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Operations on Real Numbers

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Presentation on theme: "Operations on Real Numbers"— Presentation transcript:

1 Operations on Real Numbers
Jeopardy Operations on Real Numbers Properties of Real Numbers Exponents Geometry Polynomials Q $100 Q $100 Q $100 Q $100 Q $100 Q $200 Q $200 Q $200 Q $200 Q $200 Q $300 Q $300 Q $300 Q $300 Q $300 Q $400 Q $400 Q $400 Q $400 Q $400 Q $500 Q $500 Q $500 Q $500 Q $500 Double Jeopardy

2 $100 Question from H1 Simplified form of

3 $100 Answer from H1 What is a9 ? Questions

4 $200 Question from H1 Simplified form of

5 $200 Answer from H1 What is a24 ? Questions

6 $300 Question from H1 Expanded form of 2.3 x 104

7 $300 Answer from H1 What is 23,000? Questions

8 $400 Question from H1 Expanded form of 2.0 x 10-1

9 $400 Answer from H1 What is 0.2? Questions

10 $500 Question from H1 Simplified form of

11 $500 Answer from H1 What is 5? Questions

12 Term given to the symbol:
$100 Question from H2 Term given to the symbol:

13 $100 Answer from H2 What is a radical sign? Questions

14 Mathematical operation defined as: a – b = a + (-b)
$200 Question from H2 Mathematical operation defined as: a – b = a + (-b)

15 What is the operation of subtraction ?
$200 Answer from H2 What is the operation of subtraction ? Questions

16 Term given to the expression,
$300 Question from H2 Term given to the expression, where x  0.

17 $300 Answer from H2 What is the reciprocal of x? Questions

18 Term given to the distance between 0 and a point x on the number line.
$400 Question from H2 Term given to the distance between 0 and a point x on the number line.

19 What is the absolute value of x?
$400 Answer from H2 What is the absolute value of x? Questions

20 + or – (from left to right)
$500 Question from H2 Parentheses Exponents  or  (from left to right) + or – (from left to right)

21 $500 Answer from H2 What is the order of operations ? Questions

22 The sum of the angles within this polygon equals 180
Question H3 $100 The sum of the angles within this polygon equals 180

23 $100 Answer from H3 What is a triangle? Questions

24 A formula used to compute the area of a square with sides of length x
$200 Question from H3 A formula used to compute the area of a square with sides of length x

25 $200 Answer from H3 What is A = x2 ? Questions

26 Term used to measure the distance around a circle
$300 Question from H3 Term used to measure the distance around a circle

27 $300 Answer from H3 What is circumference? Questions

28 $400 Question from H3 A = ½bh

29 What is the formula for the area of a triangle? $400 Answer from H3
Questions

30 $500 Question from H3 A formula to compute the perimeter of a rectangle of length, L, and width, W

31 $500 Answer from H3 What is P = 2L + 2W? Questions

32 $100 Question from H4 A polynomial of two terms

33 $100 Answer from H4 What is a binomial? Questions

34 Numerical factor within a monomial
$200 Question from H4 Numerical factor within a monomial

35 What is the coefficient?
$200 Answer from H4 What is the coefficient? Questions

36 A polynomial containing
$300 Question from H4 A polynomial containing three terms

37 $300 Answer from H4 What is a trinomial? Questions

38 $400 Question from H4 Term of highest degree within a polynomial

39 What is the leading term
$400 Answer from H4 What is the leading term of the polynomial? Questions

40 on the variable factors
$500 Question from H4 This term defines the sum of the exponents on the variable factors within a monomial.

41 $500 Answer from H4 What is the degree? Questions

42 Property demonstrated by a(b + c) = ab + ac
$100 Question from H5 Property demonstrated by a(b + c) = ab + ac

43 What is the Distributive Property of multiplication over addition?
$100 Answer from H5 What is the Distributive Property of multiplication over addition? Questions

44 Property demonstrated
$200 Question from H5 Property demonstrated by a.1 = a

45 What is the identity property of multiplication? $200 Answer from H5
Questions

46 Property demonstrated
$300 Question from H5 Property demonstrated by a + b = b + a

47 What the Commutative Property of Addition?
$300 Answer from H5 What the Commutative Property of Addition? Questions

48 Property demonstrated
$400 Question from H5 Property demonstrated by a + (-a) = 0

49 What is the Inverse Property of Addition? $400 Answer from H5
Questions

50 Name of the property that is used to factor out the
$500 Question from H5 Name of the property that is used to factor out the greatest common factor from a polynomial expression.

