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Worksheet by Kuta Software LLC
432
Solving Radical Equations
Name___________________________________
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-1-
Solve each equation. Remember to check for extraneous solutions.
1) x - 6 = 5x - 34 2) -17 - 2x = 3x + 33
3) 2n + 2 = 1 + 2n - 1 4) v - 4 = 29 - 2v
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Worksheet by Kuta Software LLC
-2-
5) -63 + 16b = b 6) -4 - 3x = 4 - x
7) a + 1 = 25 - 3a 8) n = -70 + 17n
9) 2 - 2x = 1 + 2 - x 10) n - 1 = 2n + 6
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Worksheet by Kuta Software LLC
-3-
11) 2x + 6 - 4 - 4x = -4 12) 2b - 3 = 9 - 2b
13) 10 - 2n = 6 - n 14) -4 - m + 2 = 4 - m
15) b = 90 - b 16) n - 7 = 6n - 51
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Worksheet by Kuta Software LLC
-4-
17) 1 = 3 - k - 2k - 4 18) 2 - 2b = -1 + 2b - 1
19) x + 7 = 9 20) 3 + 7 - x = 2x + 4
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Worksheet by Kuta Software LLC
432
Solving Radical Equations
Name___________________________________
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-1-
Solve each equation. Remember to check for extraneous solutions.
1) x - 6 = 5x - 34
{
10, 7
}
2) -17 - 2x = 3x + 33
{
-10
}
3) 2n + 2 = 1 + 2n - 1
{
1
}
4) v - 4 = 29 - 2v
{
11
}
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Worksheet by Kuta Software LLC
-2-
5) -63 + 16b = b
{
7, 9
}
6) -4 - 3x = 4 - x
{
-4
}
7) a + 1 = 25 - 3a
{
3
}
8) n = -70 + 17n
{
7, 10
}
9) 2 - 2x = 1 + 2 - x
{
-7
}
10) n - 1 = 2n + 6
{
5
}
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Worksheet by Kuta Software LLC
-3-
11) 2x + 6 - 4 - 4x = -4
{
-3
}
12) 2b - 3 = 9 - 2b
{
3
}
13) 10 - 2n = 6 - n
{
4
}
14) -4 - m + 2 = 4 - m
{
-5
}
15) b = 90 - b
{
9
}
16) n - 7 = 6n - 51
{
10
}
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Worksheet by Kuta Software LLC
-4-
17) 1 = 3 - k - 2k - 4
{
2
}
18) 2 - 2b = -1 + 2b - 1
{
1
}
19) x + 7 = 9
{
74
}
20) 3 + 7 - x = 2x + 4
{
6
}
