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Jeopardy Style Math Challenge: Simplify Expressions and Determine Domains

Test your algebra skills with this engaging Jeopardy-style math challenge, where you'll simplify various expressions and determine domains and ranges for different functions. Featuring problems ranging from basic simplifications to more complex polynomial analysis, this game encourages critical thinking and a deeper understanding of algebra concepts. Suitable for students and math enthusiasts wanting to practice and enhance their problem-solving abilities in a fun and competitive format.

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Jeopardy Style Math Challenge: Simplify Expressions and Determine Domains

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  1. Let’s Get Ready To Play Some . . .

  2. J E O P A R D Y JEOPARDY JEOPARDY JEOPARDY JEOPARDY JEOPARDY

  3. Jeopardy Board Final Jeopardy

  4. Simplify 100 Simplify the expression 3(x + 1) − 2(3x + 7). F −3x − 11 G −3x − 10 H −3x − 8 J −3x + 17 Board Answer

  5. Simplify 100 Simplify the expression 3(x + 1) − 2(3x + 7). 3x + 3 −6x −14 F −3x − 11 G −3x − 10 H −3x − 8 J −3x + 17 −3x −11 Board

  6. Simplify 200 Simplify the expression: 6 − 3(5x + 2) − 10x F −25x G 5x + 6 H 8 − 25x J 12 − 25 Board Answer

  7. Simplify 200 Simplify the expression: 6 − 3(5x + 2) − 10x 6 −15x −6 −10x F −25x G 5x + 6 H 8 − 25x J 12 − 25x −25x + 0 Board

  8. Simplify 300 Which expression is equivalent to (5n − 2)3n − (5n − 2)(n − 1)? A n − 1 B 3n2 − 3n C 10n2 − 13n + 2 D 10n2 + n − 2 Board Answer

  9. Simplify 300 Which expression is equivalent to (5n − 2)3n − (5n − 2)(n − 1)? A n − 1 B 3n2 − 3n C 10n2 − 13n + 2 D 10n2 + n − 2 15n2 − 6n − (5n2 −5n −2n +2) 15n2 – 6n – (5n2 – 7n + 2) 15n2 – 6n – 5n2 + 7n – 2 10n2 + 1n – 2 Board

  10. Simplify 400 Simplify the algebraic expression 5(x − 2) + 2(3x2 − 12x + 12) F −x + 10 G −13x + 14 H 6x2 − 7x + 10 J 6x2 − 19x + 14 Board Answer

  11. Simplify 400 Simplify the algebraic expression 5(x − 2) + 2(3x2 − 12x + 12) 5x − 10 + 6x2 − 24x + 24 6x2 − 19x + 14 F −x + 10 G −13x + 14 H 6x2 − 7x + 10 J 6x2 − 19x + 14 Board

  12. Simplify 500 Simplify the polynomial. −3x(7x − 4) + 6x − (13 − 24x2) F 3x2 + 18x − 13 G −24x2 − 15x − 17 H −24x2 + 10x − 17 J 3x2 + 18x + 13 Board Answer

  13. Simplify 500 Simplify the polynomial. −3x(7x − 4) + 6x − (13 − 24x2) −21x2 + 12x + 6x − 13 + 24x2 3x2 + 18x – 13 F 3x2 + 18x − 13 G −24x2 − 15x − 17 H −24x2 + 10x − 17 J 3x2 + 18x + 13 Board

  14. Domain and Range 100 For the function f(x) = 7 – x, what is the range when the domain is {2, 5, 8}? Board Answer

  15. Domain and Range 100 For the function f(x) = 7 – x, what is the range when the domain is {2, 5, 8}? The domain is all possible x-values Board

  16. Domain and Range 200 The graph shows the path of a golf ball. What is the domain of this function? F 0 < y < 100 G 0 ≤ y ≤ 100 H 0 ≤ x ≤ 5 J 0 < x < 5 Board Answer

  17. Domain and Range 200 The graph shows the path of a golf ball. What is the domain of this function? F 0 < y < 100 G 0 ≤ y ≤ 100 H 0 ≤ x ≤ 5 J 0 < x < 5 The domain is all possible x-values Since 0 and 5 are included … Board

