Geometry/Congruence
Functions
Linear vs. Exponential
Writing Equations
Sequences
100
What is the symbol for congruence?
~=
100
What is the definition of a function?
For every input there is only one output
100
Does this table represent a linear function or an exponential function?
Bonus: Can you write the equation?
Linear!
y=-3x+8
100
Write an equation for the following situation:
Three less than twice a number is seventeen.
DO NOT SOLVE!
2x-3=17
100
What is the difference between an Arithmetic Sequence and a Geometry Sequence?
Answers may vary!
Arithmetic: adds the same amount each time
Geometric: multiplies the same amount each time
200
State the Pythagorean Theorem
a^2+b^2=c^2
200
Does this relation represent a function?
No. Input 9 maps to two different outputs (4 and 5).
200
Does this table represent a linear function or and exponential function?
Bonus: Can you write the equation?
Exponential!
y=1/4(2)^x
200
Write and equation for the following situation:
Lynn's grandpa giver her $120 for her birthday. She wants to buy a new laptop that costs $1349, so she decides to save that money and saves another $65 from her paycheck each month too. How long will she need to save before getting the laptop?
120+65x=1349
200
Describe how the following sequence is growing. Is it arithmetic or geometric?
Arithmetic
300
Are these two triangles congruent? Why or why not?
They are congruent!
All sides and all angles have corresponding congruent features.
300
Does this table represent a function?
No! Input 1 has two different outputs (6 and 4)
300
What is the general form for a linear equation?
y=mx+b
300
Write and equation for the following situation:
Brandon already has $25 saved. He earns $5 each week for doing extra chores. He wonders how much money he'll have after a certain number of weeks.
y=5x+25
300
What are the first 4 terms of the following sequence?
f(1)=17
f(n)=f(n-1)+3
17, 20, 23, 26
400
Can you name 4 triangle congruence theorems? (Bonus 100 pts if you can name all 5!)
SSS (Side, Side, Side)
SAS (Side, Angle, Side)
ASA (Angle, Side, Angle)
AAS (Angle, Angle, Side)
HL (Hypotenuse Leg)
400
If
f(x)=5x-3
then find
f(7)
f(7)=32
400
What is the general form for an exponential equation?
y=a(b)^x
400
Write an equation for the following situation:
There are 12 bacteria cells on your toothbrush. They triple every hour.
y=12(3)^x
400
What are the first 4 terms of the following sequence?
f(n)=4(3)^(n-1)
4, 12, 36, 108
500
Are these two triangles congruent? Why or why not?
Yes! By AAS!
500
Given
f(x)=5x-3 and g(x)=3x^2+8x
find
g(-6)
g(-6)=60
500
How would you write a linear equation that has a slope of 3 and goes through the point (-2,6)?
Hint: Use Point-Slope Form!
y-6=3(x+2)
500
Write and equation for the following situation:
Kerstin buys 3 pounds of sugar and 5 pounds of flour and spends $30. She wonders what the cost per pound is for each item.
3x+5y=30
500
Write a function for the following sequence of numbers:
9, 14, 19, 24, ...
Explicit:
f(n)=9+5(n-1)
Recursive:
f(1)=9
f(n)=f(n-1)+5