Simplifying Expressions

🎬 Video Tutorial

  • (0:09) Expanding Brackets: Use the distributive law to eliminate brackets by multiplying each term inside by the term outside. For example, $2(3 + x)$ expands to $6 + 2x$.
  • (0:35) Collecting Like Terms: Combine terms that have the same variable by adding or subtracting their coefficients. For example, $-5x + 2x$ simplifies to $-3x$.
  • (2:25) Handling Negative Signs in Brackets: When a negative sign is in front of brackets, treat it as multiplying by $-1$ to reverse the signs of all terms inside the brackets.

🍪 Quiz

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Simplifying Expressions

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Q: Simplify the expression: $5y + 3y - 2y$.

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Q: Simplify the expression: $5(2x + 4)$.

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Q: Simplify the expression: $5(2x - 1)$.

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Q: Simplify the expression: $4x + 3(x - 2)$.

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Q: Simplify the expression: $2(4x + 5) - 3x$.

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Q: Simplify the expression: $2(x + 3) - 5(2x - 1)$.

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