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Algebra Foundations Worksheet
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Algebra Foundations Worksheet
📚 Part 1: Identifying Variables and Constants
1. Circle the variable (letter) and underline the constant (number) in each expression:
a) x + 7
b) 3 + m
c) y - 4
d) 9 + k
2. Which of the following are algebraic expressions? Choose all that apply:
a + 5
2 + 3
x - 8
15
3. What does the letter represent in an algebraic expression?
A number that stays the same
A number that can change
Only the number 1
Nothing important
✏️ Part 2: Writing Simple Expressions
4. Write an algebraic expression for each description:
a) A number plus 6: ___________
b) 10 minus a number: ___________
c) A number plus 12: ___________
d) 8 minus a number: ___________
5. Match each expression to its description by drawing a line:
n + 4
7 - p
t + 9
5 + w
Five plus a number
A number plus nine
Seven minus a number
A number plus four
6. Sarah has x dollars. She buys a drink for $3. Write an expression to show how much money she has left:
🧠 Part 3: Reasoning About Algebra
7. If x = 5, what is the value of x + 3?
3
5
8
15
8. Create your own algebraic expression using the letter 'b' and explain what it means:
Expression: _______________
9. Explain in your own words: What is the difference between a variable and a constant?
🔍 Part 4: Circle and Match
10. Circle the letter (variable) and the number (constant) in the following expressions:
a) x + 2
b) 4 - y
c) z + 5
d) 10 - a
11. Match the following expressions to their descriptions:
x + 2
y - 3
a + 7
b - 5
A letter plus two
A letter minus three
A letter plus seven
A letter minus five
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