Podcast
Questions and Answers
What is the purpose of the distributive property in algebra?
What is the purpose of the distributive property in algebra?
Which of the following expressions can be simplified using the distributive property?
Which of the following expressions can be simplified using the distributive property?
When simplifying the expression 4(a + b), what is the first step using the distributive property?
When simplifying the expression 4(a + b), what is the first step using the distributive property?
In what scenario is the distributive property NOT applicable?
In what scenario is the distributive property NOT applicable?
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What does the expression a(b + c) = ab + ac illustrate?
What does the expression a(b + c) = ab + ac illustrate?
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Which of the following statements about fractional exponents is correct?
Which of the following statements about fractional exponents is correct?
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Why might a calculator be recommended for evaluating expressions with fractional exponents like 133.5?
Why might a calculator be recommended for evaluating expressions with fractional exponents like 133.5?
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What is the outcome of applying the distributive property to the expression 5(x - 2)?
What is the outcome of applying the distributive property to the expression 5(x - 2)?
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Study Notes
Simplification of 2/5 (n + 10)
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The expression 2/5 (n + 10) represents a product of a fraction and a binomial expression.
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To simplify the expression, we need to distribute the fraction 2/5 to each term inside the parentheses.
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Distributing 2/5 to n: (2/5) * n = (2n)/5
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Distributing 2/5 to 10: (2/5) * 10 = (2 * 10) / 5 = 20 / 5 = 4
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Combining the results: (2n)/5 + 4
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The simplified expression is (2n/5) + 4
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This is the final simplified form of the given expression. No further simplification is possible without knowing a value for 'n'.
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Description
This quiz focuses on the simplification of the expression 2/5 (n + 10). It requires distributing the fraction to each term of the binomial and combining the results. Ideal for students learning how to simplify algebraic expressions.
