Vocabulary
Arithmetic Sequences
Linear Graphs
Domain and Range
Evaluating Functions
100
What is the term for the constant amount added or subtracted between consecutive terms of a sequence?
Common Difference
100
Is this an arithmetic sequence? 48, 41, 34, 27, ...
Why or Why Not?
Yes. It has a common difference of -7.
100
Name THREE things you know about Domain
x-values
Input
x-axis
Left to Right
100
A function is defined as f(x) = 4x - 7.
What is the value of f(6)?
17
200
What is x and y?
Input and Output
200
For the following arithmetic sequence: 8, 13, 18, 23, ...
What is a26?
133
200
Name THREE things you know about Range
y-values
Output
y-axis
Bottom to Top
200
A bowling alley charges a $6 entrance fee plus $4 for each game. The function f(x) = 4x + 6 represents the total cost for x games.
How much will it cost to bowl 5 games?
$26
300
What is the name of the point where a graph crosses the y-axis?
Y-Intercept
300
Which function models the sequence: 12, 7, 2, -3, ...
f(x) = -5x + 17
300
Which of the following functions has the values of its range decrease as the values in its domain increase?
A. f(x) = 4x + 1
B. f(x) = -3x + 7
C. f(x) = 2x - 4
D. f(x) = - 2
B. f(x) = -3x + 7
300
A babysitter charges a $10 starting fee plus $8 for each hour of babysitting. The function f(x) = 8x + 10 represents the total amount earned after x hours.
How much does the babysitter earn after 9 hours?
$82
400
Name THREE things m represent in the linear equation y = mx + b.
Slope
Common Difference
Rate of Change
400
An arithmetic sequence has a1 = 17 and d = -8. What is a12?
-71
400
A water tank is being filled. The amount of water in the tank can be represented by the function f(t) = 5t + 20 where t represents the number of minutes and f(t) represents the amount of water in gallons.
Which statements correctly interpret the function? Select all that apply.
A. The initial amount of water is 5 gallons.
B. The amount of water increases by 5 gallons each minute.
C. The initial amount of water is 20 gallons.
D. The amount of water decreases by 5 gallons each minute.
B and C
400
Which of the following functions has the values of its range increase as the values in its domain increase?
A. f(x) = -5x + 12
B. f(x) = -2x + 6
C. f(x) = 4x - 9
D. f(x) = -3
C. f(x) = 4x - 9
400
A gym charges a $25 monthly membership fee plus $3 for each fitness class a member attends. In March, Marcus attended 8 classes and paid $49. How much will Marcus pay in April if he attends 12 classes?
$61
500
Name TWO things b represent in the linear equation y = mx + b.
Y- Intercept
Starting Point
500
An arithmetic sequence has a1 = 15 and a10 = 195.
What is the explicit formula for the nth term?
an = 15 + 20(n-1)
500
C
500
The equation below describes a linear function. y = -2(x+1) + 4
The range of the function is {-4, -2, 4}. What is the domain of the function?
A. {-3, -2, 1}
B. {2, -1, -4}
C. {3, 2, -1}
D. {-2, 1, 4}
C. {3, 2, -1}
500
A streaming service charges a $15 monthly fee plus $2 for each movie rented. In June, Taylor rented 6 movies and was charged $27. How much will Taylor be charged in July if she rents 10 movies?
$35