5-3 Equations as Relations

Slides:

Advertisements

Similar presentations

Objective The student will be able to:

Advertisements

4-4 Equations as Relations

Warm Ups {(2,0) (-1,3) (2,4)} Write as table Write as graph

SOLUTION EXAMPLE 1 A linear system with no solution Show that the linear system has no solution. 3x + 2y = 10 Equation 1 3x + 2y = 2 Equation 2 Graph the.

Step 1: Simplify Both Sides, if possible Distribute Combine like terms Step 2: Move the variable to one side Add or Subtract Like Term Step 3: Solve for.

Math Pacing Graphing Inequalities in Two Variables.

Functions. A function is a relation that has exactly one output for each input.

4.2 Graphing linear equations Objective: Graph a linear equation using a table of values.

Drill #58 Express the relation shown in the table as: 1.A graph 2.a set of ordered pairs 3.mapping then find the 4.Inverse ( I = { } ) 5.Domain ( D = {

4.4 Equations as Relations

Solving Systems Using Elimination

5.2: Solving Systems of Equations using Substitution

Warm Ups {(2,0) (-1,3) (2,4)} 1. Write as table 2. Write as graph 3. Write as map 4. State domain & range 5. State the inverse.

Domain x Range y Domain x Range y Domain x Range y n n n1234n n n0123n n + 5 PW page 14 questions.

Solve Linear Systems by Substitution January 28, 2014 Pages

1. solve equations with variables on both sides. 2. solve equations with either infinite solutions or no solution Objectives The student will be able to:

Solve Linear Systems by Substitution Students will solve systems of linear equations by substitution. Students will do assigned homework. Students will.

1 Math Pacing Graphing Linear Equations. Equations as Relations A linear equation can be written in the standard form of a linear equation: Ax + By =

Graphing Linear Inequalities 6.1 & & 6.2 Students will be able to graph linear inequalities with one variable. Check whether the given number.

Lesson 5-4: Graphing Linear Equations

1.7 Intro to Solving Equations Objective(s): 1.) to determine whether an equation is true, false, or open 2.)to find solutions sets of an equation 3.)to.

4.3 Solving Systems of Linear Inequalities 11/7/12.

Algebra 1 Section 4.2 Graph linear equation using tables The solution to an equation in two variables is a set of ordered pairs that makes it true. Is.

Substitution Method: Solve the linear system. Y = 3x + 2 Equation 1 x + 2y=11 Equation 2.

Objectives The student will be able to:

ALGEBRA 1 CHAPTER 7 LESSON 5 SOLVE SPECIAL TYPES OF LINEAR SYSTEMS.

EQUATION IN TWO VARIABLES:

Solving Equations with Variables on Both Sides

Warm Ups Preview 3-1 Graphing and Writing Inequalities

Equations with variables on both sides Whiteboard practice

Solving Systems of Linear Equations and Inequalities

TYPES OF SOLUTIONS OF LINEAR EQUATIONS

Tables and Relations Review

Objective The student will be able to:

6-2 Solving Systems By Using Substitution

Lesson 5-1 Solving Systems by Graphing

Solve a system of linear equation in two variables

Simplify Expressions 34 A number divided by 3 is 7. n ÷ 3 = 7.

Objectives The student will be able to:

5.1 Solve Systems of Equations by Graphing

Tables and Relations Review

Equations as Relations

Section 1-3 Equations.

0.4 Solving Linear Inequalities

Objective The student will be able to:

Bellwork Determine whether the ordered pairs are solutions of the inequality: 2x-3y>-2 1.) (0,0) 2.) (0,1)

Objectives The student will be able to:

Function - when every x is paired to one y

Objective The student will be able to:

12 Systems of Linear Equations and Inequalities.

Equations with variables on both sides Whiteboard practice

Tables and Relations Review

Objectives Identify solutions of linear equations in two variables.

5.1 Solving Systems of Equations by Graphing

Objective The student will be able to:

Objective The student will be able to:

Tables and Relations Review

Objectives The student will be able to:

Objective The student will be able to:

Objectives The student will be able to:

Objectives The student will be able to:

Objective The student will be able to:

Objective The student will be able to:

RELATIONS & FUNCTIONS CHAPTER 4.

Objective The student will be able to:

Make a table and a graph of the function y = 2x + 4

2-3 Equations With Variables on Both Sides

L3-3 Objective: Students will graph systems of linear inequalities

Sec 6-3-b Learning Objectives The student will be able to:

Solving Equations with Fractions

Presentation transcript:

5-3 Equations as Relations Objective: The students will be able to: determine the range for a given domain graph a solution set for the given domain complete a table for a linear equation and graph the ordered pairs.

Determine whether an ordered pair is a solution to an equation: STEPS Plug in each ordered pair. If solution is true, the ordered pair is a solution. If solution is NOT true, the ordered pair is not a solution.

Determine whether an ordered pair is a solution to an equation: Ex1: 3a + b = 8 a) (4,-4) b) (8,0) c) (2,2) a)3(4) + -4 = 8 12 + -4 = 8 8 = 8 TRUE! b) 3(8) + 0 = 8 24 + 0 = 8 24 = 8 FALSE!! c) 3(2) + 2 = 8 6 + 2 = 8 8 = 8 TRUE!

Your turn: Which is a solution to 2x – y = 5? (2, 1) (3, 2) (4, 3) (5, 4) Answer Now

Solve the following equation for y: 2x + y = 4 Subtract 2x from both sides Simplify. Write the equation with the variable first. -2x -2x y = -2x + 4

Solve the following equation for y: 4x + 5y = 7 -4x -4x 5y = -4x+ 7 5 5 y = -4x + 7 5 Subtract 4x from both sides Simplify. Write the equation with the variable first. Divide both sides by -5 Does the fraction simplify?

Your Turn: Solve the following equation for y: 6x – 2y = 8 Answer Now

Solve each equation for the given domain values Solve each equation for the given domain values. Then graph the solution set. STEPS Plug in each value. Solve for y. Enter values into table

Solve each equation for the given domain values Solve each equation for the given domain values. Then graph the solution set. Ex 1) y = 4x If the domain is {-3, -2, 0, 1, 2} Domain 4x Range Ordered Pair -3 4(-3) -12 (-3,-12) -2 4(-2) -8 (-2,-8) 0 4(0) 0 (0,0) 4(1) 4 (1,4) 4(2) 8 (2,8)

Graph the solutions: (-3, -12) (-2,-8) (0,0) (1,4) (2,8) (except this one) (-2,-8) (0,0) (1,4) (2,8)

Homework: p. 274 # 8- 30 evens