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Equations and Analysis in Math - Jeopardy & Problem Solving

Solve various equations using cross products, dimensional analysis, and percentage calculations. Practice analyzing and finding domain values.

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Equations and Analysis in Math - Jeopardy & Problem Solving

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  1. Jeopardy

  2. 100 Solve the equation, if possible. 42n – 13 = 17n + 12

  3. 200 Solve the equation, if possible. 4.5x + 3.4 = 1.5x – 2.6

  4. 300 Solve the equation, if possible. 14d – 43 = 6d – 13 – 7d

  5. 400 Write 7.545454… as a mixed number.

  6. 500 Find the area of a rectangle whose length is 6 inches less than 5 times the width and whose perimeter is 8 inches more than twice the length.

  7. 100 Tim wanted to retile his bathroom. He bought square tiles measuring 10 in on each side. Each tile cost $2.39. Find the cost per square foot using dimensional analysis. Round to the nearest cent.

  8. 200 Nate paid $5.50 for 50 minutes of long distance calling. Chuck paid $6.50 for 70 minutes of long distance calling. How much did each boy pay per minute? Who paid the higher price?

  9. 300 A home improvement store sells carpet for as low as $1.75 per square foot. Find the corresponding price per square yard using dimensional analysis. Round to the nearest cent.

  10. 400 A plane traveling west flew 1225 miles in 3 hours. A plane traveling east flew 1425 miles in 3.5 hours. How fast was each plane traveling? On average, which plane had the greater speed.

  11. 500 Change 75 feet per second to miles per hour using dimensional analysis. Round to the nearest tenth of a mile.

  12. 100 Solve the equation using cross products.

  13. 200 Solve the equation using cross products.

  14. 300 Solve the equation using cross products.

  15. 400 Solve the equation using cross products.

  16. 500 Solve the equation using cross products.

  17. 100 Last week, a clothing store sold 134 pairs of women’s jeans and 88 pairs of men’s jeans. This week, the clothing store sold 90 pairs of women’s jeans and 100 pairs of men’s jeans. Complete the following statements. • Over the 2 week period, about ___% of the jeans sold were women’s jeans. • The number of men’s jeans sold from last week to this week increased by ___%.

  18. 200 In Rock Flats the sales tax is 6.5%. A computer is on sale for the same price in Rock Flats as in Mesa Grande. If the price of the computer, including sales tax, is $905.25 in Rock Flats and is $888.25 in Mesa Grande, then what is the sales tax rate in Mesa Grande?

  19. 300 A sweater is on sale for 25% off the original price. If the cost of the sweater, including a 5.5% sales tax is $43.52, what was the original price of the sweater?

  20. 400 John donates 1% of his weekly Paycheck to a local charity, which then uses 80% of the donation to buy food for the needy. If John’s weekly pay is $1250, then what is the dollar amount of his donation that is spent on food for the needy?

  21. 500 A mother cuts a pie into four equal pieces then cuts 60% of one piece to give to her child. If the whole pie weighs 3 pounds, then what is the weight, in ounces, of the piece of pie given to the child?

  22. 100 Find the domain for each variable in A = s2

  23. 200 Solve for t. A = P + Prt

  24. 300 Solve for l. S = B + ½Pl

  25. 400 Solve for h. V = πr2h 3

  26. 500 Find the domain for a and p in the equation C = 10.50a + 3.50p where a is the number of people who buy a ticket to the movie and p is the number of people who buy a popcorn

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