Algebra techniques

​(-2 X -7) - (5 X -7) = 14 - (-35)
= 14 + 35
= 49

​(-2 X -7) - (5 X -7) = -14 - (-35)
= -14 + 35
= 35 - 14
= 21

​(-2 X -7) - (5 X -7) = 14 - (-35)
= 14 - 35
= -21

​(-2 X -7) - (5 X -7) = -14 - (-35)
= -14 - 35
= -49

​(2p - 1) + 1 = (5) + 1

​2p - 1 + 1 = 5 + 1

​2p = 6

​(2p) ÷ 2 = (6) ÷ 2

​(2p) ÷ 2 = (6) ÷ 2

​p = 3

​b = 1

​d = 4

​Multiple variables

​y = 3 - 2x

​(2p) ÷ 2 = (6) ÷ 2

​(2p) ÷ 2 = (6) ÷ 2

​10 + (-8) = 2, t = -4

​2k = -18, k = -9

​2x = -3, x = -3/2

​x = 6

​x = 8

​x = 5

x = -48

d = -5

​b = 6

p = 11

r = 8

​x = 3
x = 0

​6 X 6 can be written as 6² . This is called a square.

​The square root of a number is the non-negative number that, when multiplied by itself, produces the given number. For example the square root of 36 is 6, because 6 X 6 = 36.

It is written √36 = 6

​4 X 4 X 4 can be written as 4³ . This is called a cube.

The cube root of a number is the non-negative number that, when multiplied by itself twice, produces the given number. For example the cube root of 64 is 4, because 4 X 4 X 4 = 64.

It is written ∛64 = 4

When multiplying squared numbers:
3² X 3² = 3 X 3 X 3 X 3
= 3⁴

Now make a rule for any number:
x² X x² = x⁴

What happens if I multiply the square of a number x by the cube of that same number?

​x² X x³ = (x X x) x (x X x X x)
= x⁵


What about x² X y³?
x² X y³ = x X x X y X y X y
= x²y³

​What if x has a coefficient?

2x² X x² =




7x³ X 9x⁷ =




2x² X 3y⁴ X 4x² =

​We can also divide with indices (powers/exponents):