Math Questions With Answers (4)
A set of comprehensive math questions are presented. Answers to these questions are also provided and are located at the lower part of the page.
Question 1How much water should be added to 20 ounces of a 20% acid solution to reduce it to a 10% solution?
Question 2Solve for C the following equation: B = 2 B D + 2 C E + 2 C L
Question 3Thomas can paint the house in 6 days, while it takes Joe 12 days to paint the same house. How long would it take Thomas and Joe, working together, to paint the house?
Question 4Solve the following system of equations3x  4y = 25 2x + y = 10
Question 5An airliner can make a 3,000 mile trip with tailwind (wind in the same direction as the airliner) in 4 hours and make the return trip against the wind (with the same speed) in 4 hours 48 minutes (4.8 hours). Find the ground speed of the airliner.
Question 6Write as a single interval if possible: (9 , 2) U (1 , 30)
Question 7Solve the equation: 5x  2  2 = 6
Question 8Solve the inequality: 4x + 6 < 30
Question 9Solve the inequality: 4x + 5  5 > 6
Question 10Solve the inequality: √ (3x  2)^{2} < 5
Question 11Solve the equation: 2x + 5 = 2x  5
Question 12Solve the equation: 4x  2 = 8x  12
Question 13Evaluate and write in standard form: (4  2i)(3 + 3i), where i^{2} = 1.
Question 14Evaluate and write in standard form: (2  3i) / (2  2i), where i^{2} = 1. (where i is the imaginary unit)
Question 15Evaluate and write in standard form: (3 + 2i)^{2}  3(3  i)(2 + 2i), where i^{2} = 1. (where i is the imaginary unit)
Question 16Solve the equation: (x  2)^{2}  2 = 7
Question 17Solve the equation: (x + 3)^{2}  12 = 8
Question 18Solve the equation: 3 + 30/x^{2} = 21/x
Question 19Solve the equation: x / (x^{2} + 2x  3) + 5 / (x + 3) = 1
Question 20The sum of a number and its reciprocal is 82 / 9. Find the number.
ANSWERS TO ABOVE QUESTIONS1) 20 ounces2) C = B(1  2D) / (2E + 2L) 3) 4 days 4) (3 , 4) 5) 687.5 miles/hour 6) (9 , 30) 7) x = 2 , x =  6 / 5 8) 9 < x < 6 9) ( infinity , 4) U (3/2 , + infinity) 10) (1 , 7/3) 11) [5/2 , + infinity) 12) x = 5/2 13) 6 + 18 i 14) 5/4  i / 4 15) 17  36 i 16) x = 2 + 3 i , x = 2  3 i 17) x = 3 + 2 SQRT(5) , x = 3  2 SQRT(5) 18) x = 2 , x = 5 19) x = 1 + i , x = 1  i 20) Two possible solutions: x = 9 and x = 1 / 9 More math questions and problems with detailed solutions in this site.
