Applying the Principles to Formulas

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

Solving Linear Equations Rule 7 ‑ 1: We can perform any mathematical operation on one side of an equation, provided we perform the same operation on the.

Math 025 Unit 5 Section 6.7.

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.

To Start: 10 Points.

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) =

Chapter 6 Section 6 Objectives 1 Copyright © 2012, 2008, 2004 Pearson Education, Inc. Solving Equations with Rational Expressions Distinguish between.

Solving Quadratic Equations by Completing the Square.

 Sometimes you have a formula and you need to solve for some variable other than the "standard" one. Example: Perimeter of a square P=4s It may be that.

EXAMPLE 2 Rationalize denominators of fractions Simplify

Solving Equations Using Multiplication and Division Algebra 1 Section 3.2a.

3.6 Solving Quadratic Equations

The Multiplication Principle of Equality 2.3a 1.Solve linear equations using the multiplication principle. 2.Solve linear equations using both the addition.

3.3 Equations w/ Variables on both sides. 3.3 – Eq. w/ Variables on both sides Goals / “I can…”  Solve equations with variables on both sides  Identify.

Solving Linear Equations with a variable on only one side of the equation.

The Multiplication Principle of Equality

Holt McDougal Algebra 1 Solving Two-Step and Multi-Step Equations Warm Up Evaluate each expression –3(–2) 2. 3(–5 + 7) – 4(7 – 5) Simplify.

Chapter 2 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 2-1 Solving Linear.

Copyright © 2014, 2010, 2007 Pearson Education, Inc. 1 1 Chapter 9 Quadratic Equations and Functions.

Copyright © Cengage Learning. All rights reserved. Rational Expressions and Equations; Ratio and Proportion 6.

Linear Equations  Know your rules for solving equations  If fractions, multiply through by LCD  Distribute values to parentheses  What you do on one.

4.8 – Solving Equations with Fractions

One step equations Add Subtract Multiply Divide  When we solve an equation, our goal is to isolate our variable by using our inverse operations.  What.

5.3 Solving Quadratic Functions with Square Roots Step 1: Add or subtract constant to both sides. Step 2: Divide or multiply coefficient of “x” to both.

Solving Rational Equations

1. solve equations with variables on both sides. 2. solve equations with either infinite solutions or no solution Objectives The student will be able to:

Solving by Completing the Square What value would c have to be to make the following a perfect square trinomial?

The Order of Operations Chapter Evaluate inside grouping symbols ( ), { }, [ ], | |, √ (square root), ─ (fraction bar) 2.Evaluate exponents 3.Multiply.

Deriving the Quadratic Formula. The Quadratic Formula The solutions of a quadratic equation written in Standard Form, ax 2 + bx + c = 0, can be found.

Solving 1-Step Equations 2 An Equation is Like a Balance.

* Collect the like terms 1. 2a = 2a x -2x + 9 = 6x z – – 5z = 2z - 6.

Warm-up #12 ab 1 3x  1814x  x > 32-5x < x  -3 7x > x < x  -24.

3.5 Solving Equations with Variables on Both Sides.

SOLVING QUADRATICS: THE SQUARE ROOT PRINCIPLE PART 3.

10 Quadratic Equations.

Objectives The student will be able to:

2-2 Solving One-Step Equations

My Equations Booklet.

The Square Root Principle & Completing the Square

EXAMPLE 2 Rationalize denominators of fractions Simplify

Objective The student will be able to:

Math Objective: Solve Two-Step Equations

3.6 Clearing an Equation of Fractions and decimals

Solving two-step equations

Objective Solve equations in one variable that contain more than one operation.

Objective The student will be able to:

One Step Rational Number Equations

Objective The student will be able to:

10. Solving Equations Review

To solve two-step equations, undo the operations by working backwards.

2-2 Solving One-Step Equations

Solving one- and two-step equations

Equations with Fractions

Equations with Fractions

Warm Up Solve. 1. 2x + 9x – 3x + 8 = –4 = 6x + 22 – 4x 3. + = 5

10. Solving Equations Review

Objective Solve equations in one variable that contain more than one operation.

Solving Multi-Step Equations

Solve two-step equations.

Solving Multi-Step Equations

2.2 Solving Equations with Variables on Both Sides

Solving two step equations

Solving two-step equations

Learn to solve 2-step equations

Objective Solve radical equations.. Objective Solve radical equations.

If an equation contains fractions, it may help to multiply both sides of the equation by the least common denominator (LCD) to clear the fractions before.

Solving Equations with Fractions

Objectives: Solve two step and multi-step equations.

Presentation transcript:

Applying the Principles to Formulas 2.4 Applying the Principles to Formulas 1. Isolate a variable in a formula using the addition and multiplication principles.

Isolating a Variable in a Formula Isolate the desired variable. Treat all other variables like constants Fraction: LCD – clear the fractions. Add – Subtract Multiply – Divide Square Root: Square both sides and check Perfect Square: Square root both sides – remember ±.

Solve: Solve for w: w =

Solve for r: Solve for h:

Solve: Solve for f:

Solve for B:

Solve for p:

Solve: Solve for d:

Solve: Solve for r:

Solve for d: Rationalize? Didn’t help.

Solve for a: a) b) c) d) 2.4

Solve for a: a) b) c) d) 2.4

Solve for a: a) b) c) d) 2.4

Solve for a: a) b) c) d) 2.4