Chapter 1 – Expressions, Equations, and Functions Algebra I A - Meeting 1 Evaluate Algebraic Expressions 721/3Division21 divided by d21/d 155(3)Multiplication5.

Slides:



Advertisements
Similar presentations
Lesson 1-1 Algebra Check Skills You’ll Need 1-5
Advertisements

Homework Answers (1-2 Worksheet)
Algebraic Expressions. Definitions Variable – A variable is a letter or symbol that represents a number (unknown quantity). 8 + n = 12.
Do Now 9/7/10 Copy HW in your planner.  Text p. 5-7, #4-52 multiples of 4 In your journal, answer the following question. How do you evaluate algebraic.
Solving Quadratics by Completing the Square, continued Holt Chapter 5 Section 4.
Students will make Connections to Algebra  Variable:  A letter used to represent a range of numbers.
1.2 Algebraic Expressions 8/23/13
Orders of Operations Section 1.6. Objective Perform any combination of operations on whole numbers.
Algebra 1 Chapter 1.
12/2/14 Warm up Evaluating Algebraic Expressions Large to small = multiply 1 ton (T) = 2,000 pounds  B. ¾ T = pounds (lb ) 
1-1 Variables and Expressions Algebra One CP2 Chapter 1.
Variables and Expressions
Chapter 1-1 Variables and Expressions In this section you will learn how to,  Write mathematical expressions given verbal expressions  And how to write.
Algebraic Expressions Unit 1-1. Key Words:  Algebraic Expression: An expression that contains at least one variable. Ex. 2x 3x 2 + 3y – 5  Like Terms:
Transparency 4 Click the mouse button or press the Space Bar to display the answers.
Patterns Algebraic Expressions Equations Algebraic Expressions 2 Misc
1.2 Algebraic Expressions 8/24/12. Vocabulary Variable: A letter used to represent one or more numbers Exponent: The number or variable that represents.
Chapter 1: The Language of Algebra You will learn: To use variables to represent unknown quantities Words to Learn: Variables: letters used to ______________.
Evaluating a Variable Expression To evaluate a variable expression:
Notes: Monday, January 10 th Algebraic Expressions.
Order of Operations - rules for arithmetic and algebra that describe what sequence to follow to evaluate an expression involving more than one operation.
Bell Work – November 3, Simplify: – What is the y-intercept of the line represented by y = ½ x + 4? 3. Divide: ½ ÷ ¾.
Variables and Algebraic Expressions 1-3. Vocabulary Variable- a letter represents a number that can vary. Constant- a number that does not change. Algebraic.
Lesson 1-6/ 1-7 Writing Algebraic Expressions. To evaluate an expression, substitute a number for a variable Example 1: Evaluate 3n + 7 when n = 3.
Today – Thursday, September 5, 2012  Warm Up: Complete the table  Learning Goal: You will evaluate algebraic expressions and use exponents  Independent.
MM150 Unit 3 Seminar Agenda Seminar Topics Order of Operations Linear Equations in One Variable Formulas Applications of Linear Equations.
1-2 Order of Operations and Evaluating Expressions.
Holt Algebra Solving Linear Equations and Inequalities Section 2.1 Solving Linear Equations and Inequalities.
By looking at a graph, name the three types of solutions that you can have in a system of equations. Groupwork graded Groupwork worksheet 1-14 Work on.
Substituting into expressions.
Warm Up Simplify.  3   15  (9 + 2)  7  5
1-9 Simplifying Algebraic Expressions. Essential Question  What properties and conventions do I need to understand in order to simplify and evaluate.
Write as an Algebraic Expression The product of a number and 6 added to a.
Unit 1 – First-Degree Equations and Inequalities
$100 $200 $300 $400 $100 $200 $300 $400 $300 $200 $100 Writing variable equations Find variables in addition equations Find variables in subtraction.
3 + 6a The product of a number and 6 added to 3
2-1 Variables and Expressions Course 1 Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day 2-1 Variables and Expressions Course.
Chapter 1: Real Numbers and Equations Section 1.3: Variables and Expressions.
Do Now 9/20/12 Take out HW from last night. Take out HW from last night. Text p. 28, #8-24 evens, #17, 35, & 36 Text p. 28, #8-24 evens, #17, 35, & 36.
Algebra 1 Shelby Ferreira. Group Activity Half a number plus 5 is 11.What is the number? Explain your reasoning and create an equation that represents.
AIMS Math Prep Jan 9-20 Evaluating expressions, simplifying expressions, compound interest formula.
6 th grade Math Vocabulary Word, Definition, Model Emery UNIT 2.
Combining Like Terms and the Distributive Property Objectives: Students will be able to explain the difference between algebraic equations and expressions.
Vocabulary Variable Constant Algebraic Expression Evaluate.
1.3 Algebraic Expressions and Terms
1.4 Solving Equations.
6) x + 2y = 2 x – 4y = 14.
2 Chapter Chapter 2 Integers and Introduction to Variables.
1-1 Variables and expressions
WARM UP Page 9 “Check Skills You’ll Need” # 1 – 12.
Ch. 6: Equations and Inequalities
Tools for Algebra Vocabulary
Math Talk What is 45+78?.
ORDER OF OPERATIONS BEMDAS. 1. Brackets - ( ) or [ ]
6.1 Algebraic Expressions & Formulas
Write your agenda message No warm-up today Turn in:
Algebra: Equations and Inequalities
You replace it with its simplest name
A mathematical phase containing numbers.
Solving Multiplication Equations
A mathematical phase containing numbers.
Section 6.1 Order of Operations
Section 6.1 Order of Operations
Multiplication with Subtraction
Do Now Simplify. 1. 5(7) – (18 – 11)  (40 – 35) (12 – 4)
Solving Equations.
Learn to identify and evaluate expressions.
Do Now Evaluate each algebraic expression for y = 3. 3y + y y
1.3 Algebraic Expressions
Evaluating Expressions
Presentation transcript:

