Act Math Study Cards

64 flashcards · Other · by Chloe Vincent

1. How do you convert a whole number?

   Multiply the whole number by the denominator and add that to the numerator.

2. How do you find a median?

   List all the numbers in a list then pick the middle number.

3. How do you find the mode?

   Find the number that appears the most often.

4. How do you find the range of a sequence of numbers?

   Subtract the smallest term from the largest term.

5. What is an acute angle?

   An angle greater than zero but less than ninety.

6. What is a right angle?

   An angle equal to ninety degrees.

7. What is an obtuse angle?

   An angle less than less than 180 but greater than 90.

8. What is a straight angle?

   An angle equal to 180 degrees.

9. What are complementary angles?

   Angles that total 90 degrees.

10. What are supplementary angles?

    Angles that total 180 degrees.

11. What is a reflex angle?

    An angle greater than 180 degrees but less than 360 degrees.

12. Are vertical angles equal?

    Yes.

13. What is an equilateral triangle?

    A triangle with 3 equal sides and 3 equal angles.

14. What is an isosceles triangle?

    A triangle with 2 equal sides and 2 equal angles.

15. What is a scalene triangle?

    A triangle with no equal sides and no equal angles.

16. Where is the largest angle of a triangle?

    Opposite the largest side.

17. In any triangle the sum of the lengths of two sides must be greater than the length of what?

    The third side.

18. What is the sum of the interior angles of any triangle?

    180 degrees.

19. The sum of two interior angles of one triangle should equal what?

    The exterior angle of the third remaining interior angle.

20. What is the area of a triangle?

    1/2 of the base times height. (1/2bh)

21. What is a quadrilateral?

    Any four sided figure.

22. What is the area of a rhombus?

    1/2 of the first diagonal times 1/2 the second diagonal. (1/2d1d2)

23. What is the area of a trapezoid?

    1/2 of base 1 plus base 2 times the height. (1/2(b1 + b2) h)

24. What is the area of a circle?

    Radius squared times pi. (r2)pi

25. What is the exterior angle measure of a polygon?

    360 degrees.

26. What is the interior angle measure of a polygon?

    Number of sides minus two times 180 degrees. (n-2)180

27. What is the volume of a cube?

    One side cubed. e3

28. What is the volume of a rectangular solid?

    Length times width times height. LWH

29. What is the volume of a cylinder?

    pi times radius squared times height. (pi r2)h

30. What is a chord?

    A line that connects any 2 points on a circle.

31. What is the longest chord?

    A diameter.

32. What is the circumference of a circle?

    Two times pi times radius or diameter times pi. (2 pi r), (d pi)

33. What is the length of AC if an inscribed angle equals 45 degrees?

    90 degrees.

34. How many times does a tangent touch a circle?

    Once.

35. What does the mnemonic Soh, Cah, Toa stand for?

    Sine equals Opposite/Hypotenuse, Cosine equals Adjacent/Hypotenuse, and Tangent equals Opposite/Adjacent.

36. Sine and Cosign can never be greater than ___?

    One.

37. The sine of one of the non-right angles in a right triangle equals ___?

    The cosign of the other non-right angle.

38. What is the Law of Cosigns?

    c2= (a2 + b2 - 2abcosC)

39. When you multiply or divide both sides of an inequality by a negative number what should you do?

    Reverse the direction of the inequality symbol?

40. Can you multiply and divide radicals like any other number?

    Yes.

41. How do you divide a complex imaginary number?

    Multiply by the conjugate of the denominator.

42. What is y=logax equal to?

    x=ay

43. Simplify logb(xy)

    logb(x) + logb(y)

44. Simplify logb(x/y)

    logb(x) - logb(y)

45. Simplify logb(xy)

    ylogb(x)

46. Simplify logbb

    1, one

47. What is e equivalent to?

    2.71828

48. What is In a = x equal to?

    logea = x, and ex = a

49. What is the midpoint formula?

    (x1 + x2)/ 2, (y1 + y2)/2

50. What is the distance formula?

    Sqrt of (x2 - x1)2 + (y2 - y1)2

51. What is the slope formula?

    y2 - y1/ x2 - x1

52. What is slope intercept form?

    y = mx - b, where m is slope and b is the y intercept.

53. What is the equation of a Parabola?

    y = a(x-h)2 + k, where h, k is the vertex.

54. What is the equation of a circle?

    (x - h)2 + (y - k)2= r 2 where h,k is the center of the circle, and r is the radius.

55. What is the equation of an ellipse?

    ((x-h)2/ a2) + ((y-k)2/b2) = 1

56. What is the equation of an Hyperbola?

    ((x-h)2/a2 - (y-k)2/b2) = 1

57. What is the general form of an equation?

    y = ax2 + bx + c

58. What is the axis of symmetry of a general form of an equation and also the x-coordinate?

    -b/2a

59. What is the formula for a combination?

    n!/r!(n-r)!

60. What is the formula for a permutation?

    n!/(n-r)!

61. How do you find the nth term of a arithmetic sequence where a1 is the first term and d is the common difference between the terms, and n is the position of the desired term?

    an = a1 + d(n-1)

62. How do you find the nth term of a geometric sequence where r is the common ratio?

    an = a1r(n-1)

63. When multiplying Matrix's they must have the same number ___ as ____?

    Columns as rows.

64. For the matrix |a b| what is the determinate? |c d|

    ad - bc