At Some Point We Have to Draw the Line
Slippery Slope
Sequins
Butterflies
All of the Above
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
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.
100
The graph of g(x)=(x – 5) is what kind of transformation? How did it change from the parent function?
Horizontal translation to the right 5 units
100
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.
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
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
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)
200
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)
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
300
Create a graph for the equation y = -3x - 4.
y-intercept: -4
slope: -3/1
300
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
300
Fill in the values to create an arithmetic sequence:
-17, -9, __, __, 15, __
-17, -9, -1, 7, 15, 23
300
The graph of h(x) = -(8x) is the graph of the parent function compressed horizontally and reflected over which axis?
x-axis
300
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
400
Graph y=2x+1
y-intercept: +1
slope: positive 2/1
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
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
400
What transformations occur with g(x)= -3(x + 7) in relation to the parent function? Select from the list below.
1) Reflection across x-axis
2) Reflection across y-axis
3) Vertical Stretch
4) Horizontal Compression
5) Translated Left 7 units
6) Translated Up 7 units
1, 3, 5
400
5/3 students per month
or 1.7 students per month
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
Create a graph for y = -5.
Horizontal line at y=-5
500
What is the 24th term in the arithmetic sequence 32, 29, 26, 23, 20, ...?
-37
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
500
Graph 2x + 9y = -18 using the x- and y-intercepts.
x-intercept: -9
y-intercept: -2