MATH PLACEMENT EXAM PRACTICE PROBLEMS GEORGIA STATE UNIVERSITY WITH COMPLETE SOLUTIONS 100% 2023/2024

MATH PLACEMENT EXAM PRACTICE PROBLEMS GEORGIA
STATE UNIVERSITY WITH COMPLETE SOLUTIONS 100%
2023/2024
Part 1
Part 1


Simplify

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

2^-3 a^-9b^-3

1/8a^9b^3


Simplify

(-4x^2y^-3)^-2
y^6/16x^4


Simplify

Radical 1/64
Radical 1/Radical 64

1/8


^3 Radical -27
-3


Complex numbers:
Complex numbers


Find x and y such that the following is correct:




3x + 5yi= 15 + 5i
3x + 5yc= 15 + 5c

3x=15 and 5yc=5c

x=5 and y=1


Find x and y such that the following is correct:


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

, 10x - 4yc = 20 + 1/2x

x=2 and y=-1/8


Simplify

Radical 27 - 18
Radical 27 - 18

Radical 9

3


Simplify

Radical -1/25
i/5


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^47
-i


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