Equations: a statement that states two expressions are equal Variable: a symbol that represents many different numbers in a set of numbers (an unknown) Literal equation: an equation that contains two or more variables.
A. Write an algebraic expression to represent each verbal expression. 1. 3 more than a number 2. six times the cube of a number 3. the square of a number decreased by the product of 5 and the number 4. twice the difference of a number and 6
B. Write a verbal sentence to represent each equation. 1. 14 + 9 = 23 2. 7y – 2 = 19 3.
C. Properties of Equality/Property of Inequalities: Whatever you do to one side of an equation, you MUST do to the other side.
Steps for solving equation/inequality: 1.Simplifying either side of an equation. 2.Add/subtract each side of an equation. 3.Multiply/divide each side of an equation. 4.Check your solution/ Graph answer for inequality.
Inequalities: Graphing Less than open circle Less than or equal to ≤closed circle Greater than or equal to ≥closed circle Not equal to ≠ open circle on the number