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.
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269 questions · page 11 of 14
- A. a=2,b=2
- B. a=3,b=2
- C. a=2,b=-6
- D. a=-3,b=2
Explanation: Correct Answer "a=2,b=-6"Solution :Hence Answer is "(C)"
Correct answer: a=2,b=-6202. 1+1/4+1.3/4.8=....=
- A. 4/√5
- B. 2/√5
- C. 3/√5
- D. √2
Explanation: Correct Answer "√2"Solution:Hence Answer is "(D)"
Correct answer: √2- A. 1.2
- B. 2, 3
- C. 3.6
- D. 2, 4
Explanation: Correct Answer "24"Solution:Hence Answer is "(D)"
Correct answer: 2, 4- A. 0
- B. 1
- C. 2
- D. -1
Explanation: Correct Answer "1"Solution :(1-2x)-1/2 =1+x+....Hence Answer is "(B)"
Correct answer: 1- A. 2
- B. 1/2
- C. 3
- D. 4
Explanation: Correct Answer "1/2"Solution :Hence Answer is "(B)"
Correct answer: 1/2- A. 1-1/2x-1/8x2-1/16x3
- B. 1+1/2x+1/8x2+1/16x3
- C. 1+1/2x+1/4x2+1/8x3
- D. 1-1/2x-1/4x2+1/8x3
Explanation: Correct Answer "1-1/2x-1/8x2-1/16x3"Solution :Hence Answer is "(A)"
Correct answer: 1-1/2x-1/8x2-1/16x3- A. -2/3,-1/2
- B. 2/3,1/2
- C. 4/9,1/2
- D. -4/9,-1/2
Explanation: Correct Answer "-4/9,-1/2"Solution :Hence Answer is "(D)"
Correct answer: -4/9,-1/2- A. 1-1/2x-9/8x2
- B. 1+1/2x+9/8x2
- C. 1+1/2x
- D. 1-1/2x
Explanation: Correct Answer "1-1/2x-9/8x2 "Solution :Hence Answer is "(A)"
Correct answer: 1-1/2x-9/8x2- A. 1.523
- B. 1.456
- C. 1.987
- D. 1.234
Explanation: Correct Answer "1.987"Solution :Hence Answer is "(C)"
Correct answer: 1.987- A. (1-x)-2
- B. (1-x)-1
- C. (1+x)-1
- D. None of these
Explanation: Correct Answer "None of these"Solution :Binomial series is only valid for |x| < 1Hence Answer is "(D)"
Correct answer: None of these- A. 2.000
- B. 2.002
- C. 2.002 3
- D. 2.016
Explanation: **Correct Answer:** (b) 2.002**Explanation:**To find \( (8.2)^{\frac{1}{3}} \), we take the cube root of 8.2.\[ (8.2)^{\frac{1}{3}}…
Correct answer: 2.002- A. n = 0
- B. n = 1
- C. n ≥ 2
- D. n is any positive integer
Explanation: To determine the range of values for n where the statement "4^n > 3^n + 4" is true, we need to analyze the inequality.
Correct answer: n ≥ 2- A. n = 2
- B. n = 4
- C. n = 6
- D. n ≥ 6
Explanation: To determine the range of values for n where the statement "3^n < n!" is true, we need to analyze the inequality.For n ≥ 6, the statement…
Correct answer: n ≥ 6- A. (n c r) a^(n-r) x^r
- B. (n c r) a^(n-r) x^(n-r)
- C. (n c r) a^(r) x^(n-r)
- D. (n c r) (a x)^(n-r)
Explanation: The general term of the binomial expansion (a + x)^n is given by the formula:(n c r) a^(n-r) x^rWhere:n is the exponent of the binomial…
Correct answer: (n c r) a^(n-r) x^r- A. n
- B. n + 1
- C. 2^n
- D. 2^n - 1
Explanation: The number of terms in the expansion of (a + b)^n is given by the formula:2^nWhere n is the exponent of the binomial expression
Correct answer: 2^n- A. n
- B. n - 1
- C. n + 1
- D. 2n
Explanation: The general term of the binomial expansion (a + x)^n is given by the formula:(n choose r) a^(n-r) x^rWhere:n is the exponent of the…
Correct answer: 2n- A. (n choose r+1) a^(n-r-1) x^r
- B. (n choose r) a^(n-r) x^r
- C. (n choose r-1) a^(n-r+1) x^r+1
- D. (n choose r) a^(n-r+1) x^r+1
Explanation: The general term of the binomial expansion (a + x)^n is given by the formula:(n choose r) a^(n-r) x^rWhere:n is the exponent of the…
Correct answer: (n choose r) a^(n-r+1) x^r+1- A. decreases from n to 0
- B. increases from 0 to n
- C. remains n everywhere
- D. becomes n at the end
Explanation: In the expansion of (a + x)^n, the general term is given by:(n choose r) a^(n-r) x^rWhere:n is the exponent of the binomial expressionr is…
Correct answer: decreases from n to 0- A. decreases from n to 0
- B. Increases from 0 to n
- C. remains n everywhere
- D. becomes 0 at the end
Explanation: In the expansion of (a + x)^n, the general term is given by:(n choose r) a^(n-r) x^rWhere:n is the exponent of the binomial expressionr is…
Correct answer: Increases from 0 to n- A. T7
- B. T8
- C. T6 & T7
- D. T7 & T8
Explanation: Since the exponent n = 14, which is an even number, the middle term will be a single term.The middle term in the expansion of (a - 3x)^n…
Correct answer: T8