Investigation #11. An equation states that two quantities are equal. In the equation A = 5 + 0.5d A and 5 + 0.5d are the two quantities. They both represent.

Slides:

Advertisements

Similar presentations

ONE STEP EQUATIONS.

Advertisements

ONE STEP EQUATIONS What you do to one side of the equation must also be done to the other side to keep it balanced. An equation is like a balance scale.

Equations with the unknown on both sides.

Do Now 10/30/09 Copy HW in your planner. Copy HW in your planner. –Text p. 134, #12-28 evens & #34 & #36 Did you turn in POTW#8?

Solving Inequalities with variables on both sides of the Sign

Solving Equations with variables on both sides of the Equals

Solving Fraction Equations by Multiplying

3.3 Solving Multi-Step Equations. A multi-step equation requires more than two steps to solve. To solve a multi-step equation: you may have to simplify.

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

Solving Equations with variables on both sides of the Equals Chapter 3.5.

Lesson 2-4. Many equations contain variables on each side. To solve these equations, FIRST use addition and subtraction to write an equivalent equation.

Standardized Test Practice

Standardized Test Practice

© 2007 by S - Squared, Inc. All Rights Reserved.

Chapter 2 Lesson 1 Solving ONE STEP EQUATIONS ONE STEP EQUATIONS What you do to one side of the equation must also be done to the other side to keep.

Solving most physics problems involves using equations that relate three or more quantities. For example, F = ma.

2.1 Solving One Step Equations. Addition Property of Equality For every real number a, b, and c, if a = b, then a + c = b + c. Example 8 = For every.

Solving Equations: The Addition and Multiplication Properties Section 3.2.

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.

Math – The Multiplication/Division Principle of Equality 1.

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

Table of Contents Solving Polynomial Equations – Factoring Method A special property is needed to solve polynomial equations by the method of factoring.

  A ratio is a way to compare two quantities that are measured in the same units by using division  45 : 100 Ratio.

MAT111 epw 11/1/061 ALGEBRA REVIEW Three Basic Rules.

Solve 7n – 2 = 5n + 6. Example 1: Solving Equations with Variables on Both Sides To collect the variable terms on one side, subtract 5n from both sides.

MSA 3.3 – Writing Equations

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

Solving 2 step equations. Two step equations have addition or subtraction and multiply or divide 3x + 1 = 10 3x + 1 = 10 4y + 2 = 10 4y + 2 = 10 2b +

Solving Equations. An equation links an algebraic expression and a number, or two algebraic expressions with an equals sign. For example: x + 7 = 13 is.

Students will use inverse operations to solve one-step equations.

Students will use inverse operations to solve one-step equations.

Students will use inverse operations to solve one-step equations.

Solving Multi-Step Equations

Equations Pre/Post Test

ONE STEP EQUATIONS.

ONE STEP EQUATIONS.

Variables on Both Sides with Equations

Example 2 4 m 8 m 5m 12 m x y.

MSA 3.3 – Writing Equations

Solving Equations A “Balanced” Approach Skip to One-Step Equations

Solving One Step Equations

Students will use inverse operations to solve one-step equations.

Students will use inverse operations to solve one-step equations.

6-3 Solving Systems Using Elimination

Solving Multi-Step Equations

Solving Multi-Step Equations

EQ: How do I solve an equation in one variable?

Solve an equation by combining like terms

G Dear ©2009 – Not to be sold/Free to use

One step equation with Multiplication and Division

2 Understanding Variables and Solving Equations.

Solving Multi-Step Equations

One step equation with Addition and Subtraction

a + 2 = 6 What does this represent? 2 a

Subtract the same value on each side

Solving Multi-Step Equations

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

Students will use inverse operations to solve one-step equations.

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

Solving Multi-Step Equations

Ch. 1.3 Solving Linear Equations

G Dear ©2010 – Not to be sold/Free to use

ONE STEP EQUATIONS WHAT?!?!.

Solving basic equations

ONE STEP EQUATIONS.

Students will use inverse operations to solve one-step equations.

ONE STEP EQUATIONS.

Presentation transcript:

Investigation #11

An equation states that two quantities are equal. In the equation A = d A and d are the two quantities. They both represent how much money that Diana collects from each sponsor. Since each quantity represents numbers, we can use the properties of numbers to solve equations with one unknown.

A = d A d = To be equal, both sides of the equation must have the same value. This is a balanced equation. So if A = 10 then the other side of the equal sign ( d) must also equal 10.

This equation states that 85 and are equal. If I subtract 15 from the left had side of the original equation, what do I have to do to maintain equality? If I add 10 to the right hand side of the equation, what do I have to do to maintain equality? If I divide the left hand side of the equation by 5, what do I have to do to maintain equality? If I multiply the right hand side of the equation by 4, what do I have to do to maintain equality?

In this kingdom the ambassadors carry diplomatic pouches. The content of the pouches are unknown except by the ambassadors. Ambassador Noah wants to send one dollar gold coins to another country. His friend Laura, who is a mathematician, helps him devise a scheme based on equality for keeping track of the number of one dollar coins in each pouch.

Each pouch contains the same number of one dollar gold coins. The number of gold coins on both sides of the equality sign is the same, but some coins are hidden in the pouches. Your job today will be to find out the number of gold coins hidden in the pouches!

Luisa & Brittny Aliah & Yael Victoria & Trevor Jessica & Lindsi Kyle & Sam Kairash & Marco Donique & Ashley Alex & Austin Myah & Isa Karrah & Cecilia Nestor & Rafeal Lauren & Gaige Orlando & Carly

Baxter & Brenna Grant & Christian Maxine & Noah Skylar & Jackson Sterling & Jennifer Madison & Sierra Dylan & Amasjai Elizabeth & Ben Austin & Gage Laura & Abbie Angelo & Auriya Victoria & Taylor Chase & Alyx

Diana & Issamar Matt & Tia Serena & Elijiah Cassandra & Elena Michael & Jon Jazmyn & Alex Tatum & Jade Saul & Lauren Alexa & Alicia Nick & Michelle Jesus & Thadius James & Ana Kristen & Nathan