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.

Questions 1:

How much water should be added to 20 ounces of a 20% acid solution to reduce it to a 10% solution?

Questions 2:

Solve for C the following equation: B = 2 B D + 2 C E + 2 C L

Questions 3:

Thomas 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?

Questions 4:

Solve the following system of equations
3x - 4y = 25
-2x + y = -10

Questions 5:

An 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.

Questions 6:

Write as a single interval if possible: (-9 , 2) U (1 , 30)

Questions 7:

Solve the equation: |5x - 2| - 2 = 6

Questions 8:

Solve the inequality: |4x + 6| < 30

Questions 9:

Solve the inequality: |4x + 5| - 5 > 6

Questions 10:

Solve the inequality: SQRT (3x - 2)2 < 5

Questions 11:

Solve the equation: |-2x + 5| = 2x - 5

Questions 12:

Solve the equation: |4x - 2| = 8x - 12

Questions 13:

Evaluate and write in standard form: (4 - 2i)(-3 + 3i), where i2 = -1.

Questions 14:

Evaluate and write in standard form: (2 - 3i) / (2 - 2i), where i2 = -1.

Questions 15:

Evaluate and write in standard form: (-3 + 2i)2 - 3(3 - i)(-2 + 2i), where i2 = -1.

Questions 16:

Solve the equation: -(x - 2)2 - 2 = 7

Questions 17:

Solve the equation: (-x + 3)2 - 12 = 8

Questions 18:

Solve the equation: 3 + 30/x2 = -21/x

Questions 19:

Solve the equation: -x / (x2 + 2x - 3) + 5 / (x + 3) = 1

Questions 20:

The sum of a number and its reciprocal is 82 / 9. Find the number.

ANSWERS TO ABOVE QUESTIONS
1) 20 ounces
2) 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.