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Numbers, Square Roots and Equations Practice Questions

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Updated on Oct 5, 2011

To review these concepts, go to Numbers, Square Roots and Equations Study Guide.

Numbers, Square Roots and Equations Practice Questions

Practice

Use the previous table to help you solve these problems with signed numbers.

  1. 2 + (–3) = ?
  2. –2 + (–3) = ?
  3. 4 – (–3) = ?
  4. –8.5 – (–1.7) = ?
  5. –3 × (–5) = ?
  6. –8 ÷ 4 = ?
  7. 9 ÷ (–1.2) = ?
  8. – 1 = ?

 Use the sequence of operations previously shown to solve these problems.

  1. 3 + 6 × 2 = ?
  2. 4 × 2 + 3 = ?
  3. (3 + 5) ÷ 2 + 2= ?
  4. (2 + 3)(3 × 4) = ?
  5. 2 + 5 × 6 – 4 + 7 = ?
  6. 2 ÷ 5 × 3 – 1= ?
  7. 1 – 2 × 3 ÷ 6 = ?
  8. 2 ÷ 4 + 3 × 4 ÷ 8 = ?

 Convert as indicated.

  1. 2 ft. = ___ in.
  2. 12 yds. = ___ ft.
  3. 4 yds. = ___ in.
  4. 3.2 mi. = ___ ft.
  5. 3 cm = ___ mm
  6. 16 cm = ___ cm
  7. 85.62 km = ___ m
  8. 22 in. = ___ft.; 22 in. =___ ft.___in.
  9. ft. =___yds.; ft. =___yds.___ft.___in.
  10. 7,920 ft. =___mi.; 7,920 ft. =___mi.___ft.
  11. 1,100 yds. = ___ mi.
  12. 342 mm =___cm; 342 mm =___cm___mm
  13. 294 cm =___m; 294 mm =___m___cm
  14. 165 mm =___km

 Add and simplify.

 

 Subtract and simplify.

 

 Use the rules on the previous page to solve these problems in squares and square roots.

  1. 12 × √12 = ?
  2. 18 × √2 = ?
  3. 6 × √3 = ?
  4. 9 + √16 = ?
  5. 9 + 16 = ?
  6. (3 + 4)2 = ?
  7. 72 = ?

Solve each equation.

  1. x + 3 = 7
  2. y – 2 = 9
  3. 8n = 100
  4.  = 10
  5. 3x – 5 = 10
  6. 3 – 4t = 35
  7.  = 9
  8.   – 2 = 1

Solutions

  1. –1
  2. –5
  3. 7
  4. –6.8
  5. 15
  6. –2
  7. –7.5
  8. 12
  9. 15
  10. 11
  11. 6
  12. 60
  13. 35
  14. 0
  15. 2
  16. 24 in.
  17. 36 ft.
  18. 144 in.
  19. 16,896 ft.
  20. 30 mm
  21. 1,600 cm
  22. 85,620 m
  23. 34.2 cm; 34 cm 2 mm
  24. 2.94 m; 2 m 94 cm
  25. 0.000165 km
  26. 8 ft.
  27. 22 yds. 2 ft.
  28. 28 cm 7 mm
  29. 21 km 170 m
  30. 1 ft. 4 in.
  31. 1 yd. 2 ft.
  32. 12 m 73 cm
  33. 11 km 900 m
  34. 12
  35. 6
  36. 18 or 3√2
  37. 2
  38. 7
  39. 5
  40. 49
  41. 7
  42. x = 4
  43. y = 11
  44. n = 12.5
  45. m = 20
  46. x = 5
  47. t = –8
  48. x = 12
  49. n = 9
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