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Algebra Vocabulary Introduction

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Algebra Vocabulary Introduction

Algebra Vocabulary Introduction

Algebra symbols and equations illustration

📚 Part 1: Vocabulary Definitions

Instructions: Match each algebraic term with its correct definition by writing the letter in the circle.

1. Variable
2. Constant
3. Term
4. Coefficient
5. Expression
6. Equation
A. A mathematical statement with an equals sign
B. A letter that represents an unknown number
C. A number that multiplies a variable
D. A combination of numbers and variables without an equals sign
E. A fixed number that doesn't change
F. A single part of an expression

🔍 Part 2: Identifying Algebraic Elements

Look at this expression: 5x + 3 - 2y + 7

7. Circle all the variables in the expression above:

5

x

3

2

y

7

8. What is the coefficient of x in the expression 5x + 3 - 2y + 7?

5

x

3

2

9. List all the constants in the expression 5x + 3 - 2y + 7:
10. How many terms are in the expression 5x + 3 - 2y + 7?

⚖️ Part 3: Expression or Equation?

Instructions: Decide whether each example is an expression or an equation. Circle your answer.

11. 3x + 5

Expression

Equation

12. 2y - 4 = 10

Expression

Equation

13. 7a + 3b - 1

Expression

Equation

14. x + 8 = 15

Expression

Equation

15. Explain the difference between an expression and an equation:

🏗️ Part 4: Building Algebraic Understanding

16. Fill in the blanks using the words: variable, coefficient, constant, term

In the expression 4m + 9, the letter 'm' is called a _____________, the number 4 is the _____________ of m, the number 9 is a _____________, and each part (4m and 9) is called a _____________.

17. Create your own algebraic expression with:

• At least 2 variables

• At least 1 constant

• At least 3 terms

18. Look at the equation: 3x + 7 = 19

a) What is the variable? ____________

b) What is the coefficient of the variable? ____________

c) What is the constant on the left side? ____________

d) What is the constant on the right side? ____________

19. Why do you think we use letters (variables) in algebra instead of just numbers?

🎯 Part 5: Challenge Questions

20. In the expression 6xy + 2x - 5y + 8, identify:

a) All variables: ____________

b) All coefficients: ____________

c) All constants: ____________

d) Number of terms: ____________

21. Write a sentence using at least two algebraic vocabulary words from today's lesson:

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