To analyze the statement "Seventeen is eight more than a number" and determine which accompanying responses are true, let's break the original statement down and evaluate each response one-by-one.
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This is an equation because two expressions are set equal to each other.
- True: The statement can be represented as an equation: \( 17 = x + 8 \), where \( x \) is "a number."
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The word “is” means equals.
- True: The word "is" serves to indicate equality between the two sides of the equation.
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This is an expression because it is written as a complete sentence.
- False: The statement represents an equation, not just an expression, as it indicates a relationship through "is."
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This is an expression because there is no word meaning equals.
- False: The presence of "is" indicates equality, making this a statement that is part of an equation.
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This is an equation because it is written as a complete sentence.
- False: While it is a complete sentence, the primary reason it is an equation is the presence of an equality statement ("is"), not just its completeness.
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The operation is addition.
- True: The phrase "eight more than" indicates that addition is used in the context of the equation.
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“A number” is the constant.
- False: "A number" represents a variable or unknown quantity, not a constant.
Based on this evaluation, the true statements are:
- This is an equation because two expressions are set equal to each other.
- The word “is” means equals.
- The operation is addition.
So, the three true statements from the provided options are:
- This is an equation because two expressions are set equal to each other.
- The word “is” means equals.
- The operation is addition.
1 answer