Write the following sentence as an equation.
Seven more than twice a number is equal to $19$. Let $x$ be the number.

• A. $7+2x=19$
• B. $2(7+x)=19$
• C. $7x+19=2x$
• D. $14x=19$

Answer: (A)

Verified step by step guidance

1. Identify the variable: Let the number be represented by the variable \(x\).
2. Translate the phrase 'twice a number' into an algebraic expression: This means \$2x$.
3. Translate 'seven more than twice a number' into an expression: This means you add 7 to \$2x\(, so the expression is \)7 + 2x$.
4. Translate 'is equal to 19' into an equation: Use the equals sign to set the expression equal to 19, so you get \$7 + 2x = 19$.
5. Write the complete equation: Combine all parts to form the equation \$7 + 2x = 19$ which represents the sentence.