Intermediate Algebra Questions With Answers
Sample 3

A set of intermediate algebra questions, with answers, are presented. The solutions are at the bottom of the page. Also included are the solutions with full explanations.

  1. Write 1.5 10-5 in standard form.

  2. Evaluate: 30 - |-x + 6| for x = 10

  3. Evaluate: 2xy3 + x - 2y for x = 2 and y = -2

  4. What is the slope of the line perpendicular to the line y = - 4

  5. Write an equation of the line with slope 2 and x-intercept (-4 , 0).

  6. Solve the equation: -3(-x + 5) + 20 = -10(x - 3) + 4

  7. Solve the inequality: 4(x - 6) + 4 < 8(x - 4)

  8. Solve the equation: 3(x - 2)2 - 12 = 0

  9. Solve the equation: x / 3 + 2 / 7 = x / 7 - 5

  10. Line L is defined as line through the point (2 , 7) and perpendicular to the line x + y = 0. What is the point of intersection of L and the line x + y = 0?

  11. What is the point of intersection of the lines: x + 2y = 4 and -x - 3y = -7?

  12. How many solutions do the system of eaquations 2x - 3y = 4 and 4x - 6y = -7 have?

  13. For what value(s) of A does the system of equation Ax + 6y = 0 and 2x - 7y = 3 have no solutions?

  14. Solve |2x - 4| - 2 = 6.

  15. How many solutions does the equation 2x2 + 3x = 8 have?

  16. Solve the equation 3x2 + 6x - 1 = 8.

  17. Solve the system of equations: 2x + 5y = 18 and -3x - y = -1.

  18. What is the range of function f defined by: f = {(2,3),(1,4),(5,4),(0,3)}

  19. Factor the expression 2x2 + 3x + 1.

  20. Factor the expression 10x2 + 20x - 80.







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