Create and solve one-variable equations and inequalities, including absolute-value, linear, quadratic, simple rational, and exponential cases.
Choose the equation type that matches a context
Problem
A savings balance starts at \(100~\text{dollars}\) and increases by \(50~\text{dollars}\) each month. To find when it reaches \(400~\text{dollars}\), set the starting balance plus monthly additions equal to the target. Classify the model by family and form, reporting the family code followed by the form code. Family codes: \(1~=~\text{linear}\), \(2~=~\text{absolute}\text{-}\text{value}\), \(3~=~\text{quadratic}\), \(4~=~\text{rational}\), \(5~=~\text{exponential}\). Form codes: \(1~=~\text{equation}\), \(2~=~\text{inequality}\).
Big Picture
What this problem is really about
The family comes from how the balance changes, while the form comes from how that balance is compared with the target. We’ll distinguish repeated addition from repeated multiplication, then decide whether reaching one exact target calls for equality or a range comparison before translating those two classifications into the requested codes.
Inside Gozunta
Turn the preview into practice.
More than a preview
Gozunta lets you study this problem—and more than 10,000 others.
Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.
