Two-step equations with decimals and fractions

The  exercise appears under the 7th grade (U.S.) Math Mission. This exercise practices solving equations requiring more than one step and using decimals and fractions.

Types of Problems
There is one type of problem in this exercise:


 * 1) Solve the equation: This problem provides a two-step equation that may use either decimals, fractions, or both. The student is asked to find the correct answer and write it in the space below the problem.Tsewdaf1.png

Strategies
Knowledge of the properties of equality and comfort with decimals and fractions are encouraged to ensure success on this exercise.
 * 1) One general process that can be followed with linear equations is to distribute, collect like terms, add/subtract variables to the left and numbers to the right, then divide by an appropriate constant.
 * 2) One can also divide before distributing in problems with parentheses.

Real-life Applications

 * 1) Equations are ubiquitous in all fields of mathematics as well as having a myriad of applications in almost all academic fields.