Math Problem Statement

Translate the sentence into an equation: 'Two more than the product of a number and 8 equals 6.' Use the variable W for the unknown number.

Solution

The given sentence in the image is:

"Two more than the product of a number and 8 equals 6."

You are asked to translate this into an equation using the variable W for the unknown number.

Step-by-step translation:

  1. "The product of a number and 8" can be written as 8W8W (since "product" means multiplication, and the unknown number is represented by WW).
  2. "Two more than" means we add 2 to that product, so it becomes 8W+28W + 2.
  3. "Equals 6" means that the expression on the left-hand side is equal to 6, so we write: 8W+2=68W + 2 = 6

Final equation:

8W+2=68W + 2 = 6

Would you like a detailed solution for solving this equation? Here are a few related questions to consider:

  1. How do you solve the equation 8W+2=68W + 2 = 6?
  2. What is the solution for WW in this equation?
  3. What does "two more than the product" mean in general terms?
  4. Can this equation be rewritten in a different form before solving it?
  5. How would the equation change if the product was "3 more" instead of "2 more"?

Tip: When translating word problems into equations, look for keywords like "more than" (addition), "product" (multiplication), and "equals" (equality).

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Math Problem Analysis

Mathematical Concepts

Algebra
Equations

Formulas

Basic linear equation: ax + b = c

Theorems

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Suitable Grade Level

Grades 6-8