College Algebra Section 1.2.  Algebraic Expressions – variables and constants combined by mathematical operations  Constants – fixed numbers  Variables.

Slides:

Advertisements

Similar presentations

Adding and Subtracting Polynomials Whats a polynomial?

Advertisements

7.1Variable Notation.

Algebra: Variables and Expressions variable A variable is a letter or symbol that represents an unknown quantity (a number). ALGEBRA. The branch of mathematics.

HAWKES LEARNING SYSTEMS math courseware specialists Copyright © 2010 Hawkes Learning Systems. All rights reserved. Hawkes Learning Systems: College Algebra.

 It is the numerical factor that contains a variable.  In other words, it is a number in a math sentence that has a letter right by it.

Simplifying Expressions and Combining Like Terms

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

Algebra By : Monte. Term The number or an Expression that are added in a sum.

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

Notes: Monday, January 10 th Algebraic Expressions.

Thinking Mathematically

Simplifying Expressions. The Commutative and Associative Properties of Addition and Multiplication allow you to rearrange an expression to simplify it.

EXPRESSIONS. Vocabulary A variable is a symbol, usually a letter, used to represent a number. –Example: 4x (x is the variable) A coefficient is the number.

Variables and Algebraic Expressions 1-3. Vocabulary Variable- a letter represents a number that can vary. Constant- a number that does not change. Algebraic.

Evaluate expressions by using order of operations.

Exponents and Order of Operations. Exponents The exponent (little number) indicates how many times the base (big number) appears as a factor.

3. 4. EOC Practice:. 5. Combining Like Terms & Distributive Property.

Holt Algebra Simplifying Expressions Use the Commutative, Associative, and Distributive Properties to simplify expressions. Combine like terms. Objectives.

Adding and Subtracting Expressions

Solving One-Step Equations. Word List variable term expression coefficient equation algebra.

Copyright © 2010 Pearson Education, Inc. All rights reserved Sec

XEI 303: Combine like terms (e.g., 2x + 5x) XEI 601: Manipulate expressions and equations.

Unit 2 Expressions and Equations Combine like terms.

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

6 th grade Math Vocabulary Word, Definition, Model Emery UNIT 2.

1.7 Simplifying Expressions Essential Questions: 1)What is the distributive property? 2)How do you simplify expressions?

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

§ 2.2 The Multiplication Property of Equality. Blitzer, Introductory Algebra, 5e – Slide #2 Section 2.2 Properties of Equality PropertyDefinition Addition.

SECTION 2.6 ADDING AND SUBTRACTING EXPRESSIONS OBJECTIVES: USE THE DISTRIBUTIVE PROPERTY TO COMBINE LIKE TERMS AND SIMPLIFY EXPRESSIONS WITH SEVERAL VARIABLES.

Variables and Like Terms Section Variables  A variable holds a place for a number.  Any letter can be used.  x+6  3-7y  2t-3s+6r 2.

7.2 Properties of Rational Exponents Do properties of exponents work for roots? What form must they be in? How do you know when a radical is in simplest.

Addition, Subtraction, and Multiplication of Polynomials

Appendix A Basic Algebra Review

2 Chapter Chapter 2 Integers and Introduction to Variables.

Lesson Objectives Perform mathematical operations in scientific notation.

The number of times a number or expression (called a base) is used as a factor of repeated multiplication. Also called the power. 5⁴= 5 X 5 X 5 X 5 = 625.

Algebraic Expressions

2-4 The Distributive Property

Introduction to Algebra

Goal: Simplify expressions with like terms

Warm-up September 14, 2017 Change to a decimal: 87% 7%

Exponents, Polynomials, and Polynomial Functions

Introduction to Algebra

6.1 Algebraic Expressions & Formulas

Unit 2 Expressions and Equations

Unit 2 Expressions and Equations

Objectives Combining like terms..

Objectives Combining like terms..

Algebra Stop Being Scared!!!.

Chapter 2: Rational Numbers

Algebraic Expressions

Evaluating Algebraic Expressions

A mathematical phase containing numbers.

Algebra: Variables and Expressions

A mathematical phase containing numbers.

Algebraic Expressions

Learn to combine like terms in an expression.

Simplifying Algebraic Expressions

Algebraic Expression A number sentence without an equal sign. It will have at least two terms and one operations.

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

Algebra 1 Section 2.3.

Terms that have exactly the same variable factors Like Terms Terms that have exactly the same variable factors 45x^2 & x^2 2s & 9m -8z.

Numerical Expression A numerical expression is a string of numbers and operational signs that names a number.

Learn to identify and evaluate expressions.

Evaluating Algebraic Expressions

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

Simplify Algebraic Expressions

Algebraic Expressions & Solving Equations

Using the Distributive Property to Simplify Algebraic Expressions

Presentation transcript:

College Algebra Section 1.2

 Algebraic Expressions – variables and constants combined by mathematical operations  Constants – fixed numbers  Variables – letters that represent unspecified numbers  Terms – pieces of the expression joined by addition/subtraction  Factors – pieces joined by multiplication  Coefficients – the constant (number) part of a term  Variable factor – the variable (letter) part of a term

 Identify the Property shown

 Identify the property shown and the quantity being added or subtracted

 Parentheses/brackets/groupi ngs  Exponents/powers  Multiplication/Division in order from left to right  Addition/Subtraction in order from left to right

 UNION ~  Everything in A combined with everything in B  INTERSECTION ~  Everything that is included in BOTH A and B

 (-5, 2] U (2, 4]  [-2, ∞) (-4, 7) (-3, 2]