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Simplifying Polynomials Worksheet

Grade 10 Math worksheet covering simplifying polynomials through addition, subtraction, and multiplication.

Grade 10 Math AlgebraSimplifying Polynomials
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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

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

Topics

AlgebraPolynomialsSimplifyingGrade 10
7 sections · Free to use · Printable
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Simplifying Polynomials

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Read each question carefully and simplify the polynomials as indicated. Show all your work.

1. Simplify the following expression: (3x² + 2x - 5) + (x² - 7x + 3)

2. Simplify the following expression: (6y³ - 4y + 2) - (2y³ + 5y - 8)

3. The product of 2x and (x + 5) is  .

4. Expand and simplify: (x + 3)(x - 2) =  .

5. Which of the following is equivalent to (4a + 1)(a - 3)?

a

4a² - 11a - 3

b

4a² - 13a - 3

c

4a² - 11a + 3

d

4a² - 13a + 3

6. When adding polynomials, you combine like terms.

T

True

F

False

7. Simplify the expression: 3x(x - 2) - 2(x² + 5x - 1)