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Adding and Subtracting Polynomials Worksheet

Grade 11 worksheet on adding and subtracting polynomials, including combining like terms and simplifying expressions.

Grade 11 Math AlgebraAdding and Subtracting Polynomials
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Includes

3 Short AnswerFill in the BlanksMultiple Choice

Standards

CCSS.MATH.CONTENT.HSA.APR.A.1

Topics

AlgebraPolynomialsAddingSubtractingGrade 11
7 sections · Free to use · Printable
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Adding and Subtracting Polynomials

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Read each question carefully and simplify the polynomial expressions by adding or subtracting as indicated. Show all your work.

1. Add the following polynomials: (3x² + 5x - 2) + (x² - 7x + 10)

2. Find the sum of (4ab + 6b - 2a) and (8b - 3a + 5ab).

3. Subtract (2y² - 3y + 5) from (7y² + y - 4).

4. Simplify: (9m³ - 2m² + 5m) - (4m³ + m² - 3m).

5. When adding or subtracting polynomials, you must combine  .

6. The expression 5x² + 3x - 2x² can be simplified to  .

7. Which of the following is the simplified form of (6x² - 3x + 1) + (-2x² + 5x - 7)?

a

4x² + 2x + 8

b

4x² + 2x - 6

c

8x² - 8x - 6

d

8x² - 2x - 6

8. The perimeter of a triangle is given by the expression (12x + 7). If two sides of the triangle are (5x - 2) and (3x + 1), what is the length of the third side?