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Polynomial Simplification Worksheet

This worksheet provides practice in simplifying polynomial expressions for Grade 10 students, including combining like terms and applying the distributive property.

Grade 10 Math AlgebraPolynomial Simplification
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2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

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

Topics

AlgebraPolynomialsSimplificationGrade 10
7 sections · Free to use · Printable
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Polynomial Simplification

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Simplify each polynomial expression. Show all your work.

1. Simplify the expression: (5x² + 3x - 2) + (2x² - 7x + 9)

2. Simplify the expression: (4y³ - 2y + 8) - (y³ + 5y - 3)

3. When combining like terms, you add or subtract their  .

4. A polynomial with three terms is called a  .

5. Which of the following is the simplified form of 3x(x - 4) + 5x?

a

3x² - 7x

b

3x² - 17x

c

3x² - 12x + 5

d

3x² + x

6. Expand and simplify: -2(3a² - 4a + 1) + 5(a² + 2a - 3)

7. Simplify: (x + 3)(x - 2) + x² - 5x

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

T

True

F

False