Word Problems
Sequences
Graphs
Number Knowledge
Functions
100
Auzirian buys a sports car for $48,000. The value of the car depreciates by 2% each year. The car has 4 tires and is this really cool blue color. How much will Auzirian's car be worth after owning it for 7 years?
What is the initial value in the situation above?
$48,000
100
Does an arithmetic sequence show a linear or exponential function?
Linear
100
What is the y-intercept of the graph below?
(0,20)
100
Identify the following as a rational or irrational number:
sqrt(49)
Rational
Sqrt(49)=7
100
What is the y-intercept of
y=15x-9
(0,-9)
200
Tanzania owns a pair of Louboutins that are worth $1,000. Each year the value of the shoes increases by $100.
True or False: The shoe value increases by a constant rate each year.
True
Increasing by a fixed amount -> Arithmetic -> constant rate
200
Determine which of the following is an arithmetic sequence/linear function:
A. 5, 15, 125, 625, ...
B. 4, 8, 12, 16 ...
C. 2, 4, 8, 16, ...
B. 4, 8, 12, 16 ...
Common difference: +4
200
The following graph shows a linear or exponential function?
Linear
200
Identify the following as a rational or irrational number:
sqrt(11)
Irrational
200
is the general equation for a linear or exponential function?
Exponential
300
Mia owns a vintage record that goes up 1.2% in value every year since it was released.
True or False: The record value increases by a constant rate each year.
False
1.2% increase = value(.012)
Multiplication -> geometric -> not a constant rate
300
True or False:
Exponential Functions/Geometric Sequences show a constant rate of change.
False.
Linear Functions/Arithmetic Sequences show a constant rate of change.
300
The following graph shows a linear or exponential function?
Exponential
300
Would the following multiplication produce a rational or irrational number?
2/3(sqrt11/4)
Irrational
(3sqrt11)/2
300
Which statement is FALSE for exponential functions:
A. The function is represented by a geometric sequence.
B. The function includes a constant rate of change.
C. The growth factor is the same for equal intervals of the function.
B. The function includes a constant rate of change
400
Cameron opened a savings account and saves the same amount of money each month. The total amount in his account, A, after m months is given by the equation below.
A=25m+150
What does the 150 in this equation represent, in this context?
The starting amount in the account.
400
How do we find the common ratio of a geometric sequence?
Divide the second term by the first term
(2nd)/(1st)
400
Write an equation for the graph shown:
y=2/3x+3
400
Would the following multiplication produce a rational or irrational number?
2/3(7/sqrt25)
Rational
2/3(7/sqrt25)=2/3(7/5)=14/15
400
Which table shows an exponential function?
Table A
-> Table A shows a common ratio of 2
-> Table B shows a common difference of 2
500
Caiden bought a new video game where his goal is to find stars. Points are awarded as follows:
If x represents the number of diamonds found and y represents the total number of points, write an equation that models the points awarded for finding stars in this video game.
y=10x+15
Explenation:
y=d(x-1)+a
y=10(x-1)+25
y=10x-10+25
y=10x+15
500
Which table shows a function that increases at a faster rate than the others?
Table A
Reason:
-> Table A is being multiplied by 2 each time
-> Table B is adding 10 each time
--> Table A will increase faster than table B
500
Write an equation for the graph shown
y=5(2^x)
500
Would the following multiplication produce a rational or irrational number?
0.25(sqrt64/2)
Rational
0.25(sqrt64/2)=1/4(8/2)=1/4(4)=1
500
f(1)=6
f(x)=f(x-1)+3
Find
f(2)
f(2)=9
f(2)=f(2-1)+3
f(2)=f(1)+3
f(2)=6+3
f(2)=9