Complex Numbers, Quadratics and Rational Expressions Mathketball Review Team Test tomorrow – Thursday March 3rd.

Slides:



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

Homework Solution lesson 8.5
Whiteboard Review Algebra 2. Concepts Multiplying and dividing rational expressions (9.4) Adding and subtracting rational expressions (9.5) Complex.
EXAMPLE 1 Solve quadratic equations Solve the equation. a. 2x 2 = 8 SOLUTION a. 2x 2 = 8 Write original equation. x 2 = 4 Divide each side by 2. x = ±
1.1 Linear Equations A linear equation in one variable is equivalent to an equation of the form To solve an equation means to find all the solutions of.
Review and Examples: 7.4 – Adding, Subtracting, Multiplying Radical Expressions.
Section 8.1 Completing the Square. Factoring Before today the only way we had for solving quadratics was to factor. x 2 - 2x - 15 = 0 (x + 3)(x - 5) =
Lesson 13.4 Solving Radical Equations. Squaring Both Sides of an Equation If a = b, then a 2 = b 2 Squaring both sides of an equation often introduces.
Solve a radical equation
Warm-Up Exercises ANSWER ANSWER x =
Other Types of Equations
A. b..  When given the roots of a quadratic equation we can work backwards to find the quadratic equation.  Example:  If you know that your roots.
Warm-up Find the domain and range from these 3 equations.
EXAMPLE 2 Rationalize denominators of fractions Simplify
2.13 Warm Up x² - 2x + 15 = 0; 3 x² + 3x – 4 = 0; 1
2.13 Use Square Roots to Solve Quadratics Example 1 Solve quadratic equations Solution Write original equation. 5 Solve the equation. Add __ to each side.
3.6 Solving Quadratic Equations
Simplify a rational expression
5.3 Solving Quadratic Equations by Finding Square Roots.
1. √49 2. –√144 Lesson 4.5, For use with pages
11-9 Rational Equations and Functions Algebra 1 Glencoe McGraw-HillLinda Stamper.
Simplifying Radicals Section 5.3. Radicals Definition Simplifying Adding/Subtracting Multiplying Dividing Rationalizing the denominator.
5.6 Solving Quadratic Function By Finding Square Roots 12/14/2012.
10-7 Solving Rational Equations Warm Up Warm Up Lesson Presentation Lesson Presentation California Standards California StandardsPreview.
8.5 – Add and Subtract Rational Expressions. When you add or subtract fractions, you must have a common denominator. When you subtract, make sure to distribute.
How can we solve fractional equations? Do now: Solve for x What steps did you use to solve?
1. 2. * Often times we are not able to a quadratic equation in order to solve it. When this is the case, we have two other methods: completing the square.
Rational Equations Section 8-6.
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.
4.5: Do Now: Review 4.3/4.4. The area of a rectangle with length = 3x + 1 and width = 2x + 1 is 22. Write and solve an equation to find the dimension of.
Section 6.4 Rational Equations
Fricovsky 4.5: Do Now: Simplify. 1.
Solving Rational Equations
(x+2)(x-2).  Objective: Be able to solve equations involving rational expressions.  Strategy: Multiply by the common denominator.  NOTE: BE SURE TO.
 Cross Multiply – used to solve simple rational equations  Can only be done when each side has a single rational expression.
Essential Question: What must you do to find the solutions of a rational equation?
Table of Contents Solving Equations That Lead to Quadratic Equations There are several methods one can use to solve a quadratic equation. Sometimes we.
Solving Equations That Lead to Quadratic Equations There are several methods one can use to solve a quadratic equation. Sometimes we are called upon to.
7.5 Solving Square Roots & Other Radical Equations (Day 1)
10.6 Solving Rational Equations Rational Equation An equation containing one or more rational expressions.
x + 5 = 105x = 10  x = (  x ) 2 = ( 5 ) 2 x = 5 x = 2 x = 25 (5) + 5 = 105(2) = 10  25 = 5 10 = = 10 5 = 5.
11.3 Solving Radical Equations Definitions & Rules Simplifying Radicals Practice Problems.
Warm-Up Exercises Section 5.5 Adding and Subtracting Rational Expressions.
Holt Algebra Solving Rational Equations Warm Up 1. Find the LCM of x, 2x 2, and Find the LCM of p 2 – 4p and p 2 – 16. Multiply. Simplify.
Add ___ to each side. Example 1 Solve a radical equation Solve Write original equation. 3.5 Solve Radical Equations Solution Divide each side by ___.
Section 7.1 Rational Exponents and Radicals.
Aim: How do we solve fractional equations?
11.5 Adding and Subtracting Rational Expressions
A B C D Solve x2 + 8x + 16 = 16 by completing the square. –8, 0
EXAMPLE 2 Rationalize denominators of fractions Simplify
Solve a quadratic equation
6.7 Imaginary Numbers & 6.8 Complex Numbers
9.6 Solving Rational Equations
Warm Up Solve each of the quadratic functions: x2 – 3 = 0
10.7 Solving Quadratic Equations by Completing the Square
Simplify Complex Rational Expressions
Warmups Simplify 1+ 2
Quadratic Equations & Square Roots
4.2: Solving Rational Equations
Rational Expressions and Equations
Warmup Find the exact value. 1. √27 2. –√
Final Review Day 4 Algebra 1.
Multiplying and Dividing Rational Numbers
Warm Up #3 Find the exact value. 2. –√ √49 ANSWER –12 7 ANSWER
Solving Equations Containing Rational Expressions § 6.5 Solving Equations Containing Rational Expressions.
31. Solving Rational Equations
Notes Over Using Radicals
Solving Equations with Fractions
Objective Standard 15.0 I will solve a rational equation by multiplying the LCM of the denominators to both sides.
Multiplying and Dividing Rational Numbers
Presentation transcript:

Complex Numbers, Quadratics and Rational Expressions Mathketball Review Team Test tomorrow – Thursday March 3rd

Quiz questions Any questions from the quiz you just got back?

Materials Each team needs a white board If your color comes up – you do the problem on the white board and come up to me to shoot. EVERYONE else in the team needs to do the problem with their team I will post this power point to my FIS class files so you can use it to study

#1 – Simplifying Complex Numbers (a+bi form) Simplify the following Complex Expressions – leave answers in a+bi form

Solution #1 -43

#2 – Simplify Complex Fractions (a+bi form) Make sure to multiply by the denominator BUT change the sign

Solution #2

#3- Solving a Quadratic (using square roots) Solve the following quadratic equations It is helpful to square root both sides INSTEAD of multiplying first in some cases (like this )

Solution #3

#4 – Solving with radicals Solve by squaring both sides. Please check your solutions in the original equation to make sure they work. Do BOTH solutions work???

Solution #4

#5 – Completing the Square to Solve Solve the following quadratic by completing the square – the goal is to get the equation in and then take the sq. root of both sides.

Solution #5

#6 – Powers of i Simplify the following expressions to a+bi form by using the powers of i.

Solution #6

#7 – Multiplying Rational Expressions Multiply and then simplify the following rational expression. You may want to factor first.

Solution #7

#8 – Adding/Subtracting Rational Expressions Add and subtract the following expressions Find the LCD (least common denominator 1 st )

Solution #8

#9 – Simplifying Rational Expressions Anyone can shoot for this problem. DOUBLE points!

Solution #9 (x-3)

Homework Study ALL your quizzes and yellow packets from this unit. The test will include: – Simplifying Complex Expressions – Solving Quadratics – Multiplying/Dividing, Adding/Subtracting Rational Expressions TEAM TEST TOMORROW!!!