Tom, Dick, Harry and the Gorilla An Investigation.

Slides:

Advertisements

Similar presentations

Parallel Lines. We have seen that parallel lines have the same slope.

Advertisements

Start with your equation Move the # term to the other side, and leave a space Determine what HALF of the coefficient of X is Factor the left side Write.

Fake coin detection. Fake coins Suppose we have a number of coins, at most one is fake (i.e. either one is fake or none is fake). You have a pair of scales.

EXAMPLE 1 Standardized Test Practice SOLUTION Substitute several values of h into the equation C = h and solve for C.Then identify the table that.

Auditorium Problem 6.RP - Understand ratio concepts and use ratio reasoning to solve problems. 7.RP - Analyze proportional relationships and use them.

Solving Equations = 4x – 5(6x – 10) -132 = 4x – 30x = -26x = -26x 7 = x.

The Lawn An Investigation Two men Tom and Dick were going to cut the grass on their square lawn. They agreed that each should cut one-half of the area.

Two way tables There are 125 children in Year 6. 52% of them are girls. 20% of girls do not play football. Five times as many boys play as do not play.

Technical Question Technical Question

Solving Equations In Quadratic Form There are several methods one can use to solve a quadratic equation. Sometimes we are called upon to solve an equation.

EXAMPLE 1 Solve a quadratic equation by finding square roots Solve x 2 – 8x + 16 = 25. x 2 – 8x + 16 = 25 Write original equation. (x – 4) 2 = 25 Write.

EXAMPLE 3 Write an equation for a function

EXAMPLE 2 Graph direct variation equations Graph the direct variation equation. a.a. y = x 2 3 y = –3x b.b. SOLUTION a.a. Plot a point at the origin. The.

Algebra 1: Solving Equations with variables on BOTH sides.

Table of Contents Solving Equations In Quadratic Form There are several methods one can use to solve a quadratic equation. Sometimes we are called upon.

Rounding One way of estimating Ask “About how many?” Round to the nearest 10 Round to the nearest 100 Round to the nearest 1,000.

EXAMPLE 3 Solve an equation by factoring Solve 2x 2 + 8x = 0. 2x 2 + 8x = 0 2x(x + 4) = 0 2x = 0 x = 0 or x + 4 = 0 or x = – 4 ANSWER The solutions of.

Standardized Test Practice

Graph an equation in standard form

Section 4.5 Exp. & Log Equations

1.8: Intro to Equations Equation: A mathematical sentence that uses the equal ( = ) sign. Ex: 3x=12, -1(x + 5) = 8, Open Sentence: An equation.

11.4 Notes Solving logarithmic equations Notes In this unit of study, you will learn several methods for solving several types of logarithmic equations.

Substitute 0 for y. Write original equation. To find the x- intercept, substitute 0 for y and solve for x. SOLUTION Find the x- intercept and the y- intercept.

Substitute 0 for y. Write original equation. To find the x- intercept, substitute 0 for y and solve for x. SOLUTION Find the x- intercept and the y- intercept.

Determine whether (2, 4) is a solution for y= 5x-6.

Perpendicular lines Investigate the relationship between the gradients of perpendicular lines. What process would you suggest? Set up a table of values.

Solving Quadratic Equations by Factoring. Solution by factoring Example 1 Find the roots of each quadratic by factoring. factoring a) x² − 3x + 2 b) x².

3-2 Solving Equations by Using Addition and Subtraction Objective: Students will be able to solve equations by using addition and subtraction.

Solving Quadratic Equations by Factoring January 6, 2015 Pages

Find the equation of the line that has... A B C D E F

Circles. Equation of a circle: ( x – h )2 )2 + ( y – k )2 )2 = r2r2 Center of the circle: C( h, k ) Radius of the circle: r Diameter of the circle: d.

Solving and using number lines Inequalities. Inequalities and Equalities What’s the difference? What are the answers?

5 – 2: Solving Quadratic Equations by Factoring Objective: CA 8: Students solve and graph quadratic equations by factoring, completing the square, or using.

Solving Systems of Equations: The Elimination Method Solving Systems of Equations: The Elimination Method Solving Systems of Equations: The Elimination.

Trigonometric Equations 5.5. To solve an equation containing a single trigonometric function: Isolate the function on one side of the equation. Solve.

2.1 – Linear and Quadratic Equations Linear Equations.

Copyright © 2015, 2008, 2011 Pearson Education, Inc. Section 4.4, Slide 1 Chapter 4 Exponential Functions.

Example 31: Solve the following game by equal gains method: Y I II I II I X II II

Card games An Investigation Peter, Alan and Shirley are playing a game using the 9 cards shown below. The cards are turned over and mixed up, so that.

Solve a quadratic equation by finding square roots

Solving multi step equations. 12X + 3 = 4X X 12X + 3 = 3X X 9X + 3 = X = X =

Solving equations with variable on both sides Part 1.

1)Glue Standards for Unit 4 onto page 91 2) Page 93 Make the following table on the WHOLE sheet of paper :

8.5 Solving Rational Equations. 1. Factor all denominators 2. Find the LCD 3.Multiply every term on both sides of the equation by the LCD to cancel out.

Graphing Quadratic Functions

Equations Quadratic in form factorable equations

Notes Over 9.6 An Equation with One Solution

A quadratic equation is written in the Standard Form,

Solving Equations by Factoring and Problem Solving

Solving Systems of Equations using Substitution

Solving Two-Step Equations

What is an equation? An equation is a mathematical statement that two expressions are equal. For example, = 7 is an equation. Note: An equation.

2 Understanding Variables and Solving Equations.

Solving Quadratic Equations by Factoring

1.4 Solving Absolute-Value Equations

Day 2 – Solving Systems by Graphing

8.5 Solving Rational Equations

m n SOLVING EQUATIONS How many sweets were in each type of bag?

8.5 Solving Rational Equations

3 Inverse Functions.

1.4 Solving Absolute-Value Equations

Notes Over 1.7 Solving Inequalities

Notes Over 1.7 Solving Inequalities

Solving for x and y when you have two equations

Equations Quadratic in form factorable equations

Finding the Zeroes.

Example 5A: Solving Simple Rational Equations

5.2 Solving Systems of Equations Using Substitution (Warm-Up)

Example 1: Solving Rational Equations

8.5 Solving Rational Equations

Presentation transcript:

Tom, Dick, Harry and the Gorilla An Investigation

Tom, Dick, Harry and the Gorilla On a table is a bag of nuts. Standing round the table are three boys Tom, Dick and Harry and a gorilla called Hilda. The nuts are to be shared between them. Tom takes the bag of nuts. He gives one to the Gorilla and takes half of what is left for himself, and then passes the bag onto Dick. Dick opens the bag and takes half the nuts for himself before passing one to the Gorilla. He then passes the bag to Harry.

Tom, Dick, Harry and the Gorilla Harry eats one of the nuts when he gets the bag and then shares the rest equally with the Gorilla. If the Gorilla got 17 nuts in total, how many nuts were originally in the bag?

Solution:- Tom, Dick, Harry and the Gorilla Let x be the number of nuts in the bag originally. Tom gets ½(x-1) of the nuts. Dick gets ¼(x-1). Harry gets and Hilda gets Solving the equation, gives x = 129 nuts in the bag. Therefore Tom = 64 nuts Dick = 32 nuts Harry= 16 nuts Hilda = 17 nuts