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Power UP

Test your math skills with a series of questions. Can you determine the solutions to various mathematical problems? Play now and see how many points you can score!

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Power UP

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  1. Power UP Score more points the more questions you answer!

  2. How many solutions exist between a pair of parallel lines? ~50~ A. No Solution C. Two Solutions B. One Solution D. Infinite Solutions

  3. ANSWER ~50~ A. No Solution

  4. Solve by graphing:X + Y = 63X - 4Y = 4 ~100~ A. (-2, -4) C. (-4, -2) B. (2, 4) D. (4, 2)

  5. ANSWER ~100~ D. (4, 2)

  6. Solve by substitution:y = 3x - 122x + 3y = -3 ~200~ A. (3, -3) C. (0, 1) B. (-6, 6) D. (6, 6)

  7. ANSWER ~200~ A. (3, -3)

  8. Solve by elimination:2x - 5y = 1 3x - 4y = -2 ~400~ A. (-1, -2) C. No solution D. Infinite Solutions B. (-2, -1)

  9. ANSWER ~400~ B. (-2, -1)

  10. Open Ended: State how you determine if a system of equations has no solution or infinite solutions without graphing. ~500~

  11. ANSWER ~500~ Look at the slopes in the equations. If they are the same, the lines are parallel. If they are opposite reciprocals, the lines are perpendicular.

  12. Write a system of equations for the following: The sum of two numbers is 7. Four times the first number is one more than five times the second. ~650~ C.x + y = 7 5x = 4y + 1 A.x + y = 7 4x = 5y - 1 B. x + y = 7 4x + 1 = 5y D. x + y = 7 4x = 5y + 1

  13. ANSWER ~50~ D. x + y = 7 4x = 5y + 1

  14. Solve and check: 5a - 2b = 32a - b = 0 ~800~ A. a = 6 b = 3 C. a = 3 b = 6 B. a = -3 b = -6 D. a = 3 b = -6

  15. ANSWER ~800~ C. a = 3 b = 6

  16. Misha has a 2500 meter spool of rope that he mustcut into 50 meter and 75 meter lengths for hisrock climbing class. Write an inequality that willexpress the possible numbers of each length he can cut from this spool of rope. ~1000~ A. 50x + 75y  2500 C. 2500/50x ≤ 75y B. 50x + 75y ≤ 2500 D. 50x ≥ 2500 - 75y

  17. ANSWER ~1000~ B. 50x + 75y ≤ 2500

  18. ~1200~ A company produces windows and doors. A profitof $5 is realized on each window, an $3 on each door.The company has 18 hours available for manufacturing atplant A where it takes 3 hours for each window and 2 hoursfor each door. Plant B has 7.5 hours available for assembly where it takes 1.5 hours for each window, and .75 hours for each door. Write a system to model this problem. 3x + 1.5 y ≤ 18 2x + .75y ≤ 7.5 5x + 3 y ≤ 18 2x + 1.5y ≤ 7.5 A. C. 3x + 2y ≤ 18 1.5x + .75y ≤ 7.5 You can’t write a system for this problem. B. D.

  19. ANSWER ~1200~ 3x + 2y ≤ 18 1.5x + .75y ≤ 7.5 B.

  20. How many solutions does this system have?2x - 3y = 116x - 9y = 33 ~1500~ A. One C. Infinite B. Two D. None

  21. ANSWER ~1500~ C. Infinite

  22. Write an equation of the line that is parallel to y= 3x-4 and passes through point (0,-3). ~1750~ A. Y = 3x – 0 C. Y = 4x - 3 B. Y = 3x – 3 D. Y = 3x + 3

  23. ANSWER ~1750~ B. Y = 3x – 3

  24. Write the equation of the line through (4,5) and perpendicular to the line with equation 3x + 2y = -1. ~2000~ A. Y = 3x + 2 C. y = -5x + 1/2 D. y = 4x + 5 B. y = -3/2x – 1/2

  25. ANSWER ~2000~ B. y = -3/2x – 1/2

  26. Which equation is parallel tothe graphed line? ~2100~ A. Y = 4/5x + 2 C. Y = 5/4x + 2 B. Y = -5/4x + 2 D. Y = -4/5x + 2

  27. ANSWER ~2100~ A. Y = 4/5x + 2

  28. A small fast food restaurant invests $5,000 to produce a new food item that will sell for $3.49 each. Each item can be produced for $2.16. How many items must be sold to break even? ~2250~ A. 885 items C. 1433 items B. 2315 items D. 3760 items

  29. ANSWER ~2250~ D. 3760 items

  30. ~2500~ OPEN ENDED: A ticket office sells reserved tickets and general admission tickets to a rock concert. The auditorium normally holds no more than 5000 people. There can be no more than 3000 reserved tickets and no more than 4000 general admission tickets sold. Write a system of inequalities to represent the possible combinations of reserved tickets and general admission tickets that can be sold.

  31. ANSWER ~2500~ X + y ≤ 5000 X ≤ 3000 Y ≤ 4000

  32. Thanks for Playing!

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