Aim: Solving Rational Equations Course: Adv. Alg. & Trig. Aim: How do we solve rational equations? Do Now: Simplify:

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Objective SWBAT simplify rational expressions, add, subtract, multiply, and divide rational expressions and solve rational equations.

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Presentation transcript:

Aim: Solving Rational Equations Course: Adv. Alg. & Trig. Aim: How do we solve rational equations? Do Now: Simplify:

Aim: Solving Rational Equations Course: Adv. Alg. & Trig. Rational Equations Solve and Check: 1. Find the LCD 6x6x 2. Multiply both sides of equation by LCD 3. Use the Distributive property: 6 4. Simplify and solve: 3x3x 2x2x

Aim: Solving Rational Equations Course: Adv. Alg. & Trig. Model Problem 1 Solve and Check: 1. Find the LCDx Multiply both sides of equation by LCD 3.Use the Distributive property: 4. Simplify and solve:

Aim: Solving Rational Equations Course: Adv. Alg. & Trig. 4.Simplify and solve: (con’t) Model Problem 1 (con’t) Check: ?!? There is no possible solution to this equation

Aim: Solving Rational Equations Course: Adv. Alg. & Trig. Literal Rational Equations Solve for x and Check: 1. Find the LCD 2a2a 2. Multiply both sides of equation by LCD 3. Use the Distributive property: 4. Simplify and solve:

Aim: Solving Rational Equations Course: Adv. Alg. & Trig. Verbal Rational Equations The sum of a number and its reciprocal is 5/2. Find the number. x = the number 1/x = its reciprocal LCD = 2x

Aim: Solving Rational Equations Course: Adv. Alg. & Trig. Verbal Rational Equations (con’t) 2x – 1 = 0x – 2 = 0 2x = 1 x = 2 Check:

Aim: Solving Rational Equations Course: Adv. Alg. & Trig. Model Problems 6) Let represent a fraction that is equivalent to 3/5. If 4 is subtracted from the numerator and 4 is subtracted from the denominator, the new fraction equals ½. Find the original.

Aim: Solving Rational Equations Course: Adv. Alg. & Trig. Model Problems

Aim: Solving Rational Equations Course: Adv. Alg. & Trig. Model Problems

Aim: Solving Rational Equations Course: Adv. Alg. & Trig. Model Problems

Aim: Solving Rational Equations Course: Adv. Alg. & Trig. Model Problems

Aim: Solving Rational Equations Course: Adv. Alg. & Trig. Model Problems

Aim: Solving Rational Equations Course: Adv. Alg. & Trig. Model Problems 6) Let represent a fraction that is equivalent to 3/5. If 4 is subtracted from the numerator and 4 is subtracted from the denominator, the new fraction equals ½. Find the original.