Algebraic Proofs. 1.X + 5 = 19 2. - 5 - 5 3.X = 14 1.Given 2.- Prop. = 3.Simplify Statement Reason.

Slides:

Advertisements

Similar presentations

2.5 Reasoning in Algebra and Geometry

Advertisements

Homework Quiz. Strategy for solving algebraic problems: Step 1 – Identify the angle relationship. Step 2 – Congruent or Supplementary? Step 3 – Write.

2-5 Reasoning in Algebra and Geometry

Exponents and Order of Operations

Algebraic proof Chapter 2 Section 6.

Algebra Unit 1: Foundations for Algebra. Write an algebraic expression for the product of 9 and a number, n less than 18.

 Solve and algebraic equation and provide a justification for each step.  Identify which property of equality or congruence is being used.

2.5 – Reasoning Using Properties of Algebra

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.

Reasoning With Properties of Algebra

1.7 The Distributive Property. You can use the distributive property to simplify algebraic expressions We can use the distributive property to re-write.

Warm Up. Warm Up Answers Theorem and Proof A theorem is a statement or conjecture that has been shown to be true. A theorem is a statement or conjecture.

They are easier than Geometry ones!!. PROOFS The “GIVEN” is always written first –It is a “GIMME” The “PROVE” should be your last line Make a two column.

1.3 – Algebraic Expressions Students will be able to: evaluate algebraic expressions Simplify algebraic expressions Lesson Vocabulary Evaluate term coefficient.

Simplifying Algebraic Expressions. 1. Evaluate each expression using the given values of the variables (similar to p.72 #37-49)

2.5 Reason Using Properties from Algebra Objective: To use algebraic properties in logical arguments.

The Distributive Property

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.

2.5 Reasoning in Algebra and Geometry Algebraic properties of equality are used in Geometry. –Will help you solve problems and justify each step. In Geometry,

Martin-Gay, Beginning Algebra, 5ed

Properties of Algebra. 7 + ( ) = ( ) + 9.

Aim: How do we evaluate algebraic expressions? Do Now: Evaluate. 1. (-4) 2 ÷ [(6+2) ] (6 × ) 3. ( * 5) ÷ 12 √100.

CHAPTER 2 SECTION 6 Jim Smith JCHS. Properties we’ll be needing REFLEXIVE -- a = aREFLEXIVE -- a = a SYMMETRIC -- if x = 2 then 2 = xSYMMETRIC -- if x.

Chapter 2 Reasoning and Proof

Notes Over 1.2.

Reasoning in Algebra and Geometry

A. A line contains at least two points.

Distributive Property

Adding and Subtracting Radical Expressions

Warm Up Rewrite each term using math symbols you learned in chapter 1 (symbols for a line, angle, ray, etc.) Example: MN Ray MN _________________________________________________________.

2.5 and 2.6 Properties of Equality and Congruence

Proving Statements about Segments

Review Problems Algebra 1 11-R.

Chapter 2.6 (Part 1): Prove Statements about Segments and Angles

2.5 – Reasoning Using Properties of Algebra

2.4 Algebraic Reasoning.

Geometry 2.4 Algebra Properties

2.5 Reasoning in Algebra and Geometry

Multiplication Properties of Exponents

Using The Distributive Property With Variables

Algebraic proofs.

2-6 Algebraic Proof Ms. Andrejko.

3-4A Solving Multi-Step Inequalities

3-4B Solving Inequalities with Special Solutions

Agenda EQ: How do we write 2-column Geometric Proofs? Agenda

2-5 Algebraic Proof Warm Up Lesson Presentation Lesson Quiz

Simplifying Algebraic Expressions

Chapter 2: Geometric Reasoning

Reasoning With Properties of Algebra

Geometry/Trig Name __________________________

2-5 Algebraic Proof.

Chapter 2.5 Reasoning in Algebra and Geometry

Multiplying and Factoring

Simplifying Expressions

Evaluating expressions and Properties of operations

3.3 Proofs with parallel lines

2-5 Algebraic Proof Warm Up Lesson Presentation Lesson Quiz

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.

Lesson 24 Algebraic Proofs.

Chapter 5 Congruent Triangles.

Learn to combine like terms in an expression.

Warm Up Simplify 3(x + 2) -2(2y + 3) -4(-3p + 4) 3(-5z – 1)

7-2 Two Proof Oriented Triangle Theorems

Chapter 4 Congruent Triangles.

2-5 Algebraic Proof Geometry.

Using the Distributive Property to Simplify Algebraic Expressions

Algebra 1 O.T.Q. Simplify each expression by combining like terms.

Algebra with Fractions 2

Presentation transcript:

Algebraic Proofs

1.X + 5 = X = 14 1.Given 2.- Prop. = 3.Simplify Statement Reason

1.1 = x – = x 1.Given 2.+ Prop = 3.Simplify Statement Reason

1.x ÷ 7 = 6 2. x 7 x 7 3. x = 42 1.Given 2.x Prop. = 3.Simplify Statement Reason

1.5x + 4 = x = 35 4.÷5 ÷5 5.x = 7 1.Given 2.- Prop = 3.Simplify 4.÷ Prop = 5.Simplify Statement Reason

1.2x – 6 = x = 30 4.÷2 ÷2 5.x = 15 1.Given 2.+ Prop = 3.Simplify 4.÷ Prop = 5.Simplify Statement Reason

1.7(4x – 10) = x – 70 = x = 84 5.÷28 ÷28 6.x = 3 1.Given 2.Distributive Prop 3.+ Prop = 4.Simplify 5.÷ Prop = 6.Simplify Statement Reason

Exit Slip 1.5x + 5 = Given Statement Reason