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44 Cards in this Set
- Front
- Back
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f(x) + 3 means? |
-outside function -do as told (go up) |
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f(x+3) means? |
-inside function -don't do as told (opposite) |
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plotting cubics? |
-draw out table >equation separated down left column |
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rules for surds: |
-list square numbers -same square root cancel out -write all steps |
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circumference of a circle? |
pie d |
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area of a corlce |
pie x r squared |
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volume of a prism? |
area of cross section x length |
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quadratics with trial and improvement |
-3 columns -write too big or too small -see which value it is closer to |
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equation for probability |
p = number of ways / total number of outcomes |
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what does mutually exclusive mean? |
can't happen at the same time |
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what does independent events mean? |
does not affect other events |
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distance time graphs |
-speed = distance / time -acceleration or deceleration are curved |
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Quadratic graphs |
-draw table -where 2 lines cross find the possible for 2 values of x |
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how to calculate mass? |
mass = density x vol |
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percentage increase |
start with 100 add on percentage increase x by the decimal version |
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percentage decrease |
start with 100% subtract percentage decrease x by decimal version |
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compound interest equation |
balance x multiplier to the power of years |
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simple interest method |
find percentage multiply by number of years and add on |
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percentage change equation |
new = old x multiplier |
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Similar shapes |
-exact enlargement -sides are in the same ratio |
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similarities in area and vilume |
FIND THE SCALE FACTOR |
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how to factorise quadratics |
+ > ?x x > ? - 2 brackets |
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What happens if there's a co efficient? |
-find a target number by number in front of x & number -factorise seperately |
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Difference of two squares |
-only if the equation is negative |
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Solving quadratic equations by factorising |
-see where they cross on the x axis -swap the signs to equal 0 |
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Solving quadratics by completing the square |
-half the number in front of x -multiply our the share bracket -look what u have and compare (go from worked out to original) |
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To solve by completing the square |
1) complete the square first 2) factorise REMEMBER PLUS AND MINUS |
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When do you use the quadratic formula? |
when a is greater than 1 -do plus version and minus version |
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When using sine and cosine rule... |
-corners : capital letters -sides : lower case |
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How to solve trig equations: |
-solve the sinx -inverse sin -draw symmetry of graph |
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what does f(x+a) +b show? |
translation of y = f(x) by -a / b x mean inside x movement value outside is outside y movement |
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Simultaneous equations with quadratics |
- one linear and one quadratic >always rearrange linear equation >sub into quadratic as you don't have to square >rearrange to get zero >work out and sub back in to get y |
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recognising graphs of equations |
quadratic is a curve cubic is like a zigzag reciprocal is 2 L shapes exponential cuts y at 1 |
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direct proportion |
-find value of k using given values -sub k into equation and answer the question |
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how to do inverse proportion |
-as one increased the other decreases y is inversely proportionate to k / x -sub info into question |
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Triangular based prism |
surface area: area of base + 4 x area of tri volume : 1/3 a(squared) x height |
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Cone |
surface area : pie x r(squared) + pie x r x length volume: 1/3 pie x r(squared) x h |
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Sphere |
surface area: 4 x pie x r(squared) volume: 4/3 pie x r(cubed) |
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Cylinder |
surface area: 2 x pie x r(squared) + pie x d x h volume: pie x r(squared) x h |
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How to find the arc length |
AB = angle /360 x 2pier |
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How to work out the sector area |
AOB = angle/360 x pie r(squared) |
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How to find the perimeter of a sector; |
arc length + 2 x radius |
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how to find the area of a segment: |
area of segment - area of triangle |
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how to find the are of a shaded area: |
big sector - small sector |
