Algebra 1
Name___________________________________ ID: 1
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Assignment
Date________________ Period____
Name each polynomial by degree and number of terms.
1) -7k 2 + 5
2) -6
3) 10n
4) -4n 3
Simplify each expression.
5) (7k 2 - 6k 3 - 4) + (k 3 - 3k 2 + 5)
6) (8x 3 + x + 5) - (4x - 8x 4 - 3x 3 )
Find each product.
7) 8r 2 (3r - 4)
8) (5x - 2)(4x - 6)
Worksheet by Kuta Software LLC
-1-
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Factor each completely.
9) p 2 - 2 p
10) 7x 2 - 10x
Solve each equation by factoring.
11) (a + 6)(a + 7) = 0
12) x 2 + 7x + 12 = 0
Simplify. Your answer should contain only positive exponents.
13) rr
15)
3
4a
3a
14) (3b
-3 -2
)
-4
-2
Worksheet by Kuta Software LLC
-2-
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Answers to Assignment (ID: 1)
1) quadratic binomial
5) -5k 3 + 4k 2 + 1
9) p( p - 2)
13) r 4
2) constant monomial
6) 8x 4 + 11x 3 - 3x + 5
10) x(7x - 10)
b6
14)
9
3) linear monomial
7) 24r 3 - 32r 2
11) {-6, -7}
4
15)
3a 2
4) cubic monomial
8) 20x 2 - 38x + 12
12) {-3, -4}
Worksheet by Kuta Software LLC
-3-
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Algebra 1
Name___________________________________ ID: 2
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Assignment
Date________________ Period____
Name each polynomial by degree and number of terms.
1) -7m 5 + 4m 3
2) -9m
3) 9
4) -5b 5 - 6b 3 + 5b 2
Simplify each expression.
5) (4x 4 - 4x 2 + 4x 3 ) - (8x 3 + x 2 + x 4 )
6) (6n 3 + 1 - 5n) - (n 4 - 7n 3 + 4n)
Find each product.
7) 7(6n - 8)
8) (6a - 6)(6a + 1)
Worksheet by Kuta Software LLC
-1-
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Factor each completely.
9) a 2 + 3a - 54
10) 5x 2 + 34x + 45
Solve each equation by factoring.
11) x(6x + 1) = 0
12) k 2 - 14k + 48 = 0
Simplify. Your answer should contain only positive exponents.
2
13) 4b × 2b
15)
x
-3
14) (3x)
3
-3
4x
2
Worksheet by Kuta Software LLC
-2-
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Answers to Assignment (ID: 2)
1) fifth degree binomial
4) fifth degree trinomial
7) 42n - 56
1
11) - , 0
6
1
15)
4x 5
{ }
2) linear monomial
3) constant monomial
5) 3x 4 - 4x 3 - 5x 2
6) -n 4 + 13n 3 - 9n + 1
8) 36a 2 - 30a - 6
9) (a - 6)(a + 9)
10) (5x + 9)( x + 5)
12) {6, 8}
8
14) 27x 3
13)
b
Worksheet by Kuta Software LLC
-3-
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Algebra 1
Name___________________________________ ID: 3
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Assignment
Date________________ Period____
Name each polynomial by degree and number of terms.
1) 10v 2 - 9v - 8
2) 10x 2 - 10
3) 4x 5 - 3x 2 - 10x - 10
4) 2a 6 + 6a 5
Simplify each expression.
5) (7n 4 + 3 + 7n) + (6n - 3n 2 + 3n 4 )
6) (4a 3 - 4a 4 + 6a 2 ) + (a 2 - 3 + 6a 4 )
Find each product.
7) 2k(4k + 6)
8) (5x - 6)(6x + 5)
Worksheet by Kuta Software LLC
-1-
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Factor each completely.
9) a 2 - 9a
10) 7x 2 + 44x + 12
Solve each equation by factoring.
11) (3k + 2)(k + 4) = 0
12) m 2 + 7m = 0
Simplify. Your answer should contain only positive exponents.
2
13) 4b × 2b
15)
n
14) (2x)
-3
-1
4n
4
Worksheet by Kuta Software LLC
-2-
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Answers to Assignment (ID: 3)
1) quadratic trinomial
2) quadratic binomial
3) fifth degree polynomial with four terms
4) sixth degree binomial
5) 10n 4 - 3n 2 + 13n + 3
6) 2a 4 + 4a 3 + 7a 2 - 3
7) 8k 2 + 12k
8) 30x 2 - 11x - 30
9) a(a - 9)
10) (7x + 2)( x + 6)
3
2
12) {-7, 0}
13) 8b
1
11) - , -4
14)
3
8x 3
1
15)
4n 5
{
}
Worksheet by Kuta Software LLC
-3-
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Algebra 1
Name___________________________________ ID: 4
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Assignment
Date________________ Period____
Name each polynomial by degree and number of terms.
1) -9x 3 - 6x 2 - 8x + 1
2) 1
3) 9x 3 - 10x 2 + 6x - 1
4) 4
Simplify each expression.
5) (3k 3 - 7k + k 4 ) - (5k - 3k 3 + 3k 4 )
6) (3m 2 + 2m 3 - 3m) + (7m 2 + 8m 3 + 2)
Find each product.
7) 7( p + 4)
8) (7x + 7)(6x - 8)
Worksheet by Kuta Software LLC
-1-
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Factor each completely.
9) k 2 - 2k - 24
10) 3 p 2 + 8 p
Solve each equation by factoring.
11) (m - 6)(m + 5) = 0
12) x 2 + 7x = 0
Simplify. Your answer should contain only positive exponents.
13) 4x
15)
x
-3
× 4x
0
14) (2x)
4
-1
x
2
Worksheet by Kuta Software LLC
-2-
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Answers to Assignment (ID: 4)
1)
3)
6)
9)
cubic polynomial with four terms
cubic polynomial with four terms
10m 3 + 10m 2 - 3m + 2
7) 7 p + 28
(k - 6)(k + 4)
10) p(3 p + 8)
16
14) 16x 4
13) 3
x
2) constant monomial
4) constant monomial
5) -2k 4 + 6k 3 - 12k
8) 42x 2 - 14x - 56
11) {6, -5}
12) {-7, 0}
1
15) 3
x
Worksheet by Kuta Software LLC
-3-
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