Sweet Algebra!

Key

= +x = +1

= - x = -1

42t Addition or Positive

2

22

42

t

t

…from both sides.Take away…

Addition or Positive

t 32

There are nonegatives totake away…

Subtraction or Negative

3 3

32

t Subtraction or Negative

…so we have to add three positives to both sides...

…making zero pairs on the rightthat cancel out each other.

t

t

5

3 3

32 Subtraction or Negative

62 t Negative Multiplication

…into two groups...Split…

326

22

t

t Negative Multiplication

…of both sides.…then take the inverse…

3

326

22

t

t

t Negative Multiplication

We only have halfa negative bear…

32

t Negative Division

…so we have to double what we

have…

232

2

t Negative Division

…on both sides…

…to get one wholenegative bear…

Negative Division6 t

Negative Division

…of both sides.…then take the inverse…

6

6

t

t

Two-Step226 t

Two-Step

t

t

24

2 2

226

…from both sides...Take away…

…then split… …into two groups

Two-Step

t

t

t

2 22

24

2 2

226

The two on the outside of the parenthesis means we need to

have two groups of t + 1.

Multi-Step with Distributiontt 412 )(

Multi-Step with Distributiontt

tt

422

412 )(

We then need the variablesto be moved to one side…

…adding a positive bearto both sides…

Multi-Step with Distribution

…making a zeropair on the right.

423

422

412

t

tt

tt

tt )(

Multi-Step with Distribution

…making zero pairson the left that cancel

out each other.

There are no positives totake away on the right, so we

add two negatives to both sides…

63

2 2

423

422

412

t

t

tt

tt

tt )(

Now split…

Multi-Step with Distribution

…into three groups.

2 36

33

2 2

423

422

412

t

t

t

tt

tt

tt )(