RADICAL EQUATIONS



Algebra 3 Assignment Sheet

(1) Assignment 1 ( Radical Equations

(2) Assignment 2 ( Rational Equations

(3) Assignment 3 ( Equations

(4) Review Worksheet

(5) TEST

RADICAL EQUATIONS

Don’t forget that radicals have restrictions!! _________________________________

METHOD:

• Isolate the radical

• Square each side.

• Check your answers

1) [pic][pic] + 2 = x

2) [pic]

3) [pic]

4) [pic]

Additional Practice

Solve for x please.

(1) [pic]

(2) [pic]

(3) [pic]

(4) [pic]

(5) [pic]

(6) [pic]

Answers

(1) 4

(2) 1 [pic]

(3) 0 , [pic]

(4) 3 [pic]

(5) (1 , 3

(6) (1 , 1 , [pic]

Algebra 3 Assignment #1

Solve for x please.

(1) [pic]

(2) [pic]

(3) [pic]

(4) [pic]

(5) [pic]

(6) [pic]

(7) [pic]

(8) [pic]

Assignment #1 Answers

(1) 1 [pic]

(2) [pic]

(3) 2 [pic]

(4) 3 [pic]

(5) 0 [pic]

(6) -1, 3

(7) 1, -2, 2

(8) 2, 3, 4

3.4 FRACTIONAL EQUATIONS

• Check your answer

• Restrictions?

Examples

1) [pic]

2) [pic]

3) [pic] = 0

(4) [pic]

(5) [pic]

(6) [pic]

(7) [pic]

Algebra 3 Assignment #2

Solve each of the following for x please.

(1) [pic]

(2) [pic]

(3) [pic]

(4) [pic]

(5) [pic]

(6) [pic]

(7) [pic]

(8) [pic]

Assignment #2 Answers

(1) [pic]

(2) 2 , [pic]

(3) [pic]

(4) [pic]

(5) –1

(6) [pic]

(7) [pic]

(8) [pic]

Algebra 3 Review Worksheet

Solve for x.

(1) [pic] (2) [pic]

(3) [pic] (4) [pic]

(5) [pic] (6) [pic]

(7) [pic] (8) [pic]

(9) [pic] (10) [pic]

(11) [pic] (12) [pic]

Answers

(1) 4 (2) 6

(3) 5 , (1 (4) [pic]

(5) (1 , 2 (6) [pic] , 2

(7) [pic] , 5 (8) [pic]

(9) [pic] (10) [pic]

(11) [pic] (12) 1 , 8

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