Combining Polynomials Worksheet
Grade 8 math worksheet focusing on combining like terms in polynomial expressions through addition and subtraction.
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Standards
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Combining Polynomials
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Read each problem carefully and combine the like terms to simplify the polynomial expressions. Show all your work.
1. Terms that have the same variable and the same exponent are called .
2. When combining polynomials, we can only add or subtract .
3. The property allows us to rearrange terms in an expression.
4. Simplify: (3x² + 2x - 5) + (x² - 7x + 3)
5. Simplify: (6y + 8) + (4y - 12) + (2y + 1)
6. Simplify: (5a² - 3a + 1) - (2a² + a - 4)
7. Simplify: (7m - 9) - (3m - 5)
8. Which expression is equivalent to (4x + 7) + (2x - 3)?
6x + 10
6x + 4
2x + 4
2x + 10
9. What is the result of (10p² - 5p) - (3p² + 2p - 7)?
7p² - 7p - 7
7p² - 3p + 7
7p² - 7p + 7
13p² - 3p - 7
10. The expression 5x + 3y - 2x can be simplified to 3x + 3y.
True
False
11. To subtract polynomials, you add the opposite of each term in the second polynomial.
True
False