Karteikarten
algebra
Karten in diesem Stapel (34)
- 1simplify 2x -4 + 5x +67x +2
- 2what is 3² x 3⁴3⁶
- 3what is 5⁶ / 5²5⁴
- 4what is (4⁴)²4⁸
- 5what is 3⁰1
- 6what is (3/5)³27/125
- 7what is 7-³1/7³ = 1/343
- 8what is (2/7) -³(7/2)³ = 343 / 8
- 9what is 125*2/325
- 10multiply out 4a(3b - 2c)12ab - 8ac
- 11multiply out (x-1)(x+3)x² + 2x -3
- 12simplify 9x² - 49(3x+7)(3x-7)
- 13simplify √2 x √3√6
- 14simplify √2 / √3√2/3
- 15simplify √2 + √3√2 + √3
- 16rationalise the denominator: 2/√32√3 / 3
- 17solve 5x + 4 = 8x - 5x = 3
- 18what are the six steps for solving an equation1 - get rid of fractions
2 - multiply out and brackets
3 - collect x terms on one side and number terms on the other
4 - reduce it to the form Ax = B
5 - divide both sides by A
6 - if you had x², square root to get to x = ± - 19rearrange this to give x : x² + a = yx = √y-a
- 20what are the 6 steps to factorising a quadratic when a = 11-make into standard format x² + bx + c = 0
2- write down the two brackets with the x's in: (x _)(x_) = 0
3-find two numbers that multiply to give 'c', and add / subtract to give 'b'
4-fill in the +/- signs in brackets
5-expand brackets to check
6-solve equation by setting brackets to 0 - 21how do you factorise a quadratic when a isn't 1the target number is then a x c, so you find two numbers to multiply to give a x c, and add to give b. once you have found them, input them into two of the b values, and then factorise each side of the equation individually, to give two brackets. then solve.
- 22what is the quadratic formulax = -b±√b² - 4ac / 2a
- 23how can any even number been written2n
- 24how can any odd number been written2n + 1
- 25how can any pair of consecutive numbers be writtenn, n+1
- 26what are the 6 steps to solve a simultaneous equation1-rearrange equations into form ax + by = c
2- match up the front numbers, so a = b
3- add or subtract to leave one unknown
4- solve the resulting equation
5- substitute your known into an equation to find second known
6- substitute both into one of the equations to check - 27how do you solve a simultaneous equation with a quadratic?rearrange the quadratic to have the non quadratic unknown on its own, the substitute it into the other equation, then solve.
- 28when do you use iteration and how is it donewhen the equation is too hard to solve, and you have a calculator. substitute a number into the equation, and then substitute the answer into the equation and you'll find the answer.
- 29how do you show an inequality on a graph?convert each inequality into an equation, draw the graph for each equation, a dotted line for , and a solid line for ≤/≥. work out which side of each line you want, substitute a coordinate into it, and shade the region it gives you.
- 30how do you find the nth term for a linear sequence?the difference between the numbers os the coefficient of n, the number after is however meany it takes yo match the sequence
- 31how do you find the nth term of a quadratic sequencethe second difference = 2a, so divide it by two to get a. your second difference is 3a + b, so solve by subbing in a and finding b. the original sequence is a + b + c, so now you have a and b and c. sub it into the form an² + bn + c.
- 32how do you solve by completing the square when a=1 ?rearrange the quadratic into the standard form, write out the initial bracket, (x + b/2)². multiply out the brackets, and compare to the original, and add or subtract to match the original, and add it onto the bracket.
- 33how do you solve by completing the square when a≠1 ?put equation in standard format, take out a factor of a, solve as usual.
- 34what is the minimum point of the graph 2(x + 5/4)² + 47/8(-5/4, 47/8)
Informationen
- Beschreibung
- GCSE Maths (Algebra) Karteikarten am algebra, erstellt von lizabeth rawson am 01/03/2020.
- Erstellt von
- lizabeth rawson
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- 6
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