In this unit, you solved two-step equations. A two-step equation is an equation of the form px + q = r. It takes two steps to solve for the variable x. For example, 3x + (-5) = 19
is a two-step equation. How could you transform this particular equation to create a three-
step equation? List several ways you could transform it using common math operations.
Next, try solving one of the three-step equations you created for x. (Use a guess and
check strategy, if necessary.) What additional step was required to find the solution? In
your opinion, is solving a three-step equation more difficult than solving a two-step
equation? Why or why not? Do you think there is a limit to the number of steps it takes to
solve an equation? Explain.

How could you transform this particular equation to create a three-step equation? List several ways you could transform it using common math operations.

We could divide 3x + (-5) by a nonzero number x, so that the first step to solve the equation would be to multiply both sides by x, then continue as with the two-step equation. Here x could be many different values.

Next, try solving one of the three-step equations you created for x. (Use a guess and check strategy, if necessary.) What additional step was required to find the solution?

We can solve the equation (3x + (-5))/5 = 19. To solve it, we first multiply both sides by 5 to get 3x + (-5) = 95. Then add 5 to both sides to get 3x = 100. Finally divide by 3 to find x = 100/3.

The additional step was multiplying by 5 (the denominator) to get rid of the fraction.

Do you think there is a limit to the number of steps it takes to solve an equation? Explain.

There should be a limit to the number of steps required, since there are only these operations that an equation could contain: exponentiation, addition, subtraction, multiplication, and division.

I'm not sure about the last question, but i hope this helps! :D