Algebra Facts

Question 1

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

Answer 1

Fibonacci sequence: Add the previous two terms

Question 2

What’s a geometric sequence?

Answer 2

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

Question 3

What’s an arithmetic sequence?

Answer 3

A sequence made by adding the same value each time

Question 4

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

Answer 4

Halve the second difference

Question 5

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

Answer 5

Geometric Sequence

Question 6

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

Answer 6

Linear (Arithmetic) Sequence

Question 7

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

Answer 7

Add the previous two terms

Question 8

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

Answer 8

Quadratic

Question 9

What’s an identity?

Answer 9

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

Question 10

What type of algebra is a + b = 17

Answer 10

Formula

Question 11

What type of algebra is 3a + 4b?

Answer 11

Expression

Question 12

What type of algebra is x² + 3 = 19 ?

Answer 12

Equation

Question 13

What does the symbol ≡ mean?

Answer 13

Identitically equal to

Question 14

What does the symbol < mean?

Answer 14

Less than, but not equal to

Question 15

What does the symbol > mean?

Answer 15

More than, but not equal to

Question 16

What does the symbol ≤ mean?

Answer 16

Less than or equal to

Question 17

What does the symbol ≥ mean?

Answer 17

More than or equal to

Question 18

On an inequality diagram how do you include an integer?

Answer 18

Shade in the circle

Question 19

What type of graph is y = x³?

Answer 19

Cubic

Question 20

What type of graph is y = x²?

Answer 20

Quadratic

Question 21

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

Answer 21

Exponential

Question 22

What type of graph is y = 1/x?

Answer 22

Reciprocal

Question 23

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

Answer 23

(0,1)

Question 24

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

Answer 24

x² +y² = r²

Question 25

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

Answer 25

Up by "a"

Question 26

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

Answer 26

y axis

Question 27

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

Answer 27

Left by "a"

Question 28

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

Answer 28

x-axis

Question 29

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

Answer 29

Down by "a"

Question 30

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

Answer 30

Right by "a"

Question 31

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

Answer 31

y-axis

Question 32

In an error interval what two symbols are always used?

Answer 32

≤ then

Question 33

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

Answer 33

3

Question 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?

Answer 34

500

Question 35

85 ≤ x < 95 is an example of what?

Answer 35

Error Interval

Question 36

Why is 350 ≤ x ≤ 450 not an error interval

Answer 36

The second symbol should be

Question 37

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

Answer 37

(-a, b)

Question 38

Write down the quadratic formula

Answer 38

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

Question 39

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

Answer 39

2

Question 40

What does ± mean in the quadratic formula?

Answer 40

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

Question 41

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

Answer 41

The Quadratic Formulae

Question 42

In the quadratic formula what is a

Answer 42

The coefficient of x²

Question 43

How do you calculate gradient from a linear graph?

Answer 43

Change in y divided by change in x

Question 44

In y = mx + c what does c represent?

Answer 44

y-intercept

Question 45

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

Answer 45

Gradient

Question 46

Is the line y = 5 horizontal or vertical?

Answer 46

Horizontal

Question 47

What are perpendicular lines?

Answer 47

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

Question 48

What axis is the line x = 0?

Answer 48

The y-axis

Question 49

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

Answer 49

They are parallel

Question 50

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

Answer 50

3/2