Multiplying Equations Worksheet

Grade 9 Math worksheet focusing on multiplying equations, including distributive property and binomial multiplication.

Grade 9 Math AlgebraMultiplying Equations

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Includes

3 Short AnswerFill in the BlanksMultiple Choice

Standards

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

7 sections · Free to use · Printable

Multiplying Equations

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Read each question carefully and solve by multiplying the equations as indicated. Show all your work.

1. Multiply the following expressions using the distributive property:

a) 3(2x + 5)

b) -4(y - 7)

c) x(x^2 + 3x - 2)

2. Expand and simplify the following binomial products:

a) (x + 3)(x + 4)

b) (2y - 1)(y + 5)

c) (3a - 2)(3a + 2)

3. Fill in the blanks with the correct term (e.g., 'distributive property', 'FOIL method', 'difference of squares', 'perfect square trinomial').

a) The product of (x + 5)(x - 5) is an example of a .

b) To multiply a monomial by a polynomial, we use the .

c) The product of (x + 4)^2 results in a .

4. Which of the following is the correct expansion of (x - 2)(x^2 + 2x + 4)?

x^3 - 8

x^3 + 8

x^3 - 4x^2 + 8

x^3 + 4x^2 - 8

5. The length of a rectangle is (x + 6) units and its width is (x - 2) units. Write an expression for the area of the rectangle and simplify it.