Lesson 3 – 1.6/1.7 – Linear Equations & Inequalities

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Presentation transcript:

Lesson 3 – 1.6/1.7 – Linear Equations & Inequalities Math 2 Honors -Santowski Math 2 Honors - Santowski 9/22/2018

Lesson Objectives Write and solve linear equations in one variable Write, solve, and graph linear inequalities in one variable Math 2 Honors - Santowski 9/22/2018

Fast Five EXPLAIN to your table partners, 3 different ways that you can solve the equation: EXPLAIN how you would solve Math 2 Honors - Santowski 9/22/2018

Fast Five If the reciprocal of is -2, determine the value of x What is the value of Solve Math 2 Honors - Santowski 9/22/2018

(A) Solving One Variable Linear Equations Linear equations can be solved in 3 ways: (i) algebraic methods (ii) graphic methods (iii) numeric methods We will review some key ideas/steps in solving various Math 2 Honors - Santowski 9/22/2018

(A) Solving Linear Equations - Algebraically Solve and verify: Math 2 Honors - Santowski 9/22/2018

(A) Solving Linear Equations - Graphically Now let’s use the graphing calculator and the graphing option to solve the same equations  what do we look for and why? Math 2 Honors - Santowski 9/22/2018

(A) Solving Linear Equations - Numerically Now let’s use the graphing calculator to solve the same equations  BUT your graphing view screen DOES not work  how would you use a table of values and why? Math 2 Honors - Santowski 9/22/2018

(A) Solving Linear Equations Under what conditions for the parameter a will the following equation have NO solution? What is the graphic significance of this non-solution? Would your answer for the value of a change if the equation now is Math 2 Honors - Santowski 9/22/2018

(A) Solving Linear Equations Under what conditions for the parameter a and b will the solution set be infinite? What is the graphical significance of an infinite solution set? Math 2 Honors - Santowski 9/22/2018

(B) Solving Inequalities - Algebraically Solve the following one variable linear inequalities algebraically. Express your solution set in set notation, in interval notation, and using a number line. EXPLAIN who to verify your solution Math 2 Honors - Santowski 9/22/2018

(B) Solving Inequalities - Graphically Solve the following one variable linear inequalities graphically. Express your solution set in set notation, in interval notation, and using a number line. EXPLAIN who to verify your solution Math 2 Honors - Santowski 9/22/2018

Homework p. 49 # 31-55 odds, 63 p. 58 # 47-51 odds, 56-60 evens Math 2 Honors - Santowski 9/22/2018