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Introduction to Variables

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Introduction to Variables

Introduction to Variables

Algebraic expressions and variables illustration

🔍 Part 1: Understanding Variables

1. What is a variable? Circle the best answer:

A letter that represents an unknown number

A type of calculator

A mathematical operation

A fraction

2. In your own words, explain what a variable represents:
3. Which of these are examples of variables? Check all that apply:

x

5

y

+

a

12

🎯 Part 2: Identifying Variables in Expressions

4. Circle the variables in each algebraic expression:

a) 3x + 7

b) 2y - 5

c) a + b = 15

d) 4m + 3n - 8

5. Complete the table by identifying the variables and numbers in each expression:

Expression: 5x + 2

Variable(s): ____________

Numbers: ____________

Expression: 3a - 4b + 7

Variable(s): ____________

Numbers: ____________

6. Match each expression with its description:
1. x + 5
2. 2y
3. a - 3
4. 4b + 1
A. A number minus 3
B. Twice a number
C. A number plus 5
D. Four times a number plus 1

📝 Part 3: Writing Expressions with Variables

7. Write an algebraic expression for each situation using a variable:

a) A number increased by 8

b) Three times a number

c) A number decreased by 12

d) Five more than twice a number

8. Real-world scenarios: Write an expression using variables for each situation:

a) The cost of buying x apples at $2 each:

b) The total distance if you walk y kilometres and then 3 more kilometres:

c) Your age in 5 years if you are currently n years old:

🧮 Part 4: Working with Variables

9. If x = 4, find the value of each expression. Show your working:

a) x + 7 = ____________

b) 3x = ____________

c) 2x - 5 = ____________

10. If y = 6 and z = 2, find the value of:

a) y + z = ____________

b) y - z = ____________

c) 2y + 3z = ____________

🎨 Part 5: Creative Challenge

11. Create your own word problem that can be solved using a variable. Write the problem and the algebraic expression:

Your word problem:

Algebraic expression:

12. Draw a picture or diagram that helps explain what a variable is to someone who has never heard of them before:
13. Reflection: Why do you think variables are useful in mathematics? Give at least two reasons:

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