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WorksheetsAdding and Subtracting Polynomials Checkpoint
Total questions: 20
Worksheet time: 36mins
Name
Class
Date
1.
Add to Simplify:
(4x - 2x3) + (5x3 - 4x + 5)
(4x - 2x3) + (5x3 - 4x + 5)
a)
3x3 + 5
b)
3x3 + 8x + 5
c)
3x2 + 5
d)
7x3 + 8x + 5
2.
Find the sum.
(3 - 2x + 2x2) + (4x - 5 + 3x2)
(3 - 2x + 2x2) + (4x - 5 + 3x2)
a)
7x - 7x + 5x2
b)
5x2 + 2x - 2
c)
5x2
d)
5x2 + 6x + 8
3.
What is the type of polynomial 3x4 + 2x2 + 5x ?
a)
monomial
b)
binomial
c)
trinomial
d)
polynomial
4.
Simplify the expression.
(4a3 - 8a - 4a2) + (7a3 - 7 - 6a)
(4a3 - 8a - 4a2) + (7a3 - 7 - 6a)
a)
11a3 - 4a2 - 14a - 7
b)
5a3 - 4a2 - 14a - 7
c)
5a3 - 4a2 - 20a - 7
d)
5a3 - 9a2 - 20a - 7
5.
Simplify each expression.
(6x + 4x4 - 3x2) + (7x4 + 5x2 + 8x)
(6x + 4x4 - 3x2) + (7x4 + 5x2 + 8x)
a)
11x4 + 2x2 + 14x
b)
16x4 + x2 + 14x
c)
11x4 + x2 + 14x
d)
11x4 + 2x2 + 10x
6.
Add the polynomials (x-2) and (x2+3)
a)
x2+x+1
b)
x3+5
c)
x3+1
d)
x3-1
7.
(3x2+xy-5y2) +
(2x2-xy+3y2)
(2x2-xy+3y2)
a)
5x2-2xy+8y2
b)
5x2-2y2
c)
5x2+2y2
d)
5x2+2xy-8y2
8.
What is the degree of the polynomial 3x4 + 2x2 + 5x ?
a)
1
b)
2
c)
3
d)
4
9.
Add or Subtract to Simplify:
(4x - 2x3) + (5x3 - 4x + 5)
(4x - 2x3) + (5x3 - 4x + 5)
a)
3x3 + 5
b)
3x3 + 8x + 5
c)
3x2 + 5
d)
7x3 + 8x + 5
10.
(5x - y) + (2x + 6y)
a)
7x + 7y
b)
7x + 5y
c)
7x + 6y
d)
3x - 5y
11.
(4a + 6ab - b) + (-2a - ab + 3b)
a)
2a + 7ab + 2b
b)
6a + 5ab - 2b
c)
6a + 7ab + 4b
d)
2a + 5ab + 2b
12.
What is the perimeter of the rectangle?
a)
x²+8x-5
b)
2x²+16x-10
c)
2x²+10x-8
d)
6x-2
13.
(10m - 7n) + (2m - n)
a)
12m - 8n
b)
12m - 6n
c)
12m + 8
d)
12m - 6
14.
What is the perimeter of the triangle shown?
a)
9r2+r-5
b)
9r4+r2-4
c)
9r2-r+4
d)
9r2+r-4
15.
Add or Subtract to Simplify:
(4x2+ x) - (x2+ 2x)
(4x2+ x) - (x2+ 2x)
a)
3x2 - x
b)
4x2 + 2x
c)
3x2 + 3x
d)
3x2 + 2x
16.
Add or Subtract to Simplify:
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)
a)
-8n2 - 8n + 3
b)
-7n2 - 8n + 3
c)
-6n2 - 8n + 3
d)
-7n2 - 4n + 3
17.
Add or Subtract to Simplify:
(4x - 2x3) + (5x3 - 4x + 5)
(4x - 2x3) + (5x3 - 4x + 5)
a)
3x3 + 5
b)
3x3 + 8x + 5
c)
3x2 + 5
d)
7x3 + 8x + 5
18.
Add or Subtract to Simplify:
(5x + x2 - 4) - (4x - x2 + 6)
(5x + x2 - 4) - (4x - x2 + 6)
a)
2x2 + x + 2
b)
x + 2
c)
2x2 + x - 10
d)
x - 10
19.
Add or Subtract to Simplify:
(x5 + x3) - (6x - x3 + 6x5)
(x5 + x3) - (6x - x3 + 6x5)
a)
-5x5 + 2x3 - 6x
b)
7x5 - 6x
c)
-5x3 + 2x2 - 6x
d)
-5x5 - 6x
20.
Subtract: (2a2 + 5a + 3) -(a2 - 3a - 4)
a)
3a2 + 2a - 1
b)
a2 + 8a + 7
c)
3a2 + 8a + 7
d)
a2 + 2a - 1
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