Exam Questions and CORRECT Answers
slope-intercept form - CORRECT ANSWER - y = mx + b
slope formula - CORRECT ANSWER - m = (y₂- y₁) / (x₂- x₁)
point slope form - CORRECT ANSWER - y - y₁ = m(x - x₁)
standard form - CORRECT ANSWER - Ax + By = C
distance formula - CORRECT ANSWER - d = √[( x₂ - x₁)² + (y₂ - y₁)²]
equation of a circle - CORRECT ANSWER - (x - h)² + (y - k)² = r²
where (h,k) is the center and r is the radius
absolute value piece wise function - CORRECT ANSWER - |x| = { x if x >or= 0
{ -x if x < 0
FOIL - CORRECT ANSWER - First, Outer, Inner, Last
what does i equal? - CORRECT ANSWER - square root of -1
i^2 - CORRECT ANSWER --1
i^3 - CORRECT ANSWER --i
, i^4 - CORRECT ANSWER -1
quadratic formula - CORRECT ANSWER - x = -b ± √(b² - 4ac)/2a
vertex form - CORRECT ANSWER - y = a(x - h)² + k
vertex - CORRECT ANSWER - (-b/2a , -b² - 4ac/4a)
basic laws for working w/ exponents - CORRECT ANSWER - i) (A^N)(A^M) = A^N+M
ii) (A^N)^M = A^NM
iii) (AB)^N = (A^N)(B^N)
iv) A^0 = 1
v) A^-N = 1/A^N
vi)(A/B)^N = (A^N) / (B^N)
rational exponents and radicals - CORRECT ANSWER - ^n√a = a^(1/n)
^n√a^m = a^(m/n)
square root reminder - CORRECT ANSWER - after finding the square root:
√64 = x
± 8 = x -> NOT just 8
|ax - b| > c - CORRECT ANSWER - ax - b > c
OR
ax - b < c
graphing on a plane - CORRECT ANSWER - **make a table of values