Algebra Word Problem Solver Calculator

Turn story clues into solvable algebra equations fast. Check steps, compare models, graph outcomes, and export polished results easily.

Calculator Inputs

Choose a common algebra story-problem model, enter the known values, then solve and export the working.

Problem Type

Word Problem Statement

This statement is shown in the result summary and export files.

Linear Equation Model: ax + b = c

Coefficient a

Constant b

Right side c

Distance / Relative Speed Model

Object 1 Label

Object 1 Speed

Object 2 Label

Object 2 Speed

Time Gap

Mixture Model

First Source Label

First Concentration %

Second Source Label

Second Concentration %

Target Concentration %

Total Amount

Work Rate Model

Worker 1 Time per Job

Worker 2 Time per Job

Number of Jobs

Consecutive Number Model

How Many Numbers

Total Sum

Gap Between Numbers

Custom Like-Term Equation Model

Coefficients, Comma Separated

Example: 2, -3, 7

Right-Side Total

Variable Name

Example Data Table

Use these sample values to test each problem family before entering your own scenario.

Problem Type	Example Inputs	Expected Interpretation
Linear Equation	a = 2, b = 5, c = 29	Twice a number plus five equals twenty-nine.
Distance / Relative Speed	60, 40, 1.5 hours	The faster object changes the gap by 30 units.
Mixture	Total 20, 30%, 70%, target 50%	Mix equal amounts from both sources.
Work Rate	6 hours, 8 hours, 3 jobs	Find total time using combined work rates.
Consecutive Numbers	4 numbers, sum 34, gap 1	Sequence becomes 7, 8, 9, 10.
Custom Like-Term Equation	2, -3, 7 on left; 18 on right	Combine coefficients, then solve one variable.

Formula Used

Linear model: ax + b = c, so x = (c - b) / a.

Distance model: distance difference = |speed₁ - speed₂| × time.

Mixture model: c₁x + c₂(total - x) = target × total.

Work model: combined rate = 1/t₁ + 1/t₂, then time = work / rate.

Consecutive model: n·x + gap·n(n-1)/2 = total sum.

Custom model: add like-term coefficients, then divide the right side by the total coefficient.

How to Use This Calculator

Choose the problem type that best matches your story problem.
Paste or type the problem statement for reference.
Enter the known quantities in the visible fields.
Press Solve Problem to generate the answer and steps.
Review the equation setup, step list, result table, and graph.
Export the solved summary as CSV or PDF for reports.

FAQs

1) What does this calculator solve?

It solves several common algebra story-problem structures, including linear equations, distance comparisons, mixtures, work-rate tasks, consecutive numbers, and custom like-term equations.

2) Can it read natural language automatically?

It stores your written problem statement for context, but you still choose the model and enter the values. This improves accuracy and keeps the steps transparent.

3) Why are there different problem types?

Algebra word problems use different equation patterns. Selecting the correct model lets the calculator build the right formula and produce meaningful steps.

4) What if I do not know the exact model?

Compare your story with the example table. If it mentions speeds, mixtures, working together, or consecutive values, choose the matching family first.

5) Does the graph show the full mathematical proof?

No. The graph is a visual summary of the main computed quantities. The full reasoning appears in the equation line and step-by-step section.

6) When should I export to CSV?

CSV is useful when you want a compact spreadsheet-friendly summary of the solved values for worksheets, grading logs, or bulk comparisons.

7) When should I export to PDF?

PDF works well for student handouts, homework submissions, printed reports, and sharing a neat summary of the entered problem and answer.

8) Can I extend this calculator later?

Yes. You can add more templates, symbolic simplification, extra validation, richer graphs, or topic-specific word-problem categories using the same structure.