Solving System of Equations
Triangle Congruence
Arithmetic and Geometric Sequences
100
What is the Solution to the System of Equations
y = 2x+3
y= -x+1
(-2/3, 5/3)
100
What is the SSS property?
Give an example.
100
What is the common difference in the arithmetic sequence?
5, 8, 11, 14, ...
Common difference is 3.
200
Solve the following system using Substitution method.
2x + 3y = 12
y = x -2
(18/5, 8/5)
200
Name this congruence property
Angle-Angle-Side
AAS
200
Write the explicit equation of the arithmetic sequence
5, 8, 11, 14, ...
t(n) = ?
t(n) = 3n + 2
300
Explain what it means for a system of equations to have No Solutions. Prove this with an example.
Lines are Parallel. Give an example.
300
What Theorem allows us to use SAS congruence?
Vertical Angle Theorem.
300
What is the common ratio of the following Geometric sequence?
3, 21, 147, 1029, ...
Common ratio is 7
400
Solve the following system using Elimination method.
3x + 2y = 16
4x -2y = 10
(26/7, 17/7)
400
Solve for x.
x=9
400
Find the 10th term of the sequence:
3, 6, 12, 24, ...
t(10) = 1,536
500
A system of equations has one unique solution. What does this indicate about the graphs of the equations?
The two equations have different slopes and must intersect at a unique point.
500
What Two Properties/Theorems allow us to claim Triangle EFG is congruent to Triangle HGF
Reflexive property for side FG
Alternating Interior Angle Theorem (Z-Property)
<EGF congruent to <HFG
500
A geometric sequence has a first term of 4 and a common ratio of 3. what is the 6th term?
t(6) = 972