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

Ask by Johnston Wells. in the United States
Jan 27,2025

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The operations used in the expression \( 2x - 4 \) are **multiplication** and **subtraction**. The correct statement that describes the expression is **d) 4 less than twice a number**.

Solución

Let's analyze the expression \( 2x - 4 \) step by step. 1. **Identify the operations used in the expression:** - The expression \( 2x - 4 \) consists of: - Multiplication: \( 2x \) indicates that 2 is multiplied by \( x \). - Subtraction: The \( -4 \) indicates that 4 is subtracted from \( 2x \). Therefore, the operations used in the expression are **multiplication** and **subtraction**. 2. **Choose the correct statement that describes the expression \( 2x - 4 \):** - Let's evaluate each option: - **a)** "2 minus the product of 4 and a number" - This is incorrect because it suggests \( 2 - 4y \) for some number \( y \). - **b)** "2 less than 4 times a number" - This is incorrect because it suggests \( 4y - 2 \) for some number \( y \). - **c)** "4 minus the product of 2 and a number" - This is incorrect because it suggests \( 4 - 2y \) for some number \( y \). - **d)** "4 less than twice a number" - This is correct because it can be interpreted as \( 2x - 4 \), which means \( 4 \) is subtracted from \( 2x \). Thus, the correct operations used in the expression are **multiplication** and **subtraction**, and the correct statement that describes the expression is **d)** "4 less than twice a number."

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Mind Expander

The expression \( 2x - 4 \) involves multiplication and subtraction operations, as indicated by \( 2x \) (the multiplication of 2 and \( x \)) and the subtraction of 4. So, you're looking at both multiplying a variable by a coefficient and taking away a constant. In terms of the interpretations provided, the correct statement describing the expression \( 2x - 4 \) is "a 2 less than 4 times a number." This reflects that you're starting with \( 4x \) and subtracting 2, which captures the essence of what the expression represents. The other options don’t accurately depict the operations involved.

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