Transcript Alg 2 Chapter 1 Jeopardy

Mathematics Jeopardy…
Foundations for Functions
Today’s Categories…
Terminology
 Sets of Numbers
 Square Roots
 Exponents
 Relations and Functions
 Transformations

Terms
Sets of
Numbers
Square
Roots
Exponents
Relations &
Functions
Transformations
$100
$100
$100
$100
$100
$100
$200
$200
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$200
$200
$200
$300
$300
$300
$300
$300
$300
$400
$400
$400
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$400
$400
$500
$500
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$500
$500
Final Jeopardy
Terminology - $100
The additive inverse of a number is its what?
Opposite
Back to Board
Terminology - $200
What does the commutative property
allow us to do?
Rearrange terms when adding or
multiplying
Back to Board
Terminology - $300
Name the order of operations.
1. Parenthesis
2. Exponents
3. Multiplication and Division
4. Addition and Subtraction
Back to Board
Terminology - $400
What is a relation?
A pairing of input values
with output values
Back to Board
Terminology - $500
Which is the dependent variable and why?
f  x   12  2 x
F(x) is because it’s value depends on what
x is
Back to Board
Sets of Numbers - $100
What set of numbers is also known as
the counting numbers?
The Natural Numbers
Back to Board
Sets of Numbers - $200
Which set best describes the following
numbers?
2
3
15
6
7
0
Rational Numbers
Back to Board
Sets of Numbers - $300
Which shows the odd numbers 1 through
10 in roster notation?
A. {3, 5, 7, 9}
B. {1,3,5,7,9}
C. {x|1<x<10 and x is odd}
D. [1,10]
B. {1,3,5,7,9}
Back to Board
Sets of Numbers - $400
Which shows the correct interval notation
for 3<x<7?
A. (3,7)
C.
(3,7]
B. [3,7]
D.
[3,7)
A. (3,7)
Back to Board
Sets of Numbers - $500
Sets can be written in roster notation,
interval notation, and what other type?
Set-builder Notation
Back to Board
Square Roots - $100
Round
14
to the nearest whole
number.
4
Back to Board
Square Roots - $200
18
Simplify.
3 2
Back to Board
Square Roots - $300
DAILY DOUBLE!!!
Square Roots - $400
3
5
What would I multiply the numerator and
denominator by if I wanted to rationalize?
5
Back to Board
Square Roots - $500
2 6  24
What would I have to do in order to
complete the addition?
Rewrite
24
as
2 6
Back to Board
Exponents - $100
Solve.
0
58, 423
1
Back to Board
Exponents - $200
What is the expanded form of the following?
2 x ( y  1)
2
3
2(x)(x)(y-1)(y-1)(y-1)
Back to Board
Exponents - $300
Which is the simplified form of the following
expression?
2
4x
2 x

2 2
A.
1
2x 6
C.
2
x8
B.
2
x6
D.
4
2x 6
B
Back to Board
Exponents - $400
Name two of the five properties of exponents.
Any of the following: Product of Powers,
Quotient of Powers, Power of a Power,
Power of a Product, Power of a Quotient
Back to Board
Exponents - $500
Explain the steps when multiplying these
two expressions in scientific notation.
 3.47 10 1.9110 
6
5
Multiply the numeric parts and the powers
of 10 separately. Then simplify.
Back to Board
Relations & Functions - $100
Is the following a function?
Mapping each student to their letter grade
in math class.
Yes!
Back to Board
Relations & Functions - $200
Give the domain of the following.
Mapping the face numbers on a clock to
their corresponding number of seconds
D:{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
Back to Board
Relations & Functions $300
Why is the following not a function?
Because the vertical line test fails at x=2
Back to Board
Relations and Functions - $400
Give the range of the following.
R:{-4, -2, -1, 0, 3}
Back to Board
Relations & Functions - $500
Explain in words, what a function is.
A function is a relation in which the input
values are never repeated.
Back to Board
Transformations - $100
What are the three types of transformations?
Translations, Reflections, and
Stretches/Compressions
Back to Board
Transformations - $200
Would a translation 3 units to the left
change the x or y coordinate?
x
Back to Board
Transformations - $300
Would a reflection over the x-axis change
the x or y coordinate?
Y! (because I said so)
Back to Board
Transformations - $400
Where would the point (3,-6) end up if we
reflected it over the x-axis?
(3,6)
Back to Board
Transformations - $500
I want to compress a function vertically by
a factor of 1 .
3
If a point started at (6, 9), where would it
end?
(6, 3)
Back to Board
Daily Double

Specify Your Wager!
Square Roots --When Simplifying Square Roots, we use
two main properties. Name them.
The Product Property of Square Roots and the
Quotient Property of Square Roots.
Back to Board
Final Jeopardy!!
Specify your wager!
Name 2 real-world situations where
we would have to use information
from this chapter. Back up your
answer.