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Review of Number Sense

**Part I: Patterns & Graphing **

Name: Find the next three terms in each sequence. 1.

18, 32, 46, 60, 74, … 2.

100, 94, 88, 82, 76, … 3.

14, 21, 28, 35, 42, … 4.

1, 2.5, 4, 5.5, 7, … 5.

1, 4, 9, 16, 25, … 6.

2, 5, 10, 17, 26, …

Graph each point and label it with the appropriate letter. On the line next to the point write the quadrant or axis where the point lies. (I, II, III, IV, x-axis, y-axis) 7. A (3, -3) _____________ 8. B (0, -1) ______________ 9. C (-2, -4) ____________ 10. D (4, 0) _____________ 11. E (-1, 6) _____________ Determine the quadrant and coordinates for points A, B, C, D. 12. A ___________________ 13. B ___________________ 14. C ___________________ 15. D ___________________ -8 -6 -4 -2 -2 -4 -6 -8 8 6 4 2 2 4 6 8

**Part 2: Operations with Real Numbers**

Use the Order of Operations to evaluate each expression. 1.

(7 + 3 2 ) – 2 ∙ 4 2.

3.

187 – 34 ÷ 17 4 2 ∙ 2 + [7 – (3 2 – 5)] 4.

5.

3(2 + 7 – 8) + 16 4[(3 + 2 ∙ 3) – 5] + 7 Perform the indicated operation. 6.

-39 + 68 7.

-23 + (-25) 8.

9 – (-15) 9.

-23 – (-72) 10. (-12)(-5) 11. 54 ÷ (-18) 13. (-3)(4 – 7) 12. 45 [8 + (-8)]

ADDING AND SUBTRACTING WITH LIKE DENOMINATORS (1) Add numerators (2) Keep denominator MULTIPLYING FRACTIONS (1) Multiply across top and across bottom (2) Reduce Perform the indicated operation. 14. 18. 15. 19. 16. 20. 17. 21.

Combine Like Terms Add like terms with the same variable & exponent (2x + 3) + (5x – 6) = (2x + 5x) + (3 – 6) = 7x – 3 (4d – 2) – (5d – 3) = (4d – 5d) + [-2 –(-3)] = -1d + ( -2 + 3) = -d + 1 Distribute Multiply outside term by every part inside ( ) 2(3x – 6) = 2∙ 3x – 2 ∙ 6 = 6x – 12 3x (2x – 4) = 3x ∙ 2x – 3x ∙ 4 = 6x 2 – 12x Simplify the expressions. 22. (3x + 4) + (2x – 1) 23. (4a + 3b) – (2a + 5b) 24. (-4x + 3) – (-6x + 3) 25. (2q + 3) – (-4q + 5) + (6q – 7) 26. 8(5x -9) 27. 3x(-5x – 4) 28. (5x – 7) – 3(2x – 1) 29. 30.

**Part 3: Solving Equations **

CHECK: Solve. 1.

5x + 9 = 39 2.

6 – 2d = 42 3.

15 = – 2 4.

9p + 20 = -7 5.

5.2 + 1.3x = -1.3 6.

– 5 = -17

Solve. 7.

4n – 2 + 7n = 20 8.

5s + 7 – 2s = 16 9.

4(f + 2) = 20 10.

-4x + 4 – 2x = -5 11. 2x – 2 = 4x + 6 12. 3x + 5 = 2x + 2 13. 5m – 7 = -6m – 29 14. 2(x + 1) = 3x – 3