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Changing the Subject of a FormulaDr Frost
Motivation The formula to calculate a temperature in Fahrenheit if we have the temperature in Celsius: But what if we had say the temperature in Fahrenheit, and wanted to know it in Celsius?
Motivation C is now the subject of the formula. If we have some value of F, we can now more easily substitute it in to give us a value for C.
Learning Objectives Be able to make a term the subject of a formula, possibly involving brackets, squared terms and square roots.
x = ? ‘Solving’ an equationSolving an equation means that we make a given variable the subject of the formula. x = ?
Questions STP9A - Page 188 Exercise 9D: Q1, 3, 5.Exercise 9E: Odd questions.
Frost Conundrum FC At what temperature do we get the same reading regardless of whether we use Fahrenheit or Celsius?
Recap Make x the subject.
Questions Rayner – page 176 Exercise 4 Exercise 5
Ζ GCSE- Changing the Subject Dr Frost Objectives: To be able to change the subject of a formula where the term appears multiple times, and where the equation.
GCSE: Further Simultaneous Equations Dr J Frost Last modified: 31 st August 2015.
Background Knowledge By the end of this lesson you will be able to explain/solve the following: 1.The Subject of an equation 2.Rearrange a given formula.
Solve by factoring. x² = - 4 – 5x 2,. Solve by factoring. n² = -30 – 11n -4 and -1.
7.5 Warm-Up Solve. 1. x5/2 = x2/ = 24 x2/3 = 9
Solving Quadratic Functions Lesson 5.5b. Finding Zeros Often with quadratic functions f(x) = a*x 2 + bx + c we speak of “finding the zeros” This means.
What do you notice about this new relation? Solve each equation for the given variable. 1. in terms of b 5. in terms of r 3. in terms of m 2. in terms.
Lesson 9.7 Solve Systems with Quadratic Equations
Lesson 3-5 Pages Solving Two-Step Equations Lesson Check 3-4.
Rearrange the formula to make a the subject b = 5a + 21 b – 21 = 5a b – 21 = a -21 ÷5 5 This means we want to rearrange the formula so it says a = Our.
Using square roots to solve quadratic equations. 2x² = 8 22 x² = 4 The opposite of squaring a number is taking its square root √ 4= ± 2.
Using Formulas and Literal Equations Section 3.6.
Many quadratic equations can not be solved by factoring. Other techniques are required to solve them. 7.1 – Completing the Square x 2 = 20 5x =
Warm-up: Define the following: Square root 8. Identity Radicand ratio
Pgs What’s the answer? x 4 – 3 Order of Operations Hopefully you remember this: BEDMAS Brackets, Exponents, Divide, Multiply,
2-8 Solving for a Specific Variable Algebra 1 Glencoe McGraw-HillLinda Stamper.
Using Formulas Lesson 3-4. Math Vocabulary Formula: A math statement, usually an equation, that is represented by variables and is used to solve for a.
The Quadratic Formula. What does the Quadratic Formula Do ? The Quadratic formula allows you to find the roots of a quadratic equation (if they exist)
5.3 – Writing Linear Equations Given Two Points Today we will learn how to: ◦ Write an equation of a line given two points on the line ◦ Use a linear.
Ch. 6.4 Solving Polynomial Equations. Sum and Difference of Cubes.
Section 1.7 Using Variables and Formulas. 1.7 Lecture Guide: Using Variables and Formulas Objective 1: Evaluate an algebraic expression for specific values.
Produced by MEI on behalf of OCR © OCR 2013 Introduction to Quantitative Methods Changing the subject of the formula © OCR 2014.
GCSE: Changing the Subject Dr J Frost Last modified: 30 th August 2015.
7.1 – Completing the Square
Table of Contents First note this equation has "quadratic form" since the degree of one of the variable terms is twice that of the other. When this occurs,
PreCalculus Section 1.6 Solve quadratic equations by: a. Factoring b. Completing the square c. Quadratic formula d. Programmed calculator Any equation.
9.3 Equations and Absolute Value Goal(s): To solve equations involving absolute value.
3.5 – Solving Systems of Equations in Three Variables.
CHAPTER 10 LESSON OBJECTIVES. Objectives 10.1 Students will be able to: Identify quadratic functions and determine whether they have a minimum or maximum.
11.3 Solving Radical Equations Definitions & Rules Simplifying Radicals Practice Problems.
C2: Quadratic Functions and Discriminants Dr J Frost Last modified: 2 nd September 2013.
Notes 6.5, Date__________ (Substitution). To solve using Substitution: 1.Solve one equation for one variable (choose the variable with a coefficient of.
6.4 Completing the Square The Square Root Property.
Section 1.4 Day 1 – Quadratic Equations No Calculator After this section you should be able to: Solve quadratic equations by FACTORING.
Taking the n th Root to Solve Equations Chapter 7.1.
Rewrite the numbers so they have the same bases i.e. 8 2 = (2 3 ) 2.
CHAPTER 1 Section 1-5 solving equations with variables on both sides.
Solving Quadratic Equations – Part 2 Quadratic Formula - another way to solve quadratic equations based on the standard form for a quadratic equation It.
Solving Systems of three equations with three variables Using substitution or elimination.
Unit 15 COMPLEX EQUATIONS.
Objectives: 1.Be able to solve a radical equation. 2.Be able to solve an equation that contains a rational exponent. Critical Vocabulary: Rational Exponents,
Solving Equations = 4x – 5(6x – 10) -132 = 4x – 30x = -26x = -26x 7 = x.
Warm-Up Exercises Divide each side by 2. Write original equation. Write 3x + 2y = 8 so that y is a function of x. EXAMPLE 2 Rewrite an equation Subtract.
Solving Equations with Exponents and Radicals Intro to Algebra.
SOLVING SYSTEMS OF EQUATIONS BY SUBSTITUTION. #1. SOLVE one equation for the easiest variable a. Isolated variable b. Leading Coefficient of One #2. SUBSTITUTE.
Solving Nonlinear Systems Section 3.5 beginning on page 132.
The temperature of the human body would be 37°C °C.
Solving Linear Equations
Warm-Up Exercises EXAMPLE 1 Standardized Test Practice What are the solutions of 3x 2 + 5x = 8? –1 and – A 8 3 B –1 and 8 3 C 1 and – 8 3 D 1 and 8 3 SOLUTION.
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