Download Infinite Algebra 2 - Solving Radical Equations

Algebra 2/PC
Name___________________________________ ID: 1
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Solving Radical Equations
Date________________ Period____
Solve each equation. Remember to check for extraneous solutions.
1)
3)
r
8
= 2r - 105
4)
x - 10 = 9
5) -n +
2) k = -1 +
3n + 6 = -4
1 - a = -7 - 2a
6) 2 r + 2 = 2
7)
-8 - 2 p = -3 - p
8)
9)
2 x + 6 = -3 + -3 - 4 x
10) x =
11)
7 - x = 2x - 5
13) -6 = -6 +
-9 - k
2k + 5
6p - 3 = 3
4x
12) -8 = - x +
14) 4 =
46 - 7 x
6 - 2x
15) 9 9 - 8m = 63
16) a - 1 =
17)
6r - 38 = r - 5
18) -2 -
19)
6x + 1 = 7x
20) -10 14 x - 3 = -90
21) x =
23)
22)
20 - x
54 - 5v - v = -8
25) a - 2 =
2a - 2
2v - 7 = 3v + 1
-1 - 2v = v
24) 6 =
p-5 +4
22 - a
Solve each equation.
26) 343 = (26 - n)
3
2
1
2
27) 16 = (9 x) + 7
Worksheet by Kuta Software LLC
-1-
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3
2
28) 509 = (n + 24) - 3
3
2
3
2
29) 4 + 2 x = 690
1
2
30) (2a) - 1 = 7
31) (2a + 3) = 5
32) 512 = (3n + 13)
3
2
3
2
1
3
33) (125n) + 10 = 15
35) -6 = -2(b - 8)
34) 35 = b + 8
1
2
36) -1 + (n + 26) = 2
1
2
3
2
37) (3 - v) = 125
39) (3k + 123)
38) 8 + n = 12
1
2
40) 10 + 4 x = 42
42) 8 = (2n + 28)
1
2
1
2
44) -4 p + 6 = -22
1
2
41)
()
n
2
-
1
2
=
1
6
5
3
= 243
1
33 - 3
43)
=n +8
4
1
2
45) (1 - 5k) = 6
Worksheet by Kuta Software LLC
-2-
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Algebra 2/PC
Name___________________________________ ID: 1
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Solving Radical Equations
Date________________ Period____
Solve each equation. Remember to check for extraneous solutions.
1)
3)
r
= 2r - 105
2) k = -1 +
{2}
8
{56}
4)
x - 10 = 9
{91}
5) -n +
3n + 6 = -4
2k + 5
1 - a = -7 - 2a
{-8}
6) 2 r + 2 = 2
{10}
{-1}
7)
-8 - 2 p = -3 - p
{-5}
8)
9)
2 x + 6 = -3 + -3 - 4 x
{-3}
10) x = 4 x
{0 , 4}
11)
7 - x = 2x - 5
{4 }
12) -8 = - x + 46 - 7 x
No solution.
13) -6 = -6 +
-9 - k
6p - 3 = 3
{6}
14) 4 =
{-9}
6 - 2x
{-5}
15) 9 9 - 8m = 63
{-5}
16) a - 1 =
{1 , 3}
17)
6r - 38 = r - 5
{7 , 9}
18) -2 - 2v - 7 =
No solution.
19)
6x + 1 = 7x
{1 }
20) -10 14 x - 3 = -90
21) x =
{4 }
23)
-1 - 2v = v
No solution.
54 - 5v - v = -8
{10}
25) a - 2 =
3v + 1
{6}
22)
20 - x
2a - 2
24) 6 =
p-5 +4
{9}
22 - a
{6 }
Solve each equation.
26) 343 = (26 - n)
3
2
1
2
27) 16 = (9 x) + 7
{-23}
{9}
Worksheet by Kuta Software LLC
-1-
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3
2
28) 509 = (n + 24) - 3
3
2
29) 4 + 2 x = 690
{40}
{49}
3
2
1
2
30) (2a) - 1 = 7
31) (2a + 3) = 5
{2 }
{11}
32) 512 = (3n + 13)
3
2
1
3
33) (125n) + 10 = 15
{17}
{1}
3
2
35) -6 = -2(b - 8)
34) 35 = b + 8
{9 }
1
2
{17}
1
2
36) -1 + (n + 26) = 2
3
2
37) (3 - v) = 125
{-17}
{-22}
1
2
39) (3k + 123)
38) 8 + n = 12
{16}
-
1
2
=
1
6
{-29}
1
2
40) 10 + 4 x = 42
{64}
42) 8 = (2n + 28)
1
2
{18}
1
2
44) -4 p + 6 = -22
41)
()
n
5
3
2
{54}
= 243
1
33 - 3
43)
=n +8
4
{64}
1
2
45) (1 - 5k) = 6
{49}
{-7}
Worksheet by Kuta Software LLC
-2-
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