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FOIL, Inequalities with Absolute Values and Factoring

Please see the attached file for the fully formatted problems.
9. Simplify using FOIL

Solve the inequalities
3. |x - 4| < 5
A -1 > x > 5
B -5 < x< 5
D x > 9
E -1 < x < 9
F -4 > x > 4
4. |x - 2| > = 3
B -1 > x > 5
C x > 3
D x < -1 or x > 5
E x < 2 or x > 3
F x < 1 or x > 5
Find the absolute value inequality corresponding to the following:
10. [2, 10]
A |x - 10| < 2
B |x - 6| < 4
D |x - 6| < 4
E |x - 6| > 4
F |x + 4| < 10
Factor the Following Quadratics
14. 9k^2 + 30kn + 25n^2
A (9k + 5n)(k + n)
C (3k - 5)(3k - 5)
D (3k + 5n)^2
E (9k + 25)(k + 1)
F (9k - 5)(9k - 5)

15. 2a^2-32
A 2(a^2 - 18)
B 2(a - 4)^2
C (2a - 16)(a + 2) )
E 2(a - 4)(a + 4)
F cannot be factored

20. a^2 + 4a + 21
A (a + 7)(a - 3)
C (a + 21)(a - 1)
D (a + 3)(a - 7)
E (a + 7)(a + 3)
F cannot be factored

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Solution Summary

FOIL, Inequalities with Absolute Values and Factoring are investigated. No work is shown.

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