Algebra and Functions (1) Flashcards

1
Q

a^m * a^n is equivalent to?

A

a^m+n

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2
Q

a^m+n

A

a^m * a^n is equivalent to?

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3
Q

(a^m)/(a^n) is equivalent to?

A

a^m-n

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4
Q

a^m-n

A

What is (a^m)/(a^n) equivalent to?

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5
Q

(a^m)^n is equivalent to?

A

a^mn

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6
Q

a^mn

A

(a^m)^n is equivalent to?

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7
Q

a^1/m is equivalent to?

A

m¬a

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8
Q

m¬a

A

a^1/m is equivalent to?

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9
Q

a^-m is equivalent to?

A

1/a^m

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10
Q

1/a^m

A

a^-m is equivalent to?

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11
Q

a^(m/n) is equivalent to?

A

n¬(a^m)

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12
Q

n¬(a^m)

A

a^(m/n) is equivalent to?

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13
Q

a^0 is equivalent to?

A

1

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14
Q

1

A

a^0 is equivalent to?

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15
Q

What is ¬(3/16) equivalent to?

A

¬3/¬16

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16
Q

¬3/¬16

A

What is ¬(3/16) equivalent to?

17
Q

Rationalise the denominator 1/(1+¬2)?

A

(1/(1+¬2)) * ((1-¬2)/(1-¬2))

18
Q

(1/(1+¬2)) * ((1-¬2)/(1-¬2))

A

Rationalise the denominator 1/(1+¬2)?

19
Q

How to factorise quadratics in form ax^2 + bx + c?

A

Multiply a by c to get the new c
_ x _ = c
_ + _ = b
Put the two equations together and find the common factor

20
Q

Multiply a by c to get the new c
_ x _ = c
_ + _ = b
Put the two equations together and find the common factor

A

How to factorise quadratics in form ax^2 + bx + c?

21
Q

What is the equivalence of (1-¬2)/-1?

A

-1+¬2

22
Q

-1+¬2

A

What is the equivalence of (1-¬2)/-1?

23
Q

Find where 2x - 1 intercepts the x axis

A

2x - 1 = 0

x = 1/2

24
Q

2x - 1 = 0

x = 1/2

A

Find where 2x - 1 intercepts the x axis

25
Q

Find where 2x - 1 intercepts the y axis

A

2(0) - 1 = 0

y = -1

26
Q

2(0) - 1 = 0

y = -1

A

Find where 2x - 1 intercepts the y axis

27
Q

How many x intercepts are in the graph y=|2x|-1

A

2

28
Q

2

A

How many x intercepts are in the graph y=|2x|-1