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Solving Systems of Equations: Word Problems and Bogan High School Dance Analysis

In this lesson, we focus on solving word problems using systems of equations. We begin with a review of key techniques, including underlining important information, defining variables, setting up equations, and solving them. Students will explore examples such as determining ticket sales at the Bogan homecoming dance and analyzing attendance figures. Independent and partner problems will provide practice, including real-world applications related to sports and fundraising. Prepare for Thursday’s midterm by honing these problem-solving skills!

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Solving Systems of Equations: Word Problems and Bogan High School Dance Analysis

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  1. Tuesday, April 12th Bell Ringer: What is the best method to solve this system? How many single men are there at Bogan?

  2. Bell Ringer Review

  3. Calendar • Today: Word problems • Tomorrow: REVIEW • Thursday: 3rd Quarter Midterm

  4. Today Objective: I CAN solve word problems using systems of equations Agenda: • All the single ladies • Guided Practice • Independent Practice • Exit

  5. So let’s talk for a minute • How many single boys do you think there are Bogan High School?

  6. How could we figure this out?

  7. In our examples we will follow these steps • Step 1: Underline important information • Step 2: Define variables • Step 3: Set up equations • Step 4: Solve

  8. Example #1 Last year at the Bogan homecoming dance a total of 1400 tickets were sold. Female tickets were sold for $4 and Male Tickets were $7. The football team made a total of $7850 from the dance. How many boys and girls attended the dance?

  9. Step #1: Underline Last year at the Bogan homecoming dance a total of 1400 tickets were sold. Female tickets were sold for $4 and Male Tickets were $7. The football team made a total of $7850 from the dance. How many boys and girls attended the dance?

  10. Step #2: Define variables Last year at the Bogan homecoming dance a total of 1400 tickets were sold. Female tickets were sold for $4 and Male Tickets were $7. The football team made a total of $7850 from the dance. How many boys and girls attended the dance?

  11. Step #3: Write equations Last year at the Bogan homecoming dance a total of 1400 tickets were sold. Female tickets were sold for $4 and Male Tickets were $7. The football team made a total of $7850 from the dance. How many boys and girls attended the dance?

  12. Step #4: Solve

  13. So now, let’s picture the dance? • 650 girls • 750 boys 100 single boys at Bogan

  14. Partner Problem #1 Derek Rose has made a total of 1518 points so far this season on 2 and 3 pointers. He has made a total of 696 baskets this year. How many 2’s and how many 3’s has The MVP made?

  15. Partner Problem #2 A test is out of 100 points has 16 questions. The questions are worth either 3 points or 11 points. How many 3 point questions are there?

  16. Independent practice • Work on the back of the sheet

  17. Tomorrow Notes • I will be out but stopping by • You will have a review sheet • There will be posters on the wall to help you review • Test Thursday: Don’t be late

  18. Exit Ticket

  19. Exit Ticket The library sells 376 books at its annual used-book fundraiser. They take in a total of $2120. Children's books cost $4, and adult books cost $7. How many children's books did they sell? Define your variables and write a system of equations:

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