Find the total area of the rectangles using two different expressions 5 ft 10 ft+ 4 ft 5 ft.

Slides:

Advertisements

Similar presentations

Distributive Property

Advertisements

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)

 Pg. 15 #37-42, 46-49,53, 55. Learning Target: I will recognize the types of polynomials and multiply them together to get a single polynomials. Learning.

EXAMPLE 1 Apply the distributive property

Distributive Property

The Distributive Property

EXAMPLE 3 Combining Like Terms a. 3x + 4x = (3 + 4)x = 7x b.

Example 1 Finding a Combined Area ARCHITECTURE Two methods can be used to find the total area of the two rectangular rooms. A replica of the Parthenon,

 The Distributive Property states that multiplying a sum by a number gives the same result as multiplying each addend by the number and then adding the.

Materials Reminders. Get out your agenda if you see your name below. You need to come to my room tomorrow. Period 2Period 7.

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

Simplifying Algebraic Expressions Evaluating Algebraic Expressions 3-2 How are expressions simplified by combining like terms? How are expressions simplified.

Warm Up Simplify. 1 3 Course (2x + 6) 3. 6 (x + 2)  8x + 4   + 3x.

8-2 Factoring by GCF Multiplying and Factoring. 8-2 Factoring by GCF Multiplying and Factoring Lesson 9-2 Simplify –2g 2 (3g 3 + 6g – 5). –2g 2 (3g 3.

Simplifying Algebraic Expressions 7-1 Learn to combine like terms in an expression.

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

1.5 The Distributive Property For any numbers a, b, and c, a(b + c) = ab + ac (b + c)a = ba + ca a(b – c)=ab – ac (b – c)a = ba – ca For example: 3(2 +

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

Prerequisite Skills VOCABULARY CHECK Copy and complete the statement. ANSWER 8 5 3x, 7x 1. In the expression 3x x, and are like terms. ?? 2. The.

Simplifying Algebraic Expressions 11-1 Warm Up Simplify  20     

Solving Multi-Step Equations One Step at a Time !!!!!

Generating Equivalent Expressions Sprint Round 2! You have 2 ½ minutes to complete as many problems as possible. We will grade it right afterwards to see.

Simplifying Expressions using Distributive Property.

Math , 1.8 Distributive Property and Simplifying Expressions 1.

Opener (5 + 6) • 2 a + (b + c) + (d • e) 18k x2 + 5x + 4y + 7

2 Understanding Variables and Solving Equations.

Distributive Property

The Distributive Property and Area Models

Warm Ups Preview 12-1 Polynomials 12-2 Simplifying Polynomials

Distributive Property and GCF

Geometric Model for Distributive Property

Combining Like-Terms with Distributive Property

Preview Warm Up California Standards Lesson Presentation.

2-4 The Distributive Property

Warm Up 8/13/09 Simplify – (8 + 3)

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

Write out factors in expanded form.

Unit 3. Day 1..

Simplifying Algebraic Expressions

SIMPLIFY THE EXPRESSION

COMBINING LIKE TERMS & DISTRIBUTIVE PROPERTY

Simplifying Expressions

Objectives Combining like terms..

Objectives Combining like terms..

King of the Mountain.

I can use the generic rectangle to simplify expressions.

Multiplying and Factoring

COMBINING LIKE TERMS.

The Distributive Property

Objective Use multiplication properties of exponents to evaluate and simplify expressions.

Chapter 2: Rational Numbers

} 2x + 2(x + 2) = 36 2x + 2x + 4 = 36 4x + 4 = x =

Combining Like Terms Warm Up Solve 

The Distributive Property

Chapter 3-1 Distributive Property

Starter Challenge 1. Which of the following expressions represents 8 multiplied by a number y? a) 8/y b) 8 + y c) y - 8 d) 8y 2.) 12 + (2 x 6) ÷ 3 3.)

2-5 (Part I) Applying the Distributive Property

ADD exponents or write out factors in expanded form.

Learn to combine like terms in an expression.

Set Up Vocabulary! FRONT BACK 1) Variable 9) Distributive Property

Simplify by combining like terms

Chapter 2: Solving One-step Equations and Inequalities

Use Distributive Property 4(x + 5) -3(7-2x) + 2x (-6x+8)5

Distributive Property

Distributive Property

Warm Up Simplify      20  2 3.

2.2 Simplifying Expressions

Presentation transcript:

Find the total area of the rectangles using two different expressions 5 ft 10 ft+ 4 ft 5 ft

One Way: 5(10) +5(4) 5 ft 10 ft+ 4 ft 5 ft Find the area of each rectangle. 50 ft 2 20 ft 2

5(10) +5(4) = 70 5 ft 14 ft Now put the two rectangles back together. 50 sq ft + 20 sq ft

Second way: 5(10+4) 5(14) = 70ft 2 5 ft ft =14 ft 70 ft 2

Review

Review

Review Or

1) Which of the following expressions shows the distributive property for 5(3 + 7)? C. (5 x 3) + (5 x 7) B. (5 x 3) x (5 x 7) A. (5 + 3) x (5 + 7)

Which of the following expressions shows the distributive property for 3(9 + 4) ? A. (3 x 9) + (3 x 4) B. (3 + 9) + (3 + 4) C. (3 + 9) x (3 + 4)

Which of the following expressions is equivalent to: 2( 3) + 2( 3) B. 2 (3 + 3) A C. 3(2 + 3)

Which of the following expressions is equivalent to: (4 x 3) + (4 x 8) ? C. 4 (3 + 8) B. 8 (3 + 4) A. 3 (4 + 8)

Which of the following expressions is equivalent to: (5 x 9) – (5 x 3) ? C. 9 (3 – 5) B. 5 (9 – 3) A. 3 (9 – 5)

11) Which expression is equivalent to 3(x + 7)? C. 3x + 7 B. x + 21 A. x + 10 D. 3x + 21

12) Which expression is equivalent to 4(x + 5)? C. 4x + 5 B. 4x + 20 A. x + 9 D. 9x

13) Which expression is equivalent to 8(x – 2)? C. 8x – 16 B. 8x – 2 A. 10x D. 8x – 10

Which expression is equivalent to 2(x – 3)? C. 2x – 3 B. 2x – 5 A. 2x – 6 D. 2x – 2

Now we will use the distributive property first, then combine like terms second.

1. Simplify 6(5 + n) – 2n. Distributive Property. Multiply. 6(5 + n) – 2n n – 2n 6(5) + 6(n) – 2n n Combine coefficients 6 – 2 = 4.

2. Simplify 3(c + 7) – c. Distributive Property. Multiply. 3(c + 7) – c 3c + 21 – c 3(c) + 3(7) – c 2c + 21 Combine coefficients 3 – 1 = 2.

3. 4(3x + 6)  7x 4. 6(x + 5) + 3x Simplify. Distributive Property. Multiply. Combine coefficients = 5. 4(3x) + 4(6) – 7x 12x + 24 – 7x 5x + 24 Distributive Property. Multiply. Combine coefficients = 9. 6(x) + 6(5) + 3x 6x x 9x + 30

Make sure to practice because your skills check will be tomorrow!