  18. Domain and Range 300 The graph shows the path of a golf ball. What is the range of this function? F 0 < y < 100 G 0 ≤ y ≤ 100 H 0 ≤ x ≤ 5 J 0 < x < 5 Board Answer

  19. Domain and Range 300 The graph shows the path of a golf ball. What is the range of this function? F 0 < y < 100 G 0 ≤ y ≤ 100 H 0 ≤ x ≤ 5 J 0 < x < 5 The range is all possible y-values Since 0 and 100 are included Board

  20. Domain and Range 400 What is the domain of the function shown on the graph? A −3 ≤ x ≤ 3 B −3 < x < 3 C −5 < x ≤ 4 D −5 ≤ x < 4 Board Answer

  21. Domain and Range 400 What is the domain of the function shown on the graph? A −3 ≤ x ≤ 3 B −3 < x < 3 C −5 < x ≤ 4 D −5 ≤ x < 4 The domain is all possible x-values Since -3 and 3 have open circles these values are NOT included Board

  22. Domain and Range 500 Which inequality best describes the range of the function represented by this graph? A y ≤ 3 B y ≤ 2 C y ≥ 3 Dy ≥ 2 Board Answer

  23. Domain and Range 500 Which inequality best describes the range of the function represented by this graph? A y ≤ 3 B y ≤ 2 C y ≥ 3 Dy ≥ 2 The range is all possible y -values Since 2 is included and the line goes up forever … Board

  24. Solve Linear & Non-Linear Equations 100 Solve the equation 2a − 6 + 5a = 3a + 10 for a. Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. Board Answer

  25. Solve Linear & Non-Linear Equations 100 Solve the equation 2a − 6 + 5a = 3a + 10 for a. Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. 4 Board x = 4, y = 22

  26. Solve Linear & Non-Linear Equations 200 In the equation y = 2x2 − 5x − 18, which is a value of x when y = 0? Board Answer

  27. Solve Linear & Non-Linear Equations 200 In the equation y = 2x2 − 5x − 18, which is a value of x when y = 0? A −18 B 1 C 2 D 4 Board

  28. Solve Linear & Non-Linear Equations 300 After a ball is dropped, the rebound height of each bounce decreases. The equation y = 5(0.8)xshows the relationship between x, the number of bounces, and y, the height of the bounce, for a certain ball. What is the approximate height of the fifth bounce of this ball to the nearest tenth of a unit? Board Answer

  29. Solve Linear & Non-Linear Equations 300 After a ball is dropped, the rebound height of each bounce decreases. The equation y = 5(0.8)xshows the relationship between x, the number of bounces, and y, the height of the bounce, for a certain ball. What is the approximate height of the fifth bounce of this ball to the nearest tenth of a unit? A 20.0 units B 4.0 units C 1.6 units D 1.3 units Board

  30. Solve Linear & Non-Linear Equations 400 The area of a rectangle is given by the equation 2L2 − 5L = 18, in which L is the rectangle’s length. What is the length of the rectangle? Board Answer

  31. Solve Linear & Non-Linear Equations 400 The area of a rectangle is given by the equation 2L2 − 5L = 18, in which L is the rectangle’s length. What is the length of the rectangle? Must equal zero F 1.5 G 2 H 4.5 J 6 2L2 – 5L = 18 -18 -18 2L2 – 5L – 18 = 0 Board

  32. Solve Linear & Non-Linear Equations 500 The area of a rectangle is 3x2 + 14x + 8, and the width is x + 4. Which expression best describes the rectangle’s length? F 3x + 2 G 2x + 4 H 2x + 2 J 3x − 2 Board Answer

  33. Solve Linear & Non-Linear Equations 500 The area of a rectangle is 3x2 + 14x + 8, and the width is x + 4. Which expression best describes the rectangle’s length? ( )(x + 4) = _____________________ F 3x + 2 G 2x + 4 H 2x + 2 J 3x − 2 3x2 + 12x + 2x + 8 = 3x2 + 14x + 8 ( )(x + 4) = _____________________ 3x2 + 12x – 2x – 8 = 3x2 + 10x – 8 Area of a rectangle = _____________________ Length times Width Board

