Trigonometry (long questions)
a2+b2=c2
When you multiply two variables with exponents that contain the same base, what do you do to the exponents.
Add them
What is the degree of the monomial below:
5x3y4z
8th degree
We call this slope intercept form
y=mx+b
Two lines that never meet are considered to be
parallel
The sum of all interior angles in any given triangle
180 degrees
Write the following radical expression as an exponent.
3√35
35/3
What is the degree of the following polynomial
4xy3z+3xy2+4x+3
5th degree
Convert the following equation into General form (ax+by+c=0)
"-8=2y-5x"
-5x+2y+8=0
Given the following two equations; how many solutions should be expected
2y = 4x-8
y = -2x - 4
One solution / intersection
A 10m tall Jack pine makes a right angle with the ground, a student is standing 15m from the tree.
What is the expected angle of elevation from the students feet to the top of the tree
34 degrees
Convert the following Mixed radical into its entire form
9√5
√405
Use GCF factoring on the polynomial shown below
9x2+3x+6
3(3x2+1x+2)
The following coordinate pairs represent points on a graph; determine if it is a function
(0,3) (5,10) (6,12) (-5,10) (2,3)
True, it is a function.
2x+3y= 14
9y = -6x +42
Coincident Lines
A student flies a kite, the string attached to the kite when fully taut is 35 feet long.
The student uses an sextant to determine an angle of 22 degrees relative to the horizon,
What trigonometric ratio would be appropriate for measuring the height of the kite.
Sin(22) OR 0.3746
Convert the following entire radical to its mixed for
√288
12√2
Completely factor the trinomial below
8x2-2x-6
(2x-2)(4x-3)
Determine a slope that will pass through the following two points
(7,12) (-7, -6)
4x+3y = 5
3x+12=-7y
x = 6.32
y=-4.42
An inquisitive math student is standing 25 feet from the base of the Washington Monument. The angle of elevation from her horizontal line of sight is 87.4∘. If her “eye height” is 5ft, how tall is the monument?
555.54 feet
List the following radicals from least to greatest.
a) 3√3, b) 5√6, c) 2√10, d) 2√5
b, c, a, d
Expand and simplify the following polynomial
(4x-3z)2
16x2-24xz+9z2
Find the y intercept of a function that travels through point (10,13) and has a slope of 1/2
intercept = 8
Two students are buying candy bars.
One student spent $8.35 and purchased 3 Kit kats and a twix
The other spent $10.20 and purchased 2 kit kat and 4 twix.
What is the price of a kit kat. Rounded to the nearest cent.
$2.32