Associative Property of addition Commutative Property of addition

Slides:

Advertisements

Similar presentations

Section 1.1 Part II Properties of Numbers, Equality, and Inequality.

Advertisements

Distributive Property

Properties of Real Numbers

Solve an absolute value inequality

3-6 Compound Inequalities

EXAMPLE 1 Solve absolute value inequalities

Solve a compound inequality with and

Inequalities work the same way as equations. The difference is the number of solutions.

Presents Section 1.3 Inequalities and Absolute Value MB1 Track This section is prepared by M. Zalzali.

PROPERTIES REVIEW!. MULTIPLICATION PROPERTY OF EQUALITY.

Unit 6 vocabulary Test over words next week, it will benefit you to study and understand what there words mean.

Example 3 Using Mixed Numbers in Real Life A corn snake that is inches long grows to a length of inches. How much does it grow? BIOLOGY

September 10, 2012 Properties and Integers Warm-up: Order of Operations 1. Simplify (3 – 5) – 4  (Optional) Challenge: Your objective is.

Notes Over 6.3 Writing Compound Inequalities Write an inequality that represents the statement and graph the inequality. l l l l l l l

Pre-Calculus Lesson 7: Solving Inequalities Linear inequalities, compound inequalities, absolute value inequalities, interval notation.

Commutative Properties The Commutative Property is when a change in the order of the numbers does not change the answer. For example, addition would be:

Lesson 1-3 Example What number goes in the blank to make (7 + 5) + 4 = ___ + (14 – 2) a true equation? Step 1 The expressions inside the parentheses.

Section 2.7 Solving Inequalities. Objectives Determine whether a number is a solution of an inequality Graph solution sets and use interval notation Solve.

Warm Up 1. To which subgroups of the real numbers does each of the following belong? a. 8 b. -6 c ….. 2. Use an inequality to compare.

1.6 The Commutative and Associative Properties Objective The student will be able to: recognize and use the commutative and associative properties and.

Objective The student will be able to: recognize and use the commutative and associative properties and the properties of equality.

Copyright © 2010 Pearson Education, Inc. All rights reserved. 1.7 – Slide 1.

Objective The student will be able to: recognize and use the commutative and associative properties and the properties of equality. SOL: A.4b Designed.

Inequalities and their Graphs Objective: To write and graph simple inequalities with one variable.

SOLVE ABSOLUTE VALUE INEQUALITIES January 21, 2014 Pages

Section 7Chapter 2. Copyright © 2012, 2008, 2004 Pearson Education, Inc. 1 Objectives Absolute Value Equations and Inequalities Use the distance.

September 11, 2012 Properties and Integers Warm-up: Order of Operations 1.Simplify (3 – 5) – 4  Challenge: Your objective is to use the digits.

1.5 Solving Inequalities. Write each inequality using interval notation, and illustrate each inequality using the real number line.

Copyright 2013, 2009, 2005, 2002 Pearson, Education, Inc.

Solving Inequalities and their Graphs

Properties Problem. Fill in the blanks with the correct property 1. 4x + 5(-3 + 7x) = 24Given 2. 4x – x = 24___________________ 3. 4x + 35x – 15.

Multi-Step Equations We must simplify each expression on the equal sign to look like a one, two, three step equation.

1.2 Properties of Real Numbers Activity

Martin-Gay, Beginning Algebra, 5ed Add 10 to both sides Subtract 5 from both sides Multiple both sides by 2 Multiple both sides by  2 Divide both.

Intro to Inequalities Unit 4 Section 4.1. Definition A statement that a mathematical expression is greater than or less than another expression.

Chapter 1.8 Absolute Value and Inequalities. Recall from Chapter R that the absolute value of a number a, written |a|, gives the distance from a to 0.

Simplify Radical Expressions Using Properties of Radicals.

Objective- To justify the step in solving a math problem using the correct property Distributive Property a(b + c) = ab + ac or a(b - c) = ab - ac Order.

Chapter 2 Test Review White Board Practice 1- point extra credit for every correct answer!

1.1 Real Numbers and the Coordinate Plane HW: Pg. 11# 1 – 14 (for 5 – 10 write them in interval notation as well) Pg. 21 # 7 – 10 Finish Sets of Numbers.

Review of Equations and Inequalities An equation is a mathematical statement that two qualities are equal. Linear Equation in one variable can be written.

Inequality Notation.

§ 1.2 Symbols and Sets of Numbers. Martin-Gay, Beginning and Intermediate Algebra, 4ed 22 Set of Numbers Natural numbers – {1, 2, 3, 4, 5, 6...} Whole.

Copyright © 2011 Pearson Education, Inc.

Objective The student will be able to:

Objective The student will be able to:

Distributive Property

Inequality Set Notation

Equations and Inequalities involving Absolute Value

WARM UP If a triangle has equal sides of 10, what is the perimeter of the triangle? If a square has equal sides of 7, what is the perimeter of the square?

Let {image} Use substitution to determine which elements of S satisfy the inequality {image} Select the correct answer(s): {image}

Equations and Inequalities

Commutative and Associative Properties

True or False: {image} is one-to-one function.

1.5 Linear Inequalities.

Find the reference angle for the angle measuring {image}

Simplify the expression: {image} Select the correct answer.

Solve Absolute Value Equations

2.5 Absolute Value Equations and Inequalities

Copyright © Cengage Learning. All rights reserved.

Notes Over 1.7 Solving Inequalities

2 Equations, Inequalities, and Applications.

Notes Over 1.7 Solving Inequalities

Solving Absolute Value Equations and Inequalities

Objective The student will be able to:

Properties of Addition and Multiplication

Objective The student will be able to:

Inequalities x > a Means x is greater than a

Given that {image} {image} Evaluate the limit: {image} Choose the correct answer from the following:

Presentation transcript:

Associative Property of addition Commutative Property of addition What is the property of real numbers being used in the equality ( 6 x + 4 y ) + 8 z = 6 x + ( 4 y + 8 z ) ? Select the correct answer. Associative Property of addition Commutative Property of addition Distributive Property 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

Use properties of real numbers to write the expression {image} without parentheses. Select the correct answer. 12ax - 15ay + 9az 12ax + 9ay - 15az 15ax - 12ay - 9az 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

Write the statement “a is greater than or equal to 8” as an inequality Write the statement “a is greater than or equal to 8” as an inequality. Select the correct answer. 1. 2. {image} 3. 4. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

Express the interval {image} as an inequality Express the interval {image} as an inequality. Select the correct answer. 1 < x < 10 1 > x 1 > x > 10 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

Find the distance between the numbers -1 and 7 Find the distance between the numbers -1 and 7. Select the correct answer. 8 6 -6 -8 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50