Q1 Easy
Solve: x² - 9 = 0. What are the roots?
A 3 and -3 B 9 and -9 C 3 only D 0 and 9
Q2 Easy
Expand (2x + 3y)² and find the coefficient of xy.
A 6 B 12 C 9 D 18
Q3 Easy
If one root of the equation x² - 5x + k = 0 is 2, find the value of k.
A 4 B 6 C 10 D -6
Q4 Exam Pattern Easy
Find the product of the roots of the equation 2x² - 8x + 6 = 0.
A 6 B 3 C -4 D 2
Q5 Easy
If 6x - 8 = 4x + 6, find x.
A 6 B 7 C 8 D 14
Q6 Easy
If α and β are roots of x² - 6x + 8 = 0, find the value of α² + β².
A 36 B 20 C 16 D 4
Q7 Easy
Solve: 2x + 3x = 35
A 5 B 7 C 12 D 35
Q8 Easy
If x² - 7x + 12 = 0, find the sum of the roots of the equation.
A 5 B 7 C -7 D 12
Q9 Easy
If 4(x - 3) = 20, what is the value of x?
A 5 B 8 C 12 D 17
Q10 Easy
If x + 1/x = 5, find the value of x² + 1/x².
A 25 B 23 C 27 D 20
Q11 Easy
Simplify: (p + q)² + (p - q)² using algebraic identities.
A 2p² + 2q² B 4pq C p² + q² D 2p² + 2q² + 4pq
Q12 Easy
Simplify: (x + 5)² - (x - 5)² using algebraic identities.
A 10x B 20x C 50 D 4x
Q13 Easy
If (a + b)² = 81 and ab = 18, find the value of a² + b².
A 36 B 45 C 63 D 99
Q14 Easy
If the roots of x² + px + 12 = 0 are 3 and 4, find the value of p.
A 7 B -7 C 12 D -12
Q15 Easy
Solve for y: 5y - 12 = 2y + 9
A 5 B 7 C 9 D 12
Q16 Easy
If 3x + 7 = 22, find the value of x.
A 3 B 5 C 7 D 9
Q17 Easy
If a - b = 7 and ab = 12, find the value of (a - b)² + 4ab.
A 97 B 73 C 84 D 61
Q18 Easy
Solve for z: 3(z + 4) = 27
A 4 B 5 C 9 D 23
Q19 Medium
If a² + b² = 34 and ab = 15, find the value of (a + b)² - (a - b)².
A 30 B 60 C 68 D 120
Q20 Medium
If x + 1/x = 5, find the value of x³ + 1/x³.
A 125 B 110 C 100 D 115
🔓
36+ more Algebra questions in the Practice Panel
Full question bank with difficulty filter, bookmark, and timed practice mode. Free to start — no credit card.
✓ Free forever for basic prep ✓ No app download ✓ Instant access
Study by Subtopic — Algebra 4 subtopics · tap any to study in depth
View all → Seen all the questions? Now test yourself
See your real SBI PO rank — free mock test
Full SBI PO mock · Instant All-India percentile · No signup needed
Study Next — Quantitative Aptitude Topics Why 12,000+ aspirants prepare on ZestExam
Real exam-pattern questions
Every question matches the actual paper style and difficulty.
Free — no credit card
Study immediately. Basic prep stays free forever.
AI Battle Plan
Personalized study plan generated after every mock test.
Error DNA analysis
Automatically finds your exact weak spots across topics.
Free All-India rank check
See your percentile the moment you finish a mock.
40+ exams covered
SSC, Railways, Banking, Defence, Teaching and more.
✓ Free forever for basic prep ✓ No app download needed ✓ Real exam-pattern questions ✓ 12,000+ active aspirants