Translating Word Phrases into Expressions

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Lesson Details

Grade Level
6-8
Duration (minutes)
2
Summary
A grade 6-8 math lesson teaching how to translate word phrases into algebraic expressions, covering key operation words (more than, decreased by, twice, quotient) with three worked examples and checks.

Translating word phrases into algebraic expressions — more than means addition, decreased by means subtraction, twice means multiply by 2, and quotient means division, with three examples: 5 more than a number is x+5, twice a number decreased by 3 is 2x−3, and the quotient of a number and 4 is x/4

Student Worksheet: Translating Word Phrases into Expressions

Teacher Note: Students can watch the video lesson above and answer the questions. Click the “Teacher Answer Key” dropdown below when you are ready to review the solutions!

Key Concepts:

• Expression: A math statement with numbers, variables, and operations, but no equal sign.

• Operation Words: “More than” means add, “decreased by” means subtract, “twice” means multiply by 2, “quotient” means divide.

• The Process: Find the variable, find the operation words, write the expression using symbols.

Instructions: Read each question carefully and write your answer in the space provided.

  1. Question 1: Translate: “5 more than a number”
  2. Question 2: Translate: “Twice a number decreased by 3”
  3. Question 3: Translate: “The quotient of a number and 4”
  4. Question 4: What operation does the word “quotient” tell you to use?
  5. Question 5: What are the three steps for translating a word phrase into an expression?
Click to reveal Teacher Answer Key

1. x + 5

2. 2x − 3

3. x / 4

4. Division

5. Find the variable, find the operation words, write the expression using symbols

Disclaimer: This worksheet was generated with AI assistance based on original video content. It is intended for educational reference only. Teachers are encouraged to review and adjust questions to fit their curriculum standards before classroom use.

🎯 Extension Activity: Give students a new phrase, like "8 decreased by twice a number," and have them translate it into an expression, then check their work by substituting a value for x.

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