Roots and Exponents
Find the value of the expression:
35
243
Solve for x
100 / (5x)2 = 25
x = 2/5
Simplify (7m)/4 : (21m)/4
1/3
y= -2x + 100
-2/1
What are the internal angles of an equilateral triangle ?
60 degrees
Evaluate the square root of 64/225.
8/15
Solve 2x-5+3x+8=18 for the given variable.
x=3
Simplify
3x2 + 2x(3x + 2y) - 5y
9x2 + 4xy - 5y
What is the equation of a line that is horizontal and goes through the y axis at -3?
y=-3
What is the area of an equilateral triangle with side 6 cm?
15 cm2
Will 10045-9 be positive or negative?
negative (power is odd)
(x+5)(5x+1)(x-1) = 0
What are all the possible values of x?
(x+5)(5x+1)(x-1)
x=-5, x=-1/5, x=1
Factor the following expression
24x2-30x-9xy
3x(8x-10-3y)
Find the slope for the following set of data.
x1=1, y1=217
x2=2, y2=434
x3=3, y3=651
x4=4, y4=868
m=217
In a sector of a circle (radius=10 cm), with an angle measure of 120 degrees, find the area of the sector to the nearest cm.
105 cm2
Evaluate
(50 + 51 + 52 + 53)
156
Solve the equation 100=8x2 for x. Your answer should be fully reduced and rationalized.
5/(sqrt 2)
Determine the height of a tree (to the nearest foot) if you are 10 feet away from the tree and your angle of sight is 55 degrees above the horizon. You are 5 feet tall.
19 feet
If you graphed the following the following two lines
y=2/3x - 4?
-y= -12/18x + 4
What would you notice?
They are exactly the same
What are the dimensions of the square that has the perimeter and the area equal in value?
square with side length = 4 units
Use the Pythagorean Theorem to find the unknown lengths.
If a=8 and b=6, c=_____.
c=10.
Solve for x in the equation. Your answer should be fully reduced and rationalized.
500=0.5(6)x2
x=(10 sqrt 15)/3
The line of sight from a small boat to the light at the top of a 35-foot lighthouse built on a cliff 25 feet above the water makes a 25° angle with the water. To the nearest foot, how far is the boat from the cliff?
128 ft
What is the equation of a line that would be perpendicular to the line provided below.
y= -3/5x + 2
y = 5/3x + 2
In a circle, a square has all its vertices on the circle and is inside of it. The area of the square is equal to 400 cm2. What is the area of the circular shape?
200 x pi