MCQs of  Algebra

Let’s begin with some most important MCs of  Algebra.

Question 1:

\[
\text{After simplifying this equation } \frac{a^{-\frac{1}{3}} \times a^{\frac{1}{3}}}{a^{-\frac{1}{2}}} \text{, the result will be equal to?}
\]
\[
\text{(a) } a^{\frac{1}{2}}, \quad \text{(b) } a^{-\frac{1}{2}}, \quad \text{(c) } a^{-\frac{7}{18}}, \quad \text{(d) } \text{All of these}
\]
Answer: (b)

Question 2:

\[
\text{What is the logarithmic form of } 2^6 = 64 \text{?}
\]
\[
\text{(a) } \log_2 64 = 6, \quad \text{(b) } \log_2 6 = 64, \quad \text{(c) } \log_2 64 = 2, \quad \text{(d) } \log_2 6 = 2
\]
Answer: (a)

Question 3:

\[
\text{Logarithm with base } x \text{ of } \frac{y}{z} = ?
\]
\[
\text{(a) } \log_x y + \log_x z, \quad \text{(b) } \log_x y – \log_x z, \quad \text{(c) } \log_x y \times \log_x z, \quad \text{(d) } \text{None of these}
\]
Answer: (b)

Question 4:

\[
\text{On solving the system of equations } x + 2y = 13, \, x + y + z = 12, \, 2y + z = 11
\]
\[
\text{the solution will be?}
\]
\[
\text{(a) } x = 4, y = 5, z = 3, \quad \text{(b) } x = 3, y = 5, z = 4, \quad \text{(c) } x = 3, y = 4, z = 5, \quad \text{(d) } x = 5, y = 4, z = 3
\]
Answer: (d)

Question 5:

\[
\text{By simplifying } 2p – 3q – 4r + 6r – 2q + p
\]
\[
\text{the result will be?}
\]
\[
\text{(a) } 7p + 5r, \quad \text{(b) } 8q – 5r, \quad \text{(c) } 3p – 5q + 2r, \quad \text{(d) } 10p + 3q – 5r
\]
Answer: (c)

Question 6:

\[
\text{What is the factorization of } 3x – 9xy – 12z
\]
\[
\text{?}
\]
\[
\text{(a) } 3(x + 3y – 4z), \quad \text{(b) } 3(x – 3y + 4z), \quad \text{(c) } 3(x + 3y + 4z), \quad \text{(d) } 3(x – 3y – 4z)
\]
Answer: (d)

Question 7:

\[
\text{After simplifying the equation } -\frac{3}{5}b \times \frac{5}{9}
\]
\[
\text{the answer will be?}
\]
\[
\text{(a) } \frac{1}{3}b, \quad \text{(b) } 3b, \quad \text{(c) } 5bh, \quad \text{(d) } \text{All of these}
\]
Answer: (a)

Question 8:

\[
\text{What is the answer to this expression } 4[3s – 2(6s – 8)]
\]
\[
\text{?}
\]
\[
\text{(a) } 12s – 16, \quad \text{(b) } 12s + 16, \quad \text{(c) } 12s + 16, \quad \text{(d) } \text{None of these}
\]
Answer: (b)

Question 9:

\[
\text{What will be the answer to this algebraic expression } 2\left\{ 4a + \left[ -b – 5(c + ab) \right] \right\}
\]
\[
\text{?}
\]
\[
\text{(a) } 7a – 3b + 11c, \quad \text{(b) } 3b + 10c, \quad \text{(c) } 4a + 6b + 12c, \quad \text{(d) } \text{All of these}
\]
Answer: (c)

Question 10:

\[
\text{On solving this equation } \frac{2}{6}(3a + 2b) – \frac{1}{2}(2a + 4b) – 2(12a – 6b)
\]
\[
\text{the answer will be?}
\]
\[
\text{(a) } -2a + 4b, \quad \text{(b) } -6a – 7b, \quad \text{(c) } 5a + 6b, \quad \text{(d) } 7a – 8b
\]
Answer: (b)

More MCQs on Algebra (Collected from Past Papers)

1. Elementary Algebra – MCQs
2. Algebraic Expressions – MCQs
3. Algebraic Identities – MCQs
4. Commutative Algebra – MCQs
5. Linear Equations – MCQs
6. Graphing Linear Equations – MCQs
7. Inequalities in Algebra – MCQs
8. Absolute Value Inequalities – MCQs
9. Exponent – MCQs
10. Exponential Functions – MCQs
11. Logarithms – MCQs
12. Polynomials – MCQs
13. Factoring Methods – MCQs
14. Polynomial Arithmetic – MCQs
15. Quadratic Equation – MCQs
16. Linear Algebra – MCQs
17. Matrices in Algebra – MCQs
18. Functions in Algebra – MCQs
19. Sequences in Algebra – MCQs
20. Arithmetic in Algebra – MCQs
21. Combining Like Terms in Algebra – MCQs
22. Abstract Algebra – MCQs
23. Sets in Algebra – MCQs
24. Algebra Calculator – MCQs

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