1.3 Solving Equations 1.5 Solving Inequalities

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Presentation transcript:

1.3 Solving Equations 1.5 Solving Inequalities Algebra II w/ trig

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: Simplifying either side of an equation. Add/subtract each side of an equation. Multiply/divide each side of an equation. Check your solution/ Graph answer for inequality.

Inequalities: Graphing Less than < open circle Greater 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

D. Solve 1. 2.

3. 4.

, solve for h

E. Solve and Graph 1. y 2.

3.