PRAXIS 5164 UPDATED 2026 EXAM SCRIPT QUESTIONS
AND ANSWERS RATED A+
✔✔vertex form of a quadratic function - ✔✔a value: + opens up, - opens down
vertex = (h, k)
axis of symmetry = h
✔✔standard form of a quadratic function - ✔✔a value: + opens up, - opens down
c value = y-intercept
✔✔intercept form of a quadratic function - ✔✔a value: + opens up, - opens down
a(-p)(-q) = y-intercept
p and q = x-intercepts
axis of symmetry = (p + q)/2
✔✔quadratic formula - ✔✔
✔✔horizontal line slope = - ✔✔0
ex: y = 8
✔✔vertical line slope = - ✔✔undefined
ex: x = -4
✔✔discriminant - ✔✔- A positive discriminant indicates that the quadratic has two
distinct real number solutions.
- A discriminant of zero indicates that the quadratic has a repeated real number
solution.
- A negative discriminant indicates that neither of the solutions are real numbers.
✔✔REGULAR POLYGON exterior angle - ✔✔n = number of sides
✔✔REGULAR POLYGON interior angle - ✔✔n = number of sides
OR
, 180 - (360/n)
✔✔area of trapezoid - ✔✔
✔✔prism surface area - ✔✔A = 2wl + 2lh + 2wh
✔✔cylinder surface area - ✔✔
✔✔pyramid surface area - ✔✔B: area of base
P: perimeter
l: slant length
✔✔volume of prism - ✔✔OR
B (area of base) x h
✔✔volume of pyramid - ✔✔
✔✔volume of cylinder - ✔✔
✔✔volume of cone - ✔✔
✔✔volume of sphere - ✔✔
✔✔area of rhombus - ✔✔OR
A = altitude x side
✔✔number of polygon diagonals - ✔✔
✔✔area of REGULAR polygon - ✔✔
✔✔sum of measure of interior angles - ✔✔n = number of sides
✔✔measure of ONE interior angle - ✔✔
✔✔measure of exterior angle - ✔✔180 - interior angle
✔✔circle formula graphing - ✔✔center of point = (h, k)
✔✔area of circle - ✔✔
AND ANSWERS RATED A+
✔✔vertex form of a quadratic function - ✔✔a value: + opens up, - opens down
vertex = (h, k)
axis of symmetry = h
✔✔standard form of a quadratic function - ✔✔a value: + opens up, - opens down
c value = y-intercept
✔✔intercept form of a quadratic function - ✔✔a value: + opens up, - opens down
a(-p)(-q) = y-intercept
p and q = x-intercepts
axis of symmetry = (p + q)/2
✔✔quadratic formula - ✔✔
✔✔horizontal line slope = - ✔✔0
ex: y = 8
✔✔vertical line slope = - ✔✔undefined
ex: x = -4
✔✔discriminant - ✔✔- A positive discriminant indicates that the quadratic has two
distinct real number solutions.
- A discriminant of zero indicates that the quadratic has a repeated real number
solution.
- A negative discriminant indicates that neither of the solutions are real numbers.
✔✔REGULAR POLYGON exterior angle - ✔✔n = number of sides
✔✔REGULAR POLYGON interior angle - ✔✔n = number of sides
OR
, 180 - (360/n)
✔✔area of trapezoid - ✔✔
✔✔prism surface area - ✔✔A = 2wl + 2lh + 2wh
✔✔cylinder surface area - ✔✔
✔✔pyramid surface area - ✔✔B: area of base
P: perimeter
l: slant length
✔✔volume of prism - ✔✔OR
B (area of base) x h
✔✔volume of pyramid - ✔✔
✔✔volume of cylinder - ✔✔
✔✔volume of cone - ✔✔
✔✔volume of sphere - ✔✔
✔✔area of rhombus - ✔✔OR
A = altitude x side
✔✔number of polygon diagonals - ✔✔
✔✔area of REGULAR polygon - ✔✔
✔✔sum of measure of interior angles - ✔✔n = number of sides
✔✔measure of ONE interior angle - ✔✔
✔✔measure of exterior angle - ✔✔180 - interior angle
✔✔circle formula graphing - ✔✔center of point = (h, k)
✔✔area of circle - ✔✔