Examples Example 1 is an equation with solution set {4}. Check: ✔ True 2142 1 9 Example 2 8 1 9 9 9 The solution set is {17}. x 5 12 x 5 5 12 5 x 17 Example 3 z 1.44 2.33 z 1.44 1.44 2.33 1.44 The solution set is {0.89}. Example 4 The solution set is {16}. x 16 Example 5 16 8y 16 8 2 y The solution set is {2}. 8y 8 4 3 # 3 4 x 12 # 4 3 3 4 x 12 z 0.89 2x 1 9 Key Concepts An equation is an algebraic statement that indicates two expressions are equal.A solution to an equation is a value of the variable that makes the equation a true statement.The set of all solutions to an equation is the solution set of the equation. A linear equation in one variable can be written in the form ax b c, where a 0 . Addition Property of Equality: If a b, then a c b c Subtraction Property of Equality: If a b, then a c b c Multiplication Property of Equality: If then a b, ac bc 1c 02 Division Property of Equality: If then a c b c a b, 1c 02 Addition, Subtraction, Multiplication, and Division Properties of Equality Section 2.1 Summary 181 4. At the time that professional bodybuilder, Jay Cutler, won the Mr. Olympia contest he was 260 lb and stood 510 tall. a. What was Jay Cutler’s body mass index? b. As a bodybuilder, Jay Cutler has an extraordinarily small percentage of body fat.Yet, according to the chart, would he be considered overweight or obese? Why do you think that the formula is not an accurate measurement of Mr. Cutler’s weight status? Chapter 2 Summary
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