Review solving

What is a variable term?

Variable

A symbol to represent a value we don't know yet.
--> Commons variables are x, y & z.

Multiple Choice

Name the variable:

20 - 2x

• 20

• 2

• x

• a

Multiple Choice

Name the variable(s):

y - 3

• 3

• y

• -3

• x

What is a constant term?

Constant

A constant is a number or value that represents a number on its own.

Multiple Choice

Name the constant:

20 - 2x

• 20

• 2

• x

• a

Multiple Choice

Name the constant:

y - 3

• y

• 3

• -3

• x

Let's start solving!

2x + 3 = 12

The equation above has a variable term and constant terms.

the variable term is 2x!
the constant terms are 3 and 12!

Multiple Choice

Name the variable term:

7 - 2x = 18

• 7

• -2x

• 18

• there is none

Multiple Choice

Name the variable term:

6 = 3x - 2

• 6

• 3x

• 2

• -2

Multiple Select

Name the constant term(s).

2x + 4 = 18

• 2x

• 4

• 18

• none

Multiple Choice

Name the constant term(s):

12 = 5x

• 12

• 5

• 5x

• none

Multiple Select

Name the constant term(s):

-3x + 6 = 19 + 2x

• 6

• 19

• 2x

• -3x

How can we solve an equation for a variable?

​Isolate the variable term!

4 + 12x = 28

How do I isolate?

Find the terms next to my variable term and use the inverse operation!

4 + 12x = 28

4 + 12x = 28

4 is the term that needs to move!
4 is positive!

the inverse operation would be subtraction!

4 + 12x = 28

--> let's subtract 4 from both sides of our equation!

4 + 12x = 28

​-4 -4

________________

​ 12x = 24

12x = 24

our variable term is isolated!
BUT our variable isn't by itself yet!

12x = 24

​____ ____

12 12

​x = 2 =)

Let's slow down for a second!

What's the first step that you would do in each of the following problems?

3d - 5 = 4

Multiple Choice

3d - 5 = 4

First step?

• add 5

• subtract 5

• subtract 4

• add 3

2u + 5 = 9

Multiple Choice

2u + 5 = 9

First step?

• add 5

• subtract 5

• subtract 2

• subtract 9

6 = 2g - 4

Multiple Choice

6 = 2g - 4

First step?

• subtract 2

• add 4

• subtract 6

• none

3n - 5 = 1

Open Ended

first step?

3n - 5 = 1

1 + 2j = 5

Open Ended

first step?

1 + 2j = 5

7 - 3w = 10

Open Ended

first step?

7 - 3w = 10

Open Ended

$$\frac{h}{2}\ +\ 3\ =\ 5$$

first step?

10 = 2g + 2

Open Ended

10 = 2g + 2

first step?

182 = 5x - 37

Open Ended

182 = 5x - 37

first step?

ok NOW WHAT??

you got the variable term, alone...

but I want the VARIABLE ALONE!

2d - 5 = 7

first step: add 5

you got the variable term alone... but

2d = 12

I want the VARIABLE ALONE!

2d - 5 = 7

2d = 12

final step: divide 2

d = 6

ok let's put it all together!

4 + 3x = 6

first step: subtract 4

second step: divide by 3

-8 = 4x - 6

first step: add 6

second step: divide by 4

15 = -9 + 2x

first step: add 9

second step: divide by 2

5 - 9x = 6

first step: subtract 5

second step: divide by -9

10 = 1 + 3c

Open Ended

10 = 1 + 3c

first & second step?

5 = 3f - 1

Open Ended

5 = 3f - 1

first & second step?

Open Ended

$$\frac{y}{4}-\ 1\ =\ 3$$

first & second step?

6 = -4 + 3x

Open Ended

6 = -4 + 3x

first & second step?