Mathematics · Quantitative Aptitude

Algebraic Expressions and Polynomials

292 Questions

Algebraic expressions and polynomials form the foundation of algebra, involving variables, constants, and mathematical operations. This topic is heavily tested in the quantitative aptitude sections of SSC, banking, and state exams. Use these questions to practice expanding, factoring, and simplifying various polynomial expressions.

Expