Mastering Fractions & Algebraic Equations: A Comprehensive Guide
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This comprehensive guide covers adding, multiplying, dividing fractions, indices, ratios, direct & inverse proportion, algebraic fractions, quadratic equations, sequences, and more. It also includes tips on estimation, limits of accuracy, and substitution. Perfect for students seeking to enhance their math skills.
Mastering Fractions & Algebraic Equations: A Comprehensive Guide
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Presentation Transcript
ADDING FRACTIONS https://corbettmaths.com/2013/02/15/adding-fractions-same-denominator/ https://corbettmaths.com/2012/08/21/fractions-addition-and-subtraction/
MULTIPLYING FRACTIONS https://corbettmaths.com/2012/08/21/multiplying-fractions-2/
DIVIDING FRACTIONS https://corbettmaths.com/2012/08/21/multiplying-fractions-2/
ESTIMATION https://corbettmaths.com/2012/08/21/approximation-to-calculations/
BEST BUYS https://corbettmaths.com/2013/03/26/best-buys/
CURRENCY https://corbettmaths.com/2016/01/03/exchange-rates/
CONVERSION GRAPHS https://corbettmaths.com/2013/05/07/drawing-conversion-graphs/ https://corbettmaths.com/2012/08/09/conversion-graphs/
LCM/HCF https://corbettmaths.com/2012/08/11/lcm-and-common-multiples/ https://corbettmaths.com/2012/08/24/common-factors-and-hcf/
INDICES https://corbettmaths.com/2012/08/20/powers-indices/ https://corbettmaths.com/2013/03/13/laws-of-indices-algebra/
FRACTIONAL / NEGATIVE INDICES https://corbettmaths.com/2013/03/03/fractional-indices/ https://corbettmaths.com/2013/03/24/negative-indices/
STANDARD FORM https://corbettmaths.com/2013/04/28/standard-form/ https://corbettmaths.com/2013/05/03/standard-form-addition/ https://corbettmaths.com/2013/04/29/standard-form-multiplication/ https://corbettmaths.com/2013/05/03/standard-form-division/
PERCENTAGES OF AMOUNTS NON CALCULATOR https://corbettmaths.com/2012/08/20/percentages-of-amounts-non-calculator/ https://corbettmaths.com/2013/02/15/percentages-of-an-amount-calculator/ CALCULATOR
PERCENTAGE CHANGE https://corbettmaths.com/2013/03/31/percentage-change/
COMPOUND INTEREST https://corbettmaths.com/2012/08/21/compound-interest/
REVERSE PERCENTAGES https://corbettmaths.com/2013/02/15/reverse-percentages/
RECURRING DECIMALS TO FRACTIONS https://corbettmaths.com/2013/03/29/recurring-decimals-to-fractions/
RATIO https://corbettmaths.com/2013/03/03/simplifying-ratio/ https://corbettmaths.com/2017/03/26/19366/ https://corbettmaths.com/2013/03/03/ratio-sharing-the-total/ https://corbettmaths.com/2013/05/16/ratio-given-one-quantity/ https://corbettmaths.com/2018/01/29/given-2-ratios/ https://corbettmaths.com/2018/12/31/ratio-differences/ https://corbettmaths.com/2018/12/31/expressing-as-1n/
DIRECT PROPORTION https://corbettmaths.com/2013/04/04/direct-proportion/
INVERSE PROPORTION https://corbettmaths.com/2013/04/04/inverse-proportion/
LIMITS OF ACCURACY https://corbettmaths.com/2013/05/28/lower-and-upper-bounds/ https://corbettmaths.com/2013/05/29/limits-of-accuracy-solving-problems/
SURDS https://corbettmaths.com/2013/05/11/surds/ https://corbettmaths.com/2013/05/11/surds-addition/ https://corbettmaths.com/2013/05/11/rationalising-denominators/ https://corbettmaths.com/2013/05/11/surds-expanding-brackets/
PRODUCT RULE FOR COUNTING https://corbettmaths.com/2016/09/18/17416/
ERROR INTERVALS https://corbettmaths.com/2017/12/16/error-intervals/
COLLECTING LIKE TERMS https://corbettmaths.com/2013/12/28/collecting-like-terms-video-9/
EXPANDING A BRACKET https://corbettmaths.com/2013/12/23/expanding-brackets-video-13/
EXPANDING A DOUBLE/TRIPLE BRACKET https://corbettmaths.com/2013/12/23/expanding-two-brackets-video-14/ https://corbettmaths.com/2013/12/27/expanding-three-brackets-video-15/
FACTORISING https://corbettmaths.com/2013/02/06/factorisation/
