GRE · Quantitative: Algebra · United Kingdom

Quantitative: Algebra for the GRE Exam — UK candidates

8% of the GRE test plan. GRE Algebra covers linear equations, systems of equations, inequalities, absolute value, and quadratic functions with an emphasis on reasoning over calculation. Calibrated for British candidates.

For candidates aiming to clear this exam on the first attempt, the difference between Band 6 and Band 7+ — or "passing" and "comfortable margin" — usually comes down to fluency on a small number of high-leverage topics. Quantitative: Algebra sits at roughly 8% of the Graduate Record Examinations content distribution — Algebra is tested across all GRE Quantitative question types: problem solving, Quantitative Comparison, and data interpretation. Key sub-areas include setting up and solving linear equations from word problems, working with inequalities (especially when multiplying or dividing by a negative), simplifying algebraic expressions, solving quadratics by factoring, and evaluating functions. GRE algebra questions are typically not computationally difficult — they test careful setup and awareness of edge cases like negative multipliers and undefined expressions. Pass rates for the GRE are published annually by the awarding body and vary by cohort and locale. For UK candidates preparing for GRE, the calibration of study to local context matters: UK candidates often take exams for both domestic licensure (NMC, GMC) and migration purposes. IELTS UKVI is a separate, higher-stakes track.

Pass rates for GRE (United Kingdom) are published periodically by the awarding body.

Common failure modes

These are the patterns that cause most candidates to lose marks on this topic. Recognising them in advance is half the work.

!Flipping the inequality sign when multiplying or dividing by a negative — a consistent GRE trap in Quantitative Comparison items
!Incorrectly FOIL-ing or factoring quadratics — especially (a − b)² ≠ a² − b²
!Ignoring domain restrictions: dividing by a variable without checking that the variable ≠ 0
!Setting up a word problem incorrectly — spending algebra time on the wrong equation

Study tips

1Always flip the inequality sign when multiplying or dividing both sides by a negative number. Practice this deliberately on 10 inequality problems in a row to build automaticity.
2Memorize the three special factoring patterns: (a+b)² = a²+2ab+b², (a−b)² = a²−2ab+b², (a+b)(a−b) = a²−b². These save time and prevent common errors.
3On word problems, translate to algebra systematically: assign variables to the unknown quantities, write an equation based on the relationship described, then solve.
4For Quantitative Comparison items involving variables, test edge cases: x = 0, x = 1, x = −1, x = a fraction. If the comparison changes, the answer is "cannot be determined."
5In the UK, GRE schedules and reschedules align with state holiday calendars and post-Brexit fee adjustments — confirm pricing on the awarding body's site before booking.

Sample GRE Quantitative: Algebra questions

These sample items mirror the format and difficulty of real GRE questions. Practice with thousands more on the free Koydo question bank.

1
If 3x − 7 > 2x + 1, which of the following must be true?
- Ax > −6
- Bx > 8Correct
- Cx < 8
- Dx > 6
Why this answer?
3x − 7 > 2x + 1 → 3x − 2x > 1 + 7 → x > 8. The solution is x > 8. This is a straightforward linear inequality — no sign flip because we subtracted (not divided by) a negative. (Illustrative.)
2
Quantity A: (x + 3)² where x = −5. Quantity B: (x − 3)² where x = 5. Which is greater?
- AQuantity A is greater
- BQuantity B is greater
- CThe two quantities are equalCorrect
- DThe relationship cannot be determined from the information given
Why this answer?
Quantity A: (−5 + 3)² = (−2)² = 4. Quantity B: (5 − 3)² = (2)² = 4. The quantities are equal. This tests the GRE skill of noticing that (−2)² = (2)² = 4 — the squaring removes the sign difference.

Frequently asked questions

Do I need to know quadratic formula for the GRE?

The quadratic formula (x = [−b ± √(b²−4ac)] / 2a) is useful but rarely required on the GRE, since most GRE quadratics are designed to factor nicely. Knowing how to factor quadratics (FOIL in reverse) is the primary skill. The quadratic formula is a backup for non-factorable cases.

Does the GRE test logarithms or exponential functions?

The GRE tests basic exponent rules (product rule, power rule, negative exponents) and simple exponential growth/decay scenarios. Advanced logarithm problems (change of base, log equations) are rare but possible at the highest Quant difficulty levels.

What is the GRE pass rate for British candidates?

Pass rates for GRE candidates in United Kingdom are published periodically by the awarding body. Practice questions, full-length simulations, and weak-area drills are the highest-impact way to improve your odds.

How long should British candidates study Quantitative: Algebra for the GRE?

For most candidates, focused mastery of Quantitative: Algebra requires 20–40 hours of deliberate practice — drilling sample questions, reviewing failure modes, and timing yourself against exam conditions. UK candidates often take exams for both domestic licensure (NMC, GMC) and migration purposes. IELTS UKVI is a separate, higher-stakes track. Combine Quantitative: Algebra study with full-length mock exams in the final two weeks before your test date.

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Related study guides

Regulatory citation: ETS GRE General Test Preparation — Quantitative Reasoning content specifications.