Algebra Facts Flashcards

(50 cards)

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

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

What’s a geometric sequence?

A

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

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

What’s an arithmetic sequence?

A

A sequence made by adding the same value each time

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

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

A

Halve the second difference

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

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

A

Geometric Sequence

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

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

A

Linear (Arithmetic) Sequence

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

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

A

Add the previous two terms

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

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

A

Quadratic

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

What’s an identity?

A

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

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q

What type of algebra is a + b = 17

A

Formula

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q

What type of algebra is 3a + 4b?

A

Expression

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
12
Q

What type of algebra is x² + 3 = 19 ?

A

Equation

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
13
Q

What does the symbol ≡ mean?

A

Identitically equal to

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
14
Q

What does the symbol < mean?

A

Less than, but not equal to

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
15
Q

What does the symbol > mean?

A

More than, but not equal to

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
16
Q

What does the symbol ≤ mean?

A

Less than or equal to

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
17
Q

What does the symbol ≥ mean?

A

More than or equal to

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
18
Q

On an inequality diagram how do you include an integer?

A

Shade in the circle

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
19
Q

What type of graph is y = x³?

A

Cubic

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
20
Q

What type of graph is y = x²?

A

Quadratic

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
21
Q

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

22
Q

What type of graph is y = 1/x?

23
Q

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

24
Q

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

A

x² +y² = r²

25
The transformation y = f(x) + a represents a translation of the graph y = f(x) in what direction?
Up by "a"
26
The transformation y = f(-x) represents a reflection of the graph y = f(x) in which axis?
y axis
27
The transformation y = f(x + a) represents a translation of the graph y = f(x)in what direction?
Left by "a"
28
y = -f(x) represents a reflection of the graph y = f(x) in which axis?
x-axis
29
The transformation y = f(x) - a represents a translation of the graph y = f(x) in what direction?
Down by "a"
30
The transformation y = f(x - a) represents a translation of the graph y = f(x)in what direction?
Right by "a"
31
y = f(-x) represents a reflection of the graph y = f(x) in which axis?
y-axis
32
In an error interval what two symbols are always used?
≤ then
33
If a number is rounded to 2 decimal places, its upper and lower bounds will have how many decimal places?
3
34
If a number is rounded to the nearest 1000, what is the largest numbers its upper and lower bounds will be a mutliple of?
500
35
85 ≤ x < 95 is an example of what?
Error Interval
36
Why is 350 ≤ x ≤ 450 not an error interval
The second symbol should be
37
Write down the coordinates of the minimum point of the graph y = (x+a)² + b
(-a, b)
38
Write down the quadratic formula
x = -b plus minus square root of (b squared minus 4ac) all divided by 2a
39
What is the maximum amount of solutions a quadratic equation can have?
2
40
What does ± mean in the quadratic formula?
There are two solutions, one from using + and one from using -
41
"x = -b plus minus square root of (b squared minus 4ac) all divided by 2a" is called what?
The Quadratic Formulae
42
In the quadratic formula what is a
The coefficient of x²
43
How do you calculate gradient from a linear graph?
Change in y divided by change in x
44
In y = mx + c what does c represent?
y-intercept
45
In the equation of a straight line y = mx + c, what does m represent?
Gradient
46
Is the line y = 5 horizontal or vertical?
Horizontal
47
What are perpendicular lines?
Lines that are at right angles (90 degrees) to each other.
48
What axis is the line x = 0?
The y-axis
49
What do we know about two linear graphs that have the same gradient and different y intercepts
They are parallel
50
What is the gradient of a straight line perpendicular to the straight line with gradient negative two thirds?
3/2