2.2 Linear Relations and Functions. A. 27 B. 64 C. 9 D. 10.

Slides:



Advertisements
Similar presentations
Volume of Triangular Prism. Volume of a Triangular Prism Length Volume of a prism = Area x length Area of triangle = ½ x base x height.
Advertisements

Jeopardy Graphing Equations Writing Equations Linear or Not? Perpendicular And Parallel Random Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300.
Warm Up 0?1? 2? Graph the linear functions.0?1? 2?
Graphs & Models (P1) September 5th, I. The Graph of an Equation Ex. 1: Sketch the graph of y = (x - 1)
1 Linear Equation Jeopardy SlopeY-int Slope Intercept Form Graphs Solving Linear Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400.
Rectangular Coordinate System
2.5 Linear Equations. Graphing using table Graphing using slope and y-intercept (section 2.4) Graphing using x-intercept and y-intercept (section 2.5)
Equations of lines.
Lesson 1-1 Points and Lines. Objective: To find the intersection of two lines and to find the length and the coordinates of the midpoint of a segment.
Volume of Rectangular Prisms
We will identify linear equations and functions.
Rewrite Formulas and Equations
Agenda Lesson 6-1 – Solving Systems by Graphing Standards 9.0 Solve a system of two linear equations in two variables and interpret the answer graphically.
The volume of the box is 72 cubic centimeters Volume of Rectangular Prisms.
Rectangular Prisms and Cylinders
Algebra 2 Chapter 1.1 Expressions & Formulas Target Goals: 1.Use the order of operations to evaluate expressions 2.Use formulas.
2.2 – Linear Equations. Linear equation 2.2 – Linear Equations Linear equation – equation with only addition,
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 2–1) CCSS Then/Now New Vocabulary Example 1:Identify Linear Functions Example 2:Real-World Example:
Identify Linear Relationships. Linear Relationship – a relationship between two quantities that have a constant rate of change. when graphed it forms.
Chapter 2 Section 2. State whether is a linear function. Explain. Answer: This is a linear function because it is in the form.
Unit 1 – First-Degree Equations and Inequalities
Chapter 2 Examples Section 2 Linear Functions. Objective: Students will identify patterns with linear forms of equations and functions. They will also.
Algebra 2 Chapter 2.2 Linear Relations & Functions Target Goals: 1.Identify linear relations and functions 2.Determine the intercepts of linear equations/functions.
Daily 10. Day 1 1. Given the dimensions of the large and small rectangles, find the area of the shaded region: A. 7x 2 + 6x - 2 B. 7x x + 10 C.
6-1B Solving Linear Systems by Graphing Warm-up (IN) Learning Objective: to solve a system of 2 linear equations graphically Given the equations: 1.Which.
Find the x and y intercepts of each graph. Then write the equation of the line. x-intercept: y-intercept: Slope: Equation:
WRITING LINEAR EQUATIONS FINDING THE X-INTERCEPT AND Y- INTERCEPT.
Algebra 2 Graphing Linear Inequalities in Two Variables.
EXAMPLE 1 Identify similar solids Tell whether the given right rectangular prism is similar to the right rectangular prism shown at the right. a. b.
FINDING THE EQUATION OF A LINE 1.KNOWING A POINT AND THE SLOPE 2.KNOWING TWO POINTS.
Over Lesson 2–1 5-Minute Check 1 Determine whether the relation is a function. If it is a function, determine if it is one-to-one, onto, both, or neither.
(409)539-MATH THE MATH ACADEMY (409)539-MATH.
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 2–1) Then/Now New Vocabulary Example 1:Identify Linear Functions Example 2:Real-World Example:
11-3: Direct and Inverse Variation
3-8 Solving Equations and Formulas Objective Students will be able to solve equations for given variables.
5.2 Polynomials, Linear Factors, and Zeros P
Polynomial Functions Characteristics The Remainder Theorem The Factor Theorem Equations and Graphs Math.
XY A.O.S.: Vertex: Max. or Min.? X – Intercepts Y – Intercepts.
Section 6.6 Solving Equations by Factoring. Objective 1: Identify a quadratic equation and write it in standard form. 6.6 Lecture Guide: Solving Equations.
September 17, Objectives Students will be able to: Identify linear equations and functions, Write linear equations in standard form and graph them.
 1. The points whose coordinates are (3,1), (5,-1), and (7,-3) all lie on the same line. What could be the coordinates of another point on that line?
Splash Screen. CCSS Content Standards F.IF.4 For a function that models a relationship between two quantities, interpret key features of graphs and tables.
I can determine when lines are parallel and write equations of parallel lines.
Welcome to Interactive Chalkboard Algebra 2 Interactive Chalkboard Copyright © by The McGraw-Hill Companies, Inc. Send all inquiries to: GLENCOE DIVISION.
Section 1.2 Graphs of Equations In Two Variables; Intercepts; Symmetry.
Warm-Up Determine the coordinates of each point in the graph below. y
Linear Functions and Slope
Warm-Up 1) Determine whether the point (0,3) is a solution to y = 5x minutes 2) Graph y = -2x + 1.
Graphing Linear Equations In Standard Form Ax + By = C.
Graphing Linear Equations In Standard Form Ax + By = C.
SOLVING LINEAR SYSTEMS by GRAPHING ADV133 Put in slope-intercept form: y = mx + b. y = 4x – 1 y = –x + 4 The solution to a system of linear equations is.
Unit 3. Day 10 Practice Graph Using Intercepts.  Find the x-intercept and the y-intercept of the graph of the equation. x + 3y = 15 Question 1:
Solving Systems By Graphing. Warm – Up! 1. What are the 2 forms that equations can be in? 2. Graph the following two lines and give their x-intercept.
Integrated Mathematics. Objectives The student will be able to:: 1. graph linear equations. 2. write equations in point- slope form.
Bellwork Read the Why? On pg. 69 of your text book. Answer the following questions 1.) What does the value of x mean for this situation? 2.) What does.
What do you notice about this new relation? Solve each equation for the given variable. 1. in terms of b 5. in terms of r 3. in terms of m 2. in terms.
Lesson 4-1 Solving linear system of equations by graphing
Aim: How can we identify linear functions and write linear equations
VOLUME OF SOLIDS.
Splash Screen.
VOLUME OF SOLIDS.
9.3 – Graphing Linear Equations
Warm Up – August 15, Does y vary directly with x? If so, what is the constant of variation and the function rule? 2. Determine whether y varies.
Splash Screen.
The relation between the fuel economy and speed of a given car was recorded. What is the fuel economy at 20mph? Problem of the Day f(20) = 15 c)
Constant Rate of Change
Objectives Identify solutions of linear equations in two variables.
Section 1.5 Solving Equations.
Relations and Functions Review
Use Graphs of Functions
Presentation transcript:

