Algebra Review Positive and Negative Numbers Great Marlow School Mathematics Department.

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Presentation transcript:

Algebra Review Positive and Negative Numbers Great Marlow School Mathematics Department

Adding and Subtracting – – – x + 7x 5x – 12x -2y + 5y – 3y 2x + 3y – 5y + x x - 7x 0 3x – 2y Great Marlow School Mathematics Department

Multiplying - 4 x 3 5 x x – 5 (- 2) ² ( - 3) ³ 2a x 4a - 3d x 2d - 3c x – 5c (- 4x) ² a² - 6d² 15c² 16x² Great Marlow School Mathematics Department

Dividing 10 / / / - 5 8x / 2x - 6x / 3x - 12x / - 4x 6x² / 2x - 9x / x - 3x Great Marlow School Mathematics Department

Signs Together 2 + (- 3) (- 5) - 7 – (- 3) 2x – (-4x) 5x + (- 3x) - x – (- x) (- 5x) – (-2x) x 2x 0 - 3x Great Marlow School Mathematics Department

Substitution If x = 2 and y = - 3 find the value of: x² y² xy 4y 3x + 4y 3x – 4y (2x)³ x – y = = 18 (4)³ = = 5 Great Marlow School Mathematics Department

Substitution continued ….. If a = -1, b = 4 and c = -2 find the value of: abc 3a – 2b + c 3(a – c) a – b – c a² - b² 2b – 3c – 5a 2a² + 2a x 4 x – 2 = = (- 1 – - 2) = 3(1) = = - 1 – = – 16 = = = – 3 = 2 – 2 – 3 = - 3 Great Marlow School Mathematics Department

Warning – Beware of Negative Numbers Adding and subtracting – use a number line Multiplying and dividing – use the rule: signs the same – positive signs different – negative Signs together – use the rule as above. Great Marlow School Mathematics Department