College Algebra Test 1 Rated 100%
Correct.
Distance - Correct Answer d=√(x₂-x₁)² + (y₂-y₁)²
Midpoint - Correct Answer (a+b)/2 or ((x₁+x₂)/2, (y₁+y₂)/2)
Circle - Correct Answer For a circle with a center of (h,k) and r>0:
(x-h)² + (y-k)²=r²
Completing the Square - Correct Answer x²+bx+ (b/2)²
Line: Standard Form - Correct Answer Ax+By=C
Line: Slope - Correct Answer (∆y)/(∆x), (rise/run),(y₂-y₁)/(x₂-x₁)
Line: Slope Point Form - Correct Answer Equation of a line through (x₁,y₁) with slope m:
y-y₁=m(x-x₁)
Line: Slope Intercept Form - Correct Answer Equation of a line with slope m and y
intercept (0,b):
y=mx+b
Line: Parallel - Correct Answer Two non-vertical lines in the same coordinate plane are
parallel if and only if their slopes are equal.
Line: Perpendicular - Correct Answer Two lines with slopes m₁ and m₂ are
perpendicular if and only if m₁*m₂=-1
Quadratic Equation - Correct Answer ax²+bx+c=0
Where a, b and c are real numbers with a≠0
Zero Factor Property - Correct Answer if A and B are algebraic expressions then the
equation AB=0 is equivalent to the compound statement A=0 or B=0
Square Root Property - Correct Answer for any real number K, the equation x²=k is
equivalent to x=±√k
Quadratic Formula - Correct Answer x=(-b±√b²-4ac)/2a
