Simplify
√1,000,000
1,000
Make a table and graph the function:
f(x)= -2x2
Mr. Overman goes to a pumpkin patch and chooses 4 pumpkins randomly. Three of those pumpkins weigh 15lbs, 18lbs, and 16lbs, respectively. In order to maintain an average weight between 15 and 20lbs, what could the range of weights for 4th pumpkin be?
Between 11 and 31lbs
Solve
|x-2|=9
x={-7,11}
Uncle Jed has a drawer of T-shirts. In this drawer, there are 5 white, 3 blue, 2 red, and 2 grey shirts. If Jed picks a shirt for the day at random, what is the probability he will pick a white or blue shirt?
2/3
Find the product:
(3 - √2)2
11 - 6√2
A rectangular rug has length of √98in and width of √50in. What is the rug's perimeter?
24√2 in
Write and graph an inequality that represents all real numbers less than -1 or greater than 4.
x<-1 OR x>4
Show graph is a disjunction
Find the distance between these two points:
(2,-3) and (5,6)
3√10 units
Determine whether this binomial is a difference of squares. If it is, factor it. If it is not, give reasoning.
36x2-64
Yes, and it factors as 4(3x+4)(3x-4)
Factor
-22x+12+8x2
2(4x-3)(x-2)
Mr. Randall stands on a 9ft platform, and he is going to throw a water balloon at Mr. Fenton, who stands 12ft from the base of the building. Precisely how far does Mr. Randall have to throw the balloon to hit Mr. Fenton?
15ft
Solve and graph
-7+(-3) < -5x-5
x<1
Include graph
Determine whether the following numbers form a Pythagorean triple:
10, 24, 26
Yes
Choose a method to factor the following polynomial, and explain your reasoning for choosing that method. Also factor the polynomial.
y2-144
(y+12)(y-12)
This is a difference of squares, so we should use the conjugate formula.
Multiply
5x3y/6x2y * 3x4y3/10x2y2
x3y/4
y=x2-2
Yes, it is. (0,-2)
Solve and graph
3(x-2)+3x > 10-2(2x+3)
X>1
Determine whether these lines are parallel.
y=3/5x-9
10x-6y=18
No. They do not have the same slope.
(3,-15), (-2,10), (-4,20)
Yes, and the constant of variation is -5.
Subtract
a√12a - √48a3
-2a√3a
Find the asymptotes of the function:
y= 4/x+3
Vertical: x=-3
Horizontal: y=0
Solve and graph
-3n<-9
n>3
Puff the Magic Dragon is flying 512ft above Kansas City to relocate his hoard when he drops a piece of gold from the sky. We can calculate the trajectory of the coin with the quadratic equation 512-h=16t2. The height of the coin in the air is h, and the time is spends in the air is t. So, how high in the air is the coin 2 seconds after Puff drops it?
448ft in the air
Suppose you are given a pack of 7 randomized Pokémon trading cards. In this pack, there are a mix of Water, Fire, Bug, Ghost, and Rock type Pokémon. Assume there are 2 Charmander cards (Fire types) and 2 Magikarp cards (Water types).
Now you reach into the pack and pull out one card. Calculate the theoretical probability for each outcome and make a bar graph to represent the frequency distribution.
P(F)=2/7
P(B)=1/7
P(G)=1/7
P(R)=1/7