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Select Target 1 simplify by collecting like terms with one letter only 2 simplify by collecting like terms with multiple letters and numbers 3 simplify by multiplying numbers and letters together 4 simplify by using the basic rules of indices for multiply, divide and brackets 5 simplify expressions in brackets with powers 6 expand single brackets by a whole number 7 expand single brackets by numbers and letters 8 expand double brackets of the type (x±a)(x±b) 9 expand double brackets of the type (ax±b)(cx±d) 10 expand double brackets of the type (ax±b)² 11 factorise simple expressions 12 factorise more complex expressions 13 factorise quadratics of the type x²+bx+c into 2 brackets 14 factorise quadratics of the type ax²+bx+c into 2 brackets 15 factorise quadratics of the type x² - a² into 2 brackets by using the difference of 2 squares How to Q1 Q2 Q3 look carefully at the signs and add or subtract as appropriate 5a + 2a 6a - 4a 3a + 2a - a put the same letters in columns and add or subtract as appropriate 6a + 5 +8 5a + 2b + 3a + 7b- 2a5y - 1 - 2y + 8 multiply the numbers and then the letters. Remember that we do not use x signs between numbers and letters in algebra. 3a x 2b 5a 2c x 5d x 4e x 2a add the powers when multiplying, subtract the powers when dividing and multiply the powers in brackets y³ x y² h² ÷ h³ (a³)³ raise every number and letter to the power outside the bracket (2xy²)² (5a²b)³ (3x³y²)³ use the grid method and multiply the terms by the number outside the bracket 5(a+7) 3(b-4) 4(5y+2) use the grid method and multiply the terms by the number and letter outside the bracket 2a(a+6) 5b(3b-1) 3a²(4a+7) use the grid method and think carefully about the signs when you are multiplying and adding (x+7)(x+5)(x-3)(x+5) (x+9)(x-2) use the grid method and think carefully about the signs when you are multiplying and adding (5x-1)(2x+7) (2x+3)(x+4) (3x+4)(3x-4) use the grid method and remember that you need a double grid. (x+5)² (x-9)² (2x+3)² use the BIG F method and take out the highest common factor 3y + 15 4h - 10 24a + 40b use the BIG F method and take out the highest common factors 3y²+6y 4ab - 16b²20a²b³+35ab² find 2 numbers that Add to make the middle term and Times to make the end term. Remember AT. x² x² + 5x + 6x² + 2x - 15 - 3x - 40 find the 2 numbers that multiply to make the first term and multiply to make the end term. Then check to make sure the middle term is correct. 20 16 2x² + 9x + 3x² + 22x -5x² - 31x - 28 spot the squares in the first and second terms then use the form (x+a)(x-a) x² - 9 x² - 100 4x² - 25 Q4 5a - 3a + 2a - 10a 8a + 2b - 3 -5b + 2a + 7 3h² x 2g³ x 4h³ x g (v³ x v³)² (8b³cd²)² 7(3d+2f-4h) 4y²(5y³-7) (x-6)(x-3) (2x-5)(3x-1) (3x-1)² 9a+12b-18 15ab²-10ab+45ab³ x² - 14x + 48 4x² - 20x + 21 16x² - 81y² Comment To improve you need to be able to simplify by collecting like terms with one 1 letter only 1 To be able to do this you must remember to 1 look carefully at the signs and add or subtract as appropriate Try these questions to help you to improve this skill 1 5a + 2a 6a - 4a 1 3a + 2a - a 5a - 3a + 2a - 10a Have you now achieved this target? Comment To improve you need to be able to simplify by collecting like terms with one 1 letter only 1 To be able to do this you must remember to 1 look carefully at the signs and add or subtract as appropriate Try these questions to help you to improve this skill 1 5a + 2a 6a - 4a 1 3a + 2a - a 5a - 3a + 2a - 10a Have you now achieved this target? Comment To improve you need to be able to simplify by collecting like terms with one 1 letter only 1 To be able to do this you must remember to 1 look carefully at the signs and add or subtract as appropriate Try these questions to help you to improve this skill 1 5a + 2a 6a - 4a 1 3a + 2a - a 5a - 3a + 2a - 10a Have you now achieved this target? Comment To improve you need to be able to simplify by collecting like terms with one 1 letter only 1 To be able to do this you must remember to 1 look carefully at the signs and add or subtract as appropriate Try these questions to help you to improve this skill 1 5a + 2a 6a - 4a 1 3a + 2a - a 5a - 3a + 2a - 10a Have you now achieved this target?

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microsoft excel, rules of exponents, file search, Excel Xls, lowest terms, distributive property, search engine, Lesson Plan, use properties, simplify expressions

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posted: | 3/18/2011 |

language: | English |

pages: | 4 |

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