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Graphical Approach to Inequalities & Elimination Method in Linear Equations

Learn how to graph systems of inequalities and solve linear equations by elimination method with practical examples and applications.

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Graphical Approach to Inequalities & Elimination Method in Linear Equations

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  1. Do Now Solve the following system of inequalities graphically: y > -3 y > x + 1

  2. Wrap Up

  3. Do Now Simplify the following expressions.

  4. Find the amount of texts and minuets that both plans have in common when the price is $50.

  5. Do Now: - Take out Home work - Solve the system of equations by the elimination method. y = 7 – 2x 4x + y = 5

  6. There are many applications of solving systems of linear equations by elimination. One of the more interesting ones comes in finding the equation of a line if you know two points that it goes through. Exercise : consider a line that passes through the points 2, 11 and 3, 14 . We want to find its equation in y mx b form.

  7. Exercise #4: Find the equation of the linear function, in y mx b form, shown in the table below.

  8. Exercise #4: Two numbers have the following properties. The sum of the larger and twice the smaller is equal to 13. Twice their positive difference is equal to eight. What are the two numbers? Play around with modeling this problem using variables. Create careful let statements and equations that translate the information you are given into a system you can solve.

  9. Complete the back of yesterday's worksheet.

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