Classifying Numbers
What is the most specific classification of the number -29?
Integer
Simplify the following:
(27-3i)+(14-11i)
41-14i
Find all solutions in simplest form.
(x-2)^2-36=0
x=-4 x=8
Given the equation, identify the initial velocity and height using appropriate units.
h(t)=-16t^2+80t+5
velocity= 80 feet per second
height= 5 feet
What is the projectile motion equation? (using feet and seconds)
h(t)=-16t^2+v_ot +h_o
x=sqrt25
x=+-5
What is the most specific classification of the number 321?
Natural
Simplify the following:
(15-2i)(15+2i)
229
Find all solutions in simplest form.
-2x^2+x-1=-x^2-5x+8
x=3
A rocket is launched from a tower. The height of the rocket is related to the time after launch, t in seconds, by the given equation. Find the time at which the rocket reached its maximum height. Round to the nearest hundredth
f(t)=-16t^2+242t+84
7.56 seconds
What is the room number of the room you are in right now?
Answer may vary
sqrt(-216)
6isqrt6
(-5+3i)+(5-8i)
After simplifying, what is the broadest classification of the number?
Complex
Simplify the following:
(6-5i)-(3+2i-i^2)
2-7i
Find all solutions in simplest form.
3x^2+231=54x
x=11, x=7
The length of a rectangle is 3 units more than the width. If the area is 40 square units, what are the dimensions?
5 units by 8 units
How many and what type of solution(s) exist for the following quadratic:
5x^2-12x+3=f(x)
Two real solutions
(8sqrt(-200))/20
4isqrt2
sqrt(1/3) * sqrt(3/4) After simplifying, what is the most specific classification of the number?
Rational
Simplify the following:
(8+i)(3-2i)+(2i)^2
22-13i
Find all solutions in simplest form.
4x^2+36x=-73
x=(-9+-2sqrt2)/2
You are 5'6'' tall and standing on a 30 foot hill. You throw a ball to your 6 foot friend who is standing on the ground. You throw the ball with an initial velocity of 30 feet per second . After how many seconds will your friend catch the ball? Round to the nearest hundredth.
2.59 seconds
State the domain and range using interval notation.
f(x)=2^x+5
D: (-oo, oo)
R: (5, oo)
(5+sqrt18)/3
(5+3sqrt2)/3
(-7+2i)(-7-2i)
After simplifying, what is the broadest classification of the number?
Real
Simplify the following:
[(2i-4)((3+i)-(1-6i))]^2
-92+1056i
Find all solutions in simplest form.
45/x^2-4/x-1=0
x=-9, x=5
If each side of a square is increased by 6 units, the area is multiplied by 16. Find the side of the original square
2 units
Find all solutions to the following system
(x-2)^2+(y-3)^2=16
y=-x+1
(-2,3) and (2, -1)
2sqrt81+sqrt27-sqrt(-4)+sqrt588
18+17sqrt3-2i