Lesson 6

Strategic Solving

Let's solve linear equations like a boss.

Problem 1

Solve each of these equations. Explain or show your reasoning.




Problem 2

Solve each equation and check your solution.




Problem 3

Elena said the equation \(9x+15=3x+15\) has no solutions because \(9x\) is greater than \(3x\). Do you agree with Elena? Explain your reasoning.

Problem 4

The table gives some sample data for two quantities, \(x\) and \(y\), that are in a proportional relationship.

  1. Complete the table.
  2. Write an equation that represents the relationship between \(x\) and \(y\) shown in the table.
  3. Graph the relationship. Use a scale for the axes that shows all the points in the table.

\(x\) \(y\)
14 21
Blank coordinate plane.
(From Unit 3, Lesson 3.)