Lesson 7 Equation (equality): -a statement that two expressions are equal What is the #1 rule of algebra when solving equations? Be aware of when you are working with equations and when you are working with expressions; equations are solved, while expressions are only simplified. Solving an equation/inequality: -determining all values that result in a true statement -the values that make an equation or an inequality true are called solutions Solving linear equations/inequalities: -isolate the variable using the addition and multiplication principles Example 1:Solve the equationsa.( ) ( ) b.
Example 2:For what value of is the number a solution of the equation?
Solving Rational Equations: 1.factor all denominators 2.exclude any values that make the denominators zero 3.multiply both sides of the equation by the LCD