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3/25 Bell Ringer

3/25 Bell Ringer. Solve the system of equations: Remember to use your calculator. Homework: Finish today’s Independent Practice. News and Notes. Today: BINDER BOOT CAMP Tomorrow: Binder Check Thursday: Concept Quiz Friday: 3 rd quarter grades go in. 3/28 Agenda.

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3/25 Bell Ringer

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  1. 3/25 Bell Ringer Solve the system of equations: Remember to use your calculator Homework: Finish today’s Independent Practice.

  2. News and Notes • Today: BINDER BOOT CAMP • Tomorrow: Binder Check • Thursday: Concept Quiz • Friday: 3rd quarter grades go in

  3. 3/28 Agenda • I CAN identify number of solutions to a given system of equations. • Bell Ringer • New Material – 3 examples • Guided Practice – 3 more examples • Independent Practice – Try it on your own.

  4. Example 1 Y = 3x + 5 -2x + y = 5 • Given the above system of equations, identify number of solutions. • Step 1: Get both in slope-int form (calculator ready form) • Step 2: Graph both and sketch graph on paper. • Step 3: Find intersections

  5. Step 1: Get both in slope-int form (calculator ready form) • Y = 3x + 5  OK! • -2x + Y = 5  Needs fixed up • +2x +2x Y = 2x + 5  OK!

  6. Step 2: Graph both and sketch graph on paper

  7. Step 3: Find intersections How many solutions? ONE SOLUTION

  8. Example 2 Y = 3x + 5 -3x + Y = 1

  9. Step 1: Get both in slope-int form (calculator ready form) • Y = 3x + 5  OK! • -3x + Y = 1  Needs fixed up • +3x +3x Y = 3x + 1  OK!

  10. Step 2: Graph both and sketch graph on paper

  11. Step 3: Find intersections? • When we have equations y = 3x + 5 and y = 3x + 1 where do the lines intersect? THEY DON’T! PARALLEL LINES = NO SOLUTIONS!

  12. Example 3 Y = 3x + 5 -3x + y = 5 • Given the above system of equations, identify number of solutions. • Step 1: Get both in slope-int form (calculator ready form) • Step 2: Graph both and sketch graph on paper. • Step 3: Find intersections

  13. Step 1: Get both in slope-int form (calculator ready form) • Y = 3x + 5  OK! • -3x + Y = 5  Needs fixed up • +3x +3x Y = 3x + 5  OK!

  14. Step 2: Graph both and sketch graph on paper

  15. Step 3: Find intersections How many solutions? INFINITE SOLUTIONS

  16. Summarize – Guided Practice How many solutions are there to a system of equations that only has 1 intersection? - ONE How many solutions are there to a system of equations that appear to be parallel? - NO SOLUTIONS If a system of equations has no solutions, what will be true about the slope of the two equations? - SLOPES WILL BE THE SAME If a system of equations has no solutions, what will be true about the y-intercept? - Y-INT HAVE TO BE DIFFERENT If a system of equations has infinitely many solutions, what is true about the slope and y-intercept? - THEY ARE BOTH THE SAME  SAME EXACT SLOPE-INT EQUATION

  17. Exit Ticket: • Determine which system of equations has no solution. Show work

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