Intermediate Algebra Questions With Answers
Sample 1

Intermediate algebra questions on various topics , with answers, are presented. The answers are at the bottom of the page. Also included are the solutions with full explanations.


  1. Write 230,000,000,000 in scientific notation.

  2. Evaluate: 30 - 12÷3×2 =

  3. Evaluate: |4 - 8(3 - 12)| - |5 - 11| =

  4. Evaluate: -18 + 4(6 ÷ 2)2

  5. Evaluate: 11 + sqrt(-4 + 6×4÷3)

  6. Simplify: 12x3 - 3(2x3 + 4x -1) - 5x + 7

  7. Simplify: (x4 / x3)3

  8. Simplify: (3x2y-2)3 / (9xy3)3

  9. Simplify: (2x-3y4)3(x3 + y)0 / (4xy-2)3

  10. Write as a mathematical inequality:"9 is less than the product of M and N".

  11. Find the slope of the line perpendicular to the line y = (1/3)x - 7

  12. Write an equation of the line with slope -3 and y-intercept (0 , -5).

  13. Solve the equation: -5x + 20 = 25

  14. Solve the inequality: -3x + 4 < -8

  15. Solve the equation: 2x2 - 32 = 0

  16. Solve the equation: -0.25 x + 1.3 = -0.55 x - 0.2

  17. Solve the equation: -0.25 x2 + 1.5 = -10.75

  18. What is the slope of a line perpendicular to the line x = -3?

  19. What is the slope of a line parallel to the line x = 5?

  20. What is the slope of a line perpendicular to the line y = 6?

Answers to the Above Questions
  1. 2.3 × 1011
  2. 22
  3. 70
  4. 18
  5. 13

  6. 6x3 -17x + 10
  7. x3
  8. (1/27)(x3 / y15)
  9. (1/8)(y18 / x12)
  10. 9 < M × N

  11. -3
  12. y = -3x - 5
  13. -1
  14. x > 4
  15. -4 , 4

  16. -5
  17. -7 , 7
  18. 0
  19. undefined
  20. undefined

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