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

2. Adding and Subtracting - 4 + 8 - 7 – 4 3 + 4 – 9 - 5 – 4 + 6 3x + 7x 5x – 12x -2y + 5y – 3y 2x + 3y – 5y + x 4 - 11 - 2 - 3 10x - 7x 0 3x – 2y Great Marlow School Mathematics Department

3. Multiplying - 4 x 3 5 x -6 - 3 x – 5 (- 2) ² ( - 3) ³ 2a x 4a - 3d x 2d - 3c x – 5c (- 4x) ² - 12 - 30 15 4 - 27 8a² - 6d² 15c² 16x² Great Marlow School Mathematics Department

4. Dividing 10 / - 2 - 12 / -4 -20 / - 5 8x / 2x - 6x / 3x - 12x / - 4x 6x² / 2x - 9x / 3 - 5 3 4 4 - 2 3 3x - 3x Great Marlow School Mathematics Department

5. Signs Together 2 + (- 3) - 4 + (- 5) - 7 – (- 3) 2x – (-4x) 5x + (- 3x) - x – (- x) (- 5x) – (-2x) - 1 - 9 - 4 6x 2x 0 - 3x Great Marlow School Mathematics Department

6. Substitution If x = 2 and y = - 3 find the value of: x² y² xy 4y 3x + 4y 3x – 4y (2x)³ x – y 4 9 - 6 - 12 6 + - 12 = - 6 6 - - 12 = 18 (4)³ = 64 2 - - 3 = 5 Great Marlow School Mathematics Department

7. 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 - 3 - 1 x 4 x – 2 = 8 - 3 - + 8 + - 2 = - 13 3(- 1 – - 2) = 3(1) = 3 - 1 - + 4 - - 2 = - 1 – 4 + 2 = - 3 1 – 16 = - 15 8 - - 6 - - 5 = 8 + 6 + 5 = 19 2 + - 2 – 3 = 2 – 2 – 3 = - 3 Great Marlow School Mathematics Department

8. 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