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Jeopardy!Inverse & Direct
VariationRational
EquationsIdentifying
GraphsSimplifying Expressions
Graphing Functions
100 100 100 100 100
200 200 200 200 200
300 300 300 300 300
400 400 400 400 400
500 500 500 500 500
FinalJeopardy
Inverse & Direct Variation100
Answer
Does the following chart represent direct or inverse variation?
Time Distance
1 hr 5 mi
3 hrs 15 mi
5 hrs 25 mi
10 hrs 50 mi
Inverse & Direct Variation200
Answer
x and y vary inversely. Use the given values to write an equation relating x and y.
€
x =4
3, y = −6
Inverse & Direct Variation300
Answer
l varies jointly with m and n. Use the given values to write an equation relating l, m, and n.
€
l = 4, m =8
3, n =
−1
2
Inverse & Direct Variation400
Answer
z is related directly with x and inversely with y. Use the given values to write an equation relating x, y, and z.
€
x = 4, y = 5, z = 2
Inverse & Direct Variation500
Answer
Give an example (that we have not discussed in class) of a situation that has variables which
are inversely related.
Rational Equations100
Answer
€
4
2x=
5
x + 6
Rational Equations200
Answer
€
x − 3
x − 5=
x
x + 2
Rational Equations300
Answer
€
x + 3
x − 3+
x
x − 5=
x + 5
x − 5
Rational Equations400
Answer
€
1
x − 2+ 2 =
3x
x + 2
Rational Equations500
Answer
€
6x
x + 4+ 4 =
2x + 2
x −1
Identifying Graphs100
Answer
€
y =2
x − 2+ 3
Which graph does the following equation represent?
Identifying Graphs200
Answer
Which graph does the following equation represent?
€
y =1
x +1− 3
Identifying Graphs300
Answer
€
y =3x + 2
x + 2
Which graph does the following equation represent?
Identifying Graphs400
Answer
Which equation does the following graph represent?
€
y =3
x 2 − 3
€
y =3
x 2 − 9
Identifying Graphs500
Answer
€
y =x 3 − 8
x 2 −1
Which graph does the following equation represent?
Simplifying Expressions100
Answer
€
(x + 3)(x − 2)
x(x +1)÷
x + 3
x
Simplifying Expressions200
Answer
€
x 2 − 3x −10
x 2 − 2x −15× (x 2 +10x + 21)
Simplifying Expressions300
Answer
€
x 2 − x − 2
x 2 + 4x − 5÷
x − 2
5x + 25
Simplifying Expressions400
Answer
€
x 2 − 5
x 2 + 5x −14−
x + 3
x + 7
Simplifying Expressions500
Answer
€
3
x − 2−
6
x 2 − 43
x + 2+
1
x − 2
Graphing Functions100
Answer
Graph the following function. Put your answer on the board.
€
f (x) =2
x − 3+1
Graphing Functions200
Answer
Graph the following function. Put your answer on the board.
€
f (x) =3x − 4
x +1
Graphing Functions300
Answer
Graph the following function. Put your answer on the board.
€
f (x) =5
x 2 − 4
Graphing Functions400
Answer
Graph the following function. Put your answer on the board.
€
f (x) =5x
x 2 + 4
Graphing Functions500
Answer
Graph the following function. Put your answer on the board.
€
f (x) =−3x 3
x −1
Answer:Inverse & Direct Variation
100
Direct
Answer:Inverse & Direct Variation
200
€
y =−8
x
Answer:Inverse & Direct Variation
300
€
l = −3mn
Answer:Inverse & Direct Variation
400
€
z =5x
2y
Answer:Inverse & Direct Variation
500
I decide!
Answer:Rational Equations
100
€
x = 4
Answer:Rational Equations
200
€
x =3
2
Answer:Rational Equations
300
€
x = 0, 7
Answer:Rational Equations
400
€
x =1, 6
Answer:Rational Equations
500
€
x = −3
(x =1 is extraneous)
Answer:Identifying Graphs
100
Answer:Identifying Graphs
200
Answer:Identifying Graphs
300
Answer:Identifying Graphs
400
€
y =3
x 2 − 9
Answer:Identifying Graphs
500
Answer:Simplifying Rational Expressions
100
€
x − 2
x +1
Answer:Simplifying Rational Expressions
200
€
x 2 + 9x +14
Answer:Simplifying Rational Expressions
300
€
5x + 5
x −1
Answer:Simplifying Rational Expressions
400
€
1− x
(x + 7)(x − 2)
Answer:Simplifying Rational Expressions
500
€
3x
4x − 4
Answer:Graphing Rational Functions
100
Answer:Graphing Rational Functions
200
Answer:Graphing Rational Functions
300
Answer:Graphing Rational Functions
400
Answer:Graphing Rational Functions
500
Final Jeopardy
Give the definition of a rational function.
A rational function has the form:
€
f (x) =p(x)
q(x)
where p(x) and q(x) are polynomials and q(x) does not
equal zero.