### Day 75 - Adding/Subtracting Rational Expressions - 05.06.15

Updates
• Unit 6 Test
• next Tuesday, May 12th!

Questions

Bell Ringer
• Posted on the board!

Review
• Fractions
• Operations with Fractions (+, -, *, /)
• Simplifying Fractions
• Rationals

Lesson
• Adding/Subtracting Rational Expressions (video)
• Complex Fractions and Mixed Numbers
• Solving Rational Equations (video)

Exit Ticket

$\\ET - Day 75\\ \\ 1. x-3 \overline{\smash)x^3-2x^2-22x+21}\\\\ 2. \frac{2x}{x-4}-\frac{8}{x-4}\\\\ 3. \frac{3a}{a-2}+\frac{5a}{a+1}$

Essential Question(s)
• How can rational expressions be added/subtracted?
Skills
1. Add/subtract rational expressions will common denominators.
2. Add/subtract rational expressions will uncommon denominators.

#### In-Class Help Requests

Standard(s)
• CC.9-12.A.REI.2 Understand solving equations as a process of reasoning and explain the reasoning. Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.
• CC.9-12.A.APR.6 Rewrite rational expressions. Rewrite simple rational expressions in different forms; write a(x)/b(x) in the form q(x) + r(x)/b(x), where a(x), b(x), q(x), and r(x) are polynomials with the degree of r(x) less than the degree of b(x), using inspection, long division, or, for the more complicated examples, a computer algebra system.
• CC.9-12.A.REI.11 Represent and solve equations and inequalities graphically. Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions.*
• CC.9-12.A.CED.1 Create equations that describe numbers or relationship. Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.*

Mathematical Practice(s)
• #1 - Make sense of problems and persevere in solving them
• #2 - Reason abstractly and quantitatively
• #7 - Look for and make use of structure