Intermediate Algebra Questions With Answers
Sample 1
A set of intermediate algebra questions, 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: -0.25x + 1.3 = -0.55x - 0.2

  17. Solve the equation: -0.25x2 + 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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Updated: 3 April 2011

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