Understanding Unlike Terms - Grade 10 Algebra
This worksheet focuses on identifying and combining unlike terms in algebraic expressions, a fundamental skill in Grade 10 Algebra.
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Understanding Unlike Terms
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Read each question carefully and follow the instructions. Remember that unlike terms cannot be combined by addition or subtraction.
1. Which of the following pairs represents unlike terms?
$3x$ and $7x$
$5y^2$ and $2y^2$
$4ab$ and $9ba$
$2x$ and $6y$
2. Which expression contains only like terms?
$4m + 2n - m$
$7p^2 - 3p + p^2$
$10xy + 5x - 2y$
$8rs - 2sr + 5rs$
3. Terms that have the same variables raised to the same powers are called terms.
4. The expression $5x^2 + 3x - 7$ contains unlike terms.
5. You cannot combine unlike terms using or operations.
6. $4x^2y$ and $4xy^2$ are like terms.
True
False
7. The terms $12$ and $-5$ are considered like terms.
True
False
8. Identify all the unlike terms in the expression: $7a^2b + 3ab^2 - 5a^2b + 2ab - 10$.
9. Explain why $x^2$ and $x^3$ are considered unlike terms.
Use the words below to complete the sentences.
10. For terms to be terms, they must have the same and the same .
11. The numerical part of a term is called the .