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Algebra Basics Introduction
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Algebra Basics Introduction
📚 Part 1: Multiple Choice
1. What is a variable in algebra?
A letter that can stand for different numbers
A fixed number
A multiplication sign
A decimal point
2. Simplify: 3x + 2x =
5x
6x
x + 6
3 + 2x
3. Evaluate 2a + 5 when a = 3.
11
12
10
9
4. Check all that apply: Which pairs are equivalent expressions?
x + x + x and 3x
2(x + 3) and 2x + 3
5 − y and −(y − 5)
3a and a3
✏️ Part 2: Short Answers & Worked Steps
5. Write an algebraic expression for: "seven more than a number n".
6. Solve for x: x + 6 = 11. Show your working.
7. Solve for x: 3x = 12. Show your working.
8. If m = 4 and n = 2, evaluate 2m + 3n. Show your steps.
🧩 Part 3: Matching & Application
9. Match each phrase to the correct algebraic expression.
A. a number decreased by 5
B. twice a number
C. the product of 4 and x
1. 4x
2. 2m
3. n − 5
10. Word problem: A movie ticket costs $12. Let t be the number of tickets.
Write an expression for the total cost, then evaluate it for t = 3.
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