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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

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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