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WorksheetsUnit 5 Polynomials Summative Review
Total questions: 25
Worksheet time: 1hrs 22mins
Name
Class
Date
1.
Classify this polynomial by its degree and number of terms: x2 + 6
a)
Linear polynomial
b)
Quadratic trinomial
c)
Quadratic binomial
d)
Cubic binomial
2.
Classify this polynomial by its degree and number of terms: x2 + 2x + 6
a)
Linear polynomial
b)
Quadratic trinomial
c)
Quadratic binomial
d)
Cubic trinomial
3.
x4+2
a)
Quadratic binomial
b)
Quadratic monomial
c)
Quartic binomial
d)
Quartic trinomial
4.
Classify by degree of polynomial:
3x3 – 6x
3x3 – 6x
a)
Constant
b)
Linear
c)
Quadratic
d)
Cubic
5.
Classify by number of terms:
3x3 – 6x
3x3 – 6x
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
6.
When a polynomial is written in standard form, the coefficient of the first term is called the _____________.
a)
Boss coefficient
b)
Leading coefficient
c)
Best coefficient
d)
Greatest common coefficient
7.
The following polynomial is written in standard form:
7x3 - 11x2 + 8x - 5
7x3 - 11x2 + 8x - 5
a)
True
b)
False
8.
12 + 5ab2 + 2a
Rewrite the polynomial in standard form.
a)
5ab2 + 2a + 12
b)
2a + 5ab2 + 12
c)
12 + 2a + 5ab2
d)
2a + 12 + 5ab2
9.
13x2 − 5 + 6x3 − x
Which answer represents the polynomial in standard form?
a)
−5 − x + 13x2 + 6x3
b)
6x3 + 13x2 − 5 − x
c)
13x2 − 5 + 6x3 −x
d)
6x3 + 13x2 −x − 5
10.
Combine like terms to simplify:
(5x + 2) + (4x + 5)
(5x + 2) + (4x + 5)
a)
9x -7
b)
-9x-11
c)
9x+7
d)
x+7
11.
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
12.
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
13.
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
14.
(x3-x2+4) - (3x3-2x2+3)
a)
-2x3-3x2+7
b)
-2x3+x2+1
c)
2x3-3x3-1
d)
4x3-3x2+7
15.
Find the product
(x - 3)(x +10)
(x - 3)(x +10)
a)
x2 - 7x + 13
b)
x2 - 6x - 30
c)
x2 + 7x - 30
d)
x2 + 13x + 30
16.
Simplify:
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)
a)
-8n2 - 8n + 3
b)
-7n2 - 8n + 3
c)
-6n2 - 8n + 3
d)
-7n2 - 4n + 3
17.
Simplify each expression.
(6b3 + 6 - b4) - (8b3 - 6b4 + 2)
(6b3 + 6 - b4) - (8b3 - 6b4 + 2)
a)
4b4 - 2b3 + 7
b)
5b4 - 2b3 + 4
c)
b4 - 2b3 + 7
d)
5b4 - 2b3 + 7
18.
(x − 3)(6x − 2)
a)
6x2 − 20x + 6
b)
6x2 + 20x - 6
c)
6x2 +6
d)
6x + 6
19.
(x+10)(x-10)
a)
x2 - 100
b)
x2 + 100
c)
x2 + 20x - 100
d)
x2 -20x + 100
20.
(5x+2)(x2-3x+6)
a)
5x3 - 17x2 +24x +12
b)
5x3 + 17x2 - 24x +12
c)
5x3 - 13x2 + 24x +12
d)
5x3 +13x2 - 24x - 12
21.
(4a + 2)(6a2 − a + 2)
a)
24a3 + 16a2 + 6a + 4
b)
24a3 + 8a2 + 10a + 4
c)
24a3 + 8a2 + 6a + 4
d)
24a3 - 8a2 - 6a + 4
22.
Find the area of a rectangle with length (x-5) and width (3x+1).
a)
3x2+16x-5
b)
3x2-14x+5
c)
3x2-14x-5
23.
Find the sum.
(3y2 + y3 - 5) + (4y2 -4y + 2y3 + 8)
(3y2 + y3 - 5) + (4y2 -4y + 2y3 + 8)
a)
3y3 + 7y2 - 4y + 3
b)
4y2 + 3y3 - y + 3
c)
-y4 + 2y3 -y - 4
d)
4y3 + 3y2 -3y + 1
24.
What is the Area?
a)
2x2 - 3x - 18 inches2
b)
2x2 + 3x + 18 inches2
c)
2x2 + 9x - 18 inches2
d)
2x2 - 9x - 18 inches2
25.
(3x2 + 4x - 2) - (5x + 7)
a)
3x2 - x - 9
b)
2x2 - 9
c)
3x2 + 9x - 5
d)
3x2 - x + 5
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