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Core Math Concepts
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1
Question
What is a binomial expression?
Page 1
Answer
The sum or difference of two terms, e.g., $x + y$ or $n + m$.
2
Question
The sum or difference of two terms
Page 1
Answer
Binomial expression
3
Question
What is Pascal's Triangle?
Page 1
Answer
A triangular array of numbers.
4
Question
A triangular array of numbers
Page 1
Answer
Pascal's Triangle
5
Question
What are the edges of Pascal's Triangle equal to?
Page 1
Answer
1
6
Question
How are non-edge numbers formed in Pascal's Triangle?
Page 1
Answer
The sum of the two numbers above it (left and right).
7
Question
When was Pascal's Triangle known in India?
Page 1
Answer
200 BCE
8
Question
Who called Pascal's Triangle 'Meru Prastara'?
Page 1
Answer
Pingala
9
Question
In what direction do positive angles rotate in standard position?
Page 4
Answer
Counterclockwise from the initial side.
10
Question
In what direction do negative angles rotate from the initial side?
Page 4
Answer
Clockwise.
11
Question
What are coterminal angles?
Page 4
Answer
Angles that share the same initial and terminal sides but have different measures.
12
Question
Angles that share the same initial and terminal sides but have different measures
Page 4
Answer
Coterminal angles
13
Question
What is an example of coterminal angles in degrees?
Page 4
Answer
$45^\\circ + 360^\\circ = 405^\\circ$ or $45^\\circ - 360^\\circ = -315^\\circ$
14
Question
What is the formula for coterminal angles in radians?
Page 4
Answer
$\theta \pm 2\pi k$ where $k$ is an integer
15
Question
What is a reference angle?
Page 4
Answer
The smallest acute angle formed between the terminal side of a given angle in standard position and the x-axis.
16
Question
Reference angle formula in Quadrant I
Page 4
Answer
Reference angle = Angle
17
Question
Reference angle formula in Quadrant II
Page 4
Answer
$180^\\circ$ - Angle
18
Question
Reference angle formula in Quadrant III
Page 4
Answer
Angle - $180^\\circ$
19
Question
Reference angle formula in Quadrant IV
Page 4
Answer
$360^\\circ$ - Angle
20
Question
What is the formula for arc length?
Page 4
Answer
$S = r \theta$
21
Question
What is arc length?
Page 4
Answer
The distance along the curved line of a circle defined by a specific angle.
22
Question
In the arc length formula $S = r \theta$, what unit is $\theta$ in?
Page 4
Answer
Radians
23
Question
In a 30-60-90 triangle, what is the hypotenuse if opposite 30° is 1?
Page 7
Answer
2
24
Question
In a 30-60-90 triangle, what is adjacent to 30° if hypotenuse is 2?
Page 7
Answer
$\sqrt{3}$
25
Question
In a 45-45-90 triangle, what are the legs if hypotenuse is $\sqrt{2}$?
Page 7
Answer
1
26
Question
In a 45-45-90 triangle, what is the hypotenuse if legs are 1?
Page 7
Answer
$\sqrt{2}$
27
Question
What is the radius of the unit circle?
Page 7
Answer
1 unit
28
Question
On the unit circle, what is $\sin \theta$?
Page 7
Answer
$y$ (opposite over hypotenuse)
29
Question
On the unit circle, $\sin \theta = y$
Page 7
Answer
Sine function
30
Question
On the unit circle, what is $\cos \theta$?
Page 7
Answer
$x$ (adjacent over hypotenuse)