1-3 Solving Equations Big Idea: -Solve equations and inequalities.

Slides:

Advertisements

Similar presentations

1 2-4 Reasoning in Algebra Objectives: Use basic properties of algebra in reasoning Define congruence State the properties of congruence.

Advertisements

Chapter 3 Math Vocabulary

Vocabulary Chapter 6.

3-3 Solving Multiplication Equations. Solve Solution GOAL Find the value of the variable that makes the equation TRUE. The value that makes the equation.

3-4 Algebra Properties Used in Geometry The properties of operations of real numbers that you used in arithmetic and algebra can be applied in geometry.

Pre-Assessment Identify the property of equality that justifies the missing steps in solving the equation below. Equation Steps 23 = 2x – 9 Original.

E QUATIONS & INEQUALITIES Properties. W HAT ARE EQUATIONS ? Equations are mathematical sentences that state two expressions are equal. Example: 2x – 5.

2-5 Reasoning in Algebra and Geometry

Chapter 1 Section 3 Solving Equations. Verbal Expressions to Algebraic Expressions Example 1: Write an algebraic expression to represent each variable.

Lesson 3: Properties of equality and solving equations.

Reasoning with Properties from Algebra. Properties of Equality Addition (Subtraction) Property of Equality If a = b, then: a + c = b + c a – c = b – c.

1.6 Introduction to Solving Equations

Algebraic Proofs.

2.4 Algebraic Reasoning. What We Will Learn O Use algebraic properties of equality to justify steps in solving O Use distributive property to justify.

Pre-Assessment 1.Identify the property of equality that justifies the missing steps in solving the equation below. EquationSteps 23 = 2x – 9Original Equation.

Reasoning With Properties of Algebra

Geometry 2.5 Big Idea: Reason Using Properties from Algebra.

Chapter 2.5 Notes: Reason Using Properties from Algebra Goal: You will use algebraic properties in logical arguments.

Unit 2 Reasoning with Equations and Inequalities.

2.3 Diagrams and 2.4 Algebraic Reasoning. You will hand this in P. 88, 23.

1.6. DEFINITIONS  An equation is a statement that two expressions are equal.  Usually contains 1 or more variables  A variable is a symbol that represents.

Section 1.4 Solving Equations. The Language of algebra provides a way to translate word expressions into mathematical equations 1)Write each equation.

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

Solving Equations.

Objective: To prove and apply theorems about angles Proving Angles Congruent (2-6)

1.6 Introduction to Solving Equations Objectives: Write and solve a linear equation in one variable. Solve a literal equation for a specified variable.

Reasoning with Properties from Algebra Algebraic Properties of Equality let a, b, and c be real numbers. Addition Property: If a=b, then a+c=b+c. Subtraction.

Solve one step equations. You can add the same amount to both sides of an equation and the statement will remain true = = 9 x = y +

Lesson 3: Properties Algebra 1 CP Mrs.Mongold. Identity and Equality Properties Additive Identity- any number plus zero equals that number.

Properties of Equality. Operations We’ve used these properties to solve our bell work problems: Addition Property: If x = 4, then x + 3 = Subtraction.

Reasoning with Properties from Algebra. Properties of Equality For all properties, a, b, & c are real #s. Addition property of equality- if a=b, then.

VARIABLES AND EXPRESSIONS VARIABLES are symbols used to represent unspecified numbers or values. EXAMPLES 3m 5x + 2 3ab + 7c An ALGEBRAIC EXPRESSION consists.

NUMBER SENTENCES 6.7.

2-5 Reason Using Properties from Algebra Hubarth Geometry.

2.5 Algebra Reasoning. Addition Property: if a=b, then a+c = b+c Addition Property: if a=b, then a+c = b+c Subtraction Property: if a=b, then a-c = b-c.

Section 2.2 Day 1. A) Algebraic Properties of Equality Let a, b, and c be real numbers: 1) Addition Property – If a = b, then a + c = b + c Use them 2)

Lesson 1-3 Solving Equations. Properties of Equality Reflexive Propertya = a Symmetric PropertyIf a = b, then b = a. Transitive PropertyIf a = b and b.

Algebraic Proofs. 1. Transitive property of equality 2. Symmetric property of equality 3. Reflexive property of equality 4. Substitution 5. Addition property.

Using Multiplication & Division

3.3 – Solving Systems of Inequalities by Graphing

Properties of Equality and Solving One-Step Equations

Linear Equations in One Variable

2.4 Reasoning with Properties from Algebra

1-5 Equations Goals: Solve equations with one variable

Solve Quadratic Equations by the Quadratic Formula

Solving Inequalities Using Multiplication and Division

Learning Target I can solve and graph multi-step, one-variable inequalities using algebraic properties.

2.4 Algebraic Reasoning.

Solving Inequalities Using Addition and Subtraction

One-Step Equations with Subtraction

2-5 Reason Using Properties from Algebra

Reasoning With Properties of Algebra

Expressions, Equations, and Inequalities

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

Equations and Inequalities

Equation- a math sentence with an equal sign.

Algebraic proofs A proof is an argument that uses logic to show that a conclusion is true. Every time you solved an equation in Algebra you were performing.

Substitution method y= 3x+1 5x + 2 y =13 Solve:

Properties of Equality Algebra

Properties of Equality

Reasoning in Algebra & Geometry

Lesson 1 – 4 Solving Equations.

Algebra 1 Section 2.4.

Reasoning with Properties from Algebra

3-2 Solving Inequalities Using Addition and Subtraction

Equations Chapter 7.1.

Homework Pg107(2,6,10,12-15,25-28,30-32,49).

Solving 1 and 2 Step Equations

Notes Over 6.1 Graphing a Linear Inequality Graph the inequality.

Presentation transcript:

1-3 Solving Equations Big Idea: -Solve equations and inequalities

Solving Equations Solution of the equation: a number that makes the equation true. Solution

Properties of Equality Reflexive Property x = x Symmetric Propertyif a = b then b = a Transitive Property if c = d and d = e then c = e Addition Property if x = 5 then x +3 = 5 + 3

Subtraction Property if y = 2 then y – 1= 2 -1 Multiplication Property if w = 6 then 3w = 3·6 Division Property if a = 10 then a/2 = 10/2 Substitution Property if a = 2 and a + 3 then 2 + 3

Ex 1: Solve. A) 7x + 3 = 2x - 12 B 4(m + 9) = -3(m – 4)

Ex 2: The formula for the surface area of a rectangular prism is A = 2(lw + lh + wh). Solve the formula for w.

Ex 3: Solve for x. Find any restrictions on a and b.

Essential Question: How are algebraic expressions different or same from algebraic equations? Answer question on your Notes in complete sentences.