1. Equations with Numbers and Unknowns on Both Sides Slideshow 21, Mathematics Mr Richard Sasaki Room 307

2. Objectives Review algebraic vocabulary from last lessonReview algebraic vocabulary from last lesson Solve by forming the unknown on one side of the equation and a value on the other sideSolve by forming the unknown on one side of the equation and a value on the other side Recall how to expand brackets and use this to solve such equationsRecall how to expand brackets and use this to solve such equations Consider numbers of solutionsConsider numbers of solutions

3. Vocabulary Review Do you remember this from last time? Terms Operator Constant Please try to get familiar with this! The expression above is linear. This means all terms have unknowns to the power 0 or 1.

4. Unknowns on Both Sides Let’s review solving for unknowns on both sides from last lesson. Example We try to get the unknown amount on one side and the constant number on the other side, even if we end up with negative numbers.

5. Numbers and Unknowns on Both Sides The principle for equations with numbers and unknowns on both sides is the same. We separate the equation so numbers are on one side and algebraic terms are on the other side. Example We have 4 options of subtraction, 2 of which are more sensible. What are the two best things we could choose to do? It is best to either or. Why?

6. Numbers and Unknowns on Both Sides Example Any order is okay!

7. Answers - Easy

8. Answers - Hard

9. Expanding Brackets Let’s review how to expand brackets. For linear style brackets, we multiply the term on the outside with the terms on the inside. We will use this concept to solve equations. Example

10. Expanding Brackets Let’s try a harder question.

11. Answers

12. Number of Solutions Infinite solutions Example

13. Answers