1 of 36

SOLVING ALGEBRAIC EQUATIONS

2 of 36

How do we figure out n?

n = 6 + 10

“6 plus 10 equals what?”

3 of 36

How do we figure out n?

4 = 3 + n

“3 plus what (n) equals 4?”

4 of 36

How do we figure out j?

48 = 28 + j

“28 plus what (j) equals 48?”

5 of 36

How do we figure out e?

192 = e – 17

“What (e) take away 17 equals 192?”

6 of 36

THERE’S A MATHEMATICAL WAY TO DO THIS MUCH EASIER!

7 of 36

ALGEBRA DEFINITION

INVERSE

OPERATIONS

8 of 36

ALGEBRA DEFINITION

RECIPROCAL

OPERATIONS

9 of 36

10 of 36

INVERSE OPERATIONS

+

-

x

÷

xy

√

The opposite of

The opposite of

The opposite of

11 of 36

INVERSE OPERATIONS

+

-

x

÷

x2

√

SAME NUMBER

OPPOSITE OPERATION

12 of 36

INVERSE OPERATIONS

0 + 4 = 4

4 - 4 = 0

13 of 36

How do we figure out n?

“3 plus what (n) equals 4?”

4 = n

WE NEED TO GET n ALONE

3 +

LEFT SIDE

RIGHT SIDE

-3

SAME NUMBER

OPPOSITE OPERATION

14 of 36

BUT WAIT!

15 of 36

16 of 36

WHAT �YOU DO FOR ONE CHILD…

…YOU MUST �DO FOR �THE OTHER

#MRSTAVSSISTER

17 of 36

ALGEBRA RULE #1

WHAT YOU DO TO ONE SIDE YOU MUST DO TO THE OTHER!

18 of 36

How do we figure out n?

4 = 3 + n

“3 plus what (n) equals 4?”

-3

SAME NUMBER

OPPOSITE OPERATION

-3

19 of 36

How do we figure out n?

4 = 3 + n

“3 plus what (n) equals 4?”

-3

SAME NUMBER

OPPOSITE OPERATION

-3

1

0

20 of 36

How do we figure out n?

1 = 0 + n

“3 plus what (n) equals 4?”

21 of 36

1 = 0 + n

“3 plus what (n) equals 4?”

How do we figure out n?

22 of 36

1 = n

“3 plus what (n) equals 4?”

How do we figure out n?

23 of 36

48 = 28 + j

“28 plus what (j) equals 48?”

-28

SAME NUMBER

OPPOSITE OPERATION

-28

How do we figure out j?

24 of 36

20 = 0 + j

“28 plus what (j) equals 48?”

How do we figure out j?

25 of 36

192 = e – 17

“What (e) take away 17 equals 192?”

+17

SAME NUMBER

OPPOSITE OPERATION

+17

How do we figure out e?

26 of 36

209 = 0 + e

“What (e) take away 17 equals 192?”

How do we figure out e?

27 of 36

192 = e – 17

“What (j) take away 17 equals 192?”

How do we figure out e?

28 of 36

This is called:

  • “Solving an equation”
  • “Isolating a variable”

​

I CALL IT…

  • “Math Murder”

29 of 36

a) a + 6 = 14 b) b + 402 = 865 c) 6 422 + c = 7 344

 

 

 

d) d – 2 = 5 e) e – 323 = 11 f) 5 224 – 5 – f = 12

TRY IT

30 of 36

a) a + 6 = 14

TRY IT

31 of 36

a) a + 6 = 14 b) b + 402 = 865

TRY IT

32 of 36

SQUARE DANCE

SHOWDOWN

1

2

33 of 36

MATH JOURNAL

MATH�GAME

INDEPENDENT WORK

TECH�CENTRE

Aliya

Janagan

Cianna

Katerina

Marissa

Indiya

Korraugh

Anson

Ariella

Ayesha

Aysia

Alize

Tishaunn

Aniya

Makayla

Niara

Pari

Rameen

Veronica

Aerin

Deepthi

Jasmine

Jeffrey

Nathan

Shafeeq

Alyson

Alyssa

Jayce

Mkwasi

Sar-alty

Sue

MRSTAV

GUIDED

WITH STAV

1 2 3 4 5

34 of 36

MATH JOURNAL

MATH�GAME

INDEPENDENT WORK

TECH�CENTRE

Colton

Chloe

Jamila

Najaela

Peach

​

Anousha

Beatrice

Cameron

Dominic

Zachary

​

Annika

Mini Strach

Somaya

Talia

Victoria

Ruthie

Demi

Elicia

Greyson

Jaylan

Yonge

To Uyen

Cody

Jaime

Nevaeh

Noah

Stella

Xzavior

MRSTAV

GUIDED

WITH STAV

1 2 3 4 5

35 of 36

S+202-2÷(42+84)-(4+T) = A+V2+(4+T+A+V+52)�S+202-2÷(42+84)-(4+10) = 2+52+(4+10+2+5+52)�S+202-2÷(16+4096)-(4+10) = 2+52+(4+10+2+5+25)�S+202-2÷4112-14 = 2+25+46�S+202-0.000486381323-14 = 2+25+46�S+187.9995136187- 187.9995136187 = 73-187.9995136187�S = -114.9995136187�S = -115�

Solve for S, when T = 10, A = 2, V = 5

BEDMAS

36 of 36

S+202-2÷(42+84)-(4+T) = A+V2+(4+T+A+V+52)�

Solve for S, when T = 10, A = 2, V = 5

BEDMAS