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Algebraic Notation Practice

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Algebraic Notation Practice

Algebraic Notation Practice

📝 Part 1: Writing Expressions Correctly

1. Rewrite these expressions using correct algebraic notation (remove unnecessary symbols):

a) 5 × x = ___________

b) 3 × y × 2 = ___________

c) a × b × 4 = ___________

d) 7 × m + 2 × n = ___________

2. Write algebraic expressions for these word descriptions:

a) Five times x plus three: ___________

b) Seven minus two times y: ___________

c) Four times a plus six times b: ___________

d) Ten divided by x minus five: ___________

🔍 Part 2: Identifying Parts of Expressions

3. For the expression 7x + 3y - 5, identify each part:

Coefficient of x: ___________

Coefficient of y: ___________

Constant term: ___________

Variables: ___________

Number of terms: ___________

4. Circle the coefficient in each term:

a) 9x

b) -4y

c) 12ab

d) x (hint: what is the invisible coefficient?)

✅ Part 3: True or False

5. Mark each statement as True or False:

True
False: 3x means 3 × x

True
False: xy means x + y

True
False: 5 + x can be written as x + 5

True
False: 2y + 3y = 5y

True
False: The coefficient of -x is -1

🔧 Part 4: Correcting Mistakes

6. These expressions contain errors. Write the correct version:

a) 4 × x × y = ___________

b) 2 + × 3 = ___________

c) 5a × 2b = ___________

d) x × 1 = ___________

7. Match the verbal description with the correct algebraic expression:
1. Three times x
2. x plus three
3. Three divided by x
4. x minus three
A. x - 3
B. 3x
C. x + 3
D. 3/x

💰 Part 5: Real-Life Applications

8. Write algebraic expressions for these real-life situations:

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

b) Sarah's age if she is 5 years older than Tom (Tom's age = t): ___________

c) The perimeter of a rectangle with length l and width w: ___________

d) The total cost of y books at $15 each plus a $3 delivery fee: ___________

9. A mobile phone plan costs $25 per month plus $0.50 for each text message sent.

If t represents the number of text messages, write an expression for the total monthly cost:

🎯 Part 6: Challenge Questions

10. Explain why we don't write the multiplication sign between a number and a variable (e.g., why 3x instead of 3 × x):
11. Create your own algebraic expression with at least 3 terms, then identify all its parts:

My expression: ___________________________

Variables: ___________________________

Coefficients: ___________________________

Constant term: ___________________________

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