- No data uploaded
- Instant results
SSAT Algebra Questions
Practise algebra (mathematics) for the Secondary School Admission Test: 10 multiple-choice questions, each with the correct answer and a worked explanation. Click an option to check it, or “New questions” for another set.
Algebra practice
-
Q1.Solve: 5x + 4y = 8 and x + 4y = 8
Show answer & explanation
Answer: B — x = 0, y = 2
Elimination/substitution gives x = 0, y = 2. Check: 5(0) + 4(2) = 8 ✓ and 1(0) + 4(2) = 8 ✓.
-
Q2.Find log 1,000,000 (base 10).
Show answer & explanation
Answer: B — 6
log_10(1000000) asks “10 to what power gives 1000000?” → 10^6 = 1000000, so the answer is 6.
-
Q3.Solve: x + 5y = 57 and 2x + 3y = 44
Show answer & explanation
Answer: D — x = 7, y = 10
Elimination/substitution gives x = 7, y = 10. Check: 1(7) + 5(10) = 57 ✓ and 2(7) + 3(10) = 44 ✓.
-
Q4.Find log₅ 625.
Show answer & explanation
Answer: D — 4
log_5(625) asks “5 to what power gives 625?” → 5^4 = 625, so the answer is 4.
-
Q5.Solve: x² − 64 = 0
Show answer & explanation
Answer: A — -8, 8
Find two roots with sum 0 and product -64: -8 and 8. So x² − 64 = (x + 8)(x − 8) = 0.
-
Q6.Solve: x² − 8x + 16 = 0
Show answer & explanation
Answer: A — 4, 4
Find two roots with sum 8 and product 16: 4 and 4. So x² − 8x + 16 = (x − 4)(x − 4) = 0.
-
Q7.Solve: 3x + 3y = 36 and 2x + y = 23
Show answer & explanation
Answer: C — x = 11, y = 1
Elimination/substitution gives x = 11, y = 1. Check: 3(11) + 3(1) = 36 ✓ and 2(11) + 1(1) = 23 ✓.
-
Q8.Solve: x² + 11x + 24 = 0
Show answer & explanation
Answer: C — -8, -3
Find two roots with sum -11 and product 24: -3 and -8. So x² + 11x + 24 = (x + 3)(x + 8) = 0.
-
Q9.Solve: x² + 11x + 24 = 0
Show answer & explanation
Answer: C — -8, -3
Find two roots with sum -11 and product 24: -8 and -3. So x² + 11x + 24 = (x + 8)(x + 3) = 0.
-
Q10.Solve: 5x + 3y = -1 and 4x + y = -12
Show answer & explanation
Answer: B — x = -5, y = 8
Elimination/substitution gives x = -5, y = 8. Check: 5(-5) + 3(8) = -1 ✓ and 4(-5) + 1(8) = -12 ✓.
How to approach algebra questions
Factorise quadratics by finding two numbers with the right sum and product; check roots by substitution. For simultaneous equations, elimination is usually faster than substitution under time pressure.
About SSAT
Secondary School Admission Test — conducted by The Enrollment Management Association. Admission test for independent (private) middle and high schools.
Original practice questions written for this site in the style and difficulty of each exam’s syllabus. They are not past papers and the site is not affiliated with any exam body. Exam patterns, marking schemes and syllabi change — always check the latest official notification.
SSAT practice topics
| Topic | Section | Question source |
|---|---|---|
| Vocabulary & Idioms | English | Question bank |
| Verbal Reasoning & Analogies | Reasoning | Calculated + question bank |
| Algebra | Mathematics | Calculated (new numbers every set) |
| Percentages | Quantitative aptitude | Calculated (new numbers every set) |