Module 1
A tree trunk has a diameter of 7 feet. How long must the chain be to fit around the tree?
C= pi d
C= 3.14 X 7
C= 21.98 feet
Do the following lengths make a triangle?
Yes or No.
Explain why!
5, 5, 10
No!
5+5=10
10 is the same as 10
The 2 shorter sides must be bigger than the third side!
Find the slope between the points (3,2) and (-1, -3)
5/4 or 1 1/4 or 1.25 (remember an improper fraction is preferred)
I flip a coin three times. Make a tree diagram showing all of the possibilities.
H T
H T H T
H T H T H T H T
Find the area of the triangle. Slide 7
24 cm squared
What would be the sales tax in PA of a car that is $42,000? (tax is 6%)
$2520
(3x2+6x-9)+(-2x2-16x+90)
x2-10x+81
Identify a point on the line:
y=5x-2
answers vary
What is an IQR? How do you find it?
Interquartile range- subtract Q3-Q1
Find the surface area of the triangular prism.
Slide 8
108 cm squared
In your new house you have a circular room with a diameter of 20 feet. You want to buy a carpet for the room. What is the area you need to cover?
20/2= 10 feet for radius
A= 3.14 X 10 squared
A= 314 ft squared
Solve for x:
2(x+2)=2x+4
all read numbers
Identify the range in the set of numbers below:
{(9,0), (5,4), (6, 7), (8, 7), (9, 5)}
{0, 4, 5, 7)
Which data has a greater variation? One with a MAD of 8 or one with a MAD of 9?
9- data on average is 9 away from the mean versus being 8 away from the mean
Give an example of the associative property of addition.
answers vary- change of grouping
(a+b)+c=a+(b+c)
Find the area of the shaded region. Round your answer to the thousandths place. Use 3.14 for pi.
See Slide 3
28.095 cm squared
Explain the difference between equilateral, isosceles, and scalene triangles.
Equilateral: all sides equal
Isosceles: 2 sides equal
Scalene: no sides equal
Is the following set a function? Explain why or why not.
{(9,0), (5,4), (6, 7), (8, 7), (9, 5)}
{(9,0), (5,4), (6, 7), (8, 7), (9, 5)}
No, when x=9 there are 2 outputs.
Find the median and mean of the data:
5 6 7 8 9 10 11 12 12 13
Median: 9.5
Mean: 9.3
Solve for x.
4(x+3)<72
x<15
You decide to push a barrel across a 100 foot wide parking lot. The barrel is 3 feet in diameter. How many rotations will the barrel need to roll across the parking lot?
C= 9.42 feet
100/9.42= 10.61 round up to 11 rotations
Solve:
0.04x+1=2.2
x=30
What is the shape of each graph?
a) y=2x-3
b) y= x2+2x+4
c) y=5
a) linear
b) parabola
c) horizontal line
Based on the array, what is the probability of getting an even sum?
1/2
On a day they were studying the deer population, Raul and Mia decided to figure out the number of deer in the park. Raul counted twice as many as Mia. If together they counted 405 deer, how many did Mia count? How many did Raul count? Use an equation and write your answer in a complete sentence.
m=Mia
2m- Raul
2m+m=405
Mia counted 135 deer and Raul counted 270 deer.