Algebra, Equations and Inequalities
This topic covers linear equations, inequalities, systems, expressions, factoring, quadratic relationships, functions, substitution, and equivalent transformations.
How to study for the GMAT
Build every answer around the exact decision: problem setup, argument gap, passage support, data source, sufficiency, table filter, graph label, or linked two-part condition.
Core concepts
Concept 1
Algebra, Equations and Inequalities questions test the reasoning and decision skills used on the current GMAT exam.
Exam cue: Name the task type: problem solving, reading comprehension, critical reasoning, data sufficiency, multi-source reasoning, table analysis, graphics interpretation, or two-part analysis.
Concept 2
The strongest answer identifies the business-relevant task, data source, argument relationship, arithmetic setup, or decision criterion before comparing choices.
Exam cue: Check constraints, units, variables, claim structure, source tabs, table filters, graph axes, and whether the answer is enough to make the decision.
Concept 3
Eliminate choices that answer a different question, overlook a condition, misuse a source, ignore sufficiency, or rely on specialized outside knowledge.
Exam cue: Use review and edit time to verify the exact question, not just the topic that first looked familiar.
Risk pitfalls and guardrails
Solving a nearby math or reading task while missing the decision the item actually asks for.
Guardrail: Use a 15-second safety pause before finalizing your action.
Using outside business knowledge instead of the evidence, data, or argument in the prompt.
Guardrail: Use a 15-second safety pause before finalizing your action.
Ignoring GMAT-specific constraints such as no calculator in Quant and sufficiency rather than calculation in Data Insights.
Guardrail: Use a 15-second safety pause before finalizing your action.
Memory anchors
Linear Equation
A linear equation represents a constant relationship between variables.
Inequality
Inequalities require direction checks, especially when multiplying by a negative.
System
A system solution satisfies all equations at once.
Expression
An expression can be simplified or transformed without changing value.
Factoring
Factoring rewrites an expression as a product.
Quadratic
A quadratic relationship includes a squared variable.
Function
A function assigns one output to each input.
Substitution
Substitution replaces a variable with an equivalent value or expression.
Equivalent Form
Equivalent forms preserve value for all allowed inputs.
Constraint
A constraint limits the values or relationships that can be used.
Checkpoint rule
Do the check-up only after you can summarize each concept in one sentence and identify one dangerous pitfall from memory.
Knowledge Check (after reading)
Short check-up to confirm understanding of this module.
Check-up Questions
If 5x − 7 = 3x + 11, what is x?
If x + y = 11 and 2x − y = 7, what is y?
Answer all questions to submit.
Next step personalized recommendations
Continue learning
Move forward only after this module is stable.
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