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Adding and Subtracting Monomials with Geometric Application

Total questions: 12

Worksheet time: 6mins

Name
Class
Date
1.

10m2n + 7mn2 - m2n

a)

9m2n + 7mn2

b)

16m2n

c)

17m2n - mn2

d)

No change

2.

Simplify the following monomial:  5a2b2  a2b2-5a^2b^{2\ }-\ a^2b^2  

a)

 6a2b2-6a^2b^2  

b)

 4a2b2-4a^2b^2  

c)

 6a2b26a^2b^2  

d)

 6a2b26a^2b^2  

3.

Simplify: 2x2 + 3y - 2x + 5y + 2x

a)

2x2 + 8y

b)

2x + 8y

c)

2x + 5y

d)

2x2 + 4x + 8y

4.

Find the sum of 16y2 and -5y2.

a)

-11y2

b)

21y2

c)

11y2

d)

16y2 - 5y2

5.

Subtract 9a from -15a.

a)

-6a

b)

-24a

c)

24a

d)

6a

6.

Simplify the following monomial: 16x2y4xy25x2y+10xy216x^2y-4xy^2-5x^2y+10xy^2  

a)

 6xy2+21x2y6xy^2+21x^2y  

b)

 11x2y +6xy211x^2y\ +6xy^2  

c)

 6x2y+11xy26x^2y+11xy^2  

7.

Combine like terms 7p25p3+6p3+4p49p27p^2-5p^3+6p^3+4p^4-9p^2  

a)

 4p4+p32p24p^4+p^3-2p^2  

b)

 4p4+p62p44p^4+p^6-2p^4  

c)

 4p4+p3+2p24p^4+p^3+2p^2  

d)

 3p143p^{14}  

8.

Find the perimeter

a)

10x4+24x210x^4+24x^2

b)

10x2+24x10x^2+24x

c)

5x2+12x5x^2+12x

d)

5x4+12x25x^4+12x^2

9.
What is the perimeter for the given rectangle:
a)
6x3 - 9x2 + 10x - 15
b)
6x2 + 1x - 15
c)
6x2 + 4x + 4
d)
6x3 + 1x2 - 15x
10.

Find the perimeter

a)

 17a5b317a^5b^3  

b)

 14a4b2+3ab14a^4b^2+3ab  

c)

 17a3b217a^3b^2  

d)

 14a2b+3ab14a^2b+3ab  

11.

What is the perimeter of the following EQUILATERAL triangle?

a)

60m3n560m^3n^5

b)

24m4n1024m^4n^{10}

c)

24m3n524m^3n^5

d)

60m9n1560m^9n^{15}

12.

The measure of the perimeter of triangle ABC is 7x + 2y units. Find the measure of the third side of the triangle.

a)

5x - 4y

b)

x - 4y

c)

2x - 2y

d)

2x + 6y