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Introduction to Equations - Beginnning Algebra

- 1. AIM: What is an equation and what does it mean to “solve” one ? OBJECTIVE: S.W.B.A.T. identify equations and think about what it means to solve equations Homework: Write two false equations and two true equations. Involve all four basic operations (addition, subtractions, multiplication, division) at least once October 1 , 2007 DO NOW What symbol will you always see in an equation ?
- 2. Our new unit - Equations <ul><li>Equations are statements of equality between two or more quantities. </li></ul><ul><li>Equations always have equal signs (=) </li></ul><ul><li>Like all statements equations can be true, false, or open. </li></ul><ul><li>Examples of true equations </li></ul><ul><li>3 = 2 + 1 </li></ul><ul><li>= </li></ul><ul><li>4 = 8 ÷2 </li></ul><ul><li>π – π = 0 </li></ul>
- 3. Equations – Open statements Open equations are equations which are neither true nor false. They usually require more information. <ul><li>Examples of open statements: </li></ul><ul><li>This dog is big. </li></ul><ul><li>That woman is her mother. </li></ul><ul><li>The book is closed. </li></ul><ul><li>Examples of open equations: </li></ul><ul><li>y – 3 = 0 </li></ul><ul><li>r ÷ 4 = 9 </li></ul><ul><li>c + 2 = 7.3 </li></ul>
- 4. Equations – Solving When we are directed to solve an equation we want to find the value of the variable which will make the equation true! To solve x – 6 = 10 we look for a number which we could substitute for x which would give us 10 on the right side of the equal sign! 16
- 5. Equations – Cover up method 1)Solve 26 = 8 + v 26 = 8 + v Guess and check until you find what is missing! v = 18
- 6. Equations – Cover up method 7)Solve m − 9 = −13 m − 9 = −13 Guess and check until you find what is missing! m = -4

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