Lesson 3 Contents Example 1Radical Equation with a Variable Example 2Radical Equation with an Expression Example 3Variable on Each Side.

Slides:

Advertisements

Similar presentations

Splash Screen. Then/Now I CAN solve radical equations. Learning Target.

Advertisements

Solve an equation with variables on both sides

Solve an equation using subtraction EXAMPLE 1 Solve x + 7 = 4. x + 7 = 4x + 7 = 4 Write original equation. x + 7 – 7 = 4 – 7 Use subtraction property of.

Standardized Test Practice

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

Solve an equation with an extraneous solution

Solving Radical Equations

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 10–3) CCSS Then/Now New Vocabulary Key Concept: Power Property of Equality Example 1:Real-World.

Solve an equation with an extraneous solution

EXAMPLE 2 Rationalize denominators of fractions Simplify

3.6 Solving Quadratic Equations

243 = 81 • 3 81 is a perfect square and a factor of 243.

5.3 Solving Quadratic Equations by Finding Square Roots.

1. √49 2. –√144 Lesson 4.5, For use with pages

Perfect Squares Lesson 8-9 Splash Screen.

Lesson 3 Menu Five-Minute Check (over Lesson 10-2) Main Ideas and Vocabulary Targeted TEKS Example 1: Variable in Radical Example 2: Radical Equation with.

Warm up! Simplify:. Solving Radical Equations What is a radical equation? An equation that contains a radical expression with a variable in the radicand.

5.6 Solving Quadratic Function By Finding Square Roots 12/14/2012.

Rational Equations Section 8-6.

Lesson 1-8 Solving Addition and Subtraction Equations.

Solve an equation using addition EXAMPLE 2 Solve x – 12 = 3. Horizontal format Vertical format x– 12 = 3 Write original equation. x – 12 = 3 Add 12 to.

Example 1 Solving Two-Step Equations SOLUTION a. 12x2x + 5 = Write original equation. 112x2x + – = 15 – Subtract 1 from each side. (Subtraction property.

Solving Radical Inequalities. Solving radical inequalities is similar to solving rational equations, but there is one extra step since we must make sure.

EXAMPLE 1 Solve a two-step equation Solve + 5 = 11. x 2 Write original equation. + 5 = x – 5 = x 2 11 – 5 Subtract 5 from each side. = x 2 6 Simplify.

Use the substitution method

Objective I will use square roots to evaluate radical expressions and equations. Algebra.

Solve Linear Systems by Substitution January 28, 2014 Pages

4 = 4 Solve each equation. Check your answers. a. x – 5 = 4 x – 5 = 4

Lesson 4 Contents 11-3 Solving Quadratic Equations by Using the Quadratic Formula Objectives 1. Solve quadratic equations by using the Quadratic Formula.

Solve Equations With Variables on Both Sides. Steps to Solve Equations with Variables on Both Sides  1) Do distributive property  2) Combine like terms.

A radical equation is an equation that contains a radical. BACK.

5-Minute Check on Chapter 2 Transparency 3-1 Click the mouse button or press the Space Bar to display the answers. 1.Evaluate 42 - |x - 7| if x = -3 2.Find.

1 of 8 Algebra 1 Chapter 11 Section 3 Chapter 11 Sec 3 Radical Equations.

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.

Holt Algebra Solving Radical Equations Warm Up(Add to Hw) Solve each equation. 1. 3x +5 = x + 1 = 2x – (x + 7)(x – 4) = 0 5. x 2.

10.4 Radical Equations Algebra 1. 5-Minute Check A. B. C. D.

ALGEBRA 1 Solving Radical Equations 1)Isolate the radical 2)Square both sides 3)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 ___.

Solving Absolute-Value Equations

Solving Absolute Value Equations

Solve 25x3 – 9x = 0 by factoring.

EXAMPLE 2 Rationalize denominators of fractions Simplify

Solving Two-Step Equations

Solve for variable 3x = 6 7x = -21

Solve an equation by multiplying by a reciprocal

Solve a quadratic equation

Section 11-5 Solving Radical Equations

Warm Up Simplify each expression. 1. 3x + 2y – 5x – 2y

Solving One-Step Equations

6-3 Solving Systems Using Elimination

Solving Systems of Equations using Substitution

Getting the radical by itself on one side of the equation.

Solve an equation by combining like terms

2 Understanding Variables and Solving Equations.

2 Understanding Variables and Solving Equations.

Example 1 b and c Are Positive

Objective Solve quadratic equations by factoring..

Warm Up Solve each equation

Solving Multi-Step Equations

Transparency 4a.

Squaring a value and finding its square root is the opposite

Solving Radical Equations

Warm Up: Factor each expression .

Algebra 1 Section 12.2.

Notes Over Using Radicals

Solve Quadratic Equations by Finding Square Roots Lesson 1.5

Presentation transcript:

Lesson 3 Contents Example 1Radical Equation with a Variable Example 2Radical Equation with an Expression Example 3Variable on Each Side

Example 3-1a Free-Fall Height An object is dropped from an unknown height and reaches the ground in 5 seconds. From what height is it dropped? Use the equationto replace t with 5 seconds. Original equation Replace t with 5. Multiply each side by 4. Square each side. Simplify.

Example 3-1a Check Original equation Answer: The object is dropped from 400 feet. and

Example 3-1b Free-Fall Height An object is dropped from an unknown height and reaches the ground in 7 seconds. Use the equationto find from what height it is dropped. Answer: 784 ft

Example 3-2a Solve Answer: The solution is 52. Original equation Subtract 8 from each side. Square each side. Add 3 to each side.

Example 3-2b Answer: 60 Solve

Example 3-3a Solve Original equation Square each side. Simplify. Subtract 2 and add y to each side. Factor. Solve. Zero Product Property or

Example 3-3a Check Answer: Since –2 does not satisfy the original equation, 1 is the only solution.

Example 3-3b Solve Answer: 3

End of Lesson 3