Algebra Stuff

Question 1

Explain how you expand 2(4x + 9)
And solve it

Answer 1

Times each 4x and 9 by 2 to get 8x +18

Question 2

Solve and explain the answer to a to the power of m times a to the power of n

Answer 2

A to the power of n plus m.

When doing multiplication - add up indices providing indices are the same

Question 3

What is a to the power of 0

Answer 3

1.

Anything to the power of 0 is one

Question 4

What is a to the power of m divided by a to the power of n.

Explain and solve

Answer 4

If the base is the same, then the powers are subtracted, so the answer is:

A to the power of m minus n

Question 5

(A to the power of m) to the power of n

Explain and solve

Answer 5

A to the power of mn ( m times n)

When the powers are like this, inside and outside of brackets, you multiply them

Question 6

Explain how you would solve this

5 + 4(5x + 2) = 7(5x +6)

Answer 6

As there are many answers, there is no answer here - but here is the explanation

First you expand the brackets and get 5 + 20x + 8 = 35x +42
Then collect like terms : 13 + 20x = 35x +41

Then get the numbers and xs on one side - here is one possible way 13- 41 = 35x - 20x. The. You collect like terms again: -28 = 15x making -25/15

There might be small mistakes here - did this by head

Question 7

What’s the formula for a straight line

Answer 7

Y = mx + c

Question 8

What does the m and c stand for in straight lines

Answer 8

M is gradient and c is y intercept

Question 9

Sorry there’s no Simultaneous equations - I haven’t learnt them yet