Words
Frick Frack
Skiing
Gross
Who's to Say?
100
The graph shown below represents the number of tickets that a theater must sell in order to generate $350 in revenue from ticket sales.
Interpret what the x-intercept means.
The x-intercept, (70, 0), shows that if the theater sells only adult tickets, they must sell 70 adult tickets in order to generate $350 in revenue.
100
Create a table for the function f(x)=3/2x - 3.
(Use 2 positive, 2 negative, and 0 as your values)
x | y
-2 | -6
-4 | -9
0 | -3
2 | 0
4 | 3
100
Graph y=2x+1
y-intercept: +1
slope: positive 2/1
100
Miles can run 15 kilometers in 45 minutes. It takes him 75 minutes to run 30 kilometers. What is the rate of change in the number of kilometers Miles can run per minute?
1/2 or 0.5
100
Fill in the values to create an arithmetic sequence:
-17, -9, __, __, 15, __
-17, -9, -1, 7, 15, 23
200
The equation 18x+9y=36 represents the number of pairs of fleece socks x and regular socks y that can be bought with $36. If no regular socks are bought, how many fleece socks can be bought?
x = 2
2 pairs of fleece socks
200
A venue charges a booking fee to rent the space for an event. In addition, they charge an hourly rate to staff the event. The function y=125x+750 represents the cost of an event y that lasts x hours.
What does 125 stand for? What does 750 stand for?
125: $125 charged per hour
750: $750 booking fee
200
In 2002, there were 164 seniors in the graduating class. In 2017, there were 185. What is the rate of change from 2002 to 2017?
7/5
200
Frank has $300 in a savings account. Each month, he withdraws $20 from his account. Graph this linear function showing Frank’s account balance.
y-intercept: 300
slope: -20
x-intercept: 15
200
5/3 students per month
or 1.7 students per month
300
Create a graph for the equation y = -3x - 4.
y-intercept: -4
slope: -3/1
300
Write terms 2, 3, and 4 of an arithmetic sequence where the first term is -17 and the common difference is 12.
-5, 7, 19
300
What is the slope of a vertical line?
What is the slope of a horizontal line?
Vertical: undefined
Horizontal: 0
300
The graph of g(x)=(x – 5) is what kind of transformation? How did it change from the parent function?
Translation to the right 5 units
300
A gym charges a monthly membership fee and an additional fee for each class attended. If the equation y=25x+50 represents the total cost y of attending x classes in a month, interpret the parameters of the function.
The gym charges a per class fee of $25. They also charge a flat rate of $50.
400
The slope of f(x) = -3/4x - 13 is steeper, less steep, or the same as the slope of g(x) = -7/8x - 13?
Less steep
400
State the domain and range of the following piecewise function:
Domain: {all real numbers}
Range: {all real numbers greater than 0}
400
Is the relationship between time and distance linear? Why or why not?
No because the rate of change is not the same for each second.
400
Identify each function as a dilation, translation, or reflection of the parent function:
g(x) = (3x)
h(x) = x - 1/2
j(x) = (-x)
Translation: h(x) = x - 1/2
Dilation: g(x) = (3x)
Reflection: j(x) = (-x)
400
What is the 24th term in the arithmetic sequence 32, 29, 26, 23, 20, ...?
-37
500
Tickets to an amusement park cost $35 for adults and $20 for children. The equation 35x+20y=140 shows how many adults x and children y can visit the amusement park with $140. If no children go, how many adults can go to the amusement park with $140?
4 adults
500
What is the difference between a step and a piecewise-defined function?
A step function has different constants over different intervals of its domain. A piecewise-defined function can have different algebraic rules over different intervals of its domain.
500
Which pair(s) of points form a line with a positive slope? Select all that apply.
A) (3, 2) and (-4, 0)
B) (7, −5) and (3, 1)
C) (−4, −4) and (−1, −8)
D) (2, 3) and (2, 9)
E) (−1, 4) and (5, 2)
A (2/7)
500
What is the transformation that occurs when each parameter is changed in f(x)=a|x–h|+k?
a: dilation
h: horizontal translation
k: vertical translation
500
Describe each transformation in h(x)= –(5x)-6 as it relates to the parent function f(x) = x.
Reflected across x-axis, horizontal compression by a factor of 1/5, and translated to the right 6 units