Math Problem Statement

The sum of twice a number and 19 is -23 Translate each equation

Solution

Let's break down the phrase "The sum of twice a number and 19 is -23" into a mathematical equation.

  • "Twice a number" means 2x2x where xx is the unknown number.
  • "The sum of" means we're adding something.
  • "Twice a number and 19" translates to 2x+192x + 19.
  • "Is -23" tells us that the total equals 23-23.

So, the equation becomes:

2x+19=232x + 19 = -23

If you would like, I can solve the equation for xx as well.

Would you like more details on the process or any questions about this?

Here are some related questions to explore:

  1. How do you solve the equation 2x+19=232x + 19 = -23?
  2. What does "twice a number" refer to in other contexts?
  3. How do you translate phrases with subtraction or multiplication into equations?
  4. How would the equation change if the phrase was "three times a number"?
  5. Can equations like this represent real-world problems?

Tip: When translating words into equations, focus on breaking down key terms like "sum," "twice," or "is" into mathematical operations.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

2x + 19 = -23

Theorems

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Suitable Grade Level

Grades 6-8