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Algebra Basics: Introductory Worksheet

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Algebra Basics: Introductory Worksheet

Algebra illustration

🔗 Part 1: Match the Term to Its Definition

Draw a line to match each algebra term on the left to its correct definition on the right.

Variable
Constant
Expression
A fixed number that does not change (e.g., 5 or 10)
A combination of numbers and letters using operations (e.g., 3x + 4)
A letter that represents an unknown or changing number (e.g., x or y)

🔍 Part 2: Identifying Variables and Constants

Look at each expression below. Circle the variable(s) and underline the constant(s).

1.    7 + x
2.    3y – 5
3.    4a + b
4.    2x + 3
5. Which of the following are variables? Tick all that apply.

x

12

a

7

y

✏️ Part 3: Short Answer Questions

6. In your own words, what do you think a variable represents in maths?
7. Can you think of a real-life example where a variable would be useful? (Hint: think about something that can change, like the number of apples in a bag.)
8. Write your own algebraic expression using one variable and one constant. Then describe what your expression could mean.

My expression:    _______________________

It means:    _______________________________________________

9. Look at this expression:   5 + y   — is 5 a variable or a constant? How do you know?

Variable, because it is a letter.

Constant, because it is a fixed number.

I'm not sure yet.

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