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Introduction to Algebraic Expressions

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Introduction to Algebraic Expressions

Algebraic expressions illustration

🎯 WALT (We Are Learning To)

Today we are learning to:

• Identify variables, constants, and coefficients in algebraic expressions

• Translate word problems into algebraic expressions

• Understand that variables represent quantities that can change

📋 Success Criteria

I can show I've learned this by:

✓ Correctly identifying parts of an expression

✓ Writing algebraic expressions from word problems

✓ Explaining what a variable represents

🔍 Part 1: Identifying Expression Parts

1. Look at this expression: 5x + 3

The variable is: x

The variable is: 5

The variable is: 3

2. In the expression 7y - 4, what is the coefficient?

y

7

4

3. Which of these are constants? (Tick all that apply)

8

x

12

a

4. Complete this sentence:

In the expression 6a + 9, the number _____ is the coefficient and _____ is the constant.

✏️ Part 2: Word Problems to Expressions

5. Maya buys packets of lollies. Each packet costs $3. If she buys n packets, write an expression for the total cost:
6. Jake has 15 marbles and gives away m marbles to his friends. Write an expression for how many marbles Jake has left:
7. A footy team scores 6 points for each try (t) and 2 points for each goal (g). Write an expression for their total points:
8. Choose the correct expression: "Think of a number, multiply it by 4, then add 7"

4n + 7

4(n + 7)

7n + 4

9. Explain in your own words: What does the variable represent in question 5?
10. Challenge: Create your own word problem and write the algebraic expression for it:

Word problem:

Algebraic expression:

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