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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 stays the same
B. A letter that represents an unknown number
C. A mathematical phrase with numbers and variables
2. Circle the variables in these expressions:

3x + 5     2y - 7     4 + z     8m + 3n

🔍 Part 2: Identifying Parts of Expressions

3. For the expression 5x + 8, identify each part:

The variable is: ___________

The constant is: ___________

The coefficient of x is: ___________

4. Which of these are algebraic expressions? Check all that apply:

3x + 7

15

2y - 4

x = 10

4a + 2b

✍️ Part 3: Writing Expressions from Words

5. Write an algebraic expression for each situation:

a) Sarah has 3 more apples than Tom. If Tom has x apples, how many does Sarah have?

b) A packet of lollies costs $2, and a drink costs d dollars. What is the total cost?

c) Jake runs 5 kilometres every day for n days. How many kilometres does he run in total?

6. Choose the correct algebraic expression for "4 less than a number y":

4 - y

y - 4

4y

y + 4

🎯 Part 4: Real-Life Algebra

7. At the school canteen, pies cost $4 each and juice boxes cost $2 each. Write an expression for the total cost if you buy p pies and j juice boxes:
8. Emma saves $10 each week. After w weeks, she has saved a total of $50 plus her weekly savings. Which expression shows her total savings?

10w

50 + 10w

50w + 10

60w

9. Create your own real-life situation and write the algebraic expression for it:

Situation:

Algebraic Expression:

🤔 Part 5: Thinking About Algebra

10. Explain in your own words what algebra is and why it might be useful:
11. Fill in the blanks using the words: variable, constant, expression

In the _____________ "7x + 12", the letter x is called a _____________ because it can represent different numbers. The number 12 is called a _____________ because it always stays the same.

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