1. Solving 2 step equations
Opposite
Do the _________ of what the equation says
Do the ___________to both sides of =
Use ______________ order of operations
Justify your work!
Same steps
Backwards
Add or Subtract
Mult. or Divide
________________ BEFORE _________________
3x + 8 = 23
H = 7 2
sub prop =
add prop =
3x = 15 2*
H =11 2
*2 mult pr =
div prop =
X = 5 mult id
1H = 22 mult id
H = 22
Jim buys 3 shirts and a pair of jeans for $50.
The jeans cost $23. Write and equation to
find the cost of each shirt.
3 s + J = 50
3 s + 23 = 50
sub prop =
3s = 27
div prop =
s = 9 mult id
Cost of each shirt is $9

2. Solving multi- step equations
Combine __________ by adding them together.
Get all the ___________ on one side of the =.
Get all the ___________ on the OTHER side.
Like Terms
Variables
Numbers
Change the Sign
Cross the line and
To finish solving, usually ___________
Divide
3x x = 23
5T – 4 = 3T + 8
5x = 23
5T -3T -4 = 8
2T -4 = 8
5x = 15
2T = 8 +4
2T = 12
X = 3
T = 6
3x+1 x
Solve for x if the perimeter is 33
Solve for X
3x+4
6x + 7
4x-9
3x+1 + 3x+4 + x = 33
3x+1 + 3x +4 + x = 33
7x + 5 = 33
6x + 7 = 4x - 9
7x =
7x = 28
6x – 4x + 7 =
2x + 7 = -9
X = 4
2x = -16
X = -8

3. MULTIPLYING OR DIVIDING BY A NEGATIVE (-) SWITCHES THE INEQUALITY!
Solving Inequalities
>
Greater Than
Symbols
Greater Than or equal
>
Less Than
<
Less Than or equal
<
Rules
Solve just like an equation, but check which way
The inequality is going.
MULTIPLYING OR DIVIDING BY A NEGATIVE (-) SWITCHES THE INEQUALITY!
Example
X+8 > 10
X > 2
Example
2x+7 < 3
2x < -4
x < -2
-4X – 1 < 11

4. MULTIPLYING OR DIVIDING BY A NEGATIVE (-) SWITCHES THE INEQUALITY!
Solving Inequalities
P 7
Greater Than
>
Greater Than or equal
>
Less Than or equal
<
Less Than
<
Solve just like an equation, but check which way the inequality goes.
MULTIPLYING OR DIVIDING BY A NEGATIVE (-) SWITCHES THE INEQUALITY!
EX #1: X+8 > 10
ANY number greater
than 2 makes this true!
X+8 > 10
EX #2: 2X + 7 < 3
X > 2
2x+7 < 3
2x < -4
ANY number less than or
equal -2 makes this true!
EX #3: -4X – 1<11
x < -2
-4X – 1 < 11
-4x < 12
X > -3
SWITCH the sign!!

5. Solving Literal Equations
An equation with more than 1 variable.
Often a formula
Solving
To SOLVE a literal equation, get one variable by itself.
Show the regular solving steps, but
DON’T DO THE MATH!
Regular
Equation
3 X + 5 = 14
Subtract the 5 : sub property
3x = 14-5
/ / 3
Divide by 3 : division property
X = (14-5)/3 = 9/3 = 3
Literal
Equation
4X + 6Y = W
-6Y Y
Subtract the 6 : sub property
4x = W-6Y
/ / 4
Divide by 4 : division property
X = W-6Y 4
5 = (3N) 4
A = (HB) 2
Solve for B
*4 *4
*2 *2 mult prop
mult prop
20 = 3N
2A = H*B
/ / div prop
/H /H div prop
20/3 = N
2A/H = B