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Algebra Language Basics

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Algebra Language Basics worksheet preview
Algebra Language Basics

Algebra Language Basics

Algebra symbols and expressions illustration

📚 Part 1: Algebra Vocabulary

1. Match each algebra term with its correct definition:
1. Variable
2. Constant
3. Expression
A. A number that doesn't change
B. A letter that represents an unknown number
C. A mathematical phrase with numbers and variables
2. Circle the variables in these expressions:

a) 3x + 7

b) 5y - 2

c) 4 + z

d) 8m + 3n - 1

🔢 Part 2: Identifying Parts of Expressions

3. For the expression 4x + 9, identify each part:

The variable is: ___________

The constant is: ___________

The coefficient of x is: ___________

4. Circle the constants in these expressions:

The 7 in 7x + 3

The 3 in 7x + 3

The x in 7x + 3

The 5 in 2y - 5

5. Which of these is an algebraic expression?

3 + 4 = 7

2x + 5

x = 8

15

📝 Part 3: Writing Expressions from Words

6. Write an algebraic expression for each situation:

a) Sarah has 3 apples and x oranges. Total fruit = ___________

b) A packet of lollies costs $2, and Jake buys y packets. Total cost = $___________

c) Emma runs 5 kilometres more than Tom. If Tom runs k kilometres, Emma runs ___________ kilometres

d) A rectangle has length 8 metres and width w metres. Its perimeter = ___________ metres

7. Match each word description to its algebraic expression:
1. Five more than a number
2. Three times a number
3. A number decreased by 4
4. Half of a number plus 6
A. 3n
B. x - 4
C. n + 5
D. ½m + 6

🎯 Part 4: Create Your Own

8. Create your own real-life situation and write an algebraic expression for it:
9. Draw a picture or diagram to represent the expression 2x + 3:
10. Explain in your own words what algebra is:

🏠 Part 5: Extension Challenge

11. True or False? Circle your answer and explain why:

a) In the expression 5x + 2, the variable could represent any number.

True / False

b) The expressions 3 + x and x + 3 mean the same thing.

True / False

12. If x = 4, what would be the value of these expressions?

a) x + 7 = ___________

b) 3x = ___________

c) 2x - 1 = ___________

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