Anything algebra

Question 1

How do you re arrange a quadratic equation into the completing the square equation?

Answer 1

(x + b)[2] + b[2] + c

b=1/2 of middle number
c=last number

Question 2

What is the quadratic formula?

Answer 2

(-b +/- square root of b squared + 4 a c)/2

Question 3

How do you solve simultaneous equations?

Answer 3

Get either the same amount of x on one side or the same amount of y on one side and then subtract/add them to together then simplify

Question 4

In inequalities, what should you do if you divide by a negative?

Answer 4

Flip the sign

Question 5

When plotting an inequality on a graph, how do you know which side satisfies the inequality and which doesn’t?

Answer 5

You test it by plotting a point and substitute it into the inequality, if it satisfies it then that side is the area. if it does not satisfy then you can shade that area out.

Question 6

How do you solve a quadratic inequality?

Answer 6

Solve it the quadratic on its own to find the potential values of x. then sketch a graph and plot the two points of x. then draw the semi circle to show the area that satisfies the inequality (x) then present in the formula -4

Question 7

How do know to plot the inequality graph like this U or like this n?

Answer 7

If the last number in the quadratic is positive it will be U because it goes from a positive down and back to the positive put of the graph. if it is negative it will be n because it has to go down to the negative bit.

Question 8

What is a surd?

Answer 8

The square root of a number which is irrational

Question 9

How do you estimate the value of a surd?

Answer 9

find the above and below whole number root e.g 11 and 12 (121 and 144). then use trail and error to find the closest decimal between that which will result in something near your desired surd.

Question 10

What does √ a x √ b make?

Answer 10

√ axb

Question 11

What does √ a / √ b make?

Answer 11

√ a/b

Question 12

What does x√ a X y√b

Answer 12

xy√ ab

Question 13

How do you simplify a surd?

Answer 13

1)express as a product of its prime factors
2) break down the products(still as a square root) into small chunks so that the same numbers go with each other (e.g. √ 2x2 x √ 3x3 x √ 4
3) simplify them so e.g (2 x 3 √ 4)
then (6√ 4)

Question 14

When can you add surds?

Answer 14

When the number in the square root is the same

Question 15

what does (a-b)(a+b) make?

Answer 15

a[2] - b[2]

Question 16

How do you write quadratic equation in the completing the square formula?

Answer 16

x[2] + ax + b
(y + 1/2a) + b + 1/2a[2]

1) half a and put in brackets with y
2) add b
3) minus half a squared
4) simplify

Question 17

When plotting inequalities, what does a outlined circle represent?

Answer 17

< or >

Question 18

When plotting inequalities, what does a filled in circle represent?

Answer 18

< or the same/ >or the same

Question 19

What do you need to be careful of when dividing inequalities?

Answer 19

You need to flip the > or < sign