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Leave 1 page blank to create your table of contents. Prior Knowledge 1 Leave 1 page blank to create your table of contents. We often are faced with problems where we need to work out the value of an unknown quantity. Write the following questions as equations and solve. When 6 is added to a number, the result is 8. What is the number? When 3 is subtracted from a number, the result is 11. What is the number? When a number is multiplied by 4, the result is 28. What is the number? When a number is divided by 5, the result is 3. What is the number? WWK: Solution – the value of the variable that makes the equation true Identity – an equation which is always true no matter what value the variable is

Prior Knowledge 2 Directions: Use your prior knowledge of the new chapter to fill in true or false below. ____ 1. An equation is linear if the variable is raised only to the power of 1. ____ 2. We can only solve equations by guessing and checking our answers. ____ 3. The left hand side of the equation doesn’t need to equal the right hand side. ____ 4. Multiplication and division are not inverse operations. ____ 5. We can solve equations with repeated unknown variables.

Chapter 8: Equations Title Page Number Essential Question How do you solve equations with one or more solutions? Title Page Number

I can: Chapter 8: Equations Determine if an equation has no solutions. Determine if an equation has one, two, or three solutions. Determine if an equation is an identity.

8A – Solutions of an Equation A solution of an equation is a value of the variable which makes the equation true. Example 1: 4x – 1 = 11 What is the value(s) of x that makes this equation true? Example 2: 2y + 3 = 7 What is the value(s) of y that makes this equation true?

8A – Solutions of an Equation Example 3: z + 1 = z What is the value(s) of z that makes this equation true? Example 4: a2 = a What is the value(s) of a that makes this equation true?

8A – Solutions of an Equation Example 5: x3 = 4x What is the value(s) of x that makes this equation true? Example 6: 3y – y = 2y What is the value(s) of y that makes this equation true? What is this called? Identity!

Independent Practice Exercise 8A (p151 - #1-3; write the question and show your guess & check work) Distributive Property review INB Due Dates – 7-1 (Jan. 22), 7-2 (Jan. 31), 7-3 (Jan. 24), 7-4 (Jan. 23), 7-5 (Jan. 29) If not in at the end of class, zero or late form needed! If no rubric in your notebook, zero or late form needed!

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