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Solving Systems of Linear Inequalities

Algebra 1. 10/22/2019. Solving Systems of Linear Inequalities. Objective: solve a linear system of inequalities by graphing.

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Solving Systems of Linear Inequalities

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  1. Algebra 1 10/22/2019 Solving Systems of Linear Inequalities Objective: solve a linear system of inequalities by graphing. Students solve a system of two linear equations in two variables algebraically and are able to interpret the answer graphically. Students are able to solve a system of two linear inequalities in two variables and to sketch the solution sets.

  2. Monday’s Homework • Any questions about the packet? • Please have the packet and homework log out on your desk. • Make sure the homework is 100% complete. • Incomplete work will NOT be accepted.

  3. Warm-Up Graph. 1) Put in slope-intercept form. 2) Graph. Find m and b first. b = beginning m = move 3) Solid or Dashed? Dashed 4) Shade above or below the y-intercept. Below

  4. Summary • Write a summary about today’s lesson. • To solve a system of ______ inequalities first put both equations into slope-________ form. Next find the m and b and plot your points. Make a _____/dashed line and then shade above/______ according to the sign. Do the same for the other equation. Now darkly ______ the overlap. • linear • intercept • solid • below • shade

  5. Notes • Steps to Graphing Linear System Inequalities • Write the equation in slope-intercept form. • Graph the y-intercept and slope. • Draw the line (solid or dashed). Dashed line Solid line 4. Lightly shade above or below the y-intercept. Above y-intercept Below y-intercept 5. Graph the other equation. 6. Darkly shade overlap.

  6. Notes 1) Put in slope-intercept form. Graph the system of linear inequalities. Ex. Solid Below 2) Graph. Find m and b. 3) Solid or dashed? 4) Lightly shade above or below the y-intercept. Dashed 5) Do the same for the other equation. Above 6) Darkly shade overlap.

  7. Notes 1) Put in slope-intercept form. Graph the system of linear inequalities. Ex. Dashed Above 2) Graph. Find m and b. 3) Solid or dashed? 4) Lightly shade above or below the y-intercept. Dashed Above 5) Do the same for the other equation. 6) Darkly shade overlap.

  8. Notes Graph the system of linear inequalities. Ex. Dashed Above Solid Below

  9. Notes Graph the system of linear inequalities. Ex. Solid Dashed Below Above

  10. Today’s Homework • Worksheet 7.7 • Rules for Homework • Pencil ONLY. • Must show all of your work. • NO WORK = NO CREDIT • Must attempt EVERY problem. • Always check your answers.

  11. Class Work Graph the system of linear inequalities.

  12. Ticket Out the Door • Complete the Ticket Out the Door without talking!!!!! • Talking = time after the bell! • Put your NAME on the paper. • When finished, turn your paper face DOWN. • Graph the system of linear inequalities.

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