Georgia State University Math Placement Test Questions & Answers PDF | Complete Practice Problems & Exam Review | 2026–2027

Math Placement Exam Practice Problems Georgia State University
Part 1 Part 1




Simplify (2^-3 a^(3 -3) * b^-3)

(2a^3b)^-3 2^-3 a^-9b^-3

1/8a^9b^3


Simplify y^6/16x^4

(-4x^2y^-3)^-2


Simplify Radical 1/Radical 64

Radical 1/64 1/8


^3 Radical -27 -3




Complex numbers: Complex numbers




Find x and y such that the following is correct: 3x + 5yc= 15 + 5c

3x=15 and 5yc=5c

x=5 and y=1
3x + 5yi= 15 + 5i


Find x and y such that the following is correct: 10x - 4yc = 20 + 1/2x

x=2 and y=-1/8
10x -4yi = 20 + 1/2i


Simplify Radical 27 - 18

Radical 27 - 18 Radical 9

3


Simplify i/5

Radical -1/25


Complex Numbers and Exponents Complex Numbers of Exponents




Simplify i^15

i^15 (i^3)^5

-i^5

-(i^3 * i^2)

-(i * -1)

-i


Simplify -i

i^47

, Math Placement Exam Practice Problems Georgia State University
Solving Quadratic Equations by Factoring Solving Quadratic Equations by Factoring




Solve for x in 3x^2 + 8x + 4 = 0

3x^2 + 8x + 4 = 0 (3x + 2)(x+2)= 0

3x + 2 = 0 of x + 2= 0

x= -2/3 or x= -2


Solve for x in x= +/- 2

x^2 + 4 = 0


Solving Quadratic Equations that are irreducible Solving Quadratic Equations that are irreducible




Solve for x in x^2 + 7x + 3 = 0

x^2 + 7x + 3 = 0 x= -7+/- Radical 49 -4(1)(3)/2*1

x= -7 +/- Radical 37 /2


Solve for x in 2x^2 + 10x -1 = 0

2x^2 + 10x -1 = 0 x=b-10 +/- Radical


Solving and graph in Equalities Solving and graph in Equalities




Solve and graph 2-4x> 10

2-4x > 10 -4x >8

x < -2


Solve for x and graph the solution on number line for x^2 -2 >/ equal to 1

x^2 -2 >/eqaul to 1 x >/equal to radical 3 or x </ equal to - radical 3


Solve the following equations for x and y 3x + 2y = 5
7x - y =1

3x +2y =5 3x + 2y = 5
7x - y = 1 2(7x - y =1)

3x + 2y = 5
14x -2y= 2

17x= 7

x= 7/17

Plug in for x

3(7/17) + 2y = 5

21/17 + 2y = 5

2y = 5 - 21/17

2y= 78/17

y= 39/17