Pythagorean Theorem
What is the side opposite of the right angle in a right triangle?
Hypotenuse
Solve for x
3(2x+4) = 60
x=8
Simplify
x2x4
x6
What is the formula for volume of a cylinder and cone?
v=Pier2h
v=1/3pier2h
What would be the best way to solve this system?
y=2x+1
3x + 2y = 23
Substitution
What are the two sides of a right triangle that form the right angle?
Legs
Solve for x
3(x+2) = 4(x+1)
x=2
Simplify
(y6)3
y18
What is the formula for volume of a sphere?
v=4/3pier3
What would be the best way to solve the system of equation?
3x - 2y = 10
7x + 2y = 30
Elimination
A car travels 60 miles due north then makes a turn due west. It travels 72 miles west. How far is the car from its starting point?
93.7 miles
Solve for x
10x - 9 = -2x + 3
x=1
Simplify
(3a5b)(4a4b7)
12a9b8
Find the volume, use 3.14 for pi.
Sumo-Sumo Gas Company has a tanker-truck for hauling gasoline. The cylindrical tank has a diameter of 5.4 meters. The tank is 16 meters long. How many cubic meters of gas can the truck haul?
366.25m3
Solve the system using substitution.
y=2x+1
3x + 2y = 23
(3,7)
Michelle delivers books to school libraries. Her truck has a slide out ramp for unloading the books. The top of the ramp is 3 feet above the ground. The ramp itself is 5.2 feet long. What is the horizontal distance the ramp reaches?
4.2 ft
15x = 12(x - 3)
x=-12
Simplify
(x2/x3)0
1
Find the volume, use 3.14 for pi.
A cement truck malfunctioned causing all of the cement to be dumped all at one time. The pile of cement was in the shape of a cone. It had a radius of 12 feet and a height of 2 feet. How much cement spilled?
301.44ft3
Solve the system using elimination.
3x - 2y = 10
7x + 2y = 30
(4,1)
A rectangular prism is 5 inches long, 8 inches wide and 10 inches tall. What is the length of it longest diagonal?
13.7 in
Write an equation that can be used to find the number of painting to break even.
Xavier spent $84 on art supplies. The canvas for each of his paintings is an additional $1. He plans to sell his paintings for $8.
84 + 1p= 8p
Simplify
X-2
1/x2
Find the volume, use 3.14 for pi.
Drake has a beach ball with a diameter close to 12 in. Find the volume of this beach ball.
904.32in3
Solve the system using elimination.
10x - 6y = 54
-4x + 3y = -24
(3,-4)