Factor
2x² - 50
2(x - 5)(x + 5)
ratio of the adjacent side to the hypotenuse of a right-angled triangle
cosine
f(x) = x
Linear
A mathematical notation indicating the number of times the base is multiplied by itself.
exponent
30 > 15x
x > 2
8x³ - 1
(2x - 1)(4x² + 2x + 1)
ratio of the opposite side to the hypotenuse of a right-angled triangle
sine
f(x) = /x/
Absolute value
The multiplicative inverse of a number
reciprocal
-8 - x ≥ 5
x ≤ -13
5x² - 20
5(x - 2)(x + 2)
ratio of the opposite to the adjacent side of a right-angled triangle
Tangent
f(x) = x^2
quadratic
A one variable equation written in the form ax+b=0, where a and b are constants and a does not equal zero
linear equation
x + 17 ≤ 12
x ≤ -5
8x² + 2xy + 12x + 3y
(2x + 3)(4x + y)
rgt triangle
5.1
f(x) = x^3
cubic
number in front of a variable
coefficient
Renting a bicycle costs $15 plus $9 per hour (or part of an hour.) What are the possible lengths of time you can rent a bike with at most $75?
x ≤ 6
x³y³ + 27
(xy + 3)(x²y² - 3xy + 9)
Adj/hyp
Cosine
f(x) = square root of x
square root
The distance a number is from zero on a number line. ALWAYS POSITIVE
absolute value
You can rent a canoe for $8 plus $3 per hour or any part of an hour. For how many hours can you rent a canoe if you want to spend no more than $25?
x ≤ 5