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Algebra 2
Name___________________________________ ID: 1
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Assignment
Date________________ Period____
Simplify each expression.
1
x-2
1) 2 ¸ 2
6 x x + 8 x - 20
n 2 + 16n + 64 6
2)
¸
8n 2 + 64n
8n
Solve each equation by factoring.
3) x 2 + 11 x = -30
4) r 2 = 4r
5) 2m 2 - 15m = -7
6) 6n 2 - 49 = 7n
Simplify each expression.
7)
4x 3
+
4 4y
9)
5x
x+5
3 + 2
5 x x - 3 x - 18
8)
v-3
3v
v - 2v - 24 5v
2
Solve each equation. Remember to check for extraneous solutions.
10)
3a - 15
a
-
1
1
a 2a
=
11)
6
x
=1+
12)
1 x + 4 x2 + 4x + 4
+ 2 =
5x
x
x2
13)
14)
1
1
b2
=
b2 - 1 b - 1 b2 - 1
15) n + 2 =
16)
x-1
6
=1- 2
x+5
x - 25
17)
18)
1
x+2
+
=x+3
2x + 3 2x + 3
1
4x
n 2 + 6n + 5 1
- =n-6
n
n
n 2 - 4n - 5
1
5n
5n
3b + 6
1
+
=1
2
b + 5b b + 5
Worksheet by Kuta Software LLC
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Algebra 2
Name___________________________________ ID: 1
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Assignment
Date________________ Period____
Simplify each expression.
n 2 + 16n + 64 6 n + 8
2)
¸
8n 2 + 64n
8n 6
1
x-2
x + 10
1) 2 ¸ 2
6 x x + 8 x - 20 6 x 2
Solve each equation by factoring.
3) x 2 + 11 x = -30
4) r 2 = 4r
{-6, -5}
{4 , 0}
5) 2m 2 - 15m = -7
6) 6n 2 - 49 = 7n
{ }
{ }
1
,7
2
7 7
,2 3
Simplify each expression.
4x 3
+
4 4y
4 xy + 3
4y
5x
x+5
9) 3 + 2
5 x x - 3 x - 18
x 3 - 3 x + 6 x 2 - 18
x 2 ( x - 6)( x + 3)
7)
8)
v-3
3v
v - 2v - 24 5v
11v + 57 - 3v 2
5(v - 6)(v + 4)
2
Solve each equation. Remember to check for extraneous solutions.
10)
12)
3a - 15
a
-
1
{}
1 11
a 2a 2
=
1 x + 4 x2 + 4x + 4
14
+ 2 =
2
5x
x
x
5
1
1
b2
=
b2 - 1 b - 1 b2 - 1
{0 }
x-1
6
16)
=1- 2
x+5
x - 25
{6 }
1
x+2
18)
+
=x+3
2x + 3 2x + 3
{-3, -1}
14)
11)
{ }
13)
6
x
=1+
n 2 + 6n + 5 1
1
- =n-6 n
n
3
15) n + 2 =
17)
{}
1 23
4x 4
{ }
{ }
n 2 - 4n - 5
1
1
-3, 5n
5n
2
3b + 6
1
+
=1
2
b + 5b b + 5
{2, -3}
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Worksheet by Kuta Software LLC