chapter 7 jeopardy algebra 1. linear/ arithmetic exponential/ geometric graphing potpourri systems...
TRANSCRIPT
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
Back to game board
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
Back to game board
Exponential 100
Complete the table for this exponential growth problem. Write the rule.
What are
Back to game board
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
Back to game board
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
Back to game board
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
Back to game board
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
Back to game board
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
Back to game board
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
Back to game board
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
Back to game board
Solve this system of equations by substitution. Be sure to check.
3 5
3 7
x y
y x
(2,1)Systems 100
Back to game board
Systems 200
2 13
3 2 5
x y
x y
Solve this system of equations. Be sure to check.
(3, 7)
Back to game board
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
Back to game board
The End