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Adding Polynomials Practice
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Adding Polynomials Practice
Combine terms with the same variable and exponent. Write each sum in simplified form. Show your steps for written-response problems.
Add and Simplify
1.Find the sum: (6x + 8) + (3x - 11).
2.Simplify: (5x² - 2x + 7) + (4x² + 6x - 9).
3.Add the polynomials: (8y - 13) + (-3y + 5).
4.Combine like terms: (2a² + 7a - 4) + (6a² - 9a + 10).
5.Simplify the sum: (4p³ - 2p² + p + 6) + (3p³ + 5p² - 8p - 1).
Choose the Correct Sum
Select the expression that simplifies the given addition.
6.What is (3x² + 4x - 2) + (5x² - x + 9)?
- 8x² + 3x + 7
- 8x² + 5x + 7
- 2x² + 3x + 11
- 8x² + 3x - 11
7.Which expression is equal to (7b² - 5b + 3) + (2b² + 8b - 12)?
- 9b² + 3b - 9
- 9b² - 13b + 15
- 5b² + 3b - 9
- 9b² + 3b + 15
8.Find (2m³ + 5m - 7) + (6m³ - 9m + 4).
- 8m³ - 4m - 3
- 8m³ + 14m - 11
- 4m³ - 4m - 3
- 8m³ - 4m + 11
9.A student adds (4t² + 3t - 6) and (t² - 8t + 2). Which result is correct?
- 5t² - 5t - 4
- 5t² + 11t - 8
- 3t² - 5t - 4
- 5t² - 5t + 8
Apply Your Skills
10.For the class newspaper, Camila estimates one article will take (3x + 4) minutes to edit, and Andre's article will take (2x + 9) minutes. Write and simplify an expression for the total editing time.
11.One rectangular newspaper display has side lengths (2x + 5) and (x + 3). A second display has side lengths (x + 4) and (3x + 1). Find a simplified expression for the sum of their perimeters. Use P = 2(length + width).
12.Add all three expressions and simplify: (2x² + x - 5) + (3x² - 4x + 2) + (x² + 6x - 8).
13.In a sentence or two, describe how to add polynomials. What should you do with terms that do not have matching variables and exponents?
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