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Multiplying Monomials and Polynomials

Grade 9 math worksheet focusing on multiplying monomials, binomials, and polynomials using various methods.

Grade 9 Math AlgebraMultiplying Monomials and Polynomials
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Includes

Fill in the Blanks2 Short AnswerMultiple ChoiceTrue / False

Standards

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

Topics

AlgebraMonomialsPolynomialsMultiplicationGrade 9
7 sections · Free to use · Printable
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Multiplying Monomials and Polynomials

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Read each question carefully and show all your work. Simplify your answers completely.

1. Simplify: (3x²)(5x³) =  

2. Simplify: (-4ab)(2a²b³) =  

3. Simplify: (6m⁴n)(-3m²n⁵) =  

4. Distribute and simplify: 2x(x² + 3x - 5)

5. Distribute and simplify: -3a²(4a³ - 2a + 7)

6. Which expression is equivalent to (x + 3)(x - 2)?

a

x² + x - 6

b

x² - x - 6

c

x² + 5x - 6

d

x² - 5x - 6

7. What is the product of (2y + 1)(y + 4)?

a

2y² + 4

b

2y² + 9y + 4

c

2y² + 8y + 4

d

3y² + 5y + 4

8. Multiply and simplify: (x + 2)(x² - 3x + 1)

9. Multiply and simplify: (3x - 1)(x² + 2x - 4)

10. The product of two monomials is always a monomial.

T

True

F

False

11. The term 'FOIL' can be used to multiply any two polynomials.

T

True

F

False