1. Unit 3 Solving Equations

2. Learning Goals I can solve simple one and two step equations Unit 3: Solving Equations Solving Polynomial Equations (1)

3. Unit 3: Solving Equations Relationships can be described by equations You can create a table of values to determine a pair of values that satisfies the equation. A pair of values that satisfies the equation is called a solution to the equation. A complete graph of the equation would show all possible solution pairs for the equation. How do you find the solution to an equation? Solving Polynomial Equations (1)

4. Success Criteria: 1.Isolate the variable on one side of the equation by adding, subtracting, multiplying, or dividing (get the variable by itself). Do the opposite: if 3 is being added to “x” subtract 3 to get “x” by itself. Remember SAMDEB. 2.Every step that is performed to isolate the variable on one side of the equation MUST be performed on the other side of the equation to maintain equality. 3.Perform a “check” by substituting the values you found for the solution into the equation and ensuring that the left side equals the right side. Unit 3: Solving Equations Solving Polynomial Equations (1)

5. Solve: y + 7 = 16 Unit 3: Solving Equations Solving Polynomial Equations (1) Success Criteria 1.Isolate the variable on one side of the equation by adding, subtracting, multiplying, or dividing (get the variable by itself). Do the opposite: if 3 is being added to “x” subtract 3 to get “x” by itself. Remember SAMDEB. 2.Every step that is performed on one side of the equation MUST be performed on the other side of the equation to maintain equality. 3.Perform a “check” by substituting the values you found for the solution into the equation and ensuring that the left side equals the right side. Left SideRight Side CHECK

6. Solve: 14 = p - 2 Unit 3: Solving Equations Solving Polynomial Equations (1) Left SideRight Side CHECK Success Criteria 1.Isolate the variable on one side of the equation by adding, subtracting, multiplying, or dividing (get the variable by itself). Do the opposite: if 3 is being added to “x” subtract 3 to get “x” by itself. Remember SAMDEB. 2.Every step that is performed on one side of the equation MUST be performed on the other side of the equation to maintain equality. 3.Perform a “check” by substituting the values you found for the solution into the equation and ensuring that the left side equals the right side.

7. Solve: 56 = 8m Unit 3: Solving Equations Solving Polynomial Equations (1) Left SideRight Side CHECK Success Criteria 1.Isolate the variable on one side of the equation by adding, subtracting, multiplying, or dividing (get the variable by itself). Do the opposite: if 3 is being added to “x” subtract 3 to get “x” by itself. Remember SAMDEB. 2.Every step that is performed on one side of the equation MUST be performed on the other side of the equation to maintain equality. 3.Perform a “check” by substituting the values you found for the solution into the equation and ensuring that the left side equals the right side.

8. Solve: 10c – 7 = 53 Unit 3: Solving Equations Solving Polynomial Equations (1) Left SideRight Side CHECK Success Criteria 1.Isolate the variable on one side of the equation by adding, subtracting, multiplying, or dividing (get the variable by itself). Do the opposite: if 3 is being added to “x” subtract 3 to get “x” by itself. Remember SAMDEB. 2.Every step that is performed on one side of the equation MUST be performed on the other side of the equation to maintain equality. 3.Perform a “check” by substituting the values you found for the solution into the equation and ensuring that the left side equals the right side.

9. Unit 3: Solving Equations Solving Polynomial Equations (1) Left SideRight Side CHECK Success Criteria 1.Isolate the variable on one side of the equation by adding, subtracting, multiplying, or dividing (get the variable by itself). Do the opposite: if 3 is being added to “x” subtract 3 to get “x” by itself. Remember SAMDEB. 2.Every step that is performed on one side of the equation MUST be performed on the other side of the equation to maintain equality. 3.Perform a “check” by substituting the values you found for the solution into the equation and ensuring that the left side equals the right side.

10. Unit 3: Solving Equations Solving Polynomial Equations (1) Left SideRight Side CHECK Success Criteria 1.Isolate the variable on one side of the equation by adding, subtracting, multiplying, or dividing (get the variable by itself). Do the opposite: if 3 is being added to “x” subtract 3 to get “x” by itself. Remember SAMDEB. 2.Every step that is performed on one side of the equation MUST be performed on the other side of the equation to maintain equality. 3.Perform a “check” by substituting the values you found for the solution into the equation and ensuring that the left side equals the right side.

11. Solve: 4x + 6 = 3x Unit 3: Solving Equations Solving Polynomial Equations (1) Left SideRight Side CHECK Success Criteria 1.Isolate the variable on one side of the equation by adding, subtracting, multiplying, or dividing (get the variable by itself). Do the opposite: if 3 is being added to “x” subtract 3 to get “x” by itself. Remember SAMDEB. 2.Every step that is performed on one side of the equation MUST be performed on the other side of the equation to maintain equality. 3.Perform a “check” by substituting the values you found for the solution into the equation and ensuring that the left side equals the right side.

12. Mary works part time at a local coffee shop where she earns $9 per hour. She also babysits children in her neighbourhood and she charges $6 per hour. Mary is saving up to buy a new computer which will cost her $783. In order to earn the money for the computer, what combination of hours could Mary work at each job? Find 3 different combinations. Unit 3: Solving Equations Solving Polynomial Equations (1)

13. Graph the relationship that represents the number of hours Mary would have to work at each job in order to make $783. Unit 3: Solving Equations Solving Polynomial Equations (1) y x

14. What are the intercepts? What do they represent? Unit 3: Solving Equations Solving Polynomial Equations (1)

15. Practice Read Page 292 Example #1 and #2 Do Page 294 Q# 1 through 6 parts “g” and “j” Page 296 Q# 14 gjm, 15 adgj, 18beh, 19bdf * Do proper “CHECKS” for questions 1gj, 5gj, 15g, 18b, 19b * Unit 3: Solving Equations Solving Polynomial Equations (1)