Pregunta
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Which operations are used in the expression \( 2 x-4 \) ? Choose ALL that multiplication subtraction Which statement describes the expression \( 2 x-4 \) ? a 2 minus the product of 4 and a number 2 less than 4 times a number 4 minus the product of 2 and a number

Ask by Griffin Cook. in the United States
Jan 27,2025

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Operations used: multiplication and subtraction. None of the provided statements correctly describe the expression \( 2x - 4 \).

Solución

Let's analyze the expression \( 2x - 4 \) step by step. 1. **Identify the operations used in the expression:** - The expression consists of two operations: - **Multiplication:** The term \( 2x \) indicates that 2 is multiplied by \( x \). - **Subtraction:** The expression includes a subtraction of 4 from \( 2x \). Therefore, the operations used in the expression \( 2x - 4 \) are **multiplication** and **subtraction**. 2. **Choose the correct statement that describes the expression \( 2x - 4 \):** - Let's evaluate each statement: - **Statement a:** "2 minus the product of 4 and a number" - This is incorrect because it suggests \( 2 - 4y \) for some number \( y \), which does not match \( 2x - 4 \). - **Statement b:** "2 less than 4 times a number" - This is incorrect because it suggests \( 4y - 2 \), which does not match \( 2x - 4 \). - **Statement c:** "4 minus the product of 2 and a number" - This is incorrect because it suggests \( 4 - 2y \), which does not match \( 2x - 4 \). None of the statements accurately describe the expression \( 2x - 4 \). The correct interpretation of \( 2x - 4 \) is "the product of 2 and a number \( x \), minus 4." In summary: - Operations used: **Multiplication** and **Subtraction**. - None of the provided statements correctly describe the expression \( 2x - 4 \).

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The Deep Dive

In the expression \( 2x - 4 \), the operations used are multiplication (where 2 is multiplied by the variable \( x \)) and subtraction (where 4 is subtracted from the product of \( 2 \) and \( x \)). To describe the expression correctly, the best choice is "2 less than 4 times a number." This means that when you have 4 times some number (which is \( 4x \)) and you take away 2, you get \( 2x - 4 \). So, it's capturing that relationship between the parts beautifully!

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