MATH 225N FINAL EXAM 2 2026 COMPLETE
EXAM PRACTICE WITH MARK SCHEME
◉ 30˚ 60˚ 90˚ right triangle short leg. Answer: hyp long leg √3
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23
◉ 45˚ 45˚ 90˚ right triangle long leg. Answer: short leg √3
◉ Product of Powers. Answer: x^m • x^n = x^(m+n)
◉ Quotient of Powers. Answer: x^m / x^n = x^(m-n)
◉ Negative Power. Answer: x^-n = 1 / x^n
◉ Power of a Power. Answer: (x^m)^n = x^(m•n)
◉ Power of a Quotient. Answer: (x^m / x^n)^p = {x^(mp) / x^(np)}
◉ Power of a Product. Answer: (x^m • y)^n = x^mn • y^n
, ◉ Zero Power. Answer: x^0 = 1
◉ Quadratic Standard Form. Answer: y=ax^2+bx+c
◉ Quadratic Vertex Formula. Answer: { -b/2a , f(-b/2a) }
◉ Quadratic Axis of Symmetry Formula. Answer: x=-b/2a
◉ Quadratic Formula. Answer: x= -b (±) √b^2-4ac
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2a
◉ no solution discriminant. Answer: b^2-4ac<0
◉ 1 solution discriminant. Answer: b^2-4ac=0
◉ 2 solution discriminant. Answer: b^2-4ac>0
◉ Vertex Form. Answer: y=a(x-h)^2+k
◉ Vertex. Answer: (h,k)
EXAM PRACTICE WITH MARK SCHEME
◉ 30˚ 60˚ 90˚ right triangle short leg. Answer: hyp long leg √3
------ or ----------------
23
◉ 45˚ 45˚ 90˚ right triangle long leg. Answer: short leg √3
◉ Product of Powers. Answer: x^m • x^n = x^(m+n)
◉ Quotient of Powers. Answer: x^m / x^n = x^(m-n)
◉ Negative Power. Answer: x^-n = 1 / x^n
◉ Power of a Power. Answer: (x^m)^n = x^(m•n)
◉ Power of a Quotient. Answer: (x^m / x^n)^p = {x^(mp) / x^(np)}
◉ Power of a Product. Answer: (x^m • y)^n = x^mn • y^n
, ◉ Zero Power. Answer: x^0 = 1
◉ Quadratic Standard Form. Answer: y=ax^2+bx+c
◉ Quadratic Vertex Formula. Answer: { -b/2a , f(-b/2a) }
◉ Quadratic Axis of Symmetry Formula. Answer: x=-b/2a
◉ Quadratic Formula. Answer: x= -b (±) √b^2-4ac
-----------------------------
2a
◉ no solution discriminant. Answer: b^2-4ac<0
◉ 1 solution discriminant. Answer: b^2-4ac=0
◉ 2 solution discriminant. Answer: b^2-4ac>0
◉ Vertex Form. Answer: y=a(x-h)^2+k
◉ Vertex. Answer: (h,k)
