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Algebraic Language Foundations

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Algebraic Language Foundations

Algebraic symbols and mathematical notation

📚 Part 1: Algebraic Language

1. Match each algebraic statement to its correct type. Circle the best answer for each:

a) 3x + 5

Expression

Equation

Formula

b) 2y = 10

Expression

Equation

Formula

c) A = πr²

Expression

Equation

Formula

2. In the expression 4x + 7, identify each part:

The coefficient is: _______

The variable is: _______

The constant is: _______

3. Write an algebraic expression for each description:

a) Add 6 to a number: ___________

b) Subtract 3 from a number: ___________

c) A number multiplied by 5: ___________

🔢 Part 2: Substitution and Simplification

4. If x = 4, find the value of each expression:

a) x + 8 = _______

b) 3x - 5 = _______

c) 2x + 1 = _______

5. Simplify these expressions by collecting like terms:

a) 3x + 2x = _______

b) 5y + 3 + 2y = _______

c) 4a + 6 - a + 2 = _______

6. Circle all the like terms in this expression:

3x + 5y + 2x + 7 + 4y + 1

✏️ Part 3: Problem Solving

7. A rectangle has length (x + 3) metres and width (x - 1) metres.

a) Write an expression for the perimeter: ___________

b) If x = 5, what is the perimeter? _______metres

8. Explain in your own words the difference between an expression and an equation:
9. Create your own example of:

a) An expression with two terms: ___________

b) An equation using the variable y: ___________

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