1. – 3x + 8 Simplify 6x – 9x + 8.

2. – 13x – 3y – 3 Simplify – 4x – 3y + 2 – 9x – 5.

3. 8x + 9z – 22 Simplify 2x + 6z – 14 + 3z – 8 + 6x. Simplify 2x + 6z – 14 + 3z – 8 + 6x.

4. x = – 4 Solve 6x + 2 – 4x = – 6.

5. y = 24 Solve 9y + 7 – 8y – 17 = 14.

6. z = 3 Solve 4z – (9z + 7) = – 22.

7. x = – 7 Solve 8x + 2(3x – 12) = – 122.

8. a = – 4 Solve – 6 – 4(a + 9) = – 26.

9. x = 14 Solve 5(3x + 7) – 7(2x – 8) = 105.

10. subtract 4x What would you do to both sides of the equation to get the variable only on the left? x + 8 = 4x – 7

11. add 6z What would you do to both sides of the equation to get the variable only on the left? 9z – 14 = – 6z – 12

12. Solve 4x + 7 = 12x + 9. x = – 1414 1414

13. Solve – 8y – 11 = y + 7. y = – 2

14. Solve 6(z + 9) + 4z = 8 – (z + 2). z = – 48 11

15. Solve 4(x – 7) = 2(3x + 6). x = – 20

16. Solve – 6a – 12 = 8(a – 9). a = 30 7

17. Solve x + 5 = x + 12. 2323 2323 5353 5353 x = – 7

18. Solve 8.9y + 2.65 = 3.8(2y – 7). y = – 22.5

19. Solve – 4.7m – 9(8.2m – 6.1) = 9.7m – (1.9m + 6). Solve – 4.7m – 9(8.2m – 6.1) = 9.7m – (1.9m + 6). m ≈ 0.7

20. Solve 6n – 4(3n + 9) = 5n – 12. n = – 24 11

21. 8x + 6 = 21 Write an equation. Six more than eight times a number is 21.

22. 4(n + 9) = 16 Write an equation. Four times the sum of a number and 9 is 16.

23. 7(3n – 8) = – 9 Write an equation. The product of seven and the difference of three times a number and eight is – 9.

24. 0.5n + 6 = 18 Write an equation. The sum of half of a number and six is 18.

25. n = – 4 Write an equation and solve. Six times the difference of a number and three is – 42.

26. n = 120 Write an equation and solve. One-tenth of a number, decreased by four, is eight.

27. n = 2 Write an equation and solve. Nine less than 14 times a number is equal to the sum of the number and 17.

28. n = – 0.5 Write an equation and solve. The product of a number and 23 is equal to 11 less than the number.

29. – 19 and – 18 The sum of two consecutive numbers is – 37. Find the numbers.

30. 16 and 18 Find two consecutive even numbers such that three times the smaller is 30 more than the larger.

31. Natalya is 14 and Sasha is 17. The sum of Sasha’s and Natalya’s ages is 31. Twice Natalya’s age is eleven years more than Sasha’s age. Find each of their ages.

32. x ≤ – 15 Solve x ≤ – 9. 3535 3535

33. Solve – 6m + 9 < 18. m > – or – 1.5 3232 3232

34. Solve 7x – 12 > 25. x > or 5.3 37 7

35. Solve 4(y + 2) – 16 ≤ – 3(6y – 8). y ≤y ≤y ≤y ≤ 16 11

36. x > 7 Solve 3x + 7 > 28.

37. n > – 3 Solve – 6n < 3 + 4n + 27.

38. Solve 6a + 4(3a – 7) ≤ a – (2a – 5). Solve 6a + 4(3a – 7) ≤ a – (2a – 5). a ≤a ≤a ≤a ≤ 33 19

39. n < 0.7 Solve 6.5n + 3(4.8n – 2) < 4n – (2.8n – 7.3).

40. Solve – y – (y – 9) ≥ (y + 15). Solve – y – (y – 9) ≥ (y + 15). y ≤ – 45 31 4545 4545 2323 2323 3535 3535

41. n + 19 > – 7 Write an inequality. The sum of a number and 19 is greater than – 7.

42. 2(n – 12) ≥ 38 Write an inequality. Twice the difference of a number and 12 is at least 38.

43. Write an inequality. The quotient of a number and 6 is not greater than 21. ≤ 21 n6n6 n6n6

44. 1.06(6.75x) ≤ 50 Write an inequality. Mrs. Svinski needs to buy as many calculators as possible for her math class. She has $50 to spend, and each calculator costs $6.75. If sales tax is 6%, how many calculators can she buy?

45. Cashews cost $6.75/lb., and Jeanna can spend at most $30 for them. How many pounds can she buy? x ≤ 4.44 lb.

46. Benjamin wants an average of at least 92% in his science class. The tests in the class are each worth 100 points, and the sum of his scores on the first three tests is 273. x ≥ 95% What range of scores on the last test will guarantee that he gets the average that he desires in this class?

47. Mr. Ashburn is a car salesman. He earns a $250 commission for each car that he sells and a guaranteed monthly salary of $1,000. If he needs to earn at least $4,500 to pay his bills each month, how many cars must he sell each month? x ≥ 14 cars

48. The bill at the craft store for six picture frames and six pieces of matting is more than the $100 that Ginny has in her purse for this purchase. If the picture frames cost $12.45 each, how much does each piece of matting cost? x > $4.22

49. Find the three smallest consecutive odd integers whose sum is more than 100. 33, 35, and 37

50. State the mathematical significance of Ezekiel 43:2, 4a.