**Solving
an equation**

Solve the equation 6x + 2 = 16 in as many ways as you can.

**Approaches**

What's a solution?

response: remind of earlier definition: a number you substitute for x to get a true statement. For example, is 2 a solution?

Guess and check.

There's no solution.

response: Why not? Are there numbers besides integers?

Undoing; if x was multipled by 6 and then 2 was added to get 16, to get back to x you subtract 2 and divide by 6.

Arrow diagrams

Balancing the equation

Graphing y = 6x + 2 on calculator, tracing to see where y-value is 16 or looking at table.

Graphing y = 6x + 2 and y = 16 on calculator, tracing to find intersection point.

**Your
experience**

Have you used this problem with a class and seen approaches other than(or more specific than) those mentioned above? Or do you have other comments or criticisms or stories? If so, please tell us!

*Last updated 30 November, 2004*