Solving Problems Using Equations and Inequalities

Match the sentence to the correct inequality.

Twice the difference of a number and 10 is less than 30

• 2 x + 10 = 30

• 2 ( x-10) < 30

• 2x - 10 < 30

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

What is a solution?

• the answer or process to solving an answer to a problem and/or equation

• y=mx+b

• placing something in numerical order

What is an inequality?

• treating two numbers the same

• the relation between two expressions that are not equal

• an inverse operation

Inequality symbols:

• show if one value is equal to another

• show if one value is less than, greater than, or not equal to another value

• are not valid unless two values are equal

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

A.5(B) solve linear inequalities in

one variable, including

those for which

the application

of the distributive property

is necessary and

for which variables are included on

both sides

What category do I belong to?

• Category #1

• Category #2

• Category #3

• Category #4

• Category #5