Section 6 – Rational Equations

Slides:

Advertisements

Similar presentations

Section 6.1 Rational Expressions.

Advertisements

Rational Expressions To add or subtract rational expressions, find the least common denominator, rewrite all terms with the LCD as the new denominator,

9-6 Solving Rational Equations & inequalities

Table of Contents First, find the least common denominator (LCD) of all fractions present. Linear Equations With Fractions: Solving algebraically Example:

Solving Rational Equations A Rational Equation is an equation that contains one or more rational expressions. The following are rational equations:

Other Types of Equations

Section 8-7 Solving Rational Inequalities

10.6 Solving Rational Equations

( ) EXAMPLE 3 Standardized Test Practice SOLUTION 5 x = – 9 – 9

Complex Rational Expressions, Equations. Complex Rational Expression = fraction which will contain at least one rational expression in the numerator OR.

Rational Equations Section 8-6.

Holt McDougal Algebra 2 Solving Rational Equations and Inequalities Solving Rational Equations and Inequalities Holt Algebra 2Holt McDougal Algebra 2.

Math – Rational Equations 1. A rational equation is an equation that has one or more rational expressions in it. To solve, we start by multiplying.

Section 9-6 Solving Rational Equations and Inequalities Ryann Noe.

Section 6.4 Rational Equations

Solving Rational Equations

Solve Equations with Rational Coefficients. 1.2x = 36 Check your answer = x Check 1.2x = (30) = 36 ? 36 = 36 ? 120 = -0.24y

Rational Numbers & Equations Lesson 3-5. Rational Numbers & Equations When given an equation with a fraction… a)Solve by multiplying by the reciprocal.

Solving a System of Equations in Two Variables By Substitution Chapter 8.2.

Solving Equations Containing First, we will look at solving these problems algebraically. Here is an example that we will do together using two different.

Essential Question: What must you do to find the solutions of a rational equation?

EQUATIONS & INEQUALITIES

ANSWER is 25% of what number ANSWER 40% 4.What percent of 90 is 36? ANSWER d = 4 ANSWER x = Solve:

9-6 SOLVING RATIONAL EQUATIONS & INEQUALITIES Objectives: 1) The student will be able to solve rational equations. 2) The student will be able to solve.

10.6 Solving Rational Equations Rational Equation An equation containing one or more rational expressions.

Aim: How do we solve rational inequalities? Do Now: 2. Find the value of x for which the fraction is undefined 3. Solve for x: HW: p.73 # 4,6,8,10,14.

 Chapter 8 – Rational Expressions and Equations 8.6 – Solving Rational Equations and Inequalities.

9.6 Solving Rational Equations Algebra II w/trig.

Solving Inequalities Using Multiplication and Division Chapter 4 Section 3.

+ 9-6 Solving Rational Equations Objective: The student will be able to solve rational equations.

8.5 Solving Rational Equations. 1. Factor all denominators 2. Find the LCD 3.Multiply every term on both sides of the equation by the LCD to cancel out.

Chapter 6 Rational Expressions and Equations

Solving Graphically Ex 1: View using the following windows.

1. Add: 5 x2 – 1 + 2x x2 + 5x – 6 ANSWERS 2x2 +7x + 30

Essential Questions Solving Rational Equations and Inequalities

EQUATIONS & INEQUALITIES

( ) EXAMPLE 3 Standardized Test Practice SOLUTION 5 x = – 9 – 9

Find the least common multiple for each pair.

9.6 Solving Rational Equations

9.6 Solving Rational Equations

9.6 Solving Rational Equations

9.6 Solving Rational Equations

Equations with Algebraic Fractions

Solving Rational Equations and Radical Equations

Section 1.2 Linear Equations and Rational Equations

Section 2 – Solving Systems of Equations in Three Variables

Fractional Equations Chapter 7 Section 7.4.

Solving Multi-Step Inequalities

Find the least common multiple for each pair.

Rational Equations.

Lesson 4-6 Rational Equations and Partial Fractions

Essential Questions Solving Rational Equations and Inequalities

Section 1.2 Linear Equations and Rational Equations

Graphing Nonlinear Inequalities

Algebra 1 Section 13.6.

4.2: Solving Rational Equations

11-5 Solving Rational Equations

Rational Expressions and Equations

Solving Rational Equations and Radical Equations

8.5 Solving Rational Equations

Linear Equations A linear first-order DE looks like Standard form is

Rational Expressions and Equations

8.6: Solving Rational Equations

Solving Equations Containing Rational Expressions § 6.5 Solving Equations Containing Rational Expressions.

Section 1 – Solving Systems of Equations in Two Variables

31. Solving Rational Equations

9.6 Solving Rational Equations

Section 11.8 Day 1 Rational Equations

Warm-up: Solve for x. Hint, factor first!.

Solving Equations in Quadratic Form

Presentation transcript:

Section 6 – Rational Equations Chapter 4 Section 6 – Rational Equations

LCD One way to solve rational equations is to multiply each side by the Least Common Denominator (LCD) EX 1: Solve 45 = 1700/(d-33)

Solve the Following EX 2: x+((x2–5)/(x2–1))=(x2+x+2)/(x+1)

Solve Some More EX 3: 10 + 2n-5 2n+5 n2–1 n-1 n+1 EX 4: 2x - 2x 1

Inequalities Now! EX 5: ((x-2)(x-1))/((x-3)(x-4))<0 Start by marking the zeros on a number line, then check all the intervals EX 6: Solve 2 + 5 > 3 3a 6a 4

Assignment Chapter 4, Section 6 pgs 247-249 #12-22E,30,37,42,46