Pythagorean Theorem
A car rental company charges a flat fee of $20 plus $5 for every hour the car is rented. Which number represents the slope of this situation, and what does it mean?
What is $5 per hour?
A sphere has a diameter of 12 cm. Find its volume.
What is 904.77 cm^3 (or 288pi)?
Solve for x:
4x + 5 = 8x - 3
What is x=2?
Algebraic representation: (x, y)-->(kx, ky)
What type of transformation occurred?
What is a dilation?
Find the slope from this table:
(1,8)
(3,14)
(5,20)
(7,26)
What is m=3?
A cone has a radius of 4 in and a height of 9 in. Find its volume.
What is 150.79 in^3 (or 48pi)?
3x + 5 + 2x = 25 - x
A figure was translated 7 units to the left and 2 units up. What is the algebraic representation the transformation?
What is (x,y) --> (x-7, y+2)?
A ladder is leaning against a wall. The bottom of the ladder is 9 feet away from the wall, and the ladder reaches 12 feet up the wall. How long is the ladder?
a = feet from the wall
b = height of the wall
c = ladder
What is 15 ft?
Find the equation in the form y = mx + b
(0, 18)
(2, 14)
(4, 10)
(6, 6)
What is y = -2x + 18?
A cylinder has a radius of 3 m and a height of 7 m.
Find both the volume and the total surface area, and identify which is which.
What is...
Volume: 63pi or 197.92 m^3
Surface: 60pi or 188.4 m^2
A gym offers two membership plans.
Plan A charges $15 per month plus $3 per class.
Plan B charges $27 per month plus $1 per class.
After how many classes will the two plans cost the same?
Let x be the number of classes and set up an equation to solve.
What is 6 classes?
What is the formula for scale factor?
What is new / original?
A soccer field has a rectangular practice area that is 11 meters wide and 14 meters long. A player kicks the ball diagonally across the practice area. About how far does the ball travel?
What is 17.8 m?
A rectangular prism has dimensions:
L = 8, W = 5, H = 3
Find the lateral AND total surface area (in cm)
What is:
Lateral: 78 cm^2
Total: 158 cm^2
At a movie theater, one adult ticket costs the same as a child ticket plus $4.
A group buys 3 adult tickets and 2 child tickets for a total of $38.
Let x be the cost of a child ticket. Write and solve an equation to find x.
What is $5.20?
A point was transformed from (4, -5) to (-4, -5). What type of transformation occurred?
What is reflection over the y-axis?
A kite string is 25 feet long. The kite is flying 24 feet above the ground. How far away from the person holding the string is the kite horizontally?
What is 7 ft?
Find the total surface area of the TRIANGULAR prism (all dimensions = inches)
Base triangle with b = 6, h = 4, and two equal sides of 5
Height of prism: 10
What is 160 in^2?
(x/4) + 3 = (x/2) - 1
Solve for x
What is x=16?
Algebraic representation: (x, y)-->(-y, x)
What type of transformation occurred?
What is a 270 degree rotation?