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 phrase "negative three times the value of x". This means you multiply -3 by x, which can be written as \(-3 \times x\) or simply \(-3x\).
2. Next, look at the phrase "increased by 5". In algebra, "increased by" means you add 5 to the previous expression.
3. Combine the two parts into one algebraic expression by adding 5 to \(-3x\), resulting in \(-3x + 5\).
4. Write the final algebraic expression clearly as \(-3x + 5\).
5. Double-check that the expression matches the wording: a negative three times x, then increased by 5.