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Exploring Functional Relationships and Problem Solving in Geometry and Measurement

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chesmu
51 diapositives · 677 Views · Sep 04, 2014

This interactive resource covers various mathematical concepts related to functional relationships, geometry, and measurement. It discusses key problems, such as plotting equations, understanding transformations in graphs, solving linear equations, and applying inequalities in real-life contexts, such as earnings and investments. This material also explores geometry through triangle analysis, cylinder views, and probability in experimental outcomes. With practical examples and problem-solving exercises, learners can strengthen their mathematical skills and develop a deeper understanding of these fundamental topics.

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  1. Functional Relationships Geometry Measurement Problem Solving P3 Potpourri 5 pt 5 pt 5 pt 5 pt 5 pt 10 pt 10 pt 10 pt 10 pt 10 pt 15 pt 15 pt 15 pt 15 pt 15 pt 20 pt 20 pt 20 pt 20 pt 20 pt 25 pt 25 pt 25 pt 25 pt 25 pt

  2. What is the solution of

  3. x = 9

  4. How does the graph of y = x2 differ fromthe graph ofy = x2 – 4?

  5. The graph ofy = x2 – 4 is shifted down fromthe graph ofy = x2.

  6. Write the equation, in slope-intercept form, that describes a line that passes through the point (4,7) and is parallel tothe line y = 3x + 4.

  7. y = 3x - 5

  8. What is the solution of this system of linear equations?4y = -4x + 8y = x + 6

  9. (-2, 4)

  10. Shawna and her brother Jim help with the chores on their father’s ranch. Shawna earns $3 per hour and Jim earns $2 per hour. In one week, the most they can earn together is $70. Write an inequality to represent this situation, let x represent what Shawna earns and y represent Jim’s earnings.

  11. In a right triangle, the legs measure 12 cm and 5 cm. What is the length of the hypotenuse?

  12. 13 cm

  13. Sketch the right-hand side view of the cylinder.

  14. The blueprint dimensions for a newly constructed house are proportional to the house’s actual dimensions. On the blueprints the house’s foundation measures 75 cm long by 40 cm wide. If the house’s foundation measures 15m long, what is the foundation’s actual width?

  15. Width = 8 m

  16. How long is the diagonal of a square whose sides each measure 7 inches?

  17. Hiro is decorating a box with adhesive paper. The box measures 1.5 ft x 2 ft x 0.5 ft. How much adhesive paper does Hiro need?

  18. 9.5 ft2

  19. Mr. Collins invested some money that will double in value every 12 years. If he invested $3,000 on the day of his daughter’s birth, how much will the investment be worth on his daughter’s 60th birthday?

  20. $96,000

  21. Adam’s age is 4 less than twice Blanca’s age. If Adam is 16 years old, write an equation which could be used to find Blanca’s age.

  22. Write the equation which shows the slope-intercept form of

  23. Gail bought a compact disc player on sale with a coupon for 25% off. The compact disc player regularly priced at $80 and tax is 8%. How much did she pay including tax?

  24. $64.80

  25. Write an equation to describe the relationship between the corresponding values of x and y shown in the table.

  26. A D F E C B

  27. 15

  28. The table below shows the results of a number cube being rolled. Based on these results, what is the experimental probability of rolling a 1?

  29. A watch loses 3 minutes every 24 hours. How much time will it lose in 2 hours?

  30. 15 seconds

  31. Last basketball season Ricky made 58% of the free throws he attempted. In the first game this season, Ricky went to the free-throw line 10 times. About how many free throws did Ricky make if his success rate from last season continued?

  32. About 6 free throws

  33. Of the 32 students in Mrs. Lattie’s class 25% have brown hair. Of the remaining students, 12.5% have red hair. How many students in Mrs. Lattie’s class have red hair?

  34. 3 students have red hair.

  35. What are the next three numbers in the sequence1, 5, 13, 29, …?

  36. 61, 125, 253

  37. Simplify the following:

  38. If the dimensions of a rectangle with a perimeter of 24 inches are tripled, what will be the perimeter in inches of the new rectangle?

  39. 72 inches

  40. Michael Jordan’s career statistics show a free throw percentage of 0.836 and a 3-point percentage of 0.328. If Michael took 12 attempts at free throws, how many would you expect him to make?

  41. About 10 free throws.

  42. What is the distance between the points at (-2, 5) and (3, -4)? Round your answer to the nearest tenth.