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# Chapter 4 7th Grade

### Algebraic Equations

algebraic expression is a mathematical phrase that uses variables, numbers and operation symbols.
variable is a letter that stands for a number
Equation is a mathematical sentence with an equal sign.
Open sentence is an equation with one or more variables.
Solution is any value or values that make an equation or inequality true.
Addition Property of Equality states that if the same value is added to each side of the equation,the results are equal.
Inverse Operation are operations that undo each other.
Subtraction Property of Equality states that if the same value is subtracted to each side of the equation, the results are equal.
Division Property of Equality states that if both sides of the equation are divided by the same nonzero number,the sides remain equal.
Multiplication Property of Equality states that if each side of an equation is multiplied by the same nonzero number, the sides remain equal.
Inequality is a mathematical statement that contains one of the following signs <,> =.
Addition Property of Inequality states that if you add the same value to each side of the inequality, the relationship between the two sides does not change.
Subtraction Property of Inequality when you subtract the same value to each side of the inequality,the relationship between the two inequality does not change.
Division Property of Inequality states that if you divide both sides of the inequality by a positive number then the inequality does not change, but if you divide by a negative number then you must reverse the sigh.
algebraic expression is a mathematical phrase that uses variables, numbers and operation symbols.
variable is a letter that stands for a number
Equation is a mathematical sentence with an equal sign.
Open sentence is an equation with one or more variables.
Solution is any value or values that make an equation or inequality true.
Addition Property of Equality states that if the same value is added to each side of the equation,the results are equal.
Inverse Operation are operations that undo each other.
Subtraction Property of Equality states that if the same value is subtracted to each side of the equation, the results are equal.
Division Property of Equality states that if both sides of the equation are divided by the same nonzero number,the sides remain equal.
Multiplication Property of Equality states that if each side of an equation is multiplied by the same nonzero number, the sides remain equal.
Inequality is a mathematical statement that contains one of the following signs <,> =.
Addition Property of Inequality states that if you add the same value to each side of the inequality, the relationship between the two sides does not change.
Subtraction Property of Inequality when you subtract the same value to each side of the inequality,the relationship between the two inequality does not change.
Division Property of Inequality states that if you divide both sides of the inequality by a positive number then the inequality does not change, but if you divide by a negative number then you must reverse the sigh.
Multiplication Property of Inequality states that if you multiple both sides of the inequality by a positive number then the inequality does not change, but if you if you multiple by a negative number then you must reverse the sighs.
Created by: rhondacarlton