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.
187 – 34 ÷ 17
3.
4
2
∙ 2 + [7 – (3
2
– 5)]
4.
3(2 + 7 – 8) + 16
5.
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)
12. 45 [8 + (-8)]
13. (-3)(4 – 7)

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
2
3x (2x – 4) = 3x ∙ 2x – 3x ∙ 4 = 6x – 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