Algebraic equations can be used to interpret situations and find answers to questions in a wide range of contexts. The key to solving these problems is in constructing the algebraic expressions needed to represent the important details.
Adam sells chocolates to raise money for charity. Each chocolate costs \$6.
If Adam sells q chocolates, write an algebraic expression for the amount of money he raises.
Which statement is correct?
Judy has 72 pencils, which she shares evenly among the students in her class.
If there are q students in her class, write an algebraic expression for the number of pencils given to each student.
Which statement is correct?
The key to solving contextual problems is in constructing the algebraic expressions needed to represent the important details. Then we can use substitution to answer the question.