Radical Equations Worksheet. =8 ( x 2(8)2 =64 64=8 8=8 Web a radical equation is any equation that contains one or more radicals with a variable in the radicand.
Web worksheet how to solve equations with radical expressions checking your answer on is required because solutions may be extraneous. 1) 110 − n = n {10} 2) p = 2 − p {1} 3) 30 − x = x {5} 4) x = 8x {0, 8} 5) x = 42 − x {6} 6) 12 − r = r {3} 7) 4n = n {0, 4} 8) 5v = v {0, 5} 9) r = 10 r {0, 10} 10) m = 56 − m {7} 11) b = −4 + 4b {2} 12) r = 8r {0, 8} Solve an equation with a single square root using the squaring property of equality. The solution is x=49 check: Steps 1 and eliminat 2 if necessary. √x + 2 − √x = 1. Remember to check for extraneous solutions. Students will practice solving radical equations. Any extraneous solutions from the final answer. This 25 quesion worksheet includes challenge problems and asks students to perform error analysis on this topic.
Web radical equations are equations contain radical expressions. Web radical equations are equations contain radical expressions. √x + 2 − √x = 1. Solve an equation with a single square root using the squaring property of equality. 1) x = 10 {100} 2) 10 = m 10 {1000} 3) v − 4 = 3 {13} 4) 6 = v − 2 {38} 5) n = 9 {81} 6) 5 = x + 3 {22} 7) 2 = 4b {1} 8) n + 9 = 1 {−8} 9) −8 + 5a − 5 = −3 {6} 10) 10 9x = 60 {4} 11) 1 = x − 5 {6} 12) −10 v − 10 = −60 Extraneous solutions of radical equations. Consider the example and try to come up with the solution. 3√4x2 + 7 − 2 = 0. 1) 110 − n = n {10} 2) p = 2 − p {1} 3) 30 − x = x {5} 4) x = 8x {0, 8} 5) x = 42 − x {6} 6) 12 − r = r {3} 7) 4n = n {0, 4} 8) 5v = v {0, 5} 9) r = 10 r {0, 10} 10) m = 56 − m {7} 11) b = −4 + 4b {2} 12) r = 8r {0, 8} Raise both sides of the equation to the “nth” power. Steps 1 and eliminat 2 if necessary.
