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Multiplying Binomials Worksheet

Practice multiplying binomials using various methods including FOIL and algebraic expansion for Grade 9 students.

Grade 9 Math AlgebraExpressionsMultiplying Binomials
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Includes

2 Short AnswerFill in the BlanksMultiple Choice

Standards

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

Topics

AlgebraBinomialsFOILPolynomialsGrade 9 Math
6 sections · Free to use · Printable
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Multiplying Binomials

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Read each question carefully and multiply the binomials. Show all your work.

1. Multiply the following binomials using the FOIL method:

(x + 3)(x + 5)

(2x - 1)(x + 4)

(3x - 2)(2x - 3)

2. Complete the expansion of the following binomial products by filling in the blanks:

(x + 7)(x - 2) = x² +   - 14

(4x + 1)(x - 3) = 4x² - 12x +   - 3 = 4x² -   - 3

(5x - 4)(x + 2) =   + 10x - 4x -   = 5x² +   - 8

3. Which of the following is the correct product of (x - 6)(x + 6)?

a

x² - 12

b

x² - 36

c

x² + 12x - 36

d

x² - 12x + 36

4. The product of (y + 4)² is:

a

y² + 16

b

y² + 4y + 16

c

y² + 8y + 16

d

2y + 8

5. The length of a rectangle is represented by (x + 7) units and the width by (x - 2) units. Write an expression for the area of the rectangle.

6. A square has a side length of (3x + 1) units. What is the area of the square?