Section Two - Algebra

Question 1

Concerning powers:

When you multiply you…
When you divide you….

Answer 1

You add / subtract

Question 2

When raising one power to another you

Answer 2

Multiply them

Question 3

X⁰ =

Answer 3

1

Question 4

Concerning powers

For fractions you

Answer 4

Apply the power to both top and bottom

Question 5

When you see a negative power…

Answer 5

Turn the number upside down to make it positive

Question 6

The power 1/2
1/3
1/4 means…

Answer 6

… square root
Cube root
Fourth root
Ect

Question 7

When the powers a fraction

Answer 7

Split into a root and a power and do them in order

Question 8

When you have one thing squared takeaway another thing squared how do you factorise it?

Answer 8

A² - B² = (a+b) (a-b)

Question 9

When multiplying or dividing 2 surds you

Answer 9

Put them under the same root sign then ×/ ÷

Question 10

When you have a fraction in which one of the numbers is a surd you

Answer 10

Times both bottom and top by surd

Question 11

What formula gives the solution to any quadratic equation

Answer 11

The one on the sheet with the divide by 2a bit

Question 12

How to find the nth term of a linear sequence (3)

Answer 12

Find the common distance between the numbers. This is why you multiply n by

Work out what to add and subtract

Put both together

Question 13

How to find nth term of a quadratic sequence

It has an n² term

Answer 13

Find difference between each term.

The terms are changing so find differences between the differences

Divide by 2 to get the n in the n²

Subtract n² from each term in sequence

Find rule for the now linear sequence then add to the n²

Question 14

When they ask you if a certain value is in a sequence…

Answer 14

Subsitute it into the expression

Question 15

When you multiply or divide by a negative number in an algebraic inequality…

Answer 15

You must flip the sign

Question 16

For inequalities on a number line, the open dot =
Coloured dot =

Answer 16

Less than/ more than
Less/ more than or equal to

Question 17

How to show inequalities on a graph

Answer 17

Put equals in place of inequalities sign

Draw line for each equation

Work out which side of line you want by putting a point into the inequality

Shade the region

Question 18

How to solve simultaneous equations where both equations are linear( no squares)

Answer 18

Rearrange equations to ax + by = c

Make the numbers for either ax or by the same in both equations

Add or subtract to eliminate the two terms with same coefficient

Solve equation

Substitute value into first equation and solve.

Question 19

When solving simultaneous equations where one is quadratic you use the

Answer 19

Non quadratic equation first

Question 20

What is the equation for sloping lines that go through 0,0

Answer 20

Y=ax where a is the gradient

Question 21

Gradient =

Answer 21

Change in y ÷ change in x

Question 22

What is the straight line equation

Answer 22

Y=mx+c

Question 23

2 methods for drawing straight line graph

Answer 23

Table of values

Y=mx+c

Question 24

How to find midpoint of a line segment

Answer 24

Add x coordinates of of each side together then divide by 2

Do same with y

Question 25

Parallel lines have the same

Answer 25

Gradient

Question 26

Perpendicular lines cross at a….
There gradients multiply to…

Answer 26

Right angle
-1