Problem preview
MF.EQ.7 Standard MF-034-A10-V01

Solve multi-step linear equations, including equations requiring simplification first.

Write and solve a multi-step equation from a representation

Problem

A level hanger has \(2~\text{separately}~\text{grouped}~\text{sets}\) on the left, each containing \(\text{one}~x\text{-}\text{tile}\) and \(\text{one}~\text{unit}~\text{weight}\), balanced by \(14~\text{unit}~\text{weights}\) on the right. Write the represented grouped equation and solve for \(x\).

Big Picture

What this problem is really about

Each dashed outline marks one complete group containing an x-tile and one unit tile. Because the hanger shows two identical groups, the entire grouped quantity repeats twice and balances fourteen units. Split the total equally between the groups, then remove the known unit from one group to isolate x.

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.

Discover Gozunta Try it now
Four variants of this problem type
Curriculum context
Standard
MF.EQ.7
Category
Pre-Algebra
Domain
Equations
Objective
Solve multi-step linear equations, including equations requiring simplification first.
Problem type
Write and solve a multi-step equation from a representation