Chapter 1 – Expressions, Equations, and Functions Algebra I A - Meeting 1 Evaluate Algebraic Expressions 721/3Division21 divided by d21/d 155(3)Multiplication5 times c5(c) 6+3x3(2+x)Distributionf times the quantity (2 plus x)f(2+x) 9(3) 2 or (3)(3) Powerse raised to the power 2(e) 2 58 – 3Subtraction8 minus b8 - b Additiona plus 6a + 6 Answer Substitute 3 for the variable OperationMeaningAlgebraic Expressions Section Evaluate Expressions Variable – is a letter used to represent a number

Chapter 1 – Expressions, Equations, and Functions Algebra I A - Meeting 1 The point total, T is given by n + a, where a is the number of assists. Section Evaluate Expressions WORD PROBLEM Jen was the leading scorer on her soccer team. She scored 120 goals and had 20 assists in her high school career. The number n of points awarded for goals is given by 2g, where g is the number of goals scored. a) How many points did Jen earn for goals? n = 2 g n = 2 (120) n = 240 points a) How many total points did Jen for the season? T = n + a T = T = 260 points

Chapter 1 – Expressions, Equations, and Functions Algebra I A - Meeting 1 Section 1.2 – Apply Order of Operations 35 – 2 * 3 2 Class Example # 1: Evaluate the expression 35 - X X = 2 * 3 2 X = 2 * 9 X = Substitution X for 2 * 3 2 Evaluate for X Evaluate the exponent Multiply the constant Subtract the known X Answer Allowing for Subtraction Substitute back in for X 35 – 2 * 3 2 = 17

Chapter 1 – Expressions, Equations, and Functions Algebra I A - Meeting 1 Section 1.2 – Apply Order of Operations 3(8 – 2 2 ) + 17 Class Example # 2: Evaluate the expression Y + 17 Y = 3(8 – 2 2 ) Z = 8 – 2 2 Z = 8 – 4 Z = 4 Y = 3(4) Substitute Y for 3(8 – 2 2 ) Evaluate for Y Substitute Z for (8 – 2 2 ) Evaluate the exponent Substitute back in for Z Distribute (Multiply) Subtract 3(8 – 2 2 ) + 17 = 29 Evaluate for Z Y = 3(Z) Evaluate for Y Y = 12 Substitute back in for Y Evaluate = 29

Chapter 1 – Expressions, Equations, and Functions Algebra I A - Meeting 1 Section 1.2 – Apply Order of Operations Substitute X for 2 [ 54 / ( ) ] Class Example # 3: Evaluate the expression X = 2[Y] Y = [54 / Z] Evaluate for Z Z = R – X Evaluate for X Evaluate for R Substitute R for – 2 [ 54 / ( ) ] = 2 Evaluate for Y 8 – 2 [ 54 / ( ) ] Substitute Y for [54 / ( ) ] X = 2 [ 54 / ( ) ] Y = [ 54 / ( ) ] Substitute Z for ( ) Z = R = 4 2 R = 16 Z = Z = 18 Y = [54 / 18] Y = 3 X = 2[3] X = 6 Substitute the variable(s) back into the previous expression(s)

Chapter 1 – Expressions, Equations, and Functions Algebra I A - Meeting 1 Lean body mass is measured in units called BMI (Body Mass Index) units Section 1.2 – Apply Order of Operations Graphing Calculator Exercise Lean body mass is the mass of the skeleton, muscle and organs. Physicians use lean body mass to determine dosages of medicine. Scientists have developed separate formulas for the lean body masses of men and women based on their mass m (in kilograms) and height (in meters). Men : a) Find the lean body mass (in BMI units) of a Matt, who is 1.8 meters tall and has a mass of 80 kilograms? BMI of Matt = 62.7 BMI units Women : b) Find the lean body mass (in BMI units) of a Kristen, who is 1.5 meters tall and has a mass of 70 kilograms? BMI of Kristen = 42.7 BMI units c) Find the following Celebrities BMI ?

Chapter 1 – Expressions, Equations, and Functions Algebra I A - Meeting 1 Celebrity Body Mass Index Oprah Winfrey Barack Obama Miley Cyrus Michael Phelps Shaquille O’Neal Paris Hilton Ranking Body Mass IndexWeight (kilograms) Height (meters) Celebrity Section 1.2 – Apply Order of Operations

Chapter 1 – Expressions, Equations, and Functions Algebra I A - Meeting 1 Homework # 1 pg 5 # 3-51 multiples of 3 (Hint: 3,6,9,12,15,18,…,48,51) pg 10 # 4-36 multiples of 4 (Hint: 4,8,12,16,20,24,28,32,36) Section 1.1 & 1.2