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.