Scale Drawing
The scale factor of a map is 1:75 miles. How far is the distance from LA to San Francisco if the map measures at 5.13 inches?
385.75 miles
What cross-section is formed by slicing through a cube perpendicular to any face?
Square
Two complementary angles are x and 36, what is the value of x?
x = 54 degrees
Write in Scientific Notation
0.00000000123
1.23 x 10^-9
Find the slope of (-1, 4) and (3, -8)
A house blueprint has a scale factor of 4cm:3ft The back wall of the house is 33 feet long. What is the length of the back wall in the blueprint?
44 inches
Is it possible for a cross section of a cylinder to have a triangular shape?
No
Two supplementary angles are 4x + 3 and 2x + 87, what is the value of x?
x = 5
Write in Standard Form
8.900213 x 10^6
8,900,213
Solve by graphing
y = -2x + 3
-x + 3y = -12
(3, -3)
A photograph of a painting has dimensions 5.4 cm and 4 cm. The scale factor is 1:15 . Find the length and width of the actual painting.
L: 81
W: 60
The cone has been sliced with a plane perpendicular to the base and passing through the vertex. What shape is created in the resulting cross section?
Triangle
Angles that are next to each other and share a side are called this
Adjacent Angles
Subtract the following and write in scientific notation (3.7 x 10^-2) - (5.0 x 10^-3)
3.2 x 10^-2
You want to order friendship bracelets. You can buy 10 bracelets for $18.00 including shipping. You can also buy 25 bracelets for $40.50 including the same flat-rate shipping. Write an equation in slope-intercept form to represent the total cost of the friendship bracelets.
y = 1.5x + 3
The length of a dance floor has a width of 14 cm and a length of 22 cm. What are the actual dimensions of the dance floor if it has a scale of 5 cm: 8ft
L: 35.2
W: 22.4
What cross-section is formed by slicing through a pyramid diagonally?
Trapezoid
What is the value of x if the measures of vertical angles are -3a+56 degrees and 5a+40 degrees
x = 2
Write in Scientific Notation (2 X 10^3)(3 X 10^4)
6 X 10^7
3/5x + 1/4 = 7/20x - 4
x = -17
The scale in the drawing is 2 cm:5 m. What are the length and width of the actual room? Find the area of the actual room.
L: 25 meters; W: 15 meters; Area: 375 square meters
If you cut a cylinder perpendicular to its bases, what shape will you get?
Rectangle
If there are three supplementary angles, 5x + 4, x - 2, and 3x + 7. What is the value of x?
x = 19
Write in scientific and standard notation.
(5.4 X 10^3) / (2.7 X 10^4)
2 X 10^-1 and 0.2
Simplify (3x^2 a^−3 b^4)*(−5a^4 x^−3)
-15ab^4/x