Math Basics
Numbers that cannot be expressed as a fraction
What are irrational numbers?
Equals to log 1
What is 0?
A sequence in which every term is obtained by multiplying or dividing a definite number with the preceding number
What is a geometric sequence?
cotxsinx
What is cosx?
Give three names for the points that can be found on y=0
zeros
x-intercepts
roots
The name of a right triangle with the legs as 1, 1, and the hypotenuse of √2.
45-45-90 Triangle
Simplify:
ln x3 + ln 4y - 3ln x
What is ln 4y?
The sum of the first 8 numbers in the following sequence:
1, 4, 9, 16...
What is a 204?
List 2 Pythagorean identities.
sin2(x) + cos2(x) = 1
1 + cot2(x) = csc2(x)
1 + tan2(x) = sec2(x)
The line which represents the instantaneous rate of a point on a graph.
What is the tangent line?
Michael breeds chickens and ducks.
Last month, he sold 50 chickens and 30 ducks for $550. This month, he sold 44 chickens and 36 ducks for $532.
How much does a chicken cost, and how much does a duck cost?
Chicken $8
Duck $5
log4(2x)=5x+3
What is x= -2/3?
Term for the amount between each number in a geometric sequence
What is the common ratio?
Prove:
(1/tanx)+tanx = (1/sinxcosx)
- Put in terms of sine & cosine
- Use Pythagorean identity
Answers will vary
The amount of prime numbers that will go into 84 (excluding 1).
What is 4?
The term for two objects that are the same size and shape.
Congruent
log5 x − log25 x + log√5 x = −5
What is x = 1/25?
The next two terms
3, 5, 8, 13, 21, 34, 55....
What are 89 and 144?
Write a sine FUNCTION with the following characteristics:
amplitude: 1/2
period: pi/4
What is f(x)= 1/2sin (8x)
16% of 32 equals 20% of this number.
What is 25.6?
Identify the property:
If C is between B and D, then BC + CD = BD
What is the segment addition postulate?
Expand:
log2 50
log10 50/log10 2
The formula for the sum of the first n terms of the geometric sequence
486, 162, 54....
Sn = 729(1-(1/3)n)
Given a rhombus with sides of 44 units and a smaller angle of 65, what is the measure of the longer diagonal
What are 74.218 units?
(No calculator)
The radius of circle E is 4 times the diameter of circle F. What is the ratio of the diameter of circle E to the radius of circle F?
1:4