Unit 1 and 2
Ascending order: 4/3, -8, 10%, 1.25
-8, 10%, 1.25, 4/3
Proportionality on a graph = what 2 things?
1) Line must be straight
2) Line must go through the origin
What is the line of best fit?
Where is it located?
The line drawn on a scatterplot that represents the pattern of the data.
Line of best fit drawn through the middle of the data.
Pythagorean Theorem
What is a2 + b2 = c2
Look at the wall.
Lateral and Total Surface Area of a rectangular prism.
Lateral SA=55.25 m2
Total SA=88.25m2
Order the running times from fastest to slowest:
8(1/3), 700%, 8.3, square root 52
700%, square root 52, 8.3, 8(1/3)
fastest to slowest = smallest time to largest time
How to determine a function.
1) Vertical Line Test
2) x value (input) cannot have more than one y value (output)/x cannot repeat
$1500 was deposited into an account at 3.65% simple interest. What is the account balance after 24 months?
I = $109.50
Total account balance = $1609.50
If a rectangular field has a width of 40 ft and a diagonal length of 75 ft, what is the length?
Round to nearest hundreth.
402+b2=752
b=63.44 ft
Look at the wall.
Lateral and Total Surface Area of a Triangular Prism.
Lateral SA= 288in2
Total SA=339.8in2
True or False: pi is a rational number and a real number
False; it is real but irrational
Find the slope. (-2, 4) (5, -3)
m=-1
$3300 deposited into an account with 5.4% interest compounded annually. What is the interest in the account after 18 months?
A= $3,570.88
I= $270.88
If a square has a perimeter of 20 units graphed on a coordinate grid. It is dilated by a scale factor of 0.4 with the origin as the center of dilation.
What is the ordered pair for the new coordinates (the algebraic rule)?
(x,y)--> (0.4x,0.4y)
Volume of an ice cream cone with a radius of 5 ft. and a height of 12 ft.
Round to nearest tenth.
V=314.2 ft3
x = ?
4x-23 = 3x+5-x
x=14
Look at the graph on the screen.
Determine the equation for slope and y-intercept.
y=-3x-6
Based on the scatterplot on the screen, what is the prediction for the speed of sound when the air temperature is 50 degrees C?
About 360 m/s
Rule for 180 degree rotation
(x,y)--> (-x,-y)
Volume of a hemisphere with a diameter of 25 cm.
Round to the nearest tenth
4,090.6 cm3
3(2x-7)=-2x+3
x=3
Look at the Wall.
Carolyn collects stamps. She was given stamps by her grandfather to start her collection and she buys stamps every month. How many did her grandfather give her and how many stamps does she purchase a month?
Unit Rate = 50 stamps per month
Given 200 stamps to start collection
Based on the scatterplot on the screen, what is the best prediction for average number of hours of work a week a person spends if they spend about 10 hours a week on recreational activities?
About 65 hours
Look at the screen.
Figure S was dilated to Figure T. What is the rule that represents the dilation?
(x,y)--> (2x,2y)
new/original = scale factor
Volume and Surface Area of a Pringles can. Diameter of 3.5 inches and a height of 11.75 inches.
Use 3.14 for pi and round to the nearest hundredth.
Total Surface Area =148.37 in2
Volume = 112.99 in3