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What is a proportion?
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A proportion is an equation that shows two ratios are equivalent.
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How can you determine if two ratios form a proportion?
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Two ratios form a proportion if their cross products are equal.
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What is an example of a simple proportion equation?
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An example is 3/4 = 6/8.
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How can proportions be used in real life?
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Proportions can be used in cooking and recipes to maintain ingredient ratios.
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What is the process of solving a proportion equation?
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To solve, cross-multiply the terms and solve the resulting equation for the unknown variable.
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Can proportions involve decimals?
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Yes, proportions can involve decimals as well as fractions.
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What is a common mistake when working with proportions?
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A common mistake is not making sure that the ratios are set up with the same units in both numerators and denominators.
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How does a scale model use proportions?
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A scale model uses proportions to represent an object smaller or larger than the actual object while keeping accurate relative dimensions.
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What is the importance of equivalent fractions in proportions?
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Equivalent fractions are used to simplify or rewrite proportions to show their equality more clearly.
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How do you find an unknown value in a proportion like x/6 = 3/9?
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Cross-multiply to get 9x = 18, then solve for x, giving x = 2.
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What role do proportions play in geometry?
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Proportions are used in geometry to prove the similarity of triangles and solve for unknown side lengths.
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How are proportions different from ratios?
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A proportion is a statement that two ratios are equal, while a ratio is a comparison of two quantities.
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What is meant by the term 'direct proportion'?
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Two quantities are in direct proportion if they increase or decrease at the same rate.
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How would you write the proportion between 7 and x given that it is equivalent to the ratio of 5 to 10?
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You would write it as 7/x = 5/10.
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What is the cross-multiplication method?
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Cross-multiplication is a method used to solve proportions by multiplying the outer terms by each other and the inner terms by each other, then equating the two products.
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