Download - Solving Equations with Steps (Barb’s Nazi Way…) Have a white board/marker/wipe and a calculator…
Solving Equations Solving Equations with Stepswith Steps
(Barb’s Nazi Way…)(Barb’s Nazi Way…)
Have a white board/marker/wipe and a calculator…
DefinitionsDefinitions
• An EQUATION is a math sentence.– It contains two expressions, separated by
the equals sign (=).
• The WALL is merely two parallel bars drawn to separate the two expressions.
• INVERSES are operations that undo each other.
• P--E--MD--AS is done backwards.
Just Checking…Just Checking…
• What is an equation?
• How is it different from an expression?
• What is the wall?
• What are inverses?
• Give 3 examples of inverses.
• How is P--E--MD--AS done?
Example: 3x + -2 = -7Example: 3x + -2 = -7
• Why is this an equation?• What are the two expressions in
this equation?• Which one of the expressions is in
simplest form?
Steps to solve equations:Steps to solve equations:1. Copy the problem.2. Draw the wall.3. Recopy the problem (leave a little space on the
left).4. Do backwards! Use inverse operations
on both sides of the equal sign.
5. Solve like expressions - answer underneath.6. Cloud answer.7. Write the check and arrow up to original
answer.
P
E
MD
AS
SolveSolve
4x + 5 = 15
SolveSolve
4x + 5 = 15
SolveSolve
4x + 5 = 15
4x + 5 - 5 = 15
SolveSolve
4x + 5 = 15
4x + 5 - 5 = 15 - 5
SolveSolve
4x + 5 = 15
4x + 5 - 5 = 15 - 5
4x + 0 = 10
SolveSolve
4x + 5 = 15
4x + 5 - 5 = 15 - 5
4x + 0 = 10
4x = 10
SolveSolve
4x + 5 = 15
4x + 5 - 5 = 15 - 5
4x + 0 = 10
4x = 10
4 4
SolveSolve
4x + 5 = 15
4x + 5 - 5 = 15 - 5
4x + 0 = 10
4x = 10
4 4
SolveSolve
4x + 5 = 15
4x + 5 - 5 = 15 - 5
4x + 0 = 10
4x = 10
4 4
1
1
SolveSolve
4x + 5 = 15
4x + 5 - 5 = 15 - 5
4x + 0 = 10
4x = 10
4 4
1x = 2.5
1
1
SolveSolve
4x + 5 = 15
4x + 5 - 5 = 15 - 5
4x + 0 = 10
4x = 10
4 4
1x = 2.5
x = 2.5
1
1
SolveSolve
4x + 5 = 15
4x + 5 - 5 = 15 - 5
4x + 0 = 10
4x = 10
4 4
1x = 2.5
x = 2.5
1
1
SolveSolve
4x + 5 = 15
4x + 5 - 5 = 15 - 5
4x + 0 = 10
4x = 10
4 4
1x = 2.5
x = 2.5
1
1
Check: 4 • 2.5 + 5 10 + 5 = 15
SolveSolve
4x + 5 = 15
4x + 5 - 5 = 15 - 5
4x + 0 = 10
4x = 10
4 4
1x = 2.5
x = 2.5
1
1
Check: 4 • 2.5 + 5 10 + 5 = 15
SolveSolve
4x + 5 = 15
4x + 5 - 5 = 15 - 5
4x + 0 = 10
4x = 10
4 4
1x = 2.5
x = 2.5
1
1
Check: 4 • 2.5 + 5 10 + 5 = 15
Try these:Try these:
1. 125 + 3b = 154.97
2. 4t + 7 = 3
3. 15 = 3y - (-6)
4. n / (-8) + 2 = -3
5. 30 = x / 3 - 9
6. -4.2 = 23 + 8a
Bonus: 3n + 9 + 4n = 2