Set Theory & Probability
Data Display
Interval Notation/Domain and Range
Linear Modeling
Quadratic Modeling
100
If A = {10, 15, 20, 25, 30} and B = {10, 11, 12, 13, 14, 15} find A U B
{10, 11, 12, 13, 14, 15, 20, 25, 30}
100
In how many games did the team score more than 20 points?
7
100
Express the following in Interval Notation
-8 ≤ x < 8
[-8, 8)
100
Find the slope of the line that passes through the points (2, 4) and (6, 12).
2
100
If given the equation
y = 3(x + 5)2 - 4, what is the vertex of the parabola?
(-5, -4)
200
a) Draw the tree diagram for the following:
If you have 3 different types of bread (wheat, white, and rye) and 2 types of meat (turkey, ham) and 2 different types of cheese, (provolone, swiss), how many different sandwich combinations can you make?
b) How many sandwiches have turkey and swiss? Express as a reduced fraction.
on board
b) 1/4
200
What percent of the data is between 90 and 140?
50%
200
Write the following in interval notation
x < 8
(-∞, 8)
200
What is the equation in slope intercept form given the slope −3/4 and the point (−8,−1) ?
y = -3/4x - 7
200
Find the vertex of
f(x) = -x2 - 4x + 12
Hint: -b/2a gives you the x-value!
(-2, 16)
300
A die is rolled. What is the probability that the number rolled is greater than 2?
2/3
300
Which box and whisker plot shows the data more spread out, top or bottom plot?
bottom
300
Write the following in interval notation
x < 3 or x ≥ 5
(-∞, 3) U [5, ∞)
300
What is the equation of the line in slope intercept form that passes through the points (−2,−2) and (1,−5)
y = −x−4
400
You select a person. What's the probability they chose pizza and water?
58/400
400
Which box and whisker plot has a median of 50?
Plot 2
400
[-4, -1)
400
A plumber charges $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form for the cost, y, after x hours of service.
y = 50x + 5
400
Write the quadratic equation in standard form for the parabola above.
Hint: Find the solutions, and work backwards (w/ solving by factoring) to create factors that give the solutions.
Then FOIL is your last step....
x2-4x+3 = 0
500
What is the probability that a student plays on a sports team given they don't play an instrument? Give as a decimal rounded to nearest hundredth.
0.22
500
Quantitative vs. Categorical - classify each
"Where were you born?"
"When were you born?"
"where" = categorical
"when" = numerical
500
Find the domain and range.
D: all real numbers
R: [1, infinity)
500
Write the equation in point-slope form of the line that passes through the given point and has the given slope:
(-2, -1); m= -3
y + 1 = -3(x + 2)
500
Solve by factoring: 5x2 + 13x + 6 = 0
x = -2 and x = -3/5
600
If the letters of the word ALGEBRA were on tiles in a bag, what's the probability of drawing an "A", not replacing it, and drawing a "B"?
1/21
600
Using the ogive shown below, what is the cumulative frequency of data values less than or equal to 16 ?
30
600
Find the range.
[-7,2]
600
f(x)=x2−x−1; [−1,2]
Find the average rate of change of the function over the given interval
0
600
Use the quadratic formula to find the solutions for
y = -x2 - 5x + 12
