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Pre-Algebra: Adding and Subtracting Polynomials Exercises, Lecture notes of Algebra

Palawan State University (PSU)Algebra

A series of exercises on adding and subtracting polynomials from the kuta software infinite pre-algebra textbook. Students are required to simplify each expression by performing the given arithmetic operations.

Typology: Lecture notes

2021/2022

Uploaded on 08/01/2022

hal_s95
hal_s95 🇵🇭

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Kuta Software - Infinite Pre-Algebra Name___________________________________
Period____Date________________
Adding and Subtracting Polynomials
Simplify each expression.
1)
(
8
a
− 4
a
2
) −
(
7
a
3
−
a
)2)
(
6
a
− 3
a
2
) +
(
2
a
2
− 3
a
)
3)
(
x
2
−
x
) +
(
8
x
− 2
x
2
)4)
(
2
a
2
+ 4
a
3
) −
(
3
a
3
+ 8
)
5)
(
5
x
2
+ 4
) −
(
5
+ 5
x
3
)6)
(
8
n
2
− 2
n
3
) +
(
6
n
3
− 8
n
2
)
7)
(
8
b
3
+ 8
) −
(
6
− 7
b
3
)8)
(
4
x
3
− 6
) +
(
5
x
3
+ 3
)
9)
(
10
p
4
+ 11
) −
(
11
p
4
+ 13
+ 16
p
2
)10)
(
20
v
2
− 9
v
3
) −
(
7
v
3
− 10
v
4
− 14
v
2
)
11)
(
10
x
4
− 16
) +
(
12
− 6
x
3
+ 11
x
4
)12)
(
14
+ 12
a
3
) +
(
17
a
4
+ 15
− 5
a
3
)
13)
(
17
v
2
− 8
) +
(
17
v
2
+ 10
+
v
3
)14)
(
20
n
+ 11
n
4
) −
(
15
n
+ 16
n
2
− 17
n
4
)
15)
(
10
k
4
+ 17
k
3
) −
(
14
k
3
− 2
k
+ 9
k
4
)16)
(
9
r
+ 6
r
4
) +
(
12
r
− 2
r
4
− 17
)
17)
(
11
n
+ 7
n
5
+ 5
) −
(
7
n
− 11
n
5
+ 6
n
3
) −
(
4
+ 4
n
5
)
18)
(
9
a
4
+ 1
− 11
a
2
) −
(
a
+ 8
a
2
+ 2
) −
(
6
a
2
− 9
)
19)
(
6
k
5
− 6
k
3
− 6
k
) +
(
4
k
+ 11
k
4
− 11
) +
(
k
2
− 12
)
20)
(
12
x
4
+ 3
x
5
+ 3
x
2
) −
(
6
x
− 5
x
2
+ 4
) +
(
5
x
5
+ 7
x
)
21)
(
10
v
2
− 1
−
v
3
) +
(
10
v
5
− 5
v
3
+ 5
) −
(
4
v
3
− 11
v
5
)
22)
(
7
x
2
− 4
x
4
− 12
) +
(
4
x
5
− 7
x
4
− 5
x
2
) +
(
4
x
2
− 3
x
4
)
23)
(
10
+ 9
v
5
− 8
v
2
) +
(
4
v
4
+ 3
v
5
+ 10
) −
(
6
− 7
v
4
)
24)
(
8
r
− 7
r
5
+ 6
r
3
) +
(
10
r
5
+
r
+ 4
r
3
) +
(
2
r
+ 12
r
5
)
pf2

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Download Pre-Algebra: Adding and Subtracting Polynomials Exercises and more Lecture notes Algebra in PDF only on Docsity!

Kuta Software - Infinite Pre-Algebra Name___________________________________

Adding and Subtracting Polynomials Date________________Period____

Simplify each expression.

  1. ( 8 a − 4 a^2 ) − ( 7 a^3 − a ) 2) ( 6 a − 3 a^2 ) + ( 2 a^2 − 3 a )

  2. ( x^2 − x ) + ( 8 x − 2 x^2 ) 4) ( 2 a^2 + 4 a^3 ) − ( 3 a^3 + 8)

  3. ( 5 x^2 + 4) − ( 5 + 5 x^3 ) 6) ( 8 n^2 − 2 n^3 ) + ( 6 n^3 − 8 n^2 )

  4. ( 8 b^3 + 8) − ( 6 − 7 b^3 ) 8) ( 4 x^3 − 6) + ( 5 x^3 + 3)

  5. ( 10 p^4 + 11) − ( 11 p^4 + 13 + 16 p^2 ) 10) ( 20 v^2 − 9 v^3 ) − ( 7 v^3 − 10 v^4 − 14 v^2 )

  6. ( 10 x^4 − 16) + ( 12 − 6 x^3 + 11 x^4 ) 12) ( 14 + 12 a^3 ) + ( 17 a^4 + 15 − 5 a^3 )

  7. ( 17 v^2 − 8) + ( 17 v^2 + 10 + v^3 ) 14) ( 20 n + 11 n^4 ) − ( 15 n + 16 n^2 − 17 n^4 )

  8. ( 10 k^4 + 17 k^3 ) − ( 14 k^3 − 2 k + 9 k^4 ) 16) ( 9 r + 6 r^4 ) + ( 12 r − 2 r^4 − 17)

