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ACT Problem

ACT Problem. Andrew won a cash prize on a game show. Andrew paid taxes of 30% on the original cash and had $35,000 remaining. How much was the original cash prize? $29,600 $38,300 $46,400 $50,000 $85,000. ACT Problem.

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ACT Problem

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  1. ACT Problem Andrew won a cash prize on a game show. Andrew paid taxes of 30% on the original cash and had $35,000 remaining. How much was the original cash prize? • $29,600 • $38,300 • $46,400 • $50,000 • $85,000

  2. ACT Problem Andrew won a cash prize on a game show. Andrew paid taxes of 30% on the original cash and had $35,000 remaining. How much was the original cash prize? Recall the last percentage problem. We took the original amount and subtracted the percentage of the sale. We now have the equivalent of the sale and need to find the price before.

  3. ACT Problem Andrew won a cash prize on a game show. Andrew paid taxes of 30% on the original cash and had $35,000 remaining. How much was the original cash prize? • $29,600 – (.3*29,600) = 29,600 – 8,880 = 20,720 • $38,300 – (.3*38,300) = 38,000 – 11,400 = 26,600 • $46,400 – (.3*46,400) = 46,400 – 13,920 = 32,480 • $50,000 – (.3*50,000) = 50,000 – 15,000 = 35,000 • $85,000 – (.3*85,000) = 85,000 – 25,500 = 59,500

  4. Friday Triangle Quiz • Sides of a triangle • Range of third side • Classifying triangles • Determining largest sides and angles • Bonus: Find the missing angle

  5. Testing Triangle Sides Can 2,3,7 be the sides of a triangle? No, because 2 + 3 = 5 and 5 < 7 Can 3,5,8 be the sides of a triangle? No, because 3 + 5 = 8 and 8 = 8 Can 5,8,10 be the sides of a triangle? Yes, because 5 + 8 = 13 and 13 > 10

  6. Finding the Range for the Third Side 2,4 2 < x < 6 Possible 3rd side: 2.1,3,4.6,5.7 Not possible: 1,2,6,7.8 11,35 24 < x < 46 Possible 3rd side: 24.3,25,33,40.5,45 Not possible: 22,24, 46, 47.2

  7. Classifying by Sides A triangle is scalene if no sides are the same length. A triangle is isosceles if exactly two sides are the same length. A triangle is equilateral if all sides are the same length.

  8. Classifying by Angles A triangle is acute if all the angle of the triangle are acute. A triangle is right if it has one right angle. A triangle is obtuse if it has one obtuse angle. A triangle is equiangular if all the angles are the same.

  9. Determining Triangles Can the points A (2,4), B (4,9), C (8,20) be the vertexes of the triangles? = = =

  10. Classifying Triangles Sides Scalene (0), Isosceles (2), Equilateral (3) Angle Acute, Right, Obtuse, Equiangular

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