Math  /  Algebra

QuestionPractice and Problem-Solving Exercises MATHEMATICAL PRACTICES (A) Practice
Solve each equation using addition or subtraction. Check your answer. See Problems 1 and 2.
10. 6=x+26=x+2
11. 27+n=4627+n=46
12. 23=v+523=v+5
13. 4=q+134=q+13
14. f+9=20f+9=20
15. 5+a=21-5+a=21
16. 17=3+k-17=3+k
17. 5.5=2+d5.5=-2+d
18. c+4=9c+4=-9
19. 67=w6567=w-65
20. 23=b1923=b-19
21. g3.5=10g-3.5=10
22. y19=37y-19=37
23. q11=9q-11=-9
24. 2.5=p+7.1-2.5=p+7.1
25. j3=7j-3=-7

Solve each equation using multiplication or division. Check your answer.
26. 8n=64-8 n=-64
27. 7y=28-7 y=28
28. 5b=1455 b=145

See Problems 3 and 4.
30. 96=4c-96=4 c
31. 11=2.2t11=2.2 t
32. 17.5=5s17.5=5 s
29. 6a=0.966 a=0.96
34. m7=12\frac{m}{7}=12
35. 35=j535=\frac{j}{5}
36. k7=13\frac{k}{7}=13
33. 7r=727 r=\frac{7}{2}
38. 14=z214=\frac{z}{2}
39. q9=9\frac{q}{-9}=-9
40. 13=m5-13=\frac{m}{-5}
37. 39=93-39=\frac{9}{3}

Solve each equation. Check your answer.
42. 23q=18\frac{2}{3} q=18
43. 34x=9\frac{3}{4} x=9
44. 58y=1\frac{5}{8} y=-1
41. k4=172\frac{k}{4}=-\frac{17}{2}
46. 15x=27\frac{1}{5} x=\frac{2}{7}
47. 36=49d36=\frac{4}{9} d
48. 6=37n-6=\frac{3}{7} n (D) See Problem 5.

Define a variable and write an equation for each situation. Then solve. See Problem 6.
50. Music You have a rack that can hold 30 CDs. You can fit 7 more CDs on the rack before the rack is full. How many CDs are in the rack?
51. Population In a 3-year period, a city's population decreased by 7525 to about 581,600 . What was the city's population at the beginning of the 3 -year period?

Studdy Solution
For the equation 6=x+26 = x + 2, the solution is x=4x = 4.
For the CD problem, there are currently 23 CDs in the rack.

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