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Algebraic Expressions Introduction

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Algebraic Expressions Introduction

Algebraic expressions illustration

📚 Part 1: Understanding Variables and Constants

1. Which of the following is a variable?

5

x

12

100

2. In the expression 3x + 7, which parts are constants? (Check all that apply)

3

x

7

+

3. What does the variable represent in this situation: "Sarah has x marbles and Tom has 5 marbles"?

The number of marbles Tom has

The unknown number of marbles Sarah has

The total number of marbles

The number 5

4. Circle the algebraic expressions from the list below:

a) 2x + 5 b) 15 = 15 c) 3y - 8 d) 4 + 7 = 11 e) 5a

✏️ Part 2: Writing and Interpreting Expressions

5. Write an algebraic expression for each situation:

a) A number multiplied by 4: ___________

b) 6 more than a number: ___________

c) A number decreased by 10: ___________

6. If x = 3, find the value of each expression:

a) 2x + 4 = ___________

b) 5x - 1 = ___________

c) 3x + 7 = ___________

7. Write a real-life situation that could be represented by the expression "n + 8":

🎯 Part 3: Understanding Equations

8. What does the equal sign (=) mean in mathematics?

Find the answer

The same as

Add the numbers

Write down

9. Which of these is an equation? (Check all that apply)

x + 5

3x = 12

2y + 7 = 15

4a - 3

10. Explain in your own words what a variable is and why we use them in mathematics:

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