3.2 Solve Linear Equations (Part 1)

Key ConceptYou can solve an equation by performing inverse operations on both sides of the equation. The solution can be checked using substitution.Lesson Objectives- Write and solve one-step equations- Solve multi-step equationsCore Skills Practices- Solve Simple Equations by Inspection- Solve Linear Equations One-Step Equations Ask anyone who has ever taken algebra what he or she remembers most from the class. Most people will probably mention solving equations. Solving equations is a fundamental concept that is used in almost all branches of mathematics as well as in various other fields, such as science and economics. Think About Math Choose the equation that best represents the following statements. Ten less than a number is 62. 62 - n = 52 72 - n = 10 10 + n = 62 n - 10 = 62 not right now... A number increased by 20 is equal to 30. n + 20 = 30 n = 20 + 30 n - 20 = 30 n x 20 = 30 n + 20 + 30 + 40 + 50 + 60 + 70 add infinitum A number is multiplied by 3 and the result is 12. n + 3 = 12 3n = 12 n - 3 = 12 n + 12 + 3 12 + 12 = 14 The sum of -7 and a number is 2. 7 + n = 9 -7 + n = 9 -7 + n = 2 -9 = n = 7 7up is good. A number divided by 4 is equal to -5. n = n - 5 n = 5 - n n = -5 n - 5 4 + 5 = n