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Algebra Practice Worksheet
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Algebra Practice Worksheet
📚 Part 1: Multiple Choice & Matching
1. Simplify: 3x + 5x =
8x
15x
2x
2. Solve: 2x − 5 = 9. What is x?
2
7
14
3. Expand: (x + 3)(x − 2) =
x^2 + x − 6
x^2 + x + 6
x^2 − x − 6
4. Check all that apply: Which are roots of x^2 − 5x + 6 = 0?
x = 2
x = 3
x = −2
x = −3
5. Match each expression to its simplified form. Draw a line between matching pairs.
A. 2(x + 3)
B. x^2 − 9
C. 4x − 2x
D. (x + 2)(x + 1)
1. x^2 + 3x + 2
2. 2x + 6
3. x^2 − 9
4. 2x
✏️ Part 2: Short Answers & Problem Solving
6. Solve for x: (1/3)x + 4 = 10. Show your working.
7. Factorise completely: x^2 − 9 = ________
8. Two consecutive integers have a product of 56. Find the integers.
9. Solve the simultaneous equations:
2x + y = 7
x − y = 1
Find x and y.
2x + y = 7
x − y = 1
Find x and y.
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