1.1 Solving Equations

An equation is a __ mathematical sentence that uses the equal sign = to show two expressions are equivalent__. The expressions

__can be numbers, variables, constants, or combinations thereof__. There are many ways to solve an equation. One way is by using a method called guess-and-check. A guess-and-check method involves

__. If the__

**guessing a value for the variable in an equation and checking to see if it is the solution by substituting the value in the equation**__. If the equation is__

**resulting equation is a true statement, then the value you guessed is the solution of the equation**__. Another way to solve an equation is by working backward. In this method,__

**not a true statement, then you adjust the value of your guess and try again, continuing until you find the solution**__.__

**you begin at the end and work backward toward the beginning**A solution of an equation is __ a value for the variable that makes the equation true__. To determine the solution of an equation, you will use the

__.__

**Properties of Equality****In this image, you will see how different mathematical operations are used to undo or evaluate each other. (WHY? you will want to solve for a variable by getting it by itself)**

# 1.1 Solving Equations

An equation is a __ mathematical sentence that uses the equal sign = to show two expressions are equivalent__. The expressions

__can be numbers, variables, constants, or combinations thereof__. There are many ways to solve an equation. One way is by using a method called guess-and-check. A guess-and-check method involves

__. If the__

**guessing a value for the variable in an equation and checking to see if it is the solution by substituting the value in the equation**__. If the equation is__

**resulting equation is a true statement, then the value you guessed is the solution of the equation**__. Another way to solve an equation is by working backward. In this method,__

**not a true statement, then you adjust the value of your guess and try again, continuing until you find the solution**__.__

**you begin at the end and work backward toward the beginning**A solution of an equation is __ a value for the variable that makes the equation true__. To determine the solution of an equation, you will use the

__.__

**Properties of Equality****In this image, you will see how different mathematical operations are used to undo or evaluate each other. (WHY? you will want to solve for a variable by getting it by itself)**