Free Algebra MCQs with Answers

269 Algebra MCQs from Mathematics, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.

Algebra represents unknown quantities with symbols and uses equations, identities, patterns, and formulas to solve problems. The chapter includes linear and quadratic equations, sequences and series, and the distinction between solving an equation and finding a general rule for a sequence or sum.

Last updated

269 questions · page 10 of 14

  • A. 18712
  • B. c12/210
  • C. 210/c12
  • D. 210c12

Explanation: Correct Answer "210/c12"Solution :Hence Answer is "(D)"

Correct answer: 210/c12
  • A. 2
  • B. 4
  • C. 3
  • D. 5

Explanation: Correct Answer "2"Solution :Hence Answer is "(A)"

Correct answer: 2
  • A. 3
  • B. ±3
  • C. -3
  • D. -2

Explanation: Correct Answer "±3"Solution:Hence Answer is "(B)"

Correct answer: ±3
  • A. k=2
  • B. k=8
  • C. k=14
  • D. All are correct

Explanation: Correct Answer "All are correct"Solution :Hence Answer is "(D)"

Correct answer: All are correct
  • A. 2 and 9
  • B. 3 and 2
  • C. 2/3 and 9

Explanation: Correct Answer "⅔ and 9"Solution :Hence Answer is "(C)"

Correct answer: 2/3 and 9
  • A. 356
  • B. 252
  • C. 210
  • D. 120

Explanation: Correct Answer "252"Solution :Hence Answer is "(B)"

Correct answer: 252
  • A. +32
  • B. -24
  • C. +24
  • D. -32

Explanation: Correct Answer "-32"Solution :Hence Answer is "(D)"

Correct answer: -32
  • A. 24
  • B. 29
  • C. 48
  • D. 96

Explanation: Correct Answer "24" Solution:Hence Answer is "(A)"

Correct answer: 24
  • A. Alternating series
  • B. Divergent
  • C. Fimite series
  • D. Infinite series

Explanation: Correct Answer "Infinite Series"Solution:By DefinitionHence Answer is "(D)"

Correct answer: Infinite series
  • A. 1-3/2h
  • B. 1+3/2h
  • C. 1-2/3h
  • D. 1+2/3h

Explanation: Correct Answer "1+3h/2"Solution :Hence Answer is "(B)"

Correct answer: 1+3/2h
  • A. (-1)^2
  • B. 1
  • C. (-1)n (n+1)
  • D. (n+1)

Explanation: Correct Answer "(-1)n (n+1)" Solution :Hence Answer is "(C)"

Correct answer: (-1)n (n+1)
  • A. 1/√5
  • B. 4/√5
  • C. 2/√5
  • D. 3/√5

Explanation: Correct Answer "2/√5"Solution:Hence Answer is "(C)"

Correct answer: 2/√5
  • A. (1+x)-2
  • B. (1+x)-3
  • C. (1-x)
  • D. (1+x)-1

Explanation: Correct Answer "(1+x)-2"Solution:(1-x2)=1-2x-3x2-x2Hence Answer is "(A)"

Correct answer: (1+x)-2
  • A. |x|<1
  • B. |x|<1/2
  • C. |x|<2
  • D. |x|<3/8

Explanation: Correct Answer "|x|<3/8"Solution:|10x/5| < 1, |8x/3| < 1Hence Answer is "(D)"

Correct answer: |x|<3/8
  • A. (r+1) (r+2)/2
  • B. (r+1) (r+2)x4
  • C. (-1) (r+1) (r+2)x4/2
  • D. (-1) (r+1) (r+2)x4

Explanation: Correct Answer "(r+1) (r+2)/2"Solution:T=(r+1) (r+2)/2Hence Answer is "(C)"

Correct answer: (r+1) (r+2)/2
  • A. 4(2-1)
  • B. 2n²+2n+1
  • C. (-1)(n+1)
  • D. (-1)" (n+1)

Explanation: Correct Answer "4(2n-1)"Solution:Hence Answer is "(A)"

Correct answer: 4(2-1)
  • A. (-1)-2 (2x)-2
  • B. (-1)-4 (-2x)-2
  • C. (-1)-4 (2x)-1
  • D. Does not exist

Explanation: Correct Answer "Does not exist"Solution:No last term because an infinite sequence has no last termHence Answer is "(D)"

Correct answer: Does not exist
  • A. (-1) 2"
  • B. 2n
  • C. (-1)(n+1)xn
  • D. (n+1)2"

Explanation: Correct Answer "(n+1)2 "Solution:By verificationHence Answer is "(D)"

Correct answer: (n+1)2"
  • A. rth
  • B. (r+1)th
  • C. (r-1)th
  • D. (r+2)th

Explanation: Correct Answer " (r+1)th"Solution :(r+1)th termHence Answer is "(B)"

Correct answer: (r+1)th
  • A. n
  • B. n-1
  • C. n-2
  • D. n+1

Explanation: Correct Answer "(n+1)"Solution:Hence Answer is "(D)"

Correct answer: n+1