Math Equations and Inequalities

The measures of two angles are (5x + 24)° and (9x - 17)°. What is the value of x if these angles are congruent?

Mathematical Equivalence

ON

What is an inequality?

• treating two numbers the same

• the relation between two expressions that are not equal

• an inverse operation

What is the definition of one solution?

• no matter what constant is substituted in for the variable, the equation is ALWAYS true

• only this ONE solution will make the equation true

• no matter what constant is substituted in for the variable, the equation will NEVER be true

Combine like terms:

• similar solutions to different problems

• a process used to simplify an expression - terms that have the same variable part are combined using addition or subtraction

• multiplying the simplest form of an equation to find the distributive property of a solution

What is an equation?

• the steps to solving a mathematical problem

• a mathematical statement containing an equals sign,

  to show that two expressions are equal

• a fixed quantity that does not vary

What is a linear equation?

• an equation for a curved line

• an equation that makes a straight line when it is graphed

• the process of equating numbers

System of Linear Equations

• One Solution

• No Solution

• Infiniely Many Solutions

System of Linear Equations

• One Solution

• No Solution

• Infiniely Many Solutions

System of Linear Equations

• One Solution

• No Solution

• Infiniely Many Solutions