Working with Positive and Negative Numbers:
  1. Adding Rules:
Positive + Positive = Positive: 5 + 4 = 9
Negative + Negative = Negative: (- 7) + (- 2) = - 9
Sum of a negative and a positive number: Use the sign of the larger number and subtract
(- 7) + 4 = -3
6 + (-9) = - 3
(- 3) + 7 = 4
5 + ( -3) = 2
  1. Subtracting Rules:
Negative - Positive = Negative: (- 5) - 3 = -5 + (-3) = -8
Positive - Negative = Positive + Positive = Positive: 5 - (-3) = 5 + 3 = 8
Negative - Negative = Negative + Positive = Use the sign of the larger number and subtract (Change double negatives to a positive)
(-5) - (-3) = ( -5) + 3 = -2
(-3) - ( -5) = (-3) + 5 = 2
  1. Multiplying Rules:
Positive x Positive = Positive: 3 x 2 = 6
Negative x Negative = Positive: (-2) x (-8) = 16
Negative x Positive = Negative: (-3) x 4 = -12
Positive x Negative = Negative: 3 x (-4) = -12
  1. Dividing Rules:
Positive ÷ Positive = Positive: 12 ÷ 3 = 4
Negative ÷ Negative = Positive: (-12) ÷ (-3) = 4
Negative ÷ Positive = Negative: (-12) ÷ 3 = -4
Positive ÷ Negative = Negative: 12 ÷ (-3) = -4

Now here are some for you to try:
1.
( -40 ) + 51 =............
2.
( -86 ) + 53 =
3.
( -68 ) + 97 =
4.
( -88 ) + 19 =
5.
( -63 ) + 40 =
6.
( -38 ) + 62 =
7.
( -62 ) - 38 =
8.
( -56 ) - 83 =
9.
( -18 ) - 90 =
10.
( -83 ) - 13 =
11.
( -26 ) - 51 =
12.
( -59 ) - 87 =
13.
( -24 ) : 4 =
14.
( -18 ) : 3 =
15.
( -2 ) : 1 =
16.
( -3 ) : 1 =
17.
( -12 ) : 3 =
18.
( -12 ) : 6 =

1.( -44 ) x 9 =............

2.( -35 ) x 0 =

3.( -87 ) x 5 =

4.( -49 ) x 8 =

Simultaneous Equations:
(a) What do x and y equal?
3x + 4y = 10
2x + 5y = 9

(b)What do x and y equal?
3x − 2y = 9
−x + 3y = −3

(c) What do x and y equal?
2x − y = 5
3x + 4y = 2

(d) What do x and t equal?
5x + 7t = 8
7x − 4t = 25

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