Download CHAPTER 2: Solving Linear Equations and Inequalities Topics:

MATH 0960
Section 2.2 Notes
CHAPTER 2: Solving Linear Equations and Inequalities
Section 2.2: The Addition Property of Equality
Topics:
A. Check solutions to equations.
B. Use the addition property to solve equations.
Preliminary: Identify linear equations.
 A statement of equality between two algebraic expressions is called an equation.
 A linear equation in one variable can be written in the form
where a,
b, and c are real numbers,
and x is any variable.
A. Check solutions to equations.
 What does a problem look like?
Examples:
1) Is
a solution of
?
Answer: Yes.
2) Is
a solution of
Answer: No.
3) Is
a solution of (
?
)
?
Answer: Yes.

What am I supposed to do?
1. Wherever you see the variable, replace it with empty parentheses.
2. Insert the value of the variable into those parentheses.
3. Use arithmetic on each side to see if the two expressions are indeed equal.

What do I need to know?
Solutions to an equation can be substituted in place of the variable or variables
to make the equation a true statement. Linear equations in one variable have one
solution.
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MATH 0960
Section 2.2 Notes
B. Use the addition property to solve equations.
 What does a problem look like?
Examples: Solve.
1)
Answer:
2)

Answer:
What do I need to know?
o The addition property of equality states that the same quantity can be added
to or subtracted from both sides of an equation to create an equivalent
equation.
o We use the addition property of equality to isolate the variable and find the
solution to the equation.
Tip: You can check the solution by substituting the solution back into the equation.
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