Exponential Functions
Simplifying Expressions & Inequalities
Sequences & Solving Equations
Linear vs. Exponential
Miscellaneous
100
Increase 350 by 12%.
392
100
State what type of line the inequality requires when graphing, and if the shading should be above or below the line.
y < 4x-5
Dotted line
Shade below
100
What is the difference between arithmetic and geometric sequences?
Arithmetic = ADDING same number each time
Geometric = MULTIPLYING same number each time
100
What is the fundamental difference between linear and exponential functions?
Linear functions have a constant rate of change (repeated addition)
Exponential functions do not have a constant rate of change (repeated multiplication).
100
What is the name of the most famous groundhog, who predicts the weather on February 2nd?
Punxsutawney Phil
200
Given the Exponential function below, state the b value.
b=0.9
200
Simplify the following:
b^-7
1/b^7
200
Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form.
2, 20, 200, ...
Geometric because repeated multiplication.
Common ratio is 10
200
Determine if the following graph is Exponential or linear:
Exponential
200
Which music artist won "Album of the Year" at the 2026 Grammys?
Bad Bunny
300
The equation
A=100(1.03)^X
is being used to calculate the amount of money in a savings account. What does 1.03 represent in this equation?
3% GROWTH
300
Simplify:
(x-3)^2
x^2-6x+9
300
8,17,26,...
Determine whether the sequence is arithmetic or geometric. Then find the 41st term.
Arithmetic
a41 = 368
300
Determine if the following scenario is linear or exponential. Explain your answer.
The number of cells in an organism doubles every four days.
Exponential, doubling means to multiply by 2 each time.
300
Where are the 2026 Winter Olympics being held?
Milan, Italy
400
Cars depreciate at approximately 15% per year. If a new car costs $24,000, how much will it be worth in 3 years?
$14,739
400
Write an expression that represents the following:
Increase 460 by 3.4%
Then find the result.
(460)(1.034)
=475.64
400
Solve the following equation for x:
6bx + c=g
x= (g-c)/(6b
400
Determine if the function would best be represented by a linear or exponential function. Explain your answer.
Exponential because it does not have a constant rate of change
400
What device was invented on Valentines Day?
The Telephone ☎
500
Construct an exponential model in the form y=a(b)^x. given the coordinates (0,120) and (4,390). Round the value of b to the nearest hundredth. Then, write the equation of the Exponential function.
b=1.34
y=120(1.34)^x
500
Simplify completely leaving no negative exponents:
(7xy^3)/(21x^6y^9
(1)/(3x^5y^6)
500
Solve the system of equations using elimination:
−9x+6y=30
x−y=−1
(-8,-7)
500
Given the following Exponential function:
- Identify whether the change represents growth or decay
- Then, determine the percentage rate of increase or decrease.
y=260(.13)^x
Exponential Decay, 87% decrease
500
A group of this animal is referred to as a "dazzle". What is the animal?
zebras