GRE Quant · Chapter Test
Algebraic Expressions — 25-Question Test
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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
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