Solving two step equations and inequalities

Front

What is a two-step equation?

Back

Front

How do you isolate a variable in a two-step equation?

Back

To isolate a variable, perform the inverse operations in reverse order. First, eliminate the constant term, then divide or multiply to solve for the variable.

Front

What does the inequality symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. It indicates that the value on the left can be either less than or equal to the value on the right.

Front

Translate the phrase: 'You can spend no more than $50.'

Back

Front

Back

Subtract 3 from both sides to isolate the term with the variable.

Front

What does the inequality symbol '>' mean?

Back

The symbol '>' means 'greater than'. It indicates that the value on the left is strictly greater than the value on the right.

Front

Back

Front

Back

Add 4 to both sides, then divide by 3 to solve for x.

Front

What does it mean to 'translate' a word problem into an inequality?

Back

Translating a word problem into an inequality involves converting the words into mathematical symbols that represent the relationships described.

Front

How do you check your solution for an inequality?

Back

To check your solution, substitute the value back into the original inequality to see if it holds true.