FACTORISING QUADRATICS https://corbettmaths.com/2013/02/06/factorising-quadratics-1/ https://corbettmaths.com/2013/02/07/factorising-quadratics-2/ https://corbettmaths.com/2013/02/08/difference-between-two-squares/
ALGEBRAIC FRACTIONS https://corbettmaths.com/2013/01/19/adding-algebraic-fractions/ https://corbettmaths.com/2013/01/19/dividing-algebraic-fractions/ https://corbettmaths.com/2013/01/19/multiplying-algebraic-fractions/ https://corbettmaths.com/2013/01/19/simplifying-algebraic-fractions/
SEQUENCES (Nth TERM) https://corbettmaths.com/2012/08/20/the-nth-term-for-linear-sequences/ https://corbettmaths.com/2012/08/20/the-nth-term-for-fractional-sequences/
Nth TERM (QUADRATICS) https://corbettmaths.com/2016/08/07/quadratic-nth-term-version-1/ https://corbettmaths.com/2016/08/07/quadratic-sequences-version-2/ https://corbettmaths.com/2016/08/07/quadratic-sequences-version-3/
SUBSTITUTION https://corbettmaths.com/2012/08/20/substitution-into-expressions/
EQUATIONS https://corbettmaths.com/2012/08/24/solving-equations/ https://corbettmaths.com/2012/08/24/solving-equations-with-letters-on-both-sides/ https://corbettmaths.com/2013/04/20/forming-equations-involving-perimeter-or-angles/ https://corbettmaths.com/2013/04/20/forming-and-solving-equations/ https://corbettmaths.com/2013/05/25/algebraic-equations/ https://corbettmaths.com/2013/05/19/equations-cross-multiplication/ https://corbettmaths.com/2013/04/04/trial-and-improvement/
CHANGING THE SUBJECT https://corbettmaths.com/2013/12/23/changing-the-subject-video-7/ https://corbettmaths.com/2013/12/28/changing-the-subject-advanced-video-8/
INEQUALITIES https://corbettmaths.com/2013/05/18/inequalities-on-a-number-line/ https://corbettmaths.com/2013/05/07/solving-inequalities-one-sign-corbettmaths/ https://corbettmaths.com/2013/05/12/solving-inequalities-two-signs/
INEQUALITIES (REGIONS) https://corbettmaths.com/2013/05/27/inequalities-and-regions/
QUADRATIC INEQUALITIES https://corbettmaths.com/2016/08/07/quadratic-inequalities/
GRAPHICAL INEQUALITIES https://corbettmaths.com/2013/05/27/graphical-inequalities-part-1/ https://corbettmaths.com/2013/05/27/graphical-inequalities-part-2/
LINEAR GRAPHS https://corbettmaths.com/2013/05/29/ymxc/ https://corbettmaths.com/2012/12/23/drawing-graphs-using-xy-tables/ https://corbettmaths.com/2013/05/15/gradient-of-a-line/ https://corbettmaths.com/2013/05/29/finding-the-equation-of-a-straight-line/
PARALLEL OR PERPENDICULAR LINES https://corbettmaths.com/2013/06/06/graphs-parallel-lines/ https://corbettmaths.com/2013/06/06/perpendicular-lines-2/
SIMULTANEOUS EQUATIONS https://corbettmaths.com/2013/03/05/simultaneous-equations-elimination-method/ https://corbettmaths.com/2013/05/07/solving-simultaneous-equations-by-substitution/ https://corbettmaths.com/2013/05/07/simultaneous-equations-linear-and-quadratic/
ANGLES IN PARALLEL LINES https://corbettmaths.com/2013/04/04/parallel-lines-angles/ https://corbettmaths.com/2013/03/16/vertically-opposite-angles/
BEARINGS https://corbettmaths.com/2013/03/27/bearings/ https://corbettmaths.com/2013/03/27/position-given-bearings-from-two-points/
ANGLES IN POLYGONS https://corbettmaths.com/2012/08/10/angles-in-polygons/
CONSTRUCTIONS https://corbettmaths.com/2012/08/24/perpendicular-bisector/ https://corbettmaths.com/2013/03/26/angle-bisector/ https://corbettmaths.com/2013/03/25/perpendicular-from-a-line-to-a-point/ https://corbettmaths.com/2013/03/29/perpendicular-through-a-point-on-a-line/ https://corbettmaths.com/2012/08/24/constructing-equilateral-triangles-and-60-degree-angles/
LOCI https://corbettmaths.com/2013/03/31/loci-part-1/ https://corbettmaths.com/2013/03/31/loci-part-2/ https://corbettmaths.com/2013/03/06/loci-part-3-2/
AREA OF A TRAPEZIUM https://corbettmaths.com/2012/08/02/area-of-a-trapezium-video/
CIRCUMFERENNCE https://corbettmaths.com/2013/12/21/circumference-video-60/
AREA OF A CIRCLE https://corbettmaths.com/2013/12/22/area-of-a-circle-video-40-and-59/
ARC LENGTH https://corbettmaths.com/2013/03/26/arc-length/