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Walbottle Higher Facts 2 By Area > Algebra Facts > Flashcards

Algebra Facts Flashcards

1
Q

What do we call this sequence and how do we get the next term? 1, 1, 2, 3, 5, 8, ….

A

Fibonacci sequence: Add the previous two terms

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2
Q

What’s a geometric sequence?

A

A sequence made by multiplying by the same value each time.

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3
Q

What’s an arithmetic sequence?

A

A sequence made by adding the same value each time

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4
Q

When finding the nth term of a quadratic sequence how do we find the coefficient of n²?

A

Halve the second difference

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5
Q

What type of sequence is 2, 6, 18, 54?

A

Geometric Sequence

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6
Q

What type of sequence is 8, 14, 20, 26?

A

Linear (Arithmetic) Sequence

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7
Q

How do you find the next term in a fibonacci sequence?

A

Add the previous two terms

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8
Q

What type of sequence is 2, 8, 18, 32?

A

Quadratic

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9
Q

What’s an identity?

A

An equation that is true no matter what values are chosen.

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10
Q

What type of algebra is a + b = 17

A

Formula

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11
Q

What type of algebra is 3a + 4b?

A

Expression

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12
Q

What type of algebra is x² + 3 = 19 ?

A

Equation

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13
Q

What does the symbol ≡ mean?

A

Identitically equal to

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14
Q

What does the symbol < mean?

A

Less than, but not equal to

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15
Q

What does the symbol > mean?

A

More than, but not equal to

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16
Q

What does the symbol ≤ mean?

A

Less than or equal to

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17
Q

What does the symbol ≥ mean?

A

More than or equal to

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18
Q

On an inequality diagram how do you include an integer?

A

Shade in the circle

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19
Q

What type of graph is y = x³?

A

Cubic

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20
Q

What type of graph is y = x²?

A

Quadratic

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21
Q

What type of graph is y = 2 to the power of x?

A

Exponential

22
Q

What type of graph is y = 1/x?

A

Reciprocal

23
Q

Where does the graph of y = a to the power x meet the y-axis?

A

(0,1)

24
Q

Write down the equation of a circle centre (0, 0) and radius r.

A

x² +y² = r²

25
Q

The transformation y = f(x) + a represents a translation of the graph y = f(x) in what direction?

A

Up by “a”

26
Q

The transformation y = f(-x) represents a reflection of the graph y = f(x) in which axis?

A

y axis

27
Q

The transformation y = f(x + a) represents a translation of the graph y = f(x)in what direction?

A

Left by “a”

28
Q

y = -f(x) represents a reflection of the graph y = f(x) in which axis?

A

x-axis

29
Q

The transformation y = f(x) - a represents a translation of the graph y = f(x) in what direction?

A

Down by “a”

30
Q

The transformation y = f(x - a) represents a translation of the graph y = f(x)in what direction?

A

Right by “a”

31
Q

y = f(-x) represents a reflection of the graph y = f(x) in which axis?

A

y-axis

32
Q

In an error interval what two symbols are always used?

A

≤ then

33
Q

If a number is rounded to 2 decimal places, its upper and lower bounds will have how many decimal places?

A

3

34
Q

If a number is rounded to the nearest 1000, what is the largest numbers its upper and lower bounds will be a mutliple of?

A

500

35
Q

85 ≤ x < 95 is an example of what?

A

Error Interval

36
Q

Why is 350 ≤ x ≤ 450 not an error interval

A

The second symbol should be

37
Q

Write down the coordinates of the minimum point of the graph y = (x+a)² + b

A

(-a, b)

38
Q

Write down the quadratic formula

A

x = -b plus minus square root of (b squared minus 4ac) all divided by 2a

39
Q

What is the maximum amount of solutions a quadratic equation can have?

A

2

40
Q

What does ± mean in the quadratic formula?

A

There are two solutions, one from using + and one from using -

41
Q

“x = -b plus minus square root of (b squared minus 4ac) all divided by 2a” is called what?

A

The Quadratic Formulae

42
Q

In the quadratic formula what is a

A

The coefficient of x²

43
Q

How do you calculate gradient from a linear graph?

A

Change in y divided by change in x

44
Q

In y = mx + c what does c represent?

A

y-intercept

45
Q

In the equation of a straight line y = mx + c, what does m represent?

A

Gradient

46
Q

Is the line y = 5 horizontal or vertical?

A

Horizontal

47
Q

What are perpendicular lines?

A

Lines that are at right angles (90 degrees) to each other.

48
Q

What axis is the line x = 0?

A

The y-axis

49
Q

What do we know about two linear graphs that have the same gradient and different y intercepts

A

They are parallel

50
Q

What is the gradient of a straight line perpendicular to the straight line with gradient negative two thirds?

A

3/2

Walbottle Higher Facts 2 By Area (7 decks)

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