Wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Polynomials Quiz (MAKEUP- Add/Sub/Mult/Div/Exponent Laws)

Total questions: 50

Worksheet time: 1hrs 18mins

Name
Class
Date
1.
Add or Subtract to Simplify:
(4x2+ x) - (x2+ 2x)
a)
3x2 - x
b)
4x2 + 2x
c)
3x2 + 3x
d)
3x2 + 2x
2.
Add or Subtract to Simplify:
 (x + 2x2) + (4x2 + 7x)
a)
6x2 + 8x
b)
8x2 + 6x
c)
2x2 + 6x
d)
2x2 + 8x
3.
Simplify the expression.
(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
4.
(2x + 5y - z) + (-6x - 4y + 7z)
a)
-4x2 +6y2 + 6z2
b)
4x + y + 6z
c)
-4x2 - y2 + 6z2
d)
-4x + y + 6z
5.
Find the sum.
(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
6.
Simplify each expression. 
(6x + 4x4 - 3x2) + (7x4 + 5x2 + 8x)
a)
11x4  + 2x2 + 14x
b)
16x4  + x2 + 14x
c)
11x4  + x2 + 14x
d)
11x4  + 2x2 + 10x
7.
Add or Subtract to Simplify:
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)
a)
-8n2 - 8n + 3 
b)
-7n2 - 8n + 3 
c)
-6n2 - 8n + 3
d)
-7n2 - 4n + 3
8.
Add or Subtract to Simplify:
(5x + x2 - 4) - (4x - x2 + 6)
a)
2x2 + x + 2 
b)
x + 2
c)
2x2 + x - 10 
d)
x - 10 
9.
Add or Subtract to Simplify:
(x5 + x3) - (6x - x3 + 6x5)
a)
-5x5 + 2x3 - 6x
b)
7x5 - 6x
c)
-5x3 + 2x2 - 6x
d)
-5x5 - 6x
10.
Simplify each expression.
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)
a)
-8n2 - 8n + 3 
b)
-7n2 - 8n + 3 
c)
-6n2 - 8n + 3
d)
-7n2 - 4n + 3
11.

 4z4⋅6z−64z^4\cdot6z^{-6} 

a)

 24z2\frac{24}{z^2} 

b)

 24z−2424z^{-24} 

c)

 10z2\frac{10}{z^2} 

d)

 10z−2410z^{-24} 

12.

 a65a^{\frac{6}{5}} 

a)

 a65\sqrt[5]{a^6} 

b)

 a56\sqrt[6]{a^5} 

c)

 a1a^1 

13.

 −5xyz0-5xyz^0 

a)

0

b)

-5xy0

c)

-5xy

d)

-5xyz

14.

 (−5024xyz)0\left(-5024xyz\right)^0 

a)

-5024xyz

b)

0

c)

1

d)

-5024

15.

A circle has a radius of  5x8y3cm5x^8y^3cm. The area of a circle can be found using  A=πr2A=\pi r^2  . What is the area of the circle?

a)

 25x16y625x^{16}y^6 

b)

 10x16y610x^{16}y^6 

c)

 10x10y510x^{10}y^5 

d)

 25x10y525x^{10}y^5 

16.

2−2m−3n0\frac{2^{-2}m^{-3}}{n^0}  

a)

14m3\frac{1}{4m^3}  

b)

4m34m^3  

c)

4m3\frac{4}{m^3}  

17.

 4x52x2\frac{4x^5}{2x^2} 

a)

 2x32x^3 

b)

 12x3\frac{1}{2x^3} 

c)

 8x78x^7 

d)

 8x38x^3 

18.

 (y3z)(y2z3)\left(y^3z\right)\left(y^2z^3\right) 

a)

 y5z4y^5z^4 

b)

 y6z3y^6z^3 

c)

 y6z4y^6z^4 

19.

 (x5z)3\left(x^5z\right)^3 

a)

 x15z3x^{15}z^3 

b)

 x8z4x^8z^4 

c)

 x15z4x^{15}z^4 

d)

 x8z3x^8z^3 

20.

 (2x4)3\left(2x^4\right)^3 

a)

 8x128x^{12} 

b)

 6x126x^{12} 

c)

 6x76x^7 

d)

 8x78x^7 

21.
a)
5p2 - 16p
b)
5p + 4
c)
5p - 4
d)
5p + 4p
22.

Divide:


(4x2 - 24x + 35) / (2x - 5)

a)

2x-7

b)

2x+12

c)

2x-12

d)

2x+7

23.

Q. Find the quotient when

(21x2 - 52x + 32) is divided by (7x - 8).

a)

3x+4

b)

3x-4

c)

3x+3

d)

3x+2

24.

Q. The area of a rectangular pool table is: x2 + 14x +40.

The length is x + 4. What is the width?

a)

x+8

b)

x+10

c)

x+14

d)

x+4

25.

Q. Divide:

(24x + 4) / (6x+1)

a)

4

b)

4x+0

c)

4x

d)

4 + 4/6x+1

26.

  (x+3)(x+5)\ \left(x+3\right)\left(x+5\right)  

a)

 x2+8x+15x^2+8x+15  

b)

 x2+3x +5x +15x^2+3x\ +5x\ +15  

c)

 x2+15x +15x^2+15x\ +15  

27.

