Module · Algebra
Chapter 11: Algebraic Expressions
Algebra
4 topics
What this chapter covers
The 4 topics below make up Algebraic Expressions on the GRE. Click any topic to open its notes, examples and practice test.
1Simplifying Expressions
2Expanding & the FOIL Method
3Common Factoring Patterns
4Algebraic Fractions
Study material & tests
📚 Study this chapter
Notes, worked examples and hint-guided practice for every topic.
Start learning →
🎯 Topic tests
8 auto-graded questions per topic, pulled from the question bank.
Practice by topic →
📝 Chapter test
25 fresh mixed-difficulty questions, timed, with full solutions.
Take chapter test →
Formula Reference Sheet
This chapter
Expansion identities
| Distributive law | a(b + c) = ab + ac |
|---|---|
| FOIL | (a + b)(c + d) = ac + ad + bc + bd |
| Square of a sum | (a + b)² = a² + 2ab + b² |
| Square of a difference | (a − b)² = a² − 2ab + b² |
| Difference of squares | (a + b)(a − b) = a² − b² |
Factoring & fractions
| Common factor | ab + ac = a(b + c) |
|---|---|
| Trinomial x² + (p+q)x + pq | = (x + p)(x + q) |
| Multiply fractions | (a/b)·(c/d) = ac / bd |
| Divide fractions | (a/b) ÷ (c/d) = a d / b c |
| Add fractions | a/b + c/d = (ad + bc) / bd |
GRE reference
🖩 Graphing Calculator