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Assignment BLM 361

Page history last edited by shannon beynon 9 years, 1 month ago

Practice: Add and Subtract Polynomials

 1.   Which expression represents the result of simplifying (3x – 4) + (2x + 1)?

A   6x – 4              B   6x + 4

C   5x + 3              D  5x – 3

 

 2.   Remove brackets and collect like terms. Then, simplify.

a)   (x + 3) + (x + 5)

b)   (2y – 5) + (y + 9)

c)   (5m + 1) + (2m + 2)

d)   (3 – 4d) + (d – 1)

e)   (3v – 2) + (6 – v)

f)   (k + 4) + (2 – 3k) + (6k – 1)

g)   (2p + 4) + (p – 2) + (8 – 3p)

h)   (3 – r) + (4 + 5r) + (2r – 1)

 

 3.   Write the opposite of each expression.

a)   3                      b)   –5

c)   2p                    d)   –x

e)   m + 4               f)   3b – 1

g)   x2 + 2x – 4       h)   –6 – y2

 

 4.   Which expression represents the result of simplifying (4x – 1) – (x + 1)?

A   5x + 2              B   3x – 2

C   5x                    D   3x

 

 5.   Add the opposite. Then, simplify.

a)   (4d – 2) – (d + 1)

b)   (3x – 4) – (x + 3)

c)   (2p + 5) – (3p + 2)

d)   (8 – 4m) – (m – 2)

e)   (a – 2) – (5 – 3a)

f)   (z + 7) – (4 – z)

g)   (p + 1) – (p – 2)

h)   (5 – 2b) – (6 + 4b)

 

 6.   Simplify.

a)   (6k – 4) + (2k + 4)

b)   (n + 3) + (3n – 5)

c)   (2a + 1) – (4a + 2)

d)   (5 – 3m) + (2m – 1)

e)   (b – 6) – (2 – 5b) + (b + 4)

f)   (x + 2) – (1 – x) – (5 + x)

g)   (g + 12) + (g – 7) – (2 – 3g)

h)   (1 – b) + (3 + 2b) – (b – 8)

 

 7.   Simplify.

a)   (x2 + 2x + 1) + (2x2 + 4)

b)   (4a + 3b – 6) + (2a b + 4)

c)   (2m2 + m + 12) + (3m2 + 4m – 6)

d)   (5n + mn – 3m) + (2m – 5mn + n)

 

 8.   A rectangle has length 4x + 1 and
width x + 2.

a)   Write a simplified expression for the perimeter of the rectangle.

b)   Find the perimeter of the rectangle when x = 5.

 

 9.   Three artists contributed to a coffee-table book. They each chose to be paid a different way.

Artist

Fixed Rate ($)

Royalty
($ per n books sold)

Ayesha

1000

2n

Jorge

5n

Ioana

4000

a)   Write an expression for the total earnings for each artist.

b)         Write a simplified expression for the total amount paid to Ayesha, Jorge, and Ioana.

 

BLM 3.6.1 Answers

 1.    D: 5x - 3 

 2.    a)    2x + 8 b)                  3y + 4

          c)    7m + 3                     d)     2 - 3d

          e)    2v + 4 f)                  4k + 5

          g)    10                             h)    6 + 6r

 3.    a)    -3                            b)     5

          c)    -2p                          d)     x 

          e)    -m- 4                     f)    -3b + 1

          g)    -x2- 2x + 4            h)    6 + y2 

 4.    B: 3x - 2 

 5.    a)    3d- 3                      b)    2x - 7

          c)    -p + 3                      d)    10 - 5m

          e)    4a - 7                      f)    2z + 3

          g)    3                               h)    -1 - 6b

 6.    a)    8k                            b)    4n - 2

          c)    -2a - 1                    d)    4 - m

          e)    7b - 4                      f)    x - 4

          g)    5g +3                       h)    12

 7.    a)    3x2 + 2x + 5             b)    6a + 2b - 2

          c)    5m2 + 5m + 6           d)    6n - 4mn - m

 8.    a)    P = 10x + 6 b)         56 

 9.    a)    Ayesha: 1000 + 2n; Jorge: 5n; Ioana: 4000

          b)    Total = 5000 + 7n

 

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