 (2x+9)(x−2)\left(2x+9\right)\left(x-2\right)  

a)

 2x2+13x−182x^2+13x-18  

b)

 2x2+5x+182x^2+5x+18  

c)

 2x2+5x−182x^2+5x-18  

28.

 (4a−7)(3a−2)\left(4a-7\right)\left(3a-2\right)  

a)

 12a2−13a+1412a^2-13a+14  

b)

 12a2−29a+1412a^2-29a+14  

c)

 12a2+29a−1412a^2+29a-14  

29.

 (n+2)(n2+5n−3)\left(n+2\right)\left(n^2+5n-3\right)  

a)

 n3+7n2+13n−6n^3+7n^2+13n-6  

b)

 n3+7n2+−7n+6n^3+7n^2+-7n+6  

c)

 n3+7n2+7n−6n^3+7n^2+7n-6  

30.

 (3a−8b)(2a−b)\left(3a-8b\right)\left(2a-b\right)  

a)

 6a2−8b2+19ab6a^2-8b^2+19ab  

b)

 6a2+8b2−19ab6a^2+8b^2-19ab  

c)

 6a2+8b2−13ab6a^2+8b^2-13ab  

31.

 (5a+3b)(a−4b)\left(5a+3b\right)\left(a-4b\right)  

a)

 5a2−12b2−17ab5a^2-12b^2-17ab  

b)

 5a2+12b2+17ab5a^2+12b^2+17ab  

c)

 5a2−12b2−23ab5a^2-12b^2-23ab  

32.

 (n+8)(6n2−n−4)\left(n+8\right)\left(6n^2-n-4\right)  

a)

 6n3+49n2−12n−326n^3+49n^2-12n-32  

b)

 6n3+47n2+12n+326n^3+47n^2+12n+32  

c)

 6n3+47n2−12n−326n^3+47n^2-12n-32  

33.

 (2a+4)(a+1)\left(2a+4\right)\left(a+1\right)  

a)

 2a2+8a+42a^2+8a+4  

b)

 2a2+6a+42a^2+6a+4  

c)

 2a2+6a+52a^2+6a+5  

34.

 (3n−4)(4n2+2n+3)\left(3n-4\right)\left(4n^2+2n+3\right)  

a)

 12n3−9n2−2n−1212n^3-9n^2-2n-12  

b)

 12n3−10n2+n−1212n^3-10n^2+n-12  

c)

 12n3+102−17n −1212n^3+10^2-17n\ -12  

35.

 (n+8)(n−8)\left(n+8\right)\left(n-8\right)  

a)

 n2+16n^2+16  

b)

 n2−64n^2-64  

c)

 2n2−642n^2-64  

36.
Multiply.
(x + 2)(x + 3)
a)
x2 + 5x + 6
b)
x2 + x + 6
c)
x2 + 5x + 5
d)
x2 + 6x + 6
37.
Multiply.
(x + 2)(x + 3)
a)
x2 + 5x + 6
b)
x2 + x + 6
c)
x2 + 5x + 5
d)
x2 + 6x + 6
38.
Solve for y:
y + 2 = 3x
a)
y = 2x + 3
b)
y= 3x +2
c)
y= 3x -2
d)
y= 6x
39.
Solve for y:
2x + 2y = 6
a)
y = - x + 3
b)
y = x + 3
c)
y = 2x +6
d)
y = - 2x + 6
40.
4x + 3y = 9
a)
y = -3/4x + 3
b)
y = -4x + 9
c)
y = -4/3x + 3
d)
3y = -4x + 9
41.
10x - 2y = 6
a)
y = 5x - 3
b)
y = -5x + 3
c)
-2y = -10x + 6
d)
y = 1/5x - 1/3
42.
5x - y = 16
a)
-y = 5x + 16
b)
y = 5x + 16
c)
x = 5y - 16
d)
y = 5x - 16
43.
What is the simple definition of slope? 
a)
line
b)
run/rise
c)
undefinied
d)
rise/run
44.
What is the y-intercept in the equation y= -2x + 5
a)
-2
b)
3
c)
5
d)
Cannot be Determined
45.
Find the slope of the line.
a)
1/2
b)
-1/2
c)
2
d)
-2
46.
What is the y-intercept of this graph?
a)
(0,1)
b)
(0,-2)
c)
(0,0)
d)
(0,3)
47.
What is the slope in the equation y=2x + 3?
a)
2
b)
3
c)
5
d)
Cannot be Determined 
48.
What is the y-intercept in the equation y= -2x + 5
a)
-2
b)
3
c)
5
d)
Cannot be Determined
49.
What type of slope does the graph have?
a)
Zero
b)
Undefined
c)
Negative
d)
Positive
50.

Which of the following equations is equivalent to 9x−7y=−79x-7y=-7 

a)

 y=−97x−7y=-\frac{9}{7}x-7  

b)

 y=97x+1y=\frac{9}{7}x+1  

c)

 y=79x+1y=\frac{7}{9}x+1  

d)

 y=−97x+1y=-\frac{9}{7}x+1