Module · Algebra
Chapter 12: Linear Equations
Algebra
4 topics
🎯 1 practice questions
What this chapter covers
The 4 topics below make up Linear Equations on the GRE. Click any topic to open its notes, examples and practice test.
Study material & tests
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Notes, worked examples and hint-guided practice for every topic.
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🎯 Topic tests
8 auto-graded questions per topic, pulled from the question bank.
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📝 Chapter test
25 fresh mixed-difficulty questions, timed, with full solutions.
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Formula Reference Sheet
This chapter
The balance rules
| Add / subtract | a = b ⇒ a ± c = b ± c |
|---|---|
| Multiply / divide (c ≠ 0) | a = b ⇒ a·c = b·c and a/c = b/c |
| Standard form | ax + b = 0 ⇒ x = −b / a |
| Clear fractions | multiply every term by the LCD |
Literal (formula) rearranging
| Solve ax + b = c for x | x = (c − b) / a |
|---|---|
| Solve for a variable in a product | divide both sides by its coefficient |
| Cross-multiply a/b = c/d | ad = bc |
GRE reference
🖩 Graphing Calculator