  34. Scatterplots and Predictions 100 The graph below shows the relationship between the distance in miles a delivery truck traveled and the number of hours each delivery took. Which best describes the relationship shown on the graph? A Negative trend B Positive trend C Constant trend D No trend Board Answer

  35. Scatterplots and Predictions 100 The graph below shows the relationship between the distance in miles a delivery truck traveled and the number of hours each delivery took. Which best describes the relationship shown on the graph? A Negative trend B Positive trend C Constant trend D No trend Increasing Board

  36. Scatterplots and Predictions 200 Monica collected data on the ages and heights of a random sample of sixth-, seventh-, and eighth-grade students at her school. If she plots the data on a scatterplot, what relationship will she most likely see between age and height? A A negative correlation B No correlation C A positive correlation D A constant correlation Board Answer

  37. Scatterplots and Predictions 200 Monica collected data on the ages and heights of a random sample of sixth-, seventh-, and eighth-grade students at her school. If she plots the data on a scatterplot, what relationship will she most likely see between age and height? Increasing A A negative correlation B No correlation C A positive correlation D A constant correlation 6th Grade 7th Grade 8th Grade Board

  38. Scatterplots and Predictions 300 The coaches of a group of debate teams answered a survey about hours of debate team practice and # of team wins. The graph shows the results of this survey. Based on these results, if a team practices 4 hours per week next season, which is the best estimate of the number of debates the team can expect to win? F 1 G 12 H 16 J 20 Board Answer

  39. Scatterplots and Predictions 300 The coaches of a group of debate teams answered a survey about hours of debate team practice and # of team wins. The graph shows the results of this survey. Based on these results, if a team practices 4 hours per week next season, which is the best estimate of the number of debates the team can expect to win? Too high ✘ F 1 G 12 H 16 J 20 Just Right ✘ Too low ✘ Board

  40. Scatterplots and Predictions 400 The energy output from a chemical reaction is dependent on the amount of chemicals used. The table shows this relationship. What is a reasonable amount of energy output from the reaction of 32 moles of the chemicals? F 77 joules G 92 joules H 110 joules J 128 joules Board Answer

  41. Scatterplots and Predictions 400 The energy output from a chemical reaction is dependent on the amount of chemicals used. The table shows this relationship. What is a reasonable amount of energy output from the reaction of 32 moles of the chemicals? F 77 joules G 92 joules H 110 joules J 128 joules STAT >> EDIT Board STAT >> CALC >> 4 y = 4x + 0

  42. Scatterplots and Predictions 500 The graph shows the price of a share of Compuco stock at the close of each day during a 1-week period. Based on the data in the graph, which conclusion is most accurate? A The closing price remained constant throughout the week. B The closing price increased at the beginning of the week and then leveled off at the end of the week. C The closing price decreased at the beginning of the week and then increased at the end of the week. D The closing price each day was lower than the closing price on the previous day. Board Answer

  43. Scatterplots and Predictions 500 The graph shows the price of a share of Compuco stock at the close of each day during a 1-week period. Based on the data in the graph, which conclusion is most accurate? A The closing price remained constant throughout the week. B The closing price increased at the beginning of the week and then leveled off at the end of the week. C The closing price decreased at the beginning of the week and then increased at the end of the week. D The closing price each day was lower than the closing price on the previous day. ✘ ✘ Board

  44. Final Jeopardy Category Domain & Range Board

  45. Final Jeopardy Question Mr. Maxwell asked his students to identify the domain represented by the function graphed below. Which of the following student responses is correct? F −5 < x < 6 G −6 < x < 2 H −5 < x < −2 J Not here Answer

  46. Final Jeopardy Answer Mr. Maxwell asked his students to identify the domain represented by the function graphed below. Which of the following student responses is correct? F −5 < x < 6 G −6 < x < 2 H −5 < x < −2 J Not here The domain is all possible x-values Since -5 has a closed circle this value has to be included (-5 < x < 6) Board

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