Questions: Write the phrase as an algebraic expression. Use x to represent "a number." The product of -12 and a number, increased by 5

Write the phrase as an algebraic expression. Use x to represent "a number." The product of -12 and a number, increased by 5
Transcript text: Write the phrase as an algebraic expression. Use $x$ to represent "a number." The product of -12 and a number, increased by 5
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Solution

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Solution Steps

To convert the given phrase into an algebraic expression, identify the operations described: "the product of -12 and a number" translates to \(-12 \times x\), and "increased by 5" means adding 5 to the product. Therefore, the algebraic expression is \(-12x + 5\).

Step 1: Identify the Expression

The phrase "the product of -12 and a number, increased by 5" can be translated into an algebraic expression. This involves multiplying \(-12\) by a variable \(x\) and then adding \(5\). Thus, the expression can be written as: \[ -12x + 5 \]

Step 2: Simplify the Expression

The expression can be rearranged for clarity. By factoring out the negative sign, we can rewrite it as: \[ 5 - 12x \]

Final Answer

The algebraic expression representing the phrase is: \[ \boxed{5 - 12x} \]

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