HAWKES LEARNING SYSTEMS math courseware specialists Copyright © 2011 Hawkes Learning Systems. All rights reserved. Hawkes Learning Systems: Developmental.

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HAWKES LEARNING SYSTEMS math courseware specialists Copyright © 2011 Hawkes Learning Systems. All rights reserved. Hawkes Learning Systems: Developmental Mathematics Section 13.4: Solving Equations with Rational Expressions

HAWKES LEARNING SYSTEMS math courseware specialists Copyright © 2011 Hawkes Learning Systems. All rights reserved. Equations with Rational Expressions To Solve an Equation with Rational Expressions 1.Find the LCD of the fractions. 2.Multiply both sides of the equation by this LCD and simplify to remove all fractions. 3.Solve the resulting equation. (This equation will have only polynomials on both sides.) 4.Check each solution in the original equation. (Remember that no denominator can be 0 and any solution that gives a 0 denominator is to be discarded.)

HAWKES LEARNING SYSTEMS math courseware specialists Copyright © 2011 Hawkes Learning Systems. All rights reserved. Solving Equations with Rational Expressions State any restrictions on the variable, and then solve the equation.

HAWKES LEARNING SYSTEMS math courseware specialists Copyright © 2011 Hawkes Learning Systems. All rights reserved. Solving Equations with Rational Expressions

HAWKES LEARNING SYSTEMS math courseware specialists Copyright © 2011 Hawkes Learning Systems. All rights reserved. Solving Equations with Rational Expressions

HAWKES LEARNING SYSTEMS math courseware specialists Copyright © 2011 Hawkes Learning Systems. All rights reserved. Solving Equations with Rational Expressions

HAWKES LEARNING SYSTEMS math courseware specialists Copyright © 2011 Hawkes Learning Systems. All rights reserved. Solving Equations with Rational Expressions

HAWKES LEARNING SYSTEMS math courseware specialists Copyright © 2011 Hawkes Learning Systems. All rights reserved. Solving a Formula for a Specified Variable The formula is used to find the surface area (S) of a right circular cylinder, where r is the radius of the cylinder and h is the height of the cylinder. Solve the formula for h.

HAWKES LEARNING SYSTEMS math courseware specialists Copyright © 2011 Hawkes Learning Systems. All rights reserved. Similar Triangles In the figure shown,  ABC   PQR. Find the lengths of the sides AB and QR. Set up a proportion involving corresponding sides and solve for x.