Chapter 7 JeopardyAlgebra 1

Linear/Arithmeti

c

Exponential/

Geometric

Graphing

Potpourri

Systems of

Equations

100 100 100 100 100

200 200 200 200 200

300 300 300 300 300

400 400 400 400 400

The equation for the line that goes through these points (2,-5) and (6,1)

What is

32

1.5 8

or 8

y x

y x

Linear 100

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Linear 200 Back to game board

The explicit rule for the sequence: 1 1

2 22 ,4,5 ,...

Plus the next 3 terms

What is 12

1 12 2

( ) 1 (1 ) ,

or a variation of this

...6 ,8,9

a n n

Linear 300 Back to game board

Randall rode his bicycle at a fairly constant speed of 15 miles per hour in his section of the race. He was at mile marker 70 after 3 hours. At what mile marker did he start the race? What equation could be used to predict where he will be on the course at any time of the race?

What is mile marker 25? What is y=15x+25?

Linear 400

Find another point that is on the same line as the line that goes through these points. (-6,0) and (-5,2)

What is any point on the line 2 12

for example:( 4,4);( 3,6);( 2,8), .

y x

etc

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Exponential 100

Complete the table for this exponential growth problem. Write the rule.

What are

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x y

0

1 20

2

3 80

4

5

6x y

0 10

1 20

2 40

3 80

4 160

5 320

6 640

10 2xy and

Exponential 200

Continue the geometric sequence for 3 more terms, and then write an explict rule.0.5, 2.5, 12.5, . . .

What are 156.25... , ,

and ( )

31.25

(0.

6. 5

) 5

2

1 xg n

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A micro-biologist collected data on the population of the cancer cells in the sample. She determined that the cells were decreasing at a rate of 40% per hour once the chemo treatment was applied. She estimated there to be 2000 at the beginning of the experiment, write an equation that will model how the cells are declining that could then be used to find out how long before there are fewer than 10 cancer cells left.

Exponential 300

2000 0.6 or 10 2000 0.6

= # of cells, = # hours

x xy

y x

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Between 10 and 11 hours

Rafael borrowed $9000 to buy a car. The interest on the loan was 18% annual interest, compounded monthly. He was able to negotiate a loan, where he did not have to start making payments until the year was up. How much will he owe at the end of the year.

He will owe $10,760.56 at the end of one year.

120.18129000(1 )A

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Exponential 400

Graphing 100 Back to game board

Find the y-intercept for the graph at the left. Be sure to write it as an ordered pair.

What is (0,4.5) or9

0, ?2

Graph this function. Be sure to make a table of values first, and label vertex and point on each branch.

4y x

x y

0 4

1 3

2 2

3 1

4 0

5 1

6 2Graphing 200 Back to game board

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Graphing 300

Graph the function. Be sure to use a table of values and label a point on each branch plus the vertex.

2 6 8y x x

x Y

0 8

1 3

2 0

3 -1

4 0

5 3

Graphing 400 Back to game board

Find the equation represented by this graph.

400 0.5xy

Write the decimal number 248 in binary.

11111000two128 64 32 16 8 4 2 1

1 1 1 1 1 0 0 0

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Potpourri 100

Simplify: 3 2 7

4 3

2 15

6

a b ab

a b b

5

6

5b

aPotpourri 200 Back to game b

oard

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Potpourri 300

Solve for y:

7 3 24 42 10x y x

6y x

Simplify:

2132

16

x x

x

x3 46 6

16

x x

x

Potpourri 400 Back to game board

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Solve this system of equations by substitution. Be sure to check.

3 5

3 7

x y

y x

(2,1)Systems 100

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Systems 200

2 13

3 2 5

x y

x y

Solve this system of equations. Be sure to check.

(3, 7)

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Systems 300

4 5 9

6 7 28

x y

x y

Solve this system of equations. Be sure to check.

72 ,1 or (3.5,1)

3

2

32

16

a b

a b

Solve for a and b, then write an equation in the form:

xy a b

4, 2

4 2xa b

y

Systems 400

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The End