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1. Solve the equation 8n + 3 = 9n − 16 n = 2. Solve the equation. (Objective 1) 5x − 4(x − 6) = −12 x = 3. Solve the equation. (Objective 1) −3(2t − 5) = 2(4t + 7) t = 4. Solve the equation. (Objective 1) x+9/3 + x-1/18 = 9/2 5. Solve the equation. (Objective 1) n-5 - 4n-1 = 1 2 6 2 6. Solve the equation 3n-1 - 2 = 2n + 5 8 7 7. Solve the equation. (Objectives 1, 2, and 3. If there is no solution, enter NO SOLUTION.) 8 – 1 = 1 3n 9 n 8. Solve the equation. (Objectives 1, 2, and 3. If there is no solution, enter NO SOLUTION.) 38 -x = 5 + 2 X x 9. Solve the equation. (Objectives 1, 2, and 3. If there is no solution, enter NO SOLUTION.) 7__ = __1_ 5x-37 x-7 10. Solve the equation. (Objectives 1, 2, and 3. If there is no solution, enter NO SOLUTION.) 4x - 3 = ____x___ 3x-1 3x-1 11. Solve the equation. (Objectives 1, 2, and 3. If there is no solution, enter NO SOLUTION.) 0.05x + 0.06(700 − x) = 37 x = 12. Solve the equation by factoring or by using the property If x 2 = k, then x = ± k . (Objectives 1 and 2. Enter your answers as a comma-separated list.) (2n + 1)2 = 28 n= 13. Use the quadratic formula to solve the equation. (Objective 4. Enter your answers as a comma-separated list.) y 2 + 23y + 90 = 0 y= 14. Use the quadratic formula to solve the equation. (Objective 4. Enter your answers as a comma-separated list.) n 2 − 6n − 19 = 0 n = 15. Solve the quadratic equation by using the method that seems most appropriate to you. (Enter your answers as a comma-separated list.) 8x 2 + 18x − 5 = 0 x= 16. Solve the quadratic equation by using the method that seems most appropriate to you. (Enter your answers as a comma-separated list.) 2t 2 − 3t + 7 = 0 t = 17. Use the quadratic formula to solve the equation. (Objective 4. Enter your answers as a comma-separated list.) n 2 − 3n = −7 n = 18. Solve by setting up and solving an algebraic equation. (Objective 2) In a class of 48 students, the number of males is 9 less than twice the number of females. How many females and how many males are there in the class? How many females and how many males . 19. Solve by setting up and solving an algebraic equation. (Objective 2) A precinct reported that 324 people had voted in an election. The number of Republican voters was 9 more than two-thirds the number of Democrats. How many Republicans and how many Democrats voted in that precinct? Republican voters Democratic voters 20. Solve by setting up and solving an algebraic equation. (Objective 2) Jennifer went on a shopping spree, spending a total of $143 on a skirt, a sweater, and a pair of shoes. The cost of the sweater was 9/8 of the cost of the skirt. The shoes cost $18 more than the skirt. Find the cost of each item. skirt $ sweater $ shoes $ 21. Set up an equation and solve. (Objective 5) Gary bought an MP3 player at a 20% discount sale for $48. What was the original price of the MP3 player? $ 22. Solve the problem. (Objectives 2, 3, and 4) How many liters of a 70% acid solution must be added to 12 liters of a 10% acid solution to produce a 34% acid solution? L 23. Solve the radical equation. Don't forget that you must check potential solutions whenever Property 1.3 is applied. (Objective 2. Enter your answers as a commaseparated list. Enter EMPTY or ∅ for the empty set.) Property 1.3 Let a and b be real numbers and n a positive integer. If a = b, then a n = b n . 2n – 5 = 7 n = 24. Solve the radical equation. Don't forget that you must check potential solutions whenever Property 1.3 is applied. (Objective 2. Enter your answers as a comma-separated list. Enter EMPTY or ∅ for the empty set.) Property 1.3 Let a and b be real numbers and n a positive integer. If a = b, then a n = b n . 3 2x + 9 + 10=7 X= 25. Solve the radical equation. Don't forget that you must check potential solutions whenever Property 1.3 is applied. (Objective 2. Enter your answers as a comma-separated list. Enter EMPTY or ∅ for the empty set.) Property 1.3 Let a and b be real numbers and n a positive integer. If a = b, then a n = b n . 4x – 16 - x + 5=0 x= 26. Solve the quadratic-in-form equation. (Objective 3. Enter your answers as a commaseparated list.) x 2/3 + 2x 1/3 − 3 = 0 x= 27. Solve the quadratic-in-form equation. (Objective 3. Enter your answers as a commaseparated list.) x −2 + 2x −1 − 35 = 0 x = 28. Solve the equation. (Objective 1. Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.) |2n − 1| = 9 n = 29. Solve the equation. (Objective 1. Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.) |2x + 1| + 4 = 9 x = 30. Solve the equation. (Objective 1. Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.) |2x + 1| = |4x − 9| x = 31. Express the solution set in interval notation. (Objectives 2 and 3) 3 < x < 4 Graph the solution set 32. Express the solution set in interval notation. (Objectives 2 and 3) x < 1 or x > 7 Graph the solution set. 33. Solve the conjunction by using the compact form and express the solution set in interval notation. (Objective 3) −19 ≤ 5x − 14 ≤ 6 34. Solve the conjunction by using the compact form and express the solution set in interval notation. (Objective 3) −6 < x – 1 <6 2 35. Solve the inequality and express the solution set in interval notation. (Objective 1) −4x + 1 > 9 36. Solve the inequality and express the solution set in interval notation. (Objective 1. Enter EMPTY or ∅ for the empty set.) x 2 − 25 < 0 37. Solve the inequality and express the solution set in interval notation. (Objective 1. Enter EMPTY or ∅ for the empty set.) x 2 − 8x + 15 ≥ 0 38. Solve the inequality and express the solution set in interval notation. (Objective 2) 5x + 3 > 0 x - 5 39. Solve the inequality and express the solution set in interval notation. (Objective 2. If there is no solution, enter NO SOLUTION.) |2x − 1| ≤ 5 40. Solve the inequality and express the solution set in interval notation. (Objective 2. If there is no solution, enter NO SOLUTION.) |t − 4| > 6

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1. Solve the equation
8n + 3 = 9n − 16
n = 19

2. Solve the equation. (Objective 1)
5x − 4(x − 6) = −12
x =   -36

3. Solve the equation. (Objective 1)
−3(2t − 5) = 2(4t + 7)
t =   1/14

4. Solve the equation. (Objective 1)
x+9/3 + x-1/18 = 9/2
Solution:
x=7/9

5. Solve the equation. (Objective 1)
n-5   -   4n-1 = 1
-----    -------- -----
2               6      2
Solution:
n= -17

6. Solve the equation
3n-1 - 2 = 2n + 5
------       ----------
8                   7
Solution:
n=159/5...
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