ExamView - FINAL EXAM REVIEW 2011.tst

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FINAL EXAM REVIEW 2011 Solve for x. State any restrictions on the variables. ____ 10. ax + bx +9 =7 2 a. x = a + b ; a≠b c. x = 7 a + b +9 ; a + b ≠ −9 7 b. x = a + b +9 ; a ≠ 0, b ≠ −9 d. x = −2 a + b ; a ≠ −b Solve the inequality. Graph the solution set. ____ 11. 2 + 2k ≤ 8 a. k ≥ 3 c. k ≤ 3 b. k ≤ 5 d. k ≥ 5 ____ 12. 26 + 6b ≥ 2(3b + 4) a. all real numbers c. b ≥ 1 1 2 b. b ≤ 1 1 2 d. no solutions Solve the problem by writing an inequality. ____ 13. A club decides to sell T-shirts for $12 as a fund-raiser. It costs $20 plus $8 per T-shirt to make the T-shirts. Write and solve an equation to find how many T-shirts the club needs to make and sell in order to profit at least $100. a. 12x − ( 8x + 20) ≥ 100; x ≥ 30 c. (8x + 20) − 12x ≥ 100; x ≥ 20 b. 12x − 8x + 20 ≥ 100; x ≥ 20 d. 12x − 8(x + 20) ≥ 100; x ≥ 20 2
FINAL EXAM REVIEW 2011 Solve the compound inequality. Graph the solution set. ____ 14. −2 ≤ 2x − 4 < 4 a. 0 ≤ x < − 2 c. 1 ≤ x < 0 b. 1 ≤ x < 4 d. 3 ≤ x < 6 ____ 15. The perimeter of a square garden is to be at least 22 feet but not more than 36 feet. Find all possible values for the length of its sides. a. 11 41 4 3
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