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Algebra Basics Introduction

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Algebra Basics Introduction

Algebra Basics Introduction

Algebra symbols and expressions illustration

📚 Part 1: Algebra Vocabulary

1. Match each algebra term with its correct definition:
1. Variable
2. Constant
3. Coefficient
4. Expression
A. A fixed number that doesn't change
B. A letter representing an unknown quantity
C. A combination of variables and constants
D. The number multiplying the variable
2. Fill in the blanks using the words: variable, constant, coefficient, expression

In the algebraic _____________ 5x + 3, the letter 'x' is called a _____________, the number '5' is the _____________, and the number '3' is a _____________.

🔍 Part 2: Identifying Parts of Expressions

3. Look at the expression: 4a + 7

Variable: _________

Coefficient: _________

Constant: _________

4. Look at the expression: 2m - 6

Variable: _________

Coefficient: _________

Constant: _________

5. Circle the variables in these expressions:

3x + 5 (variable is x)

7y - 2 (variable is y)

8 + 4 (variable is 8)

5b + 1 (variable is b)

✏️ Part 3: Writing Algebraic Expressions

6. Write an algebraic expression for each word problem:

a) Three times a number: _____________

b) A number plus eight: _____________

c) Five times a number minus two: _____________

d) Seven plus four times a number: _____________

7. Real-world expressions - write an expression for each situation:

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

b) Your age in 5 years (if your current age is y): _____________

c) The perimeter of a square with side length s: _____________

🎯 Part 4: Understanding Algebraic Notation

8. Which of these show the correct way to write "4 times b"?

4 × b

4b

4 * b

All of the above are correct

9. Rewrite these expressions using proper algebraic notation:

a) 6 × x = _____________

b) 3 × y + 4 = _____________

c) 2 × a - 7 = _____________

10. True or False? Circle your answer:

a) In algebra, we can write 5n instead of 5 × n TRUE / FALSE

b) The expression 3x + 2 is the same as an equation TRUE / FALSE

c) Variables can represent any number TRUE / FALSE

💭 Part 5: Reflection

11. Explain in your own words: Why do we use letters in algebra instead of just numbers?
12. Give an example of how algebra might be useful in real life:

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