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Algebra Vocabulary Foundations

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Algebra Vocabulary Foundations

Algebra Vocabulary Foundations

Algebra symbols and mathematical expressions

📚 Part 1: Vocabulary Definitions

1. Match each algebra vocabulary word with its correct definition:
1. Expression
2. Term
3. Formula
4. Equation
5. Function
A. A mathematical statement with an equals sign
B. A single number, variable, or product of numbers and variables
C. A mathematical phrase with numbers, variables, and operations (no equals sign)
D. A rule that relates inputs to outputs
E. An equation used to calculate something specific

🔍 Part 2: Identifying Examples

2. Circle whether each example is an Expression, Term, Formula, Equation, or Function:

a) 3x + 5

Expression

Term

Formula

Equation

Function

b) 7y

Expression

Term

Formula

Equation

Function

c) Area = length × width

Expression

Term

Formula

Equation

Function

d) 2x + 3 = 11

Expression

Term

Formula

Equation

Function

e) f(x) = 2x + 1

Expression

Term

Formula

Equation

Function

✏️ Part 3: Create Your Own

3. Write your own example for each vocabulary word:

a) Write a term:

b) Write an expression:

c) Write a formula (you can use words or symbols):

d) Write an equation:

e) Write a function using function notation:

🧩 Part 4: Fill in the Blanks

4. Complete the sentences using the vocabulary words:

a) A _____________ is a mathematical phrase that contains numbers, variables, and operations but no equals sign.

b) An _____________ is a mathematical statement that shows two expressions are equal.

c) A _____________ is a single part of an expression, such as 5x or -3.

d) A _____________ is a special type of equation used to calculate something, like distance or area.

e) A _____________ is a rule that assigns exactly one output to each input.

🎯 Part 5: Real-World Applications

5. For each situation, identify what type of algebra concept is being used:

a) The cost of petrol is $2.50 per litre. If you buy x litres, the total cost is 2.50x.

This is an example of a/an: _______________

b) To find the perimeter of a rectangle: P = 2l + 2w

This is an example of a/an: _______________

c) If 3x + 7 = 22, find the value of x.

This is an example of a/an: _______________

6. Create a real-world problem that could be solved using algebra. Write the algebraic expression or equation you would use:

Problem:

Algebraic expression or equation:

🤔 Part 6: Reflection

7. Reflection questions:

a) What is one new thing you learnt about algebra vocabulary today?

b) Which concept do you find most challenging and why?

c) Give an example of how you might use algebra in your everyday life:

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