C1 Flashcards

(12 cards)

1
Q

Rules of Indices

A
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2
Q

Surd Rules

A
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3
Q

Rationalising Surds 1

A
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4
Q

Rationalising Surds 2

A
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5
Q

Difference of two squares

A
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6
Q

General form of a quadratic equation

A

y = ax2 + bx + c

a, b and c are constants

a cannot equal zero

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7
Q

Completing the Square Example

A

Remember to factor out any coefficient on the a

Remember to half the coefficient of b

Remember to minus any other bits

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8
Q

Quadratic Formula

A

ax2 + bx + c = 0 can be solved with the quadratic formula

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9
Q

Sketching Quadratic Graphs

A

If a>0 = smiley shaped curve

if a<0 = unhappy shaped curve

put y=0 to find the x-axis crossing points

put x=0 to find the y-axis crossing points

The discriminant:

equal roots: b2 =4ac (equals x axis points)

real roots: b2>4ac (crosses x axis points)

no real roots: b2<4ac (doesn’t cross x axis)

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10
Q

Simultaneous Equations

A

Both elimination and substitution for linear equations

Use substitution for one linear and one quadratic

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11
Q

How to solve a quadratic inequality

A

Solve the corresponding quadratic equation

Sketch the graph of the quadratic function

Use the sketch to find the required set of values

ie, if equation > 0 look above x axis (separate inequalities)

if equation < 0 look below x axis (joined inequalities)

If question has another equation, sketch both on a graph and then calculate the set of values for x which satisfy the inequalities

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12
Q

What should be done when multiplying or dividing an inequality by a negative number?

A

The inequality sign should be flipped

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