Equations, Rational Expressions, and Operations with Fractions

An assignment focusing on solving equations, working with rational expressions, and performing operations with fractions.

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Equations, Rational Expressions, and Operations with FractionsClass: Algebra 1 Part 2U4 MidReport Date: 02/26/2013PrintTest Questions1.Solve the equation. Identify any extraneous solutions.A.8 is a solution to the original equation. Thevalue5 is an extraneous solution.B.5 and 8 are bothextraneous solutions.C.5 is a solution to the original equation. Thevalue8 is an extraneous solution.D.5 and8 are solutions.PointsPossible:0.502.Find the value ofxto the nearest tenth.A.x = 5.6B.x = 6.4C.x =6D.x = 8.8PointsPossible:0.503.Simplify the rational expression.

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A.B.C.D.PointsPossible:0.504.Multiply.A.B.C.D.PointsPossible:0.505.Find the reciprocal of the expression.A.B.C.D.PointsPossible:0.506.Divide.

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A.B.C.D.PointsPossible:0.507.Simplify the expression.A.B.C.D.PointsPossible:0.508.Useto find the value of sinB.

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A.B.C.D.PointsPossible:0.509.Simplify the rationalexpression.A.B.C.D.PointsPossible:0.5010.Divide.A.B.C.D.PointsPossible:0.5011.Solve the equation. Check your solution.

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A.3B.5C.5D.PointsPossible:0.5012.Find the value ofxto the nearest tenth.A.x = 9B.x = 8.6C.x = 5.7D.x = 26.3PointsPossible:0.5013.A ranger spots a forest fire while on a 60-meter observation tower. The angle ofdepression from the tower to the fire is 11°. Tothe nearest meter, how far is the firefrom the base of the tower?A.314 metersB.12 metersC.309 metersD.0 metersPointsPossible:0.5014.Simplify the rationalexpression.

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A.B.C.D.PointsPossible:0.5015.Multiply.A.B.C.D.PointsPossible:0.5016.Simplify the radical expression.A.B.C.D.PointsPossible:0.5017.Simplify the radical expression by rationalizing thedenominator.

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A.B.C.D.PointsPossible:0.5018.Simplify the expression.A.B.C.D.PointsPossible:0.5019.Simplify the expression.A.B.C.D.PointsPossible:0.5020.Useto find the value of sinA.

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A.B.C.D.PointsPossible:0.5021.A ranger spots a forest fire while on a 40-meter observation tower. The angle ofdepression from the tower to the fire is 14°. To the nearest meter, how far is the firefrom thebase of the tower?A.165 metersB.10 metersC.6 metersD.160 metersPointsPossible:0.5022.Simplify the rational expression.A.B.C.

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D.PointsPossible:0.5023.Simplify the radical expression.A.B.C.D.PointsPossible:0.5024.Simplify the expression.A.B.C.D.PointsPossible:0.5025.Solve the equation. Identify any extraneous solutions.A.0 and 6 are solutions of the original equation.B.6 is a solution of the original equation. 0 isan extraneous solution.C.6 is a solution of the original equation. 0 is anextraneous solution.D.0 is a solution of the original equation. 6 is anextraneous solution.PointsPossible:0.5026.Simplify the rational expression.A.

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B.C.D.PointsPossible:0.5027.Multiply.A.B.C.D.PointsPossible:0.5028.Multiply.A.B.C.D.PointsPossible:0.5029.Divide.
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