UGA Math Placement Test with Verified
_’- _’- _’- _’- _’- _’-
Answers. _’-
Interval notation
_’- _’-_’- _’- Bracket= definite, parentheses = indefinite
_’- _’- _’- _’-
the maximum of a negative quadratic is located at
_’- _’- _’- _’- _’- _’- _’- _’- _’-_’- _’- the vertex
_’-
Quadratic Formula _’- x equals -b plus or minus the square root of b
_’-_’- _’- _’- _’- _’- _’- _’- _’- _’- _’- _’- _’- _’-
squared minus four ac over 2a
_’- _’- _’- _’- _’-
the rule that generates a function is
_’- _’- _’- _’- _’- _’- _’-_’- _’- y=f(x)
rational expression
_’- _’-_’- _’- a fraction where the numerator and denominator are
_’- _’- _’- _’- _’- _’- _’- _’-
polynomials
x=5 (lin equation)
_’- _’- _’-_’- _’- 1 solution
_’-
4=5 (lin equation)
_’- _’- _’-_’- _’- 0 solutions
_’-
5=5 (lin equation)
_’- _’- _’-_’- _’- infinite solutions _’-
distance formula
_’- _’-_’- _’- d squared= delta x squared plus delta y squared
_’- _’- _’- _’- _’- _’- _’- _’-
, Slope Intercept Formula
_’- _’- _’-_’- _’- y=mx+b
Point Slope Formula
_’- _’- _’-_’- _’- y-y1=m(x-x1)
Two Point Formula
_’- _’- _’-_’- _’- y-y1=(y2-y1)/(x2-x1) x (x-x1) _’- _’-
Standard Form of a Line _’- _’- _’- _’- _’-_’- _’- ax plus by equals c
_’- _’- _’- _’-
if dividing an inequality by a negative number
_’- _’- _’- _’- _’- _’- _’- _’-_’- _’- flip the sign
_’- _’-
x to the -n
_’- _’- _’- _’-_’- _’- 1 divided by x to the n
_’- _’- _’- _’- _’- _’-
x to the 1/n
_’- _’- _’- _’-_’- _’- n root x
_’- _’-
x to the p/n
_’- _’- _’- _’-_’- _’- (n square root) to p
_’- _’- _’- _’-
x to the a times x to the b
_’- _’- _’- _’- _’- _’- _’- _’- _’-_’- _’- x to the a plus b
_’- _’- _’- _’- _’-
(xy) to the a
_’- _’- _’- _’-_’- _’- x to the a times x to the b
_’- _’- _’- _’- _’- _’- _’- _’-
x to the a / x to the b
_’- _’- _’- _’- _’- _’- _’- _’- _’-_’- _’- x to the a minus b
_’- _’- _’- _’- _’-
(x/y) to the a
_’- _’- _’- _’-_’- _’- x to the a divided by x to the b
_’- _’- _’- _’- _’- _’- _’- _’- _’-
_’- _’- _’- _’- _’- _’-
Answers. _’-
Interval notation
_’- _’-_’- _’- Bracket= definite, parentheses = indefinite
_’- _’- _’- _’-
the maximum of a negative quadratic is located at
_’- _’- _’- _’- _’- _’- _’- _’- _’-_’- _’- the vertex
_’-
Quadratic Formula _’- x equals -b plus or minus the square root of b
_’-_’- _’- _’- _’- _’- _’- _’- _’- _’- _’- _’- _’- _’-
squared minus four ac over 2a
_’- _’- _’- _’- _’-
the rule that generates a function is
_’- _’- _’- _’- _’- _’- _’-_’- _’- y=f(x)
rational expression
_’- _’-_’- _’- a fraction where the numerator and denominator are
_’- _’- _’- _’- _’- _’- _’- _’-
polynomials
x=5 (lin equation)
_’- _’- _’-_’- _’- 1 solution
_’-
4=5 (lin equation)
_’- _’- _’-_’- _’- 0 solutions
_’-
5=5 (lin equation)
_’- _’- _’-_’- _’- infinite solutions _’-
distance formula
_’- _’-_’- _’- d squared= delta x squared plus delta y squared
_’- _’- _’- _’- _’- _’- _’- _’-
, Slope Intercept Formula
_’- _’- _’-_’- _’- y=mx+b
Point Slope Formula
_’- _’- _’-_’- _’- y-y1=m(x-x1)
Two Point Formula
_’- _’- _’-_’- _’- y-y1=(y2-y1)/(x2-x1) x (x-x1) _’- _’-
Standard Form of a Line _’- _’- _’- _’- _’-_’- _’- ax plus by equals c
_’- _’- _’- _’-
if dividing an inequality by a negative number
_’- _’- _’- _’- _’- _’- _’- _’-_’- _’- flip the sign
_’- _’-
x to the -n
_’- _’- _’- _’-_’- _’- 1 divided by x to the n
_’- _’- _’- _’- _’- _’-
x to the 1/n
_’- _’- _’- _’-_’- _’- n root x
_’- _’-
x to the p/n
_’- _’- _’- _’-_’- _’- (n square root) to p
_’- _’- _’- _’-
x to the a times x to the b
_’- _’- _’- _’- _’- _’- _’- _’- _’-_’- _’- x to the a plus b
_’- _’- _’- _’- _’-
(xy) to the a
_’- _’- _’- _’-_’- _’- x to the a times x to the b
_’- _’- _’- _’- _’- _’- _’- _’-
x to the a / x to the b
_’- _’- _’- _’- _’- _’- _’- _’- _’-_’- _’- x to the a minus b
_’- _’- _’- _’- _’-
(x/y) to the a
_’- _’- _’- _’-_’- _’- x to the a divided by x to the b
_’- _’- _’- _’- _’- _’- _’- _’- _’-
