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Understanding Expressions Worksheet

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Understanding Expressions Worksheet 
6th grade

Algebraic expressions illustration

📚 Part 1: Identifying Expression Parts

1. Look at the expression: 3x + 7. Circle the correct answer for each part:

The variable is:

3

x

7

+

The coefficient is:

3

x

7

+

The constant is:

3

x

7

+

2. Which of these are algebraic expressions? Check all that apply:

5y + 2

8 = 3 + 5

4a - 1

x + 9

3. Fill in the blanks using the word bank:

Word Bank: variable, coefficient, constant, operation

In the expression 6m - 4:

• The letter m is called a ________________

• The number 6 is called a ________________

• The number 4 is called a ________________

• The minus sign (-) is called an ________________

✏️ Part 2: Building and Writing Expressions

4. Draw algebra tiles to represent the expression 2x + 5. Use rectangles for x-tiles and squares for unit tiles:
5. Write an algebraic expression for each description:

a) Three bags with y apples each, plus 8 more apples: ________________

b) Five times a number n, minus 2: ________________

c) A number z plus 12: ________________

6. Look at this pattern of algebra tiles and write the expression they represent:

[Imagine: 4 x-tiles and 3 unit tiles arranged together]

Expression: ________________

7. Explain in your own words: What is a variable in an algebraic expression?

🎯 Part 3: Real-World Connections

8. Maria has some stickers. She buys 3 more packs with x stickers each and gets 5 bonus stickers. Write an expression for the total number of stickers she has now:

Expression: ________________

9. Challenge: Create your own real-world situation that could be represented by the expression 4n + 10. Describe it below:
10. I Can Statement Check: Circle how confident you feel about each skill:

I can identify parts of an algebraic expression:

😊 Very confident 😐 Somewhat confident 😟 Need more practice

I can explain what a variable means:

😊 Very confident 😐 Somewhat confident 😟 Need more practice

I can write expressions from word problems:

😊 Very confident 😐 Somewhat confident 😟 Need more practice

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