Algebraic Expressions in English

Algebraic expressions can be written out in sentences. When you see a word in a written out algebraic expression, it can instruct you to add, subtract, multiply or divide.

Steps to Solving a Mathematical Word Problem

1. Read the Problem Carefully

• Understand the context and main question.
• Identify and highlight key information and data provided.

2. Identify What is Given and What is to be Found

• List all the given quantities and variables.
• Determine what you need to find.

3. Translate the Problem into a Mathematical Model

• Convert words into mathematical expressions or equations.
• Assign variables to unknown quantities.

4. Set Up the Equations

• Use relevant mathematical formulas or relationships.
• Ensure the equations accurately represent the problem.

5. Solve the Equations

• Manipulate the equations to isolate the unknown variable(s).
• Use appropriate algebraic methods (addition, subtraction, multiplication, division, factoring, etc.).

6. Check the Solution

• Verify that the solution satisfies the original equations.
• Ensure that the solution makes sense in the context of the problem.

7. Interpret the Results

• Translate the mathematical solution back into the context of the problem.
• Ensure the answer addresses the question asked.

Below are some common phrases that are used in writing out algebraic expressions

For example:

5x + 4 can be written as four more than the product of 5 and x