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9.1-9.4 Review

Total questions: 57

Worksheet time: 5hrs 45mins

Name
Class
Date
1.
Classify by the DEGREE:
3x - 2
a)
1
b)
2
c)
3
d)
4
2.
Is the expression below a polynomial?
x0.25 − x
a)
yes
b)
no
3.
Polynomial or not?
5x4 - 7x
a)
polynomial
b)
not a polynomial
4.
Polynomial or not?
a)
polynomial
b)
not a polynomial
5.
Identify the degree of the following monomial:
3
a)
2
b)
1
c)
0
d)
x
6.

Is the following a polynomial?

9m

a)

yes

b)

no

7.

Which of the statements below are NOT true when it comes to describing the following expression?

0.234y99

a)

It's a polynomial.

b)

It has a degree of 0.234.

c)

It has a coefficient of 0.234.

d)

It has a degree of 99.

8.

What degree is the following polynomial?

5p4 − 2p5

a)

4

b)

2

c)

5

d)

none of the above

9.

Is the expression below a polynomial?

x0.25 − x

a)

Yes, it is a polynomial.

b)

No, it is not a polynomial.

10.

What is the leading coefficient of this polynomial?

a)

8

b)

-4

c)

-1

d)

1

11.

What is the degree of the polynomial?

a)

2

b)

3

c)

4

d)

5

12.

Classify:

2x⁴ + 14x³ − 2x²

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Not a Polynomial

13.

Classify:

2n³

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Not a Polynomial

14.
Classify:
x³ + 3x
a)
Monomial
b)
Binomial
c)
Trinomial
d)
Polynomial
15.

How many terms does this polynomial have?

2x + y + z

a)

1

b)

2

c)

3

d)

4

16.

What is the degree?

6x2 + 7x4 + x3 + x

a)

10

b)

2

c)

3

d)

4

17.

What is the degree?

2x2 - 5

a)

1

b)

2

c)

3

d)

4

18.

What is the degree?

4x3 - 5x2 + 2x - 1

a)

1

b)

2

c)

3

d)

4

19.
What is the degree of the monomial?
a)
5
b)
3
c)
8
d)
9
20.

What degree is this polynomial?

a)

3

b)

5

c)

8

d)

It is not a polynomial

21.

Add the polynomials:

(2x + 5y) + (3x - 2y)

a)

3x + 5y

b)

5x + 3y

c)

5x + 7y

d)

7xy + 1xy

22.

Add the polynomials:

(3x3 + 3x2 – 4x + 5) + (x3 – 2x2 + x – 4)

a)

4x3 + 1x2 – 3x + 1

b)

2x3 + 1x2 - 5x + 9

c)

6x3 + 1x - 1x2 - 3

d)

3x5 +1x - 1x5 - 3x

23.

(4x2 + x) - (x2 + 2x)

a)

3x2 - x

b)

4x2 + 2x

c)

3x2 + 3x

d)

3x2 + 2x

24.

Simplify the expression.

(4n4 - 8n + 4) - (8n2 + 4n4 + 1)

a)

-8n2 - 8n + 3

b)

-7n2 - 8n + 3

c)

-6n2 - 8n + 3

d)

-7n2 - 4n + 3

25.

Multiply:

(4x + 1)(5x − 2)

a)

20x2 + 3x − 2

b)

20x2 − 11x + 5

c)

20x2 − 18x + 2

d)

20x2 − 3x − 2

26.

(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

27.

Find the difference.

(3 - 2x + 2x2) - (4x -5 + 3x2)

a)

x2 + 6x + 8

b)

2x2 + 5x - 7

c)

-x2 -6x + 8

d)

-2x2 + 11x - 4

28.
Find the product.
(x+7)2
a)
x2 + 7x + 7x + 49
b)
x2 + 7x + 7
c)
7x2 + x + 7
d)
x2 + 14x + 49
29.

Simplify:

(3x - 5) (4x2 - 2x - 3)

a)

12x3 - 26x2 - 25x + 15

b)

12x3 - 20x2 - 5x + 15

c)

12x3 - 20x2 - 6x + 15

d)

12x3 - 26x2 + x + 15

30.