  9. ( 11 n + 7 n^5 + 5) − ( 7 n − 11 n^5 + 6 n^3 ) − ( 4 + 4 n^5 )

  10. ( 9 a^4 + 1 − 11 a^2 ) − ( a + 8 a^2 + 2) − ( 6 a^2 − 9)

  11. ( 6 k^5 − 6 k^3 − 6 k ) + ( 4 k + 11 k^4 − 11) + ( k^2 − 12)

  12. ( 12 x^4 + 3 x^5 + 3 x^2 ) − ( 6 x − 5 x^2 + 4) + ( 5 x^5 + 7 x )

  13. ( 10 v^2 − 1 − v^3 ) + ( 10 v^5 − 5 v^3 + 5) − ( 4 v^3 − 11 v^5 )

  14. ( 7 x^2 − 4 x^4 − 12) + ( 4 x^5 − 7 x^4 − 5 x^2 ) + ( 4 x^2 − 3 x^4 )

  15. ( 10 + 9 v^5 − 8 v^2 ) + ( 4 v^4 + 3 v^5 + 10) − ( 6 − 7 v^4 )

  16. ( 8 r − 7 r^5 + 6 r^3 ) + ( 10 r^5 + r + 4 r^3 ) + ( 2 r + 12 r^5 )

Kuta Software - Infinite Pre-Algebra Name___________________________________

Adding and Subtracting Polynomials Date________________Period____

Simplify each expression.

  1. ( 8 a − 4 a^2 ) − ( 7 a^3 − a ) −7 a^3 − 4 a^2 + 9 a

  2. ( 6 a − 3 a^2 ) + ( 2 a^2 − 3 a ) − a^2 + 3 a

  3. ( x^2 − x ) + ( 8 x − 2 x^2 ) − x^2 + 7 x

  4. ( 2 a^2 + 4 a^3 ) − ( 3 a^3 + 8) a^3 + 2 a^2 − 8

  5. ( 5 x^2 + 4) − ( 5 + 5 x^3 ) −5 x^3 + 5 x^2 − 1

  6. ( 8 n^2 − 2 n^3 ) + ( 6 n^3 − 8 n^2 ) 4 n^3

  7. ( 8 b^3 + 8) − ( 6 − 7 b^3 ) 15 b^3 + 2

  8. ( 4 x^3 − 6) + ( 5 x^3 + 3) 9 x^3 − 3

  9. ( 10 p^4 + 11) − ( 11 p^4 + 13 + 16 p^2 ) − p^4 − 16 p^2 − 2

  10. ( 20 v^2 − 9 v^3 ) − ( 7 v^3 − 10 v^4 − 14 v^2 ) 10 v^4 − 16 v^3 + 34 v^2

  11. ( 10 x^4 − 16) + ( 12 − 6 x^3 + 11 x^4 ) 21 x^4 − 6 x^3 − 4

  12. ( 14 + 12 a^3 ) + ( 17 a^4 + 15 − 5 a^3 ) 17 a^4 + 7 a^3 + 29

  13. ( 17 v^2 − 8) + ( 17 v^2 + 10 + v^3 ) v^3 + 34 v^2 + 2

  14. ( 20 n + 11 n^4 ) − ( 15 n + 16 n^2 − 17 n^4 ) 28 n^4 − 16 n^2 + 5 n

  15. ( 10 k^4 + 17 k^3 ) − ( 14 k^3 − 2 k + 9 k^4 ) k^4 + 3 k^3 + 2 k

  16. ( 9 r + 6 r^4 ) + ( 12 r − 2 r^4 − 17) 4 r^4 + 21 r − 17

  17. ( 11 n + 7 n^5 + 5) − ( 7 n − 11 n^5 + 6 n^3 ) − ( 4 + 4 n^5 ) 14 n^5 − 6 n^3 + 4 n + 1

  18. ( 9 a^4 + 1 − 11 a^2 ) − ( a + 8 a^2 + 2) − ( 6 a^2 − 9) 9 a^4 − 25 a^2 − a + 8

  19. ( 6 k^5 − 6 k^3 − 6 k ) + ( 4 k + 11 k^4 − 11) + ( k^2 − 12) 6 k^5 + 11 k^4 − 6 k^3 + k^2 − 2 k − 23

  20. ( 12 x^4 + 3 x^5 + 3 x^2 ) − ( 6 x − 5 x^2 + 4) + ( 5 x^5 + 7 x ) 8 x^5 + 12 x^4 + 8 x^2 + x − 4

  21. ( 10 v^2 − 1 − v^3 ) + ( 10 v^5 − 5 v^3 + 5) − ( 4 v^3 − 11 v^5 ) 21 v^5 − 10 v^3 + 10 v^2 + 4

  22. ( 7 x^2 − 4 x^4 − 12) + ( 4 x^5 − 7 x^4 − 5 x^2 ) + ( 4 x^2 − 3 x^4 ) 4 x^5 − 14 x^4 + 6 x^2 − 12

  23. ( 10 + 9 v^5 − 8 v^2 ) + ( 4 v^4 + 3 v^5 + 10) − ( 6 − 7 v^4 ) 12 v^5 + 11 v^4 − 8 v^2 + 14

  24. ( 8 r − 7 r^5 + 6 r^3 ) + ( 10 r^5 + r + 4 r^3 ) + ( 2 r + 12 r^5 ) 15 r^5 + 10 r^3 + 11 r