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Algebraic Expressions Introduction

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Algebraic Expressions Introduction

Algebraic expressions illustration

📚 Part 1: Identifying Terms and Components

1. In the expression 5x + 3y - 7, identify each component:

a) Variables: _____________

b) Coefficients: _____________

c) Constant: _____________

d) Number of terms: _____________

2. Circle the like terms in each expression:

a) 4x + 2y + 6x - 3y + 8

b) 3a - 5b + 2a + 7b - 4

c) 2m + 5n - 3m + n + 1

3. Which pairs contain like terms? Tick all that apply:

3x and 5x

4y and 4z

-2a and 7a

8 and -3

5m and 5n

✏️ Part 2: Simplifying Expressions

4. Simplify by combining like terms:

a) 7x + 3x = _____________

b) 5y - 2y + 4 = _____________

c) 3a + 2b - a + 5b = _____________

d) 8m - 3n + 2m - 6 = _____________

5. Show your working to simplify: 4x + 7 - 2x + 3 - x
6. A rectangle has length (3x + 5) metres and width (2x - 1) metres. Write a simplified expression for the perimeter.

🔧 Part 3: Distributive Property

7. Expand using the distributive property:

a) 3(x + 4) = _____________

b) 5(2y - 3) = _____________

c) -2(3a + 1) = _____________

8. Expand and simplify: 4(x + 2) + 3(x - 1)
9. Sarah buys x books at $15 each and (x + 3) pens at $2 each. Write and simplify an expression for the total cost in dollars.
10. Reflection: Explain in your own words what it means for terms to be "like terms".

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