2.2 Linear Relations and Functions

A. 27 B. 64 C. 9 D. 10

A n B. 31n C n D. 11n +20

A n B. 31n C n D. 11n +20

A n B. 31n C n D. 11n +20

5.89DANIELLE MINOGUE14.47Eisenhauer Max 7.31Wilson Riley15.52BRADLEY MUGLER 7.81Sobel Autum17.52MATTHEW SCOTT 8.14BLAKE BIALK19.09KARLIE ZINGRONE 8.52ANDREW ALEXANDER 21.58PAIGE CELESTIN 10.42CHRISTINA CAMPBELL 10.75ALEX THOREN 10.86CASSONDRA NELSON 11.33ASHLEIGH MAURO 11.63ELIZABETH KOZICKI

Target Goals: Identify linear relations and functions. Write linear equations in standard form. ACT/PSAE Daily Review 1. By what factor does the volume of a rectangular prism increase if its side lengths are doubled? V = 84 in 3 A.1B. 2 C. 4D. 8E You are building a scale model of the Sears Tower. If your model is 21 centimeters tall using the scale 1 cm: 25 m, what is the actual height of the Sears Tower? A. 475 mB. 482 mC. 525 mD. 546 mE. 560 m

LINEAR RELATIONS – LINEAR EQUATION – Relations that have straight line graphs. mult., +, or – a variable by a constant. Examples of… Linear EquationsandNonlinear Equations

State whether each function is a linear function. Write yes or no and explain your answer.

Ex 4) The linear function can be used to find the number of degrees Fahrenheit f (C) that are equivalent to a given number of degree Celsius C. On the Celsius scale, normal body temperature is 37°C. What is it in degrees Fahrenheit?

STANDARD FORM of a LINEAR EQUATION  Write each equation in standard form. Identify A, B, and C.

Y-INTERCEPT  X-INTERCEPT  The point of intersection of the line and the y axis. (x=0) The point of intersection of the line and the x axis. (y=0) Find the x-intercept and the y-intercept of the graph of the linear equation. Then graph the equation.