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Algebra Basics Worksheet

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Algebra Basics Worksheet worksheet preview

Algebra Basics Worksheet

Algebra symbols and equations

📚 Part 1: Variables and Constants

1. Circle the variables in these expressions:

a) 3x + 7 b) 2y - 4 c) 5 + z

2. Which of these is a constant?

x

8

y

a

3. Sarah has some stickers. Her friend gives her 6 more stickers. Write an algebraic expression for Sarah's total stickers:

Total stickers = ___________

4. In the expression 4n + 12, identify:

Variable: ______ Constant: ______

✏️ Part 2: Writing Expressions

5. Write an algebraic expression for each situation:

a) Tom buys some apples and 3 oranges.

Expression: ___________

b) A bus ticket costs $2.50 plus an unknown booking fee.

Expression: ___________

6. The equal sign (=) means "the same as". If x + 5 = 12, what number could x be?
7. Create your own real-world situation that could be written as the expression y - 8:

🎯 Part 3: Understanding Equality

8. True or False? Circle your answer and explain why.

a) 3 + 4 = 5 + 2 TRUE / FALSE

Explanation: _________________________________

b) x + 2 = 2 + x TRUE / FALSE

Explanation: _________________________________

9. If a student has m marbles and loses 3 marbles, write an expression for how many marbles they have left:

Marbles left = ___________

10. Look at this expression: 2w + 15. Explain what this could represent in real life:

📋 Answer Key

1. a) x b) y c) z

2. 8 (constants are fixed numbers)

3. s + 6 (where s = stickers Sarah had)

4. Variable: n, Constant: 4 and 12

5a. a + 3 (where a = apples)

5b. 2.50 + f (where f = booking fee)

6. x = 7 (because 7 + 5 = 12)

7. Sample: "You had y lollies and ate 8 of them"

8a. TRUE (both sides equal 7)

8b. TRUE (addition is commutative)

9. m - 3

10. Sample: "2 weeks of pocket money plus $15 birthday money"

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