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Learn: Simplifying Algebraic Expressions
iGCSE Mathematics
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Welcome!Today we'll learn about simplifying algebraic expressions. This is an important skill in algebra that helps us solve equations efficiently. Let's break it down step by step!
What does 'simplifying' mean?To simplify an algebraic expression means to make it as concise as possible by combining like terms or simplifying operations. It helps us understand and work with expressions more easily.
Like TermsLike terms are terms that have the same variable(s) raised to the same power. For example, 3x and 5x are like terms, but 3x and 5x² are not.
Quick check: Which of the following are like terms?
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Collecting Like TermsTo simplify, add or subtract coefficients of like terms. For example, 3x + 5x = 8x. This combines the terms into one.
Simplify the expression: 4x + 6x = {{blank0}}
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Using Distributive PropertyDistributive property allows us to expand expressions like a(b + c). For example, 2(3x + 4) = 6x + 8.
Match the items on the left with their correct pairs on the right
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Simplifying with Negative NumbersWhen working with negative numbers, remember to distribute the negative sign. For example: -3(x + 2) = -3x - 6.
Which of the following are correct simplifications? (Select all that apply)
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Review Time!Great work! You've learned about simplifying algebraic expressions, combining like terms, and using distributive property. Now let's test your understanding with a few final questions.
Match the items on the left with their correct pairs on the right
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Which of the following are simplified correctly? (Select all that apply)
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Simplify: {{blank0}}(x + 3) = {{blank1}}.
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Well done!You've completed the lesson on simplifying algebraic expressions. Keep practising to master this essential skill in algebra!
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