subtracting their coefficients.

Example: Combining 'a' terms

Combine 'a' terms: 6a + 3a * 2 = 6a + 6a = 12a

Combining 'x⁴y' terms

Combine 'x⁴y' terms: 5x⁴y - 2x⁴y² + x⁴y = 6x⁴y-2x⁴y²

Combine like terms

Combine like terms: 4x + 6y + 2x - 4y + 3 = 6x + 2y + 3

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Combine like terms, exponents

Combine like terms: 6x² + 3x + 4 + x² - 2x + 2 = 7x² + x + 6

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Combining terms with exponents

Combine like terms: 7a⁷ + 7x⁷ + 7a⁷ = 14a⁷ + 7x⁷

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Study Notes

  • Simplify addition and subtraction

Examples

  • 7x + 3x + x = 7x + 3x + x = 11x
  • 6a + 3a * 2= 6a + 6a = 12a
  • (4y - 5y)*2 -3y = 4y - 5y = -y, -y * 2 = -2y, -2y - 3y = -5y
  • 5x^4y - 2x^4y^2 + x^4y = 6x^4y - 2x^4*y^2
  • 4x + 6y + 2x - 4y + 3 = 4x + 2x + 6y - 4y + 3 = 6x + 2y + 3
  • x^2 + 3x + 4 + x^2 - 2x + 2 = 4x^2 + 1x^2 + 3x - 2x + 4 + 2 = 5x^2 + x + 6
  • 7a^7 + 7x^7 + 7a^7 = 14a^7 + 7x^7

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