The document discusses equations and solving equations. It defines an equation as a statement of equality between two or more quantities that always includes an equal sign. Equations can be true, false, or open. To solve an equation means to find the value of the variable that makes the statement true. The document provides examples of different types of equations and introduces the cover-up method for solving equations.

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 Equations are statements of equality between two or more quantities. Equations always have equal signs (=) Like all statements equations can be true, false, or open. Examples of true equations 3 = 2 + 1 = 4 = 8 ÷2 π – π = 0

3. Equations – Open statements Open equations are equations which are neither true nor false. They usually require more information. Examples of open statements: This dog is big. That woman is her mother. The book is closed. Examples of open equations: y – 3 = 0 r ÷ 4 = 9 c + 2 = 7.3

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