Understanding Unlike Terms in Algebra
Grade 12 Algebra worksheet focusing on identifying, simplifying, and combining unlike terms in various algebraic expressions.
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Understanding Unlike Terms in Algebra
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Read each question carefully and follow the instructions to simplify algebraic expressions involving unlike terms. Remember that unlike terms cannot be combined through addition or subtraction.
1. Which of the following pairs represents unlike terms?
3x and 5x
2y² and 7y²
4ab and 6ba
8pq and 9p
2. Which expression contains only unlike terms?
5x + 2x - 3
4y + 7z - 2y
6a² + 3a - 1
pq + qr + rs
3. Terms that have different variables or different exponents for the same variable are called terms.
4. When simplifying an algebraic expression, we can only combine terms.
5. Explain in your own words why 3xy and 3x²y are considered unlike terms.
6. The terms 7abc and 5cba are unlike terms.
True
False
7. The expression 4x + 3y - 2z can be simplified further.
True
False
8. Simplify the following expression by combining like terms:
5x² + 3y - 2x² + 7y - 4
9. Simplify the expression:
(2ab + 3a) - (5ab - a + 4b)
Match each expression on the left with its simplified form on the right.
10. 3x + 5y - x + 2y
a. 2x + 7y
11. 4a² - 2a + a²
b. 5a² - 2a
12. 6m + 2n - 3m - 5n
c. 3m - 3n
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