write out the following equation from English to algebra, the difference of x and y multiplied by the product of a 3 and x

The algebraic expression for "the difference of \( x \) and \( y \) multiplied by the product of 3 and \( x \)" is:

\[
(x - y) \cdot (3 \cdot x)
\]

Alternatively, this can be written as:

\[
(x - y)(3x)
\]

Would you like further clarification or do you have any other questions?

Here are 5 related questions you might consider:
1. How do you expand the expression \( (x - y)(3x) \)?
2. What is the difference between a product and a difference in algebraic expressions?
3. How would you factor an expression like \( 3x^2 - 3xy \)?
4. How would you solve for \( x \) if \( (x - y)(3x) = 12 \)?
5. How do you handle more complex expressions involving multiple operations?

**Tip:** When multiplying expressions, remember the distributive property: \( a(b + c) = ab + ac \).

Understand how to convert English phrases into algebraic expressions. Learn to write the expression for "the difference of x and y multiplied by the product of 3 and x" as (x - y)(3x). Suitable for Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation