Equivalent Expressions 6.7. Term When addition or subtraction signs separate an algebraic expression in to parts, each part is called a term.

Slides:

Advertisements

Similar presentations

WARM UP  Use the Distributive Property to rewrite the expression without parentheses. 1. 5(y - 2) 2. -2(x - 6) 3. -1(1 + s) 4. -2(2 + t) 5. -3(x – 4)

Advertisements

Bell Work Simplify the expression: 1. 2(x +4) 2. 4x + 3y – x + 2y 3. 3(x – 6) x Answers: 2x+ 8 3x + 5y 11x – 14.

Algebraic Expressions and Formulas

EXAMPLE 1 Apply the distributive property

Distributive Property

In this lesson, you will be shown how to combine like terms along with using the distributive property.

The Distributive Property

The Distributive Property Purpose: To use the distributive property Outcome: To simplify algebraic expressions.

Simplifying Expressions and Combining Like Terms

Big Ideas Ch 3 Expression and Equations

1.2 – Evaluate and Simplify Algebraic Expressions A numerical expression consists of numbers, operations, and grouping symbols. An expression formed by.

Simplifying Algebraic Expressions Distribution and Like Terms Section 5.5.

PO D Use mental math to solve: basicadvanced 8 × 34 8(30) + 8(4) × 231 7(200) + 7(30) + 7(1)

 A coefficient is the number part of a term that includes a variable.  Example: 2x  2 is the coefficient  x is the variable.

Use the Distributive Property to: 1) simplify expressions 2) Solve equations.

Chapter 3 Lesson 2 Simplifying Algebraic Expressions pgs What you will learn: Use the Distributive Property to simplify algebraic expressions.

Simplifying Algebraic Expressions

Bell Work – November 3, Simplify: – What is the y-intercept of the line represented by y = ½ x + 4? 3. Divide: ½ ÷ ¾.

The Distributive Property 1-5 Objective: Students will use the Distributive Property to evaluate expressions and to simplify expressions. S. Calahan 2008.

Adding and Subtracting Expressions

Simplifying Algebraic Expressions

DISTRIBUTIVE PROPERTY. When no addition or subtraction sign separates a constant or variable next to a parentheses, it implies multiplication.

Combining Like Terms and the Distributive Property.

Distributive Property and combining like terms.. Use the Distributive Property to simplify each expression. 1. 8(m + 5) = (3x + 9) = –2(4.

2-2 The Distributive Property Distributive Property of Multiplication over Addition : Ex. 3(2+6) Multiplication Addition You can distribute a factor to.

The Distributive Property PreAlgebra Farris 2015.

10.1 Simplifying Algebraic Expressions

3-2 Simplifying Algebraic Expressions How can you use algebra tiles to simplify algebraic expressions?

Expanding Algebraic Expressions Section 7-1 in Digits.

Combining Like Terms and the Distributive Property Objectives: Students will be able to explain the difference between algebraic equations and expressions.

 To evaluate algebraic expressions  To simplify algebraic expressions Algebra 2 Foundations, pg 18.

Lesson 3-2 Pages Simplifying Algebraic Expressions Lesson Check 3-1.

MTH 091 Sections 3.1 and 9.2 Simplifying Algebraic Expressions.

POD #6 b= 5, c= 3, d=7 basicadvanced b + 4c × d (b 2 × ) ÷ (4c) 5 + 4(3) × × (5 2 × ) ÷ (4 × 3) (25 × ) ÷ (4 × 3)

Combine Like Terms and Distributive Property. IN THIS LESSON, YOU WILL BE SHOWN HOW TO COMBINE LIKE TERMS ALONG WITH USING THE DISTRIBUTIVE PROPERTY.

Combine Like Terms and Distributive Property Mrs. Lovelace January 2016 Edited from… mrstallingsmath.edublogs.org.

Combine Like Terms and Distributive Property

Distributive Property

Adding and Subtracting Radical Expressions

Santa Rosa Junior College

The Distributive Property

1.4 Basic Rules of Algebra.

2-4 The Distributive Property

1-6 Combining Like Terms Learn to combine like terms in an expression.

Goal: Simplify expressions with like terms

3.1 Simplifying Algebraic Expressions

Combine Like Terms and Distributive Property

Distributive Property

1-7: The Distributive Property

Simplifying Algebraic Expressions

SIMPLIFY THE EXPRESSION

Objectives Combining like terms..

Objectives Combining like terms..

Chapter 2: Rational Numbers

Evaluating expressions and Properties of operations

The Distributive Property

Simplifying Expressions

2-5 (Part I) Applying the Distributive Property

Learn to combine like terms in an expression.

2.7 The Distributive Property

Simplify by combining like terms

Algebra 1 Section 2.3.

Do Now Evaluate each algebraic expression for y = 3. 3y + y y

Simplifying Expressions

Distributive Property

Simplifying Algebraic Expressions

Distributive Property

Chapter 3-2 Simplifying Algebraic Expressions

Warm Up Simplify      20  2 3.

Ch 1, L7 Part 2 Students will be able to use the Distributive Property to simplify expressions. You can use the Distributive Property and mental math to.

Presentation transcript:

Equivalent Expressions 6.7

Term When addition or subtraction signs separate an algebraic expression in to parts, each part is called a term.

Coefficient The numerical factor of a term that contains a variable is called the coefficient

Constant A term without a variable is called a constant

Like terms Like terms are terms that contain the same variables.

3x x

Simplify Expressions with One variable To simplify an algebraic expression use properties to write an equivalent expression that has no like terms and no parentheses.

Example:

Got it?

Simplify Expressions with two variables Properties can be used to simplify or to factor expressions with two variables. Compare the effects or operations on numbers to the effects of operations on variables.

Examples: Simplify the expression (14y + x) + 22y

Simplify 4(2x + y) using the Distributive Property.

Factor 27x + 18y

Got it?