MATH PLACEMENT EXAM PRACTICE PROBLEMS GEORGIA STATE UNIVERSITY QUESTIONS AND ANSWERS WITH VERIFIED SOLUTIONS 2024

MATH PLACEMENT EXAM PRACTICE
PROBLEMS GEORGIA STATE
UNIVERSITY QUESTIONS AND
ANSWERS WITH VERIFIED SOLUTIONS
2024
Part 1 - ANSWER Part 1



Simplify



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



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



1/8a^9b^3



Simplify



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



Simplify



Radical 1/64 - ANSWER Radical 1/Radical 64



1/8



^3 Radical -27 - ANSWER *-3*



Complex numbers: - ANSWER Complex numbers

,Find x and y such that the following is correct:




3x + 5yi= 15 + 5i - ANSWER 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 - ANSWER 10x - 4yc = 20 + 1/2x



*x=2 and y=-1/8*



Simplify



Radical 27 - 18 - ANSWER Radical 27 - 18



Radical 9



*3*



Simplify

, Radical -1/25 - ANSWER *i/5*



Complex Numbers and Exponents - ANSWER Complex Numbers of Exponents



Simplify



i^15 - ANSWER i^15



(i^3)^5



-i^5



-(i^3 * i^2)



-(i * -1)



*-i*



Simplify



i^47 - ANSWER *-i*



Solving Quadratic Equations by Factoring - ANSWER Solving Quadratic Equations by Factoring



Solve for x in



3x^2 + 8x + 4 = 0 - ANSWER 3x^2 + 8x + 4 = 0



(3x + 2)(x+2)= 0