Vocabulary
A symbol that represents a number is called a....
Variable
Find all real solutions to: m^2 - 5m - 14 = 0
m = -2, 7
A quadratic expression of the form: a(x - h)^2 + k
is said to be in _______ form.
Vertex form
A number next to a variable (e.g.: '4' in the expression 4x + 9)
Coefficient
Find all real solutions to: 2m^2 + 2m - 12 = 0
m = -3, 2
When we reverse the sign in between two terms, we are taking the ________ of that expression.
E.g.: (x - 2) is the _____ of (x + 2).
Conjugate
The set of numbers described by (0, 1, 2....)
Whole numbers
Find all real solutions to: 4b^2 + 8b + 7 = 4
b = -1/2, -3/2
The process of converting a quadratic expression from standard form to vertex form is called _____________.
Completing the square.
The set of numbers described by (...-2, -1, 0, 1, 2...)
Integers
Find all real solutions to: 2m^2 - 7m - 13 = -10
m = (7 + sqrt(73))/4, (7 - sqrt(73))/4
In a normal deck of cards (52 cards, 4 suits, no jokers), what is the probability of randomly picking 3 face cards in a row that are 10 or higher, without replacement? (Ace counts as a high card)
57/1105 or 0.05158.... (about 5%)
What is the definition of a rational number?
Any number that can be expressed as an integer/integer.
Find all real and complex solutions to:
-1/2(3x + 8)^2 - 16 = 2
-8/3 +/- 2i
Another Y10 class has 20 students. After the first test, 5 students' scores were collected: 34, 38, 46, 52, 70. If we assume the test scores follow a normal distribution, what is the probability that the next test score is below a 34?
~16%.