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Advanced Math
Name___________________________________
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Solving Radical Equations
Period____
Solve each equation. Remember to check for extraneous solutions.
1)
2x + 2 =
3)
-1 - 5x = 2
4x - 2
x
= -2
9
2) -6 +
4) 7 =
x
6
5) x =
56 - x
6) x =
-30 + 13x
7) x =
42 - x
8) x =
-60 + 16x
9)
-5x + 50 = x - 10
11) -x +
13) x = 5 +
2x + 31 = x
2x + 3 = 2
12) x = 5 +
22 - 6x
4x - 20
14) x - 4 =
4x - 20
5-x =5
15)
6x - 5 -
17)
4x - 4 = 1 +
19) -1 +
10) 2 +
-4 - 5x =
2x - 1
1 - 2x
16) -1 =
2 - 2x -
18)
3x + 10 = -1 -
20)
1 - 3x = -1 +
2-x
-3 - x
4 - 3x
Worksheet by Kuta Software LLC
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Advanced Math
Name___________________________________
©V o2a0o1B6v pKfu^tRaB cSyo\fDtOwLafrCea SLeLVCJ.n L MAHlPlQ OrdiOgUhutIs[ Mr^eFsYeBrNvleGd^.
Solving Radical Equations
Period____
Solve each equation. Remember to check for extraneous solutions.
1)
2x + 2 =
4x - 2
x
= -2
9
2) -6 +
{2}
{144}
3)
-1 - 5x = 2
x
6
4) 7 =
{-1}
{294}
5) x =
56 - x
6) x =
{7}
7) x =
{3, 10}
42 - x
8) x =
{6}
9)
-5x + 50 = x - 10
11) -x +
10) 2 +
12) x = 5 +
2x + 3 = 2
14) x - 4 =
4x - 20
5-x =5
16) -1 =
{5}
2 - 2x -
2-x
{1}
4x - 4 = 1 +
2x - 1
18)
{5}
{-4}
4x - 20
{6}
6x - 5 -
19) -1 +
22 - 6x
No solution.
{9, 5}
17)
2x + 31 = x
{9}
{-1}
13) x = 5 +
-60 + 16x
{6, 10}
{10}
15)
-30 + 13x
3x + 10 = -1 -
-3 - x
No solution.
-4 - 5x =
1 - 2x
20)
1 - 3x = -1 +
4 - 3x
{0}
Worksheet by Kuta Software LLC
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