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Multiplication Worksheets

Multiplication Worksheets
  • Page 1
 1.  
What is the product of 7y and 7y?
a.
45y2
b.
55y2
c.
53y2
d.
49y2


Solution:

7y x 7y
[Original monomials.]

= 7 x 7 x y x y
[Rearrange factors.]

= 49 x y x y
[Multiply coefficients.]

= 49y2
[Add the exponents.]


Correct answer : (4)
 2.  
Evaluate the expression (7y2 - 2y - 5)(5y2 - 5y - 4), for y = 2.
a.
112
b.
114
c.
116
d.
118


Solution:

(7y2 - 2y - 5)(5y2 - 5y - 4)
[Original expression.]

= [7(2)2 - 2(2) - 5][5(2)2 - 5(2) - 4]
[Replace the variable with the value, given.]

= [7(4) - 2(2) - 5][5(4) - 5(2) - 4]
[Evaluate the exponents.]

= (28 - 4 - 5)(20 - 10 - 4)
[Simplify.]

= (19)(6)

= 114
[Multiply.]


Correct answer : (2)
 3.  
Find the product of 3y4 and 4y5.
a.
9y9
b.
15y9
c.
12y8
d.
12y9


Solution:

3y4 , 4y5
[Original polynomials.]

(3y4) x (4y5)
[Multiply the two polynomials.]

= 3 x 4 x y4 x y5
[Rearrange the factors.]

= 12y9
[Add the exponents.]

The product of 3y4 and 4y5 is 12y9.


Correct answer : (4)
 4.  
Find the product of 3y and (3y2 - 1).
a.
9y3 - 3y
b.
-9y3 - 3y
c.
-9y3 + y
d.
9y3 + 3y


Solution:

3y, (3y2 - 1)
[Original polynomials.]

(3y) x (3y2 - 1)
[Multiply the two polynomials.]

= 3y(3y2) + 3y(-1)
[Use distributive property.]

= 9y3 - 3y
[Multiply monomials.]

The product of 3y and (3y2 - 1) is 9y3 - 3y.


Correct answer : (1)
 5.  
Find the product of (- y + 4) and (- y - 4).
a.
-y2 - y + 16
b.
-y2 + 16
c.
y2 + 16y - 1
d.
y2 - 16


Solution:

(-y + 4) and (-y - 4)
[Original polynomials.]

(-y + 4) x (-y - 4)
[Multiply the two polynomials.]

= -y (-y - 4) + 4(-y - 4)
[Use distributive property.]

= -y (-y) + 4y - 4y + 4(-4)
[Use distributive property.]

= y2 - 4y + 4y - 16
[Multiply.]

= y2 - 16
[Combine like terms.]

The product of (-y + 4) and (-y - 4) is y2 - 16.


Correct answer : (4)
 6.  
Find the product of - 4y and (y2 - 2y - 2).
a.
4y3 - 8y2 - 8y
b.
4y3 + 8y2 + 8
c.
-4y3 + 8y2 + 8y
d.
None of the above


Solution:

-4y, (y2 - 2y - 2)
[Original polynomials.]

-4y x (y2 - 2y - 2)
[Multiply the two polynomials.]

= -4y x y2 + 4y x 2y + 4y x 2
[Use distributive property.]

= -4y3 + 8y2 + 8y
[Simplify.]

The product of -4y and (y2 - 2y - 2) is -4y3 + 8y2 + 8y.


Correct answer : (3)
 7.  
Find the product of (y + 2) and (y - 2).
a.
-y2 - 4
b.
-y2 + 4
c.
y2 + 4
d.
y2 - 4


Solution:

(y + 2), (y - 2)
[Original polynomials.]

(y + 2) x (y - 2)
[Multiply the two polynomials.]

= (y x y) - 2y + 2y - 4
[Use distributive property.]

= y2 - 4
[Add exponents.]

The product of (y + 2) and (y - 2) is y2 - 4.


Correct answer : (4)
 8.  
Find the product of (4y2 + 3y) and (3y2 - 3y).
a.
12y4 - 3y3 - 9y2
b.
4y4 - 3y3 - y2
c.
y4 + 4y3 - 12y2
d.
None of the above


Solution:

(4y2 + 3y) , (3y2 - 3y)
[Original polynomials.]

(4y2 + 3y) x (3y2 - 3y).
[Multiply the two polynomials.]

= (4y2 x 3y2 - 4y2 x 3y + 3y x 3y2 -3y x 3y)
[Use distributive property.]

= (12 x y2 x y2 - 3 x y2 x y - 9 x y x y)
[Use distributive property.]

= (12y4 - 3y3 - 9y2)
[Add exponents.]

The product of (4y2 + 3y) and (3y2 - 3y) is (12y4 - 3y3 - 9y2).


Correct answer : (1)
 9.  
Find the product of - 3y and (y3 - 4y2 - y - 2).
a.
-3y4 - 6y3 - 3y2 + 12y
b.
1 - 3y4
c.
-3y4 + 12y3 + 3y2 + 6y
d.
None of the above


Solution:

-3y, (y3 - 4y2 - y - 2)
[Original polynomials.]

-3y x (y3 - 4y2 - y - 2)
[Multiply the two polynomials.]

= -3 x y x y3 + 12 x y x y2 + 3 x y x y + 6 x y
[Use distributive property.]

= -3y4 + 12y3 + 3y2 + 6y
[Add exponents.]

The product of -3y and (y3 - 4y2 - y - 2) is -3y4 + 12y3 + 3y2 + 6y.


Correct answer : (3)
 10.  
Find the product of (2y2 + 5) and (y2 - 6).
a.
2y4 - 7y2 - 30
b.
2y4 + 5y2 - 5
c.
2y4 + 6y2 + 30
d.
2y4 - y2 - 12


Solution:

(2y2 + 5), (y2 - 6)
[Original polynomials.]

(2y2 + 5) x (y2 - 6)
[Multiply the two polynomials.]

= 2y2(y2 - 6) + 5(y2 - 6)
[Use distributive property.]

= 2y2(y2) + 2y2(-6) + 5(y2) + 5(-6)
[Use distributive property.]

= 2y4 - 12y2 + 5y2 - 30
[Multiply.]

= 2y4 - 7y2 - 30
[Combine like terms.]

The product of (2y2 + 5) and (y2 - 6) is 2y4 - 7y2 - 30.


Correct answer : (1)

More Multiplication Worksheets
Multiplication Facts Worksheet Multiplication Arrays Worksheet
Multiplication of Whole Numbers Worksheet Multiplication of Polynomials Worksheet
Multiplying Binomials Worksheet Multiplication Practice Worksheet
Multiplication Word Problems
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