UGA Math Placement Test Updated 2026

UGA Math Placement Test Study Guide 2026 | Fully Updated Solutions x=5 (lin equation) - answer - 1 solution 4=5 (lin equation) - answer - 0 solutions 5=5 (lin equation) - answer - infinite solutions distance formula - answer - d squared= delta x squared plus delta y squared Slope Intercept Formula - answer - y=mx+b Point Slope Formula - answer - y-y1=m(x-x1) Two Point Formula - answer - y-y1=(y2-y1)/(x2-x1) x (x-x1) Standard Form of a Line - answer - ax plus by equals c if dividing an inequality by a negative number - answer - flip the sign Interval notation - answer - Bracket= definite, parentheses = indefinite Quadratic Formula - answer - x equals -b plus or minus the square root of b squared minus four ac over 2a the rule that generates a function is - answer - y=f(x) rational expression - answer - a fraction where the numerator and denominator are polynomials x to the -n - answer - 1 divided by x to the n x to the 1/n - answer - n root x x to the p/n - answer - (n square root) to p x to the a times x to the b - answer - x to the a plus b (xy) to the a - answer - x to the a times x to the b x to the a / x to the b - answer - x to the a minus b (x/y) to the a - answer - x to the a divided by x to the b x to zero - answer - one standard form of quadratic equation - answer - ax^2 + bx +c = 0 vertex form of a quadratic - answer - y= a(x-h)^2 + k h equals - answer - -b/2a k equals - answer - f(h) in quadratics, (x,y) are equal to what in standard form - answer - (h,k) axis of symmetry equals - answer - -b/2a if an object strikes the ground that means - answer - s(t)=0 the maximum of a negative quadratic is located at - answer - the vertex velocity equals what when units are in feet - answer - 16 velocity equals what when units are in meters - answer - 4.9 if slopes are equal - answer - lines are parallel if slopes are opposite reciprocals - answer - lines are perpendicular k equals - answer - the constant of variation a^b=c - answer - log base a C = b logbA + logbC - answer - logb(A x C) logbA - logbC - answer - logb(A/C) logb(A x C) - answer - logbA + logbC logb(A/C) - answer - logbA - logbC logb(A^C) - answer - ClogbA logb(1) - answer - 0 logb(B) - answer - 1 logb(B^A) - answer - A b^logb(A) - answer - A Rational Function Formula - answer - f(x)=a/b(x-h) +k an increase in a - answer - moves function outward an increase in b - answer - moves function inward an increase in h - answer - moves function left/right a change in k - answer - moves function up/down f(x) + or - b - answer - up/down f(x + or - b) - answer - left/right -f(x) - answer - reflects over x axis f(-x) - answer - reflects over y axis sin - answer - 1/cos cos - answer - 1/sin tan - answer - 1/cot sec - answer - 1/cos csc - answer - 1/sin cot - answer - 1/cot tan(x) = - answer - sin/cos cot(x) = - answer - cos/sin sin squared plus cos squared - answer - 1 tan squared plus 1 - answer - sec squared 1 plus cot squared - answer - csc squared sin(-t), cos(-t), tan(-t) - answer - -sin(t), -cos(t), -tan(t) sin(a + b) - answer - sin(a)cos(b) + cos(a)sin(b) cos(a + b) - answer - cos(A)cos(B) + sin(a)sin(b) tan(a +b) - answer - tan(a) + tan(b)/ 1-tan(a)tan(b) sin(2x) - answer - 2sin(x)cos(x) cos(2x) - answer - 2cos squared x minus 1 tan(2x) - answer - 2tan(x)/ 1-tan^2(x) sin (x/2) - answer - plus or minus square root 1-cos(x)/2 cos (x/2) - answer - plus or minus square root 1+cos(x)/2 tan (x/2) - answer - sin(x)/ 1-cos(x)