Write the following as an algebraic expression.
negative three times the value of $x$ increased by 5

• A. $-15x$
• B. $3x+5$
• C. $15x$
• D. $-3x+5$

Answer: (D)

Verified step by step guidance

1. Identify the variable and the operations described in the phrase. Here, the variable is \( x \).
2. Translate "negative three times the value of x" into an algebraic expression. This means multiplying \( x \) by \( -3 \), which gives \( -3x \).
3. Next, interpret "increased by 5" as adding 5 to the previous expression.
4. Combine the two parts to form the full expression: \( -3x + 5 \).
5. This expression correctly represents "negative three times the value of x increased by 5".