Algebra (MCAT)

Description

NCEA 1 Math (MCAT Algebra) Flashcards on Algebra (MCAT), created by Sally Davis on 03/09/2013.
Sally Davis
Flashcards by Sally Davis, updated more than 1 year ago
Sally Davis
Created by Sally Davis about 11 years ago
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Resource summary

Question Answer
When multiplying do you times or add powers? \(x^3\) x \(x^5\) = ? Add \(x^3\) x \(x^5\) = \(x^8\)
Solve ( \(x^3\) ) \(^3\) x = 9 Powers times together normally
Solve (3\(x^3\) )\(^3\) 27\(x^9\) It's 3 x3 x3
Solve \[\frac{x^9}{x^7}\] \(x^2\) You subtract powers if they're in a fraction
Simplify \[\frac{15x^2y}{12xy^4}\] \[\frac{5x}{4y^3}\] Find what goes into both numbers and find common letters
Simplify \[\frac{(3p^2q)^3 x (2pq^2)^2}{54p^7q^8}\] \[\frac{2p}{q}\] Don't forget to simplify!
Adding fractions Solve: \(\frac{x}{3}\)+ \(\frac{y}{2}\) \[\frac{2c+3y}{6}\] Upside down BBQ table
Multiplying fractions Solve: \(\frac{ab}{d^2}\)x\(\frac{4a}{3b}\) \[\frac{4a^2}{3d^2}\] You just turn letters into powers and don't forget to simplify at the end!!
Dividing fractions Solve: \(\frac{6p^2q}{7p}\)% \(\frac{2p^3}{3q}\) Swap the last fraction around and turn it into multiplication \[\frac{9q^2}{7p^2}\]
*TIP* EXPAND QUADS IN A PUNNET SQUARE! SO MUCH EASIER :D
Expand this quad: (x+2)(x-7) \(x^2\)-5x-14 You times everything together quadruple rainbow
Expand: (x-5)\(^2\) (x-5)(x-5) Put into brackets
Factorise: \(x^2\)+7x+10 (x+2)(x+5) Something that adds to the x factor and multiples to make the end number
\(x^2\)-49 (x-7)(x+7) Add together to make 0, Pretend there is a 0x in the middle
Solve: \(x^2\)=27 x=3 3%3%3
Make n the subject: 6( \(\frac{n}{4}\)-5) n=4( \(\frac{d}{6}\)+5) move the six first, then five, move the four but make sure the others are in a bracket.
Factorise: \(x^2\)+30x+200=2000 (x+6)(x-3) - Make it equal 0 - Factorise
A wire frame is made so its length is 'l' is 4cm longer than its width 'w'. It's height 'h' is 1cm shorter than it's width. Write an expression for both height and length h=w-1 l=w+4
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