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Solving Linear Equations: Movie Snacks Budget Project for 8th Grade Math

In this engaging project, 8th-grade students will explore linear equations through a real-life scenario. With a budget of $50 for snacks at the movies—soda priced at $5 and popcorn at $10—students will determine how many of each they can buy. By applying the standard form of a line, they will create equations such as 5x + 10y = 50. The project includes calculations for various combinations of soda and popcorn purchases, culminating in a table of values, and helps students understand the relationship between quantities through problem-solving.

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Solving Linear Equations: Movie Snacks Budget Project for 8th Grade Math

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  1. Linear Equation Project 2nd Trimester 8th GradeSample by Mrs. Nagel

  2. I have $50 to spend at the movies. I want to buy soda and popcorn to share with my friends. How much of each can I buy with my $50.

  3. Soda is $5 a cup and a large bag of popcorn is $10.

  4. Standard form of a line ax + by =c Soda = a= $5 Popcorn = b= $10 5x + 10y = 50

  5. 5x + 10y = 50 -5x -5x 10y = -5x + 50 10y = -5x + 50 10 10 10 y = -1/2 x + 5 slope y-intercept

  6. If I buy 1 soda how many popcorns can I buy? 5x + 10 y = 50 5(1) + 10 y = 50 5 + 10y = 50 -5 -5 10y = 45 10 10 Y = 4.5

  7. If I buy 2 sodas, how many popcorns can I buy? 5x + 10y = 50 5(2) + 10 y = 50 10 + 10y = 50 -10 -10 10y = 40 Y = 4

  8. If I buy 4 sodas, how many popcorns can I buy? 5x + 10 y = 50 5 (4) = 10 y = 50 20 + 10y = 50 -20 -20 10y = 30 Y = 3

  9. If I buy six sodas, how many popcorns can I buy? 5x + 10y = 50 5(6) + 10y = 50 + 10y = 50 -30 -30 10y = 20 Y = 2

  10. If I buy 10 sodas, how many popcorns can I buy? 5x + 10y = 50 5(10) + 10y = 50 50 + 10 y = 50 -50 -50 10y = 0 Y = 0

  11. How many popcorns can I buy if I don’t buy any sodas? 5x + 10y = 50 5 (0) + 10y = 50 0 + 10y = 50 10y = 50 Y = 5

  12. table of values X Y 0 5 10 0 2 3 1 4.5 4 3 6 2

  13. 543211 2 3 4 5 6 7 8 9 10

  14. 5x + 10y = 50 5X + 10 (0)= 505(0) + 10y = 50 5x = 500 + 10y = 50 x = 10y = 5 (10, 0)(0,5) y- intercept x-intercept

  15. Rate of Changey2-y1x2-x1(10, 0) (0, 5)5-00-10- 1/2

  16. Well, I decided that I should buy each one of my friends their own popcorn and their own drink. I also decided to buy myself two different drinks, so I actually purchased 4 drinks and 3 popcorns. It was sure a good day at the movies.

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