Expressions, Equations and Inequalities

What is an inequality?

• treating two numbers the same

• the relation between two expressions that are not equal

• an inverse operation

What is a solution set?

• a set of values that do not satisfy a given set of equations or inequalities

• the solution to an inequality

• the set of values that satisfy a given set of equations or inequalities

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

"Twenty-four minus three times an integer, x, is less than x minus four."

Write an inequality, in terms of x, to represent this information.

Mathematical Equivalence

OFF

Mathematical Equivalence

ON

Match the following

• equation

• inequality

• expression

Solve

• p ≤ -12

• p ≥ -12

• p ≤ 20

• p ≥ 20

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 inverse operation?

• an equation that solves for the exponent to the third power

• the operation that reverses the effect of another operation

• one part of an expression that simplifies the square root of a solution

What is a coefficient?

• a number used to multiply a variable

• the order of operation for submitting a solution

• the variable of a letter