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WorksheetsPolynomial 5.1 - 5.2
Total questions: 52
Worksheet time: 1hrs 14mins
Name
Class
Date
1.
What is the coefficient of x?
8 + 5x - y
a)
8
b)
0
c)
5
d)
-5
2.
What is the coefficient of y:
4 - 2y
4 - 2y
a)
2
b)
4
c)
-2
d)
0
3.
What is the coefficient of t3 ?
13x + 5y - 10t3
13x + 5y - 10t3
a)
-10
b)
8
c)
5
d)
13
4.
What is the coefficient of x?
9 - x
9 - x
a)
0
b)
1
c)
-1
d)
8
5.
Classify
a)
Monomial
b)
Binomial
c)
Trinomial
d)
Polynomial
6.
a)
Monomial
b)
Binomial
c)
Trinomial
d)
Polynomial
7.
a)
Monomial
b)
Binomial
c)
Trinomial
d)
Polynomial
8.
a)
Monomial
b)
Binomial
c)
Trinomial
d)
Polynomial
9.
a)
Monomial
b)
Binomial
c)
Trinomial
d)
Polynomial
10.
a)
Degree 1
b)
Degree 2
c)
Degree 3
d)
Degree 4
11.
The largest exponent which is shown in a polynomial.
a)
exponent
b)
cubic
c)
degree
d)
linear
12.
What is the degree of the following polynomial?
x3 + y2x2 + x7y7 + x8
x3 + y2x2 + x7y7 + x8
a)
14
b)
8
c)
4
d)
3
13.
What is the degree of the polynomial:
2x – 9
2x – 9
a)
0
b)
1
c)
2
d)
3
14.
Classify by number of terms:
3x2 – 8x + 1
3x2 – 8x + 1
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
15.
What is the degree of the polynomial:
7x3 – 8x2 + 9
7x3 – 8x2 + 9
a)
5
b)
2
c)
6
d)
3
16.
What is the degree of the polynomial:
-2x2 – x
-2x2 – x
a)
3
b)
x
c)
2
d)
-2
17.
What is the constant in the polynomial?
-2xyz + 3x2 - 2y2 - 6z2 + 32
-2xyz + 3x2 - 2y2 - 6z2 + 32
a)
-2
b)
3
c)
-6
d)
32
18.
What is the standard form of the polynomial,
9x2 + 5x + 27 + 2x3
9x2 + 5x + 27 + 2x3
a)
27 + 5x + 9x2 + 2x3
b)
9x2 + 5x + 2x3 + 27
c)
9x2 + 5x + 27 + 2x3
d)
2x3 + 9x2 + 5x + 27
19.
A number on its own that has a fixed value.
a)
constant
b)
coefficient
c)
term
d)
variable
20.
What are the variables in the following expression: 3z + 4x - 1 + 7y
a)
3, 4, 1 and 7
b)
z, x and y
c)
+ and -
d)
15
21.
Which one is NOT a monomial
a)
3x - 4
b)
12z
c)
14v8w
d)
lmnop
22.
What is the name of the polynomial?
12xy5z2
12xy5z2
a)
Monomial
b)
Binomial
c)
Trinomial
d)
Polynomial
23.
The number you see before a variable (Example: 6z, the 6 is the ________)
a)
coefficient
b)
variable
c)
term
d)
product
24.
A symbol for a number we don't know yet. This is usually a letter.
a)
coefficient
b)
sum
c)
variable
d)
term
25.
What do you call each part of an expression that is separated by a + or a -?
a)
coefficient
b)
constant
c)
variable
d)
term
26.
What is the coefficient in the expression: 94a+2?
a)
2
b)
4
c)
94
d)
94a
27.
What is the variable in the expression 3a - 2?
a)
3
b)
3a
c)
a
d)
2
28.
Which expression includes 2 coefficients?
a)
2x - 4
b)
8x + 2
c)
23f - 9 + 16
d)
3h + 5j -4
29.
Which expression contains exactly 3 terms?
a)
5 + 6xy
b)
9 + 4t
c)
8 + 2y - 5x
d)
24xy
30.
Which expression has 2 terms?
a)
3 + 5t - 24d
b)
15r + 10s - 12t + 4
c)
9stp - 3
d)
x/4 - 8p + 4
31.
Which expression has 4 terms?
a)
3 + 5t - 24d
b)
15r + 10s - 12t + 4
c)
9stp - 3
d)
x/4 - 8p
32.
What are the coefficients of:
12 - 8x + 14y
12 - 8x + 14y
a)
-8x, 14y
b)
12, -8, 14
c)
-8, 14
d)
12, -8x, 14y
33.
What is the constant term of:
14 - 8x - 7y
14 - 8x - 7y
a)
-8
b)
-7
c)
14
d)
none
34.
Simplify by combining like terms:
5a + 2b - 3a + 4
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
35.
3x-5x
a)
2x
b)
8x
c)
-2x
d)
15x2
36.
Simplify the expression: 3x + 2x
a)
5x
b)
x
c)
6x
d)
5
37.
n -10 +9n -3=
a)
-3
b)
9n-3
c)
n
d)
10n -13
38.
-4x - 10x
a)
-14
b)
6x
c)
-6x
d)
-14x
39.
Simplify the expression: 7v + 2 + 12 + 2v
a)
23
b)
23v
c)
9 + 14v
d)
9v + 14
40.
Combine like terms
3x + 2x + 3y - 7y
3x + 2x + 3y - 7y
a)
5x + 10y
b)
5x + 4y
c)
5x - 4y
d)
5x -10y
41.
Simplify the following expression:
(5 + 4x) + (2x - 8)
(5 + 4x) + (2x - 8)
a)
13 + 6x
b)
6x - 3
c)
6x - 13
d)
6x + 3
42.
(2x + 5y - z) + (-6x - 4y + 7z)
a)
-4x +6y + 6z
b)
4x + y + 6z
c)
-4x - y + 6z
d)
-4x + y + 6z
43.
(4x3-5x2+3x)+(-2x3-x2+6x)
a)
2x3-6x2-9x
b)
2x3+6x2+9x
c)
-2x3-6x2+9x
d)
2x3-6x2+9x
44.
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
45.
Add the polynomials (x-2) and (x2+3)
a)
x2+x+1
b)
x3+5
c)
x3+1
d)
x3-1
46.
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
47.
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
48.
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
49.
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
50.
What is the perimeter of the rectangle?
a)
x²+8x-5
b)
2x²+16x-10
c)
2x²+10x-8
d)
6x-2
51.
A rectangle has width (2x + 3) and length (2x - 4). What is the perimeter of the rectangle?
a)
4x - 12
b)
4x - 1
c)
8x - 2
d)
4x2 - 2x - 12
52.
What is the perimeter of the triangle shown?
a)
9r2+r-5
b)
9r4+r2-4
c)
9r2-r+4
d)
9r2+r-4
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