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E O P A R D Y JEOPARDY JEOPARDY JEOPARDY JEOPARDY JEOPARDY J
Jeopardy Board 100 200 300 400 500 Final Jeopardy Solve One Step Equations Solve Two Step Equations Solve Other Equations Word Problems to Equations 100 200 300 400 500
Solve One Step Equations - 100 Solve: x + 4 = 8 Board Answer
Solve One Step Equations - 100 Solve: x + 4 = 8 Algebra Tiles x + 4 = 8 Get rid of 4 yellows Algebra x + 4 = 8 Both sides – 4 – 4 x = 4 x = 4 Board
Solve One Step Equations - 200 Solve: x – 2 = -3 Board Answer
Solve One Step Equations - 200 Solve: x – 2 = -3 Algebra Tiles x – 2 = -3 Get rid of 2 reds Algebra x – 2 = -3 Both sides +2 +2 x = -1 x = -1 Board
Solve One Step Equations - 300 Solve: 2x = 6 Board Answer
Solve One Step Equations - 300 Solve: 2x = 6 Algebra Tiles 2x = 6 How many squares for each rectangle? Algebra Divide x = 3 2x = 6 2 2 x = 3 Board
Solve One Step Equations - 400 Board Answer
Solve One Step Equations - 400 No Algebra Tiles here 5 5 Do the opposite Fraction bar means division x = 50 Both sides always Board
Solve One Step Equations - 500 Board Answer
Solve One Step Equations - 500 No Algebra Tiles here Option 1: Get rid of fraction by multiplying by LCD ____ Option 2: Multiply by the reciprocal ____ 3 3 3 1 2x = 36 Finish 2 2 x = 18 x = 18 Board
Solve Two Step Equations - 100 Solve: 2x + 3 = 5 Board Answer
Solve Two Step Equations - 100 Solve: 2x + 3 = 5 Algebra Tiles 2x + 3 = 5 Get rid of 3 yellows Algebra 2x + 3 = 5 – 3 – 3 Both sides 2x = 2 Cancel 2 2 What is this equation? x = 1 Separate the squares x = 1 Board
Solve Two Step Equations - 200 Solve: 5x – 3 = -13 Board Answer
Solve Two Step Equations - 200 Solve: 5x – 3 = -13 Algebra Tiles 5x – 3 = -13 Get rid of 3 reds Algebra 5x – 3 = -13 + 3 + 3 5x = -10 Both sides Cancel 5 5 What is this equation? x = -2 Separate the squares x = -2 Board
Solve Two Step Equations - 300 Solve: 3x + 4 = -5 Board Answer
Solve Two Step Equations - 300 Solve: 3x + 4 = -5 Algebra Tiles 3x + 4 = -5 Get rid of 4 yellows Algebra 3x + 4 = -5 – 4 – 4 3x = -9 Both sides Cancel 3 3 What is this equation? x = -3 Separate the squares x = -3 Board
Solve Two Step Equations - 400 Board Answer
Solve Two Step Equations - 400 No Algebra Tiles here Option 1: Get rid of fraction by multiplying by LCD ____ Option 2: Multiply by the reciprocal at the end ____ 3 3 3 3 – 6 – 6 2x + 18 = -36 Finish – 18 – 18 1 2x = -54 2 2 x = -27 x = -27 Board
Solve Two Step Equations - 500 Board Answer
Solve Two Step Equations - 500 No Algebra Tiles here Get rid of fractions by multiplying by LCD ____ 6 6 6 6 4x + 3 = -18 Finish – 3 – 3 4x = -21 4 4 Board
Solve Other Equations - 100 Solve: 2(x + 3) = 10 Board Answer
Solve Other Equations - 100 Solve: 2(x + 3) = 10 Algebra Tiles 2(x + 3) = 10 What is this equation? Algebra 2(x + 3) = 10 Get rid of 6 yellows 2x + 6 = 10 – 6 – 6 Both Sides 2x = 4 Cancel 2 2 What is this equation? x = 2 Separate the squares Board x = 2
Solve Other Equations - 200 Solve: 3(x – 4) = -15 Board Answer
Solve Other Equations - 200 Solve: 3(x – 4) = -15 Algebra Tiles 3(x – 4 ) = -15 What is this equation? Algebra 3(x – 4) = -15 Get rid of 12 reds 3x – 12 = -15 +12 +12 Both Sides 3x = -3 Cancel 3 3 What is this equation? x = -1 Separate the squares Board x = -1
Solve Other Equations - 300 Solve: 2x + 3 + 4x – 7 = 14 Board Answer
Solve Other Equations - 300 Solve: 2x + 3 + 4x – 7 = 14 Combine like terms 6x – 4 = 14 +4 +4 6x = 18 6 6 x = 3 Board
Solve Other Equations - 400 Solve: 3x + 4 – 5x + 2 = 0 Board Answer
Solve Other Equations - 400 Solve: 3x + 4 – 5x + 2 = 0 Combine like terms -2x + 6 = 0 -6 -6 -2x = -6 -2 -2 x = 3 Board
Solve Other Equations - 500 Solve: 2x + 3 = 4x – 5 Board Answer
Solve Other Equations - 500 Solve: 2x + 3 = 4x – 5 Variables on both sides 2x + 3 = 4x – 5 -2x -2x Get rid of one of the variables 3 = 2x – 5 +5 +5 8 = 2x 2 2 x = 4 Board
Word Problems to Equations - 100 Translate: Twice a number is 250 Board Answer
Word Problems to Equations - 100 Translate: Twice a number is 250 2x = 250 Board
Word Problems to Equations - 200 Translate: Two-thirds of a number and 6 is 24 Board Answer
Word Problems to Equations - 200 Translate: Two-thirds of a number and 6 is 24 Board
Word Problems to Equations - 300 Translate into an equation: The plumber charges $40 per hour plus $50 service charge. The bill comes to $170. Board Answer
Word Problems to Equations - 300 Translate into an equation: The plumber charges $40 per hour plus $50 service charge. The bill comes to $170. 40h + 50 = 170 Board
Word Problems to Equations - 400 Translate into an equation: Your company has $20,000. It costs $3,500 per week to run the company. How long before the company has $500? Board Answer
Word Problems to Equations - 400 Translate into an equation: Your company has $20,000. It costs $3,500 per week to run the company. How long before the company has $500? 20000 – 3500w = 500 Board
Word Problems to Equations - 500 Translate to an equation: Your company has $16,000. You make $750 a day. How long before you have $20,000? Board Answer
Word Problems to Equations - 500 Translate to an equation: Your company has $16,000. You make $750 a day. How long before you have $20,000? 750d + 16000 = 20000 Board
Final Jeopardy Category Perimeter of a rectangle Board
Final Jeopardy Question x + 5 2x x – 4 x – 4 x x 2x x + 5 The perimeters of these rectangles are equal. Write an equation and solve for x. Answer
Final Jeopardy Question x + 5 2x x – 4 x – 4 x x 2x x + 5 The perimeters of these rectangles are the same. Write an equation and solve for x. Perimeter of left rectangle Perimeter of right rectangle P = x + x + 5 + x + x + 5 P = x – 4 + 2x + x – 4 + 2x = 4x + 10 = 6x – 8 Since the perimeters are the same, set them equal to each other 10 = 2x – 8 4x + 10 = 6x – 8 + 8 + 8 – 4x – 4x Board 18 = 2x 10 = 2x – 8 x = 9 2 2