True/False Algebra Questions With Answers
Sample 4

Answer by true or false the following algebra questions. answers provided. Also included are the solutions with full explanations.

1. (True or False)   x² and 2x are like terms.

2. (True or False)   x^-3 and -3x are unlike terms.

3. (True or False)   1 / (x - 9) = 0 for x = 9.

4. (True or False)   The set of ordered pairs {(0,0),(2,0),(3,0),(10,0)} represents a function.

5. (True or False)   |a - b| = b - a if b - a < 0.

6. (True or False)   |x² + 1| = x² + 1.

7. (True or False)   √(x - 5) ² = x - 5.

8. (True or False)   (x - 2)(x + 2) = x² - 4x - 4.

9. (True or False)   sqrt(x + 9) = sqrt(x) + sqrt(9), for all x real.

10. (True or False)   |x - 3| = |x| + |3|, for all x real and negative.

11. (True or False)   (x + 2)³ = x³ + 2³, for all x real.

12. (True or False)   If k = 4, then the equation x² - k x = -4 has one solution only.

13. (True or False)   The discriminant of the equation: 2x² - 4x + 9 = 0 is negative.

14. (True or False)   The degree of the polynomial P(x) = (x - 2)(-x + 3)(x - 4) is equal to -3.

15. (True or False)   The distance between the points (0 , 0) and (1 , 1) in a rectangular system of axes is equal to 1.

16. (True or False)   The slope of the line 2x + 3y = -2 is negative.

17. (True or False)   The relation 2y + x² = 2 represents y as a function of x.

18. (True or False)   The relation 2y + x² = 2 represents x as a function of y.

19. (True or False)   The relation |x| = |y| DOES NOT represent x as a function of y.

20. (True or False)   The relation |x| = |y| DOES NOT represent y as a function of x.

1. FALSE (different power)
2. TRUE
3. FALSE (1/(9-9) = 1 / 0 undefined)
4. TRUE
5. FALSE (|a - b| = a - b if b - a < 0 )
   
6. TRUE
7. FALSE √(x - 5) ² = |x - 5|
8. FALSE
9. FALSE (try x = 16)
10. TRUE
    
11. FALSE (try x = 2)
12. TRUE
13. TRUE
14. FALSE (degree = 3)
15. FALSE (√2)
    
16. TRUE
17. TRUE
18. FALSE (solve for and you get 2 solutions)
19. TRUE
20. TRUE