Download presentation

Presentation is loading. Please wait.

Published byMateo Croasdale Modified over 3 years ago

1
Do Now 1/6/10 Take out HW from last night. –Text p. 401, #4-20 multiples of 4 & #22, 26, & 28 Copy HW in your planner. –Text p. 409, #4-52 multiples of 4. –Chapter 6 Test Friday In your notebook, explain how to graph the following line; y = 4x – 3 In your notebook, explain how to graph the following line; y = 4x – 3

2
Homework Text p. 401, #4-20 multiples of 4; #22, 26, & 28 4) y ≤ -3 or y ≥ 3 8) j ≤ -1¾ or y ≥ 1¾ 12) 3 < s < 4 16) s 13½ 20) f ≤ -12 or y ≥ 9 22) AND is for, ≥ 26) |2x + 7| ≥ 15; x ≤ -11 or x ≥ 4 28) 4|x – 9| < 8; 7 < x < 11

3
Objective SWBAT graph linear equations and linear inequalities in two variables

4
Section 6.7 “Graph Linear Inequalities” Section 6.7 “Graph Linear Inequalities” Linear Inequalities- the result of replacing the = sign the result of replacing the = sign in a linear equation with an inequality sign.

5
Linear Inequalities An example of a linear inequality in two variables is x - 3y ≤ 6. The solution of an inequality in two variables, x and y, is an ordered pair (x, y) that produces a true statement when substituted into the inequality. Which ordered pair is NOT a solution of x - 3y ≤ 6? A. (0,0) B. (6,-1) C. (10, 3) D. (-1,2) x - 3y ≤ 6 Substitute each point into the inequality. If the statement is true then it is a solution. (0) – 3(0) ≤ 6 True, therefore (0,0) is a solution.

6
The graph of an inequality in two variables is the set of points that represent all solutions of the inequality. The BOUNDARY LINE of a linear inequality divides the coordinate plane into two HALF-PLANES. Only one half-plane contains the points that represent the solutions to the inequality. Graph an Inequality in Two Variables

7
Graphing Linear Inequalities Graphing Boundary Lines: –Use a dashed line for. –Use a solid line for ≤ or ≥.

8
Graph an Inequality Graph the equation STEP 1 Graph the inequality y > 4x - 3. STEP 2 Test (0,0) in the original inequality. STEP 3 Shade the half-plane that contains the point (0,0), because (0,0) is a solution to the inequality.

9
Graph an Inequality Graph the equation STEP 1 Graph the inequality. Graph the inequality x + 2y ≤ 0. STEP 2 Test (1,0) in the original inequality. STEP 3 Shade the half-plane that does not contain the point (1,0), because (1,0) is not a solution to the inequality.

10
Graph an Inequality Graph the equation STEP 1 Graph the inequality. Graph the inequality x + 3y ≥ -1. STEP 2 Test (1,0) in the original inequality. STEP 3 Shade the half-plane that contains the point (1,0), because (1,0) is a solution to the inequality.

11
Graph an Inequality Graph the equation STEP 1 Graph the inequality. Graph the inequality y ≥ -3. STEP 2 Test (2,0) in the original inequality. Use only the y- coordinate, because the inequality does not have a x-variable. STEP 3 Shade the half-plane that contains the point (2,0), because (2,0) is a solution to the inequality.

12
Graph an Inequality Graph the equation STEP 1 Graph the inequality x. Graph the inequality x ≤ -1. STEP 2 Test (3,0) in the original inequality. Use only the y- coordinate, because the inequality does not have a x-variable. STEP 3 Shade the half-plane that does not contain the point (3,0), because (3,0) is not a solution to the inequality.

13
Challenge “Can You Write and Graph the Mystery Inequality???” The points (2,5) and (-3, -5) lie on the boundary line. The points (6,5) and (-2, -3) are solutions of the inequality. y ≤ 2x + 1

14
ABSOLUTE VALUE FUNCTION- Graph Absolute Value Functions Extension Activity 6.5 xf(x)=|x| -55 -22 00 11 33 f(x) = |x| g(x) = |x -3|xg(x)=|x-3|-36 03 30 41 63

15
Read pages 396-397. Complete #1-7 on page 397. Make sure to graph and compare each function to f(x) = |x|. Graph Absolute Value Functions Extension Activity 6.5

16
Homework Text p. 409, #4-52 multiples of 4 Text p. 409, #4-52 multiples of 4

Similar presentations

OK

Do Now 6/10/13 Copy HW in your planner. Copy HW in your planner. –Text p. 478, #8-26 evens, & 30 –Cumulative Test Chapters 1-11 Thursday –Benchmark Test.

Do Now 6/10/13 Copy HW in your planner. Copy HW in your planner. –Text p. 478, #8-26 evens, & 30 –Cumulative Test Chapters 1-11 Thursday –Benchmark Test.

© 2018 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google

Ppt on global warming for class 10 Agriculture for kids ppt on batteries Ppt on acid base and salt Ppt on astronomy and astrophysics colleges Ppt on payroll management system Ppt on human eye and colourful world free download Ppt on air pollution act Ppt on uti mutual funds Ppt on preparation of soap Ppt on blood stain pattern analysis training