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Algebraic Expressions Introduction

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Algebraic Expressions Introduction

Algebraic Expressions Introduction

Algebraic expressions with variables and numbers

🔍 Part 1: Identifying Parts of Algebraic Expressions

1. In the expression 5x + 3, identify each part by circling the correct answer:

The variable is:

5

x

3

The coefficient is:

5

x

3

The constant is:

5

x

3

2. For each expression below, write V above variables, C above coefficients, and K above constants:

a) 7y - 2

b) 3a + 8b + 1

c) 12m - 5n + 9

📝 Part 2: Writing Algebraic Expressions

3. Write an algebraic expression for each phrase:

a) Four times a number: ___________

b) A number plus seven: ___________

c) Three more than twice a number: ___________

d) Five less than a number: ___________

e) Six times a number minus four: ___________

4. Real-life scenarios - write an algebraic expression:

a) The cost of buying x pies at $4 each: ___________

b) Your age in 5 years if you are currently y years old: ___________

c) The total distance if you walk 3 kilometres plus d more kilometres: ___________

d) The temperature after it drops 8°C from the current temperature of t°C: ___________

🔗 Part 3: Matching Activity

5. Match each verbal phrase with its correct algebraic expression:
1. Double a number plus one
2. A number decreased by six
3. Three times a number minus two
4. Eight more than a number
5. Half a number plus four
A. x + 8
B. 3x - 2
C. x/2 + 4
D. 2x + 1
E. x - 6

🧮 Part 4: Understanding Algebraic Notation

6. Rewrite these expressions using correct algebraic notation (remember: we don't write the × symbol):

a) 4 × y = ___________

b) 3 × a × b = ___________

c) 2 × x + 5 × z = ___________

d) 1 × m + 7 = ___________

7. Which of these expressions are written correctly? Check all that apply:

5x

3 × y

2a + 4b

7 * m

6n - 2

💭 Part 5: Thinking and Explaining

8. Explain the difference between a variable, coefficient, and constant in your own words:
9. Create your own algebraic expression and label its parts:

My expression: ___________________

10. Challenge: Write an expression for the total cost of buying p pens at $2 each and n notebooks at $5 each, plus a $3 delivery fee:

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