Number Systems
Functions
Geometry
Geometry Part 2
Potpourri
100
Simplify:
(3-2root3(64)+7)/4
What is
1/2
100
Name each function according to their parent function.
1. |x|=y
2. x=y
3. x2=y
What is
1. absolute value
2. linear
3. quadratic
100
Find the volume. Leave your answer in terms of pi and be sure to use the proper units.
V=1/3pir^2h
What is
pi km^3
100
Figure DEF is translated (x+4, y-3) to become figure MNO.
What are the vertices of triangle MNO?
What is
M: (7, 3)
N: (1, 1)
O: (4, -6)
100
Solve the equation:
4/3-2x=2+1/2x
What is
x=-4/15
200
The total area of the Pacific Ocean is approximately 1.65 x 108 square kilometers. The total area of the Arctic Ocean is approximately 1.4 x 106 square kilometers.
Part A: Write the area of the Arctic Ocean in standard form.
Part B: How many square kilometers larger is the Pacific Ocean than the Arctic Ocean? Express your answer in scientific notation.
A: What is 1,400,000 square kilometers?
B: What is 1.636 x 108 square kilometers?
200
Given
f(x)=-2x^2+3x-1
Find
f(-2)
f(-2)=-15
200
Find the volume of a cylinder with a diameter of 10mm and a height of 15mm. Use 3.14 for pi and be sure to use proper units.
V=pir^2h
What is
1177.5mm^3
200
Point W is located at (-3, -5) and undergoes a series of rotations. Identify the new location of point W if…
Part A: Point W is rotated 90 degrees counterclockwise. Label the new point A.
Part B: Point W is rotated 180 degrees clockwise. Label the new point B.
Part C: Point W is rotated 270 degrees counterclockwise. Label the new point C.
What is
A: A (5, -3)
B: B (3, 5)
C: C (-5, 3)
200
Which of the following relations is not a function?
y=sqrtx+2
y=8x
f(x)=x3–2
x=-5
None of the above
What is d?
300
Arrange the values from least to greatest:
10/3, 3.9, root3(27), sqrt14, pi
What is
root3(37), pi, 10/3, sqrt14, 3.9
300
Determine whether the following statements are true or false.
Function A:
f(x)=3x-2
Function B:
1. Function A’s rate of change is greater.
2. Function B’s y-intercept is greater.
3. Both functions represent a quadratic function.
4. If graphed these functions would intersect at exactly one point.
What is
1. False
2. True
3. False
4. False
300
A water tank is in the shape of a right circular cylinder with a height of 20 feet and a volume of
320pi
cubic feet. What is the diameter, in feet, of tank? Be sure to use proper units.
What is
8 ft
300
Find the measure of angle x.
What is 100 degrees?
300
Mr. Gibbons brought 6 popcorns and 2 Fenway Franks for $33. Mr. Yoruk brought 2 popcorns and 5 Fenway Franks for $37. Find the price of a Fenway Frank and the price of a popcorn.
What is Fenway Franks=$6 and popcorn=$3.50?