Concepts 1.1

1
Bell Work 9/8/14
Evaluate the expression.
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Next Chapter
Chapter 2 Equations
3
Heading
4/9/2016
Solving One-Step Equations (add subtract)
TSWBAT solve one-step equations using addition
and subtraction.
Students solve multi-step problems, including
word problems, involving linear equations and
linear inequalities in one variable and provide
justification for each step.
4
Notes

• Linear Equations

• the exponent of the variable(s) is one.

• variable is not in the denominator, inside a
  square root symbol, or inside an absolute value
  symbol.

Linear Equation
Not a Linear Equation
5
Notes

• Solving Equations

• Goal to get the variable by itself on one side
  of the equation. This is known as isolating the
  variable.

• This is also called solving (to solve) an
  equation.

• When we solve an equation, we find the value
  that makes the equation TRUE, called the solution.

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Notes

• Steps for Solving Linear Equations

1. Simplify both sides of the equation.

• Distribute and/or combine like terms.

2. Collect the variables to one side of the
equation.

• Collect to the side with the greater variable.

3. Use inverse operations to isolate the
variable.

• PEMDAS backwards.

• The Golden Rule (of Mathematics)

What you do to one side, you must do to the other.
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Notes

• Inverse Operations

Inverse means opposite
The inverse of

• addition is subtraction.

• subtraction is addition.

• multiplication is division.

• division is multiplication.

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Notes
Solve the equation.
Ex.
Ex.
Ex.
What is the inverse?
What is the inverse?
Check your answer!
Check your answer!
Now you try.
Ex.
Ex.
Ex.
9
Notes
Solve the equation.
Ex.
Ex.
Ex.
What is the inverse?
What is the inverse?
Check your answer!
Check your answer!
Now you try.
Ex.
Ex.
Ex.
10
Notes
Solve the equation.
Ex.
Ex.
Ex.
What is the inverse?
What is the inverse?
Check your answer!
Check your answer!
Now you try.
Ex.
Ex.
Ex.
11
Summary
Write a summary about todays lesson.
To solve equations involving addition or
___________ just do the inverse operation. If the
problem has addition, do ___________, if the
problem has subtraction, do ________. If you ever
have a double negative do leave, _______, change.
subtraction
subtraction
addition
change
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9/8 Ticket Out the Door
Complete the Ticket Out the Door without
talking!!!!!
Put your NAME class hour on the index card.
When finished, turn your index card face DOWN.
Solve the equation.
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Todays Homework
Rules for Homework

• Pencil ONLY.
• Must show all of your work.
• NO WORK NO CREDIT
• Must attempt EVERY problem.
• Always check your answers.

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Homework 2.1A
Solve the equation.