Multiplying Equations Worksheet
Grade 9 Math worksheet focusing on multiplying equations, including distributive property and binomial multiplication.
Includes
Standards
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.