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 3 of 14
- A. 55606
- B. 55697
- C. 55967
- D. 73373
Explanation: Work from left to right: 64309 - 8703 = 55606, then 55606 + 798 = 56404, and 56404 - 437 = 55967.
Correct answer: 55967- A. 26
- B. 26.26
- C. 2.2
- D. -22.22
Explanation: Subtracting first gives 25.25 - 23.23 = 2.02, and adding 24.24 gives 2.02 + 24.24 = 26.26.
Correct answer: 26.26- A. 22
- B. 23
- C. 24
- D. 26
Explanation: Let hens be h and cows be c. Then h + c = 48 and 2h + 4c = 140, so h + 2c = 70; subtracting the first equation gives c = 22 and h = 26…
Correct answer: 26- A. 256
- B. 432
- C. 512
- D. 640Everyday Science Quiz
Explanation: If there are n children, each initially receives n/8 notebooks, so the total is n x n/8 = n²/8 notebooks.
Correct answer: 512- A. 1/2
- B. 1/3
- C. 1/4
- D. 1/5Enrolling In Online Certification Courses
Explanation: Evaluate the left part first: 98 ÷ 7 ÷ 2 = 14 ÷ 2 = 7. Thus 7 ÷ ? = 14, so ? = 7 ÷ 14 = 1/2.
Correct answer: 1/2- A. 15
- B. 20
- C. 25
- D. 35
Explanation: The numerator is 24 × 5 × 7 × 9 = 7560. Therefore 7560 ÷ ? = 216, giving ? = 7560 ÷ 216 = 35.
Correct answer: 35- A. 3 * 2.75 * 2.75 * 2.75
- B. 3 * 2.00 * 2.00 * 2.00
- C. 3 * 2.75 * 0.75 * 2.75
- D. 4.5 * 2.75
Explanation: Since 2.75 = 2.00 + 0.75, use a^3 - b^3 - c^3 = 3abc when a = b + c: 3 x 2.75 x 2.00 x 0.75 = 12.375.
Correct answer: 4.5 * 2.75- A. -6, 3
- B. 3, -2/3
- C. -5, 2
- D. -9, 2
Explanation: Factor the equation as 3x² - 7x - 6 = (3x + 2)(x - 3) = 0. Thus 3x + 2 = 0 gives x = -2/3, and x - 3 = 0 gives x = 3.
Correct answer: 3, -2/3- A. -6, 7
- B. -8, 7
- C. 14, -3
- D. -7, 6
Explanation: The quadratic factors as x² + x - 42 = (x + 7)(x - 6) = 0. Hence the roots are x = -7 and x = 6.
Correct answer: -7, 6- A. -2, -1/2
- B. 4, -1
- C. 4, 1
- D. -2, 5/2Election Officer Mcqs
Explanation: Factor 2x² + 5x + 2 as (2x + 1)(x + 2) = 0. The roots are x = -1/2 and x = -2, which are the two values listed in option a.
Correct answer: -2, -1/2- A. If a > b
- B. If a ≥ b
- C. If a < b
- D. If a ≤ b.
Explanation: For a² - 13a + 42 = 0, (a - 6)(a - 7) = 0, so a is 6 or 7. For b² - 15b + 56 = 0, (b - 7)(b - 8) = 0, so b is 7 or 8; in every pairing, a…
Correct answer: If a ≤ b.- A. If a > b
- B. If a ≥ b
- C. If a < b
- D. If a ≤ b
Explanation: Interpreting a3 as a³, a³ - 988 = 343 gives a³ = 1331, so a = 11. Also, b² - 72 = 49 gives b² = 121, so b = 11 or -11; therefore a ≥ b in…
Correct answer: If a ≥ b- A. If a > b
- B. If a ≥ b
- C. If a < b
- D. If a ≤ b
Explanation: For 9a² + 18a + 5 = 0, the roots are a = (-18 ± 12)/18, giving -1/3 and -5/3.
Correct answer: If a > b- A. If x < y
- B. If x > y
- C. If x ≤ y
- D. If x ≥ y
Explanation: Factoring gives x² + 11x + 30 = (x + 5)(x + 6), so x is -5 or -6. Similarly, y² + 15y + 56 = (y + 7)(y + 8), so y is -7 or -8; every…
Correct answer: If x > y55. I. x2 + 3x - 18 = 0, II. y2 + y - 30 = 0 to solve both the equations to find the values of x and y?
- A. If x < y
- B. If x > y
- C. If x ≤ y
- D. If x ≥ y
- E. If x = y or the relationship between x and y cannot be established.
Explanation: The first equation factors as (x + 6)(x - 3) = 0, giving x = -6 or 3. The second factors as (y + 6)(y - 5) = 0, giving y = -6 or 5, so x…
Correct answer: If x = y or the relationship between x and y cannot be established.56. I. x2 + 9x + 20 = 0, II. y2 + 5y + 6 = 0 to solve both the equations to find the values of x and y?
- A. If x < y
- B. If x > y
- C. If x ≤ y
- D. If x ≥ y
Explanation: x² + 9x + 20 = (x + 4)(x + 5), so x = -4 or -5. y² + 5y + 6 = (y + 2)(y + 3), so y = -2 or -3; both possible x-values are less than both…
Correct answer: If x < y57. I. x2 - x - 42 = 0, II. y2 - 17y + 72 = 0 to solve both the equations to find the values of x and y?
- A. If x < y
- B. If x > y
- C. If x ≤ y
- D. If x ≥ y
- E. If x = y or the relationship between x and y cannot be established.
Explanation: Factoring the first equation gives (x - 7)(x + 6) = 0, so x = 7 or -6. The second gives (y - 8)(y - 9) = 0, so y = 8 or 9; even the larger…
Correct answer: If x < y58. I. x2 + 5x + 6 = 0, II. y2 + 9y +14 = 0 to solve both the equations to find the values of x and y?
- A. If x < y
- B. If x > y
- C. If x ≤ y
- D. If x = y or the relationship between x and y cannot be established.
Explanation: The roots are x = -2 or -3 because x² + 5x + 6 = (x + 2)(x + 3), while y = -7 or -2 because y² + 9y + 14 = (y + 7)(y + 2).
Correct answer: If x = y or the relationship between x and y cannot be established.59. I. a2 + 8a + 16 = 0, II. b2 - 4b + 3 = 0 to solve both the equations to find the values of a and b?
- A. If a < b
- B. If a ≤ b
- C. If the relationship between a and b cannot be established
- D. If a > b
Explanation: a² + 8a + 16 = (a + 4)², so a = -4. Also, b² - 4b + 3 = (b - 1)(b - 3), so b = 1 or 3; therefore a is less than either possible value of…
Correct answer: If a < b- A. If a < b
- B. If a ≤ b
- C. If the relationship between a and b cannot be established
- D. If a > b
Explanation: a² + 11a + 30 = (a + 5)(a + 6), giving a = -5 or -6. b² + 6b + 5 = (b + 1)(b + 5), giving b = -1 or -5; every a-value is less than or…
Correct answer: If a ≤ b