Solve 5x= 225
45
60% is what as a decimal?
0.60
What is the symbol for similarity?
~
Rigid transformations preserve__________.
Shape and Size.
What has to be broken before you can use it?
an egg
Equilateral triangles always have three ________ angles.
60 degree
Expand
4(x+2)
4x+8
Find the slope of the line
y-2=3(x-5)
3
What is the formula for probability?
# of desired outcomes
____________________
# of total outcomes
What must be true about the side lengths of similar shapes?
Side lengths must be proportional (common ratio).
What are the four types of transformations we've learned?
Translation (slide), Rotation (turn), Reflection (flip), Dilation (shrink/enlarge).
What begins with T, finishes with T, and has T in it?
a teapot
True or False: Pythagorean Theorem only applies to right triangles.
True
Expand
(x+3)(x+1)
x2+4x+3
What is the value of:
23 + 32 - 42
1
What is the likelihood of rolling a 3 on a fair die?
1/6 = 16.6%
What must be true about the angles of similar shapes?
All angle measures are preserved (corresponding angles are congruent).
What is the zoom factor of the following similar triangles?
zoom factor of 3
What goes up but never comes back down?
your age
25 feet
Expand
(a+b)(c-d)
ac-ad+bc-bd
Solve
2/3 + 5/7
29/21
What is the probability of flipping the same coin 3 times and getting heads every time?
(1/2)^3 = 1/8 = 12.5%
The given figures are similar. Calculate the value of x. Show your work clearly.
x = 30/8 = 3.75 units
Solve for x and state the theorem used.
No matter what, what can you always count on?
your fingers
A cone has a slant height of 17 cm and a base radius of 8cm. How high is the cone?
15 cm
Factor
x2 -7x-8
(x-8)(x+1)
A line passes through the points (−2,−4) and (−5,5). Find the equation of the line in point-slope form.
y+4=-3(x+2)
Consider a 10 question multiple choice test - each question has 4 answer choices to chose from and only 1 correct answer. What is the probability of randomly choosing every correct answer to this test?
(1/4)^10 = .000095%
Find u and v of the similar triangles below.
u = 19.04 units
v = 9.24 units
Find the point of intersection of the two lines:
y = -2x + 6
y = 3x - 9
(3, 0)
What is full of holes but still holds water?
a sponge
An equilateral triangle has sides of length 12 cm. Find the length of one of its altitudes.
10.4 cm
Expand
(x+1)3
x3+3x2+3x+1