Which expression is equivalent to:

(2x2 + 5x - 7)(x - 2)?

a)

2x3 - x2 + 17x -14

b)

2x3 + 9x2 + 3x +14

c)

2x3 + x2 + 3x +14

d)

2x3 + x2 - 17x +14

31.

The base of a triangle is 6x + 4 and the height is 3x + 2. What is the area of the triangle?

a)

9x2 + 12x + 4

b)

9x2 + 4

c)

18x2 + 8

d)

18x2 + 24x + 8

32.
Simplify:
a)
9n3 + 4n
b)
7n3 + 6
c)
-3n3 + 2
d)
7n6 + 6
33.
Simplify:
a)
0
b)
-3n3 +8n
c)
-3n6 
d)
-6n3
34.
(x - 4)2
a)
x2 - 16
b)
x2 + 16
c)
x2 - 8x + 16
d)
x2 + 8x - 16
35.

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

36.
a)

19

b)

24

c)

26

d)

13

37.
a)

17

b)

24

c)

34

d)

12

38.
a)

15 years old

b)

5 years old

c)

20 years old

d)

25 years old

39.
a)

92

b)

93

c)

94

d)

96

40.
a)

19

b)

20

c)

22

d)

24

41.
a)

27

b)

25

c)

23

d)

29

42.
a)

28

b)

29

c)

25

d)

30

43.
a)

180

b)

93

c)

17

d)

27

44.
a)

36

b)

27

c)

54

d)

108

45.
a)

17

b)

93

c)

51

d)

129

46.
The sum of three consecutive even integers is 618.  What is the largest number in the group?
a)
207
b)
209
c)
206
d)
208
47.
The sum of three consecutive numbers is -30.  What is the smallest of the three numbers?
a)
-10
b)
-11
c)
-12
d)
-9
48.

What is the GCF? 5x2 + 20x

a)

5

b)

x

c)

5x

d)

20x

49.

What is the GCF? 3x2 - 2x

a)

3

b)

3x

c)

x

d)

2

50.
Factor:
x2 - 5x
a)
1(x - 5)
b)
x(x - 5x)
c)
x(x - 5)
d)
x2(1 - 5)
51.
Factor:
10x + 15
a)
100x + 150
b)
10(x + 5)
c)
1(10x + 15)
d)
5(2x + 3)
52.

What is the GCF? 2x2 - 4x + 8

a)

2x

b)

2

c)

x

d)

1

53.

Factor by using GCF:

8n3 + 2n2

a)

2n2(4n - 1)

b)

2n2(4n + 1)

c)

n2(8n + 2)

d)

3n(4n + 1)

54.

Factor by using GCF:

10x2 + 15x-5

a)

25(10x3 + 45x - 15)

b)

5(2x3 + 3x2 - x)

c)

x(10x3 + 15x - 5)

d)

5(2x2 + 3x - 1)

55.
3x3 + 9x2 - 15x 
a)
x(3x2 + 9x - 15) 
b)
3x(x2 + 3x - 5)
c)
3x(x2 - 9x + 15) 
d)
x(3x2 -9x + 15) 
56.

Factor:

2n2 + 16n + 12

a)

2n(n2 + 24n + 6)

b)

2(n2 + 8n + 6)

c)

2n(n2 + 8n + 6)

d)

3(n2 + 8n + 6)

57.

Factor:

- 60x7 + 80x5 - 70x2

a)

2x2(-60x6 + 80x3 - 70)

b)

10x2(-60x6 + 80x4 - 70x)

c)

10x2(-6x5 + 8x3 - 7)

d)

3x2(-60x5 + 80x3 - 40)

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