MATH 3339 BOARD EVALUATION 2026
GUARANTEED PASS ANSWERS GRADED A+
● Irrational Number. Answer: -real number that cannot be written as a
terminating or repeating decimal (square root of 5)
● Quadratic Formula. Answer: -b±[√b²-4ac]/2a
● Factoring Cubes. Answer: a^3+b^3=(a+b) (a^2-ab+b^2)
-if it is A^3-B^3 then change to (a-b)(a^2+ab+b^2)
● Discriminant. Answer: -for quadratic expression, the discriminant is
b^2-4ac
-determines tht nature of the roots when the quadratic equation=0
-if discriminant is greater than 0, 2 real roots
-if discriminant=0, 1 real root
-if discriminant is less than 0, 2 imaginary roots
● Discriminant with x intercepts. Answer: -greater than 0, 2 x intercepts
-equal to 0, the vertex lies on the x axis
-less than 0, the parabola doesn't intersect the x axis
,● Given roots to quadratic equation and have to find the original
equation. Answer: -formula is
X^2-(sum of roots)x+(product of roots)=0
● Distance Formula. Answer: d = √[( x₂ - x₁)² + (y₂ - y₁)²]
● Midpoint Formula. Answer: (x₁+x₂)/2, (y₁+y₂)/2
-is coordinate set
● Circle with center at origin. Answer: X^2+Y^2=R^2
● Circle with center at (h,k). Answer: (X-h)^2 +(y-k)^2=r^2
-if a line is tangent to a circle, the line is perpendicular to the radius
drawn to the point of tangency
● Slope intercept form. Answer: y=mx+b
-m=slope
-b=y intercept
● point slope form. Answer: y-y1=m(x-x1)
-passes through point (x1,y1)
● standard form. Answer: ax+by=c
, ● Parallel Lines. Answer: -have equal slopes
● Perpendicular Lines. Answer: -have slopes that are opposite and
reciprocal
● Constant of proportionality with K. Answer: look at other slides
● Y=Kx. Answer: -y varies as x
-y varies directly as x
-y is directly proportional to x
● Y=K/x. Answer: -y is inversely proportional to x
● Y=kxz. Answer: -y varies jointly as x and z
● Y=Kx/z. Answer: -y varies directly as x and inversely as z
● Y=Kx+b. Answer: -y varies linearly as x
● relation. Answer: - a set of ordered pairs
GUARANTEED PASS ANSWERS GRADED A+
● Irrational Number. Answer: -real number that cannot be written as a
terminating or repeating decimal (square root of 5)
● Quadratic Formula. Answer: -b±[√b²-4ac]/2a
● Factoring Cubes. Answer: a^3+b^3=(a+b) (a^2-ab+b^2)
-if it is A^3-B^3 then change to (a-b)(a^2+ab+b^2)
● Discriminant. Answer: -for quadratic expression, the discriminant is
b^2-4ac
-determines tht nature of the roots when the quadratic equation=0
-if discriminant is greater than 0, 2 real roots
-if discriminant=0, 1 real root
-if discriminant is less than 0, 2 imaginary roots
● Discriminant with x intercepts. Answer: -greater than 0, 2 x intercepts
-equal to 0, the vertex lies on the x axis
-less than 0, the parabola doesn't intersect the x axis
,● Given roots to quadratic equation and have to find the original
equation. Answer: -formula is
X^2-(sum of roots)x+(product of roots)=0
● Distance Formula. Answer: d = √[( x₂ - x₁)² + (y₂ - y₁)²]
● Midpoint Formula. Answer: (x₁+x₂)/2, (y₁+y₂)/2
-is coordinate set
● Circle with center at origin. Answer: X^2+Y^2=R^2
● Circle with center at (h,k). Answer: (X-h)^2 +(y-k)^2=r^2
-if a line is tangent to a circle, the line is perpendicular to the radius
drawn to the point of tangency
● Slope intercept form. Answer: y=mx+b
-m=slope
-b=y intercept
● point slope form. Answer: y-y1=m(x-x1)
-passes through point (x1,y1)
● standard form. Answer: ax+by=c
, ● Parallel Lines. Answer: -have equal slopes
● Perpendicular Lines. Answer: -have slopes that are opposite and
reciprocal
● Constant of proportionality with K. Answer: look at other slides
● Y=Kx. Answer: -y varies as x
-y varies directly as x
-y is directly proportional to x
● Y=K/x. Answer: -y is inversely proportional to x
● Y=kxz. Answer: -y varies jointly as x and z
● Y=Kx/z. Answer: -y varies directly as x and inversely as z
● Y=Kx+b. Answer: -y varies linearly as x
● relation. Answer: - a set of ordered pairs
