Arithmetic, Geometric, and Exponential
Systems of Equations
Geometry
Factoring
100
What is the Recrusive Formula?
5, -1 , -7, -13,...
f(n)=f(n-1)-6
f(0)=11
100
Solve the system
-4x+4y=8
9x-8y=-13
(3,5)
100
Find the measure of the missing angle:
98^@
100
Multiply
(2x-5)(3x-1)
6x^2-17x+5
200
Find the missing terms in the following Arithmetic sequence. 10, _____,_____ ,_____, 26
What is 14,18, and 22?
200
Solve the System
y=-3x+5
5x-4y=-3
(1,2)
200
Find the missing side length
7.1
200
Factor
4x^2+4x+1
(2x+1)(2x+1)
300
What is the equation?
y=4(1.5)^x
300
Solve the system
y=-2
4x-3y=18
(3,-2)
300
Solve for x:
x = 5
300
Factor
5x^3+10x^4
5x^3(1+2x)
400
What is the explicit formula
96, 48, 24,....
f(n)=192(.5)^n
400
Solve the system
-10x-4y=4
-5x-2y=6
No Solution
400
Complete the statement:
/_\ DBC
by A AS
400
Factor
2x^2+2x-12
2(x+3)(x-2)
500
What's the equation?
y=5(.8)^x
500
Write two equations. Don't solve
The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, how many of each type of ticket were sold?
s+a=530
3s+4a=1740
500
Solve for x
22°
500
Solve for x
2x^2+7x-15=0
x=3/2 and x=-5
600
What's the Equation that passes through (1,12) and (4, 768)?
y=3(4)^x
600
Write two equations. Don't solve
Ann and Betty together have $60. Ann has $9 more than twice Betty’s amount. How much money does each have?
a + b =60
a=9+2b
600
Solve for x.
x=8
600
Factor
4x^2-9
(2x+3)(2x-3)
700
What are the Explicit and Recursive formulas?
15, 30, 60, 120, ...
Explicit: f(n)=7.5(2)^n
Recursive:
f(n)=f(n-1)*2
f(0)=7.5
700
Solve the system
-7x+y=-19
-2x+3y=-19
(2,-5)
700
Solve for x:
x = 14
700
Solve for x
5x^2+10x=0
x=0 and x=-2
800
Find the missing terms in the following Geometric sequence. 7, ___ , ___, ____, 112
14,28,56
800
Write two equations and solve.
A movie theater charges $5 for an adult’s ticket and $2 for a child’s ticket. One Saturday, the theater sold 785 tickets for $3280. How many of each type of ticket were sold?
the theater sold 570 adult tickets and 215 children tickets
800
Write the statement:
/_\ DEF ~= /_\GHF
by SAS
800
Solve for x
-2x^2-2x+4
x=-2 and x=1