51 What is the distributive
$500 Answer from H5 What is the distributive property of multiplication over addition? Questions

52 Double Jeopardy Think “Radically” Anything Goes Graphing Functions
Systems Q $200 Q $200 Q $200 Q $200 Q $200 Q $400 Q $400 Q $400 Q $400 Q $400 Q $600 Q $600 Q $600 Q $600 Q $600 Q $800 Q $800 Q $800 Q $800 Q $800 Q $1000 Q $1000 Q $1000 Q $1000 Q $1000 Final Jeopardy.

53 Point where a graph crosses the y-axis
$200 Question from H1 Point where a graph crosses the y-axis

54 $200 Answer from H1 What is a y-intercept? Questions

55 $400 Question from H1 Name assigned to the formula y – y1 = m(x – x1)

56 $400 Answer from H1 What is the point-slope formula? Questions

57 Description of a line whose Equation is x = k (where k is a constant)
$600 Question from H1 Description of a line whose Equation is x = k (where k is a constant)

58 $600 Answer from H1 What is a vertical line? Questions

59 $800 Question from H1 Slope of a horizontal line

60 $800 Answer from H1 What is zero? Questions

61 Characterization of two lines whose slopes are
$1000 Question from H1 Characterization of two lines whose slopes are

62 What are perpendicular
$1000 Answer from H1 What are perpendicular lines? Questions

63 The set of all x values that make a function, y = f(x), defined.
$200 Question from H2 The set of all x values that make a function, y = f(x), defined.

64 $200 Answer from H2 What is the domain of f? Questions

65 Name assigned to a function of the form f(x) = ax2 + bx + c
$400 Question from H2 Name assigned to a function of the form f(x) = ax2 + bx + c (where a  0)

66 What is a quadratic function?
$400 Answer from H2 What is a quadratic function? Questions

67 Name assigned to a function of the form f(x) = mx + b
$600 Question from H2 Name assigned to a function of the form f(x) = mx + b

68 $600 Answer from H2 What is a linear function? Questions

69 For a function defined by y = f(x), it’s the set of all y values.
$800 Question from H2 For a function defined by y = f(x), it’s the set of all y values.

70 $800 Answer from H2 What is the range? Questions

71 produce a graph of this shape
$1000 Question from H2 An equation that could produce a graph of this shape

72 $1000 Answer from H2 What is y = x2 ? Questions

73 $200 Question H3 Simplified form of i22

74 $200 Answer from H3 What is –1 ? Questions

75 $400 Question from H3 Simplified form of

76 $400 Answer from H3 What is 4? Questions

77 $600 Question from H3 Simplified form of

78 $600 Answer from H3 What is 5x ? Questions

79 $800 Question from H3 Simplified form of

80 $800 Answer from H3 What is 6|y| ? Questions

81 $1000 Question from H3 Solution to the equation

82 $1000 Answer from H3 What is 16? Questions

83 system of linear equations
$200 Question from H4 Term used to define a system of linear equations having one or more solutions.

84 $200 Answer from H4 What is a consistent system? Questions

85 Term used to define equations within a linear
$400 Question from H4 Term used to define equations within a linear equations having infinitely many solutions

86 $400 Answer from H4 What are Dependent equations? Questions

87 Number of solutions to an inconsistent system of linear equations
$600 Question from H4 Number of solutions to an inconsistent system of linear equations

88 $600 Answer from H4 What is zero? Questions

89 $800 Question from H4 Method used to solve a system of linear equations by graphing the equations and noting the point of intersection.

90 $800 Answer from H4 What is the graphing method? Questions

91 $1000 Question from H4 The principle behind this method is to obtain opposite coefficients for either the x or y terms and then add the equations

92 (or elimination method)?
$1000 Answer from H4 What is the addition method (or elimination method)? Questions

93 Names of perfect cats shown here.
$200 Question from H5 Names of perfect cats shown here.

94 $200 Answer from H5 Who are Sine ane Cosine? Questions

95 $400 Question from H5 Conjugate of a + bi

96 $400 Answer from H5 What is a – bi? Questions

97 $600 Question from H5 For real numbers A and B, this is the distance between them on a number line

98 $600 Answer from H5 What is |A – B| or |B – A|? Questions

99 The factored form of this expression is
$800 Question from H5 The factored form of this expression is (a – b)(a2 + ab + b2)

100 $800 Answer from H5 What is a3 – b3? Questions

101 This is the degree of the polynomial
$1000 Question from H5 This is the degree of the polynomial 3x2y7 + 4x3y2 + 8y6

102 $1000 Answer from H5 What is 9? Questions

103 College that served as gracious host to this event
Final Jeopardy College that served as gracious host to this event

104 Final Jeopardy Answer What is Durham Tech? Questions

105 Study hard, invest in yourself!
Best wishes on the Final Exam!


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