15th May Algebra 1 Formulas

Apuntes

• Subtopic: Algebra 1 Formulas and Operations **Adding & Subtracting Positive and Negative Numbers** - Same Sign Addition: - -5 + 3 (Same sign add) = -2 - -5 - 3 (Same sign add) = -8 - -5 + (-3) (Same sign add) = -8 - Different Sign Subtraction: - 5 + 3 (Different sign subtract) = 2 (the sign on the bigger number = sign of the answer) - -5 + (-3) (Different sign subtract) = -8 **Subtracting with Different Signs** - Same sign add: - 8 (example not fully provided, but implied) - 5 - 3 (Same sign add, equals positive 8) - 5 - 3 (Different sign subtract) = 2 - -5 - (-3) (Different sign subtract) = -2 **Multiplying & Dividing Positive and Negative Numbers** - Same Sign (Positive): - 6 × 7 = 42 - -6 × 7 = -42 - 42 ÷ 7 = 6 - -42 ÷ 7 = -6 - Different Sign (Negative): - 6 × -7 = -42 - -6 × -7 = 42 - 42 ÷ -7 = -6 - 42 ÷ -6 = -7 **Absolute Value | |** - Represents the distance from zero, always positive. - Examples: - |181| = 181 - |-181| = 181 - 1 - 8 = -7 (Note: the original had an error; it should be 1 - 8 = -7, but the absolute value is 7) - |-181| = 181 - -1 - 81 = -82 (original had ...