The Distributive Property

Slides:

Advertisements

Similar presentations

Chapter 1 Review In Algebra, we use symbols to stand for various numbers. One type of symbol used is a variable. An expression that contains at least one.

Advertisements

Distributive Property

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)

Algebraic Expressions

1-7 The Distributive Property

Distributive Property

The Distributive Property

Algebraic Expressions Objectives: 1)To evaluate algebraic expressions 2)To simplify algebraic expressions.

Properties of Logarithms: Lesson 53. LESSON OBJECTIVE: 1)Simplify and evaluate expressions using the properties of Logarithms. 2)Solve logarithmic equations.

Definitions of the Day (DODs) 8.8 – Division Properties of Exponents Quotient Simplest Form.

Day Problems Evaluate each expression for 1. a – 2b2. b ÷ c 3. a ÷ c4. -2abc.

Lesson 8.2 Apply Exponent Properties Involving Quotients After today’s lesson, you should be able to use properties of exponents involving quotients to.

Simplifying Algebraic Expressions

1-7 Distributive Property II

7.4 Logarithmic Functions Write equivalent forms for exponential and logarithmic equations. Use the definitions of exponential and logarithmic functions.

Quiz #1 1.7g g c – 8 +5c – 8 3.8x + 9 – 6x – 7 4.3x x - 9.

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

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

Jeopardy Vocabulary Monomial by Trinomial Binomial by Binomial Combining Like Terms Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500.

1.5 The Distributive Property Notice that it does not matter whether a is placed on the right or the left of the expression in the parentheses. The Symmetric.

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

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

The Distributive Property

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

EXAMPLE 1 Find multiplicative inverses of numbers a. The multiplicative inverse of 1 5 – is – 5 because b. The multiplicative inverse of 6 7 – is 7 6 –

1) term 2) like terms 3) equivalent expressions 4) simplest form 5) coefficient The Distributive Property  Use the Distributive Property to evaluate.

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

Operations of Functions Given two functions  and g, then for all values of x for which both  (x) and g (x) are defined, the functions  + g,

10.1 Simplifying Algebraic Expressions

Simplifying Expressions using Distributive Property.

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

Aim: What are the properties of logarithms? Do Now: Rewrite the following exponential form into log form 1.b x = A 2.b y = B HW:p.331 # 16,18,20,22,24,26,28,38,40,42,48,52.

13(4x + 5) 8(14x + 9) 12(22x – 6) 14(2x – 8) Simplify the expression using the distributive property: Evaluate when m = 4, y = 5, a = 2 and b = 7 2m +

Algebra 1 Notes: Lesson 1-5: The Distributive Property

Distributive Property

Apply the Distributive Property

8-4 Properties of Logarithms

2-4 The Distributive Property

Solving Systems using Substitution

Unit 3. Day 1..

Distributive Property

Lesson 2.1 How do you compare positive and negative numbers?

Logarithmic and exponential equations

or write out factors in expanded form.

Write out factors in expanded form.

Simplifying Algebraic Expressions

Zero and Negative Exponents

Division Properties of Exponents

The Distributive Property

Evaluating Expressions

Evaluating expressions and Properties of operations

Warm Up – Write an algebraic expression for each example

Use powers and exponents in expressions.

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.)

Lesson 2.2 The Distributive Property

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

Chapter 2: Solving One-step Equations and Inequalities

Goal: The learner will find equivalent fractions.

Rewriting Equations Equivalent Equations.

Expressions & Equations Jeopardy

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

Distributive Property

Logarithmic and exponential equations

Distributive Property

Chapter 3-2 Simplifying Algebraic Expressions

TLW use the distributive property to simplify expressions

Properties and Algebraic Expressions

Distributive Property

Presentation transcript:

The Distributive Property Lesson 1-5 The Distributive Property

Distributive Property-

Examples Rewrite using the Distributive Property. Then evaluate each step. 1. 5(7 + 2) 2. (16 – 7)3

Rewrite each product using the Distributive Property. Then simplify. 4. 4( y2 + 8y +2)

Definitions Term- A number, variable, or a product or a quotient of numbers and variables. Like terms- Terms that contain the same variables, with corresponding variables having the same power. Equivalent Expressions- when two expressions denote the same number. Ex. 5n + 7n = 12n Simplest Form- An expression that has been replaced by an equivalent expression having no like terms or parenthesis.

Simplify each expression. 5. 17a + 21a 6. 12b2 – 8b2 + 6b