Review Complete work on a piece of paper and turn in. 7.3 Solving Equations with Distributive Property HOW DO YOU USE THE DISTRIBUTIVE PROPERTY TO SOLVE EQUATIONS? Distributing Rules Distributing is the same as multiplying the term outside the parenthesis (and its sign) with everything inside the parenthesis. Steps: 1.) Distribute 2.) Combine Like Terms on same side ( JUST ADD THEM ) 3.) Apply inverse operations to isolate and solve for the variable Goal: Use the distributive property to solve given equations and determine the amount of solutions. Agenda : 1. Bell work(Review) Notes/Review 3. Examples 4. CW pg CW pg HW 7.3 and 7.4 HRW 7. Test on 1/13 or 1/14 Example 1 3(x 5) + 1 = 2 + x 3x = 2 + x 3x -14 = 2 + x 2x 14 = 2 2x = 16 X = 8 Example 2 5 7k = -4(k + 1 ) 3 Example 3 (x 13) = -2(9 + x) Example 4 -4(-5 b) = 1/3 (b + 16) Example 5 (x 13) = -2(9 + x) Example 6 Word Problem The Coleman family had their bill at a restaurant reduced by $7.5 because of a special discount. They left a tip of $8.90, which was 20% of the reduced amount. How much was their bill? What is the question asking to find? Equation - 0.2(x - 7.5) = 8.9 Solve - 7.4 Equations with Many Solutions or No Solution HOW CAN YOU GIVE EXAMPLES OF EQUATIONS WITH A GIVEN NUMBER OF SOLUTIONS? Solve the equation Decide whether you have 0, 1, many solutions ResultWhat does it mean? # of Solutions x= aThere is an answer for x 1 a=aAnswer equals your answer Infinitely Many Different answers0 Example 1 4x 3 = 2x x = 2x x = 16 X = 8 => 1 solution Example 2 4x 5 = 2(2x-1) 3 4x 5 = 4x 2 3 4x 5 = 4x 5 (Same) Infinitely Many Example 3