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Solving
Equations
by by
Solving
Equations
2-1
2-1 Adding or Subtracting
Adding or Subtracting
Warm Up
Lesson Presentation
Lesson Quiz
Holt Algebra 1
Solving Equations by
2-1 Adding or Subtracting
Objective
Solve one-step equations in one
variable by using addition, subtraction,
multiplication or division.
Holt Algebra 1
Solving Equations by
2-1 Adding or Subtracting
Vocabulary
Operation
Inverse operation
equation
solution of an equation
Holt Algebra 1
Solving Equations by
2-1 Adding or Subtracting
Mathematical Operation: A process performed
on two values.
+ - x /
Inverse Operation: An operation that undoes
another operation
Holt Algebra 1
Solving Equations by
2-1 Adding or Subtracting
Equations vs. expressions
• Expression: a grouping of
numbers/variables and operations
An equation is a mathematical statement that
two expressions are equal.
Holt Algebra 1
Solving Equations by
2-1 Adding or Subtracting
A solution of an equation is a value of the
variable that makes the equation true.
Holt Algebra 1
Solving Equations by
2-1 Adding or Subtracting
GOLDEN RULE OF EQUATIONS
You can perform any operation on one side of
an equation as long as you perform the exact
same operation on the other side.
Holt Algebra 1
Solving Equations by
2-1 Adding or Subtracting
An equation is like a balanced
scale. To keep the balance, perform
the same operation on both sides.
Holt Algebra 1
Solving Equations by
2-1 Adding or Subtracting
Some equations contain variables.
Example: x + 2 = 5
SOLUTION: any value that makes an
equation a true statement
Holt Algebra 1
Solving Equations by
2-1 Adding or Subtracting
• To find solutions, isolate the variable.
• A variable is isolated when it appears by
itself on one side of an equation, and not at
all on the other side.
x=3
Holt Algebra 1
Solving Equations by
2-1 Adding or Subtracting
Isolate a variable by using inverse operations
which "undo" operations on the variable.
x+2=5
Holt Algebra 1
Solving Equations by
2-1 Adding or Subtracting
3x = 18
Holt Algebra 1
Solving Equations by
2-1 Adding or Subtracting
x/2 = 10
Holt Algebra 1
Solving Equations by
2-1 Adding or Subtracting
REMEMBER!
½x=5
Dividing by a number is the same as
multiplying by its reciprocal.
Holt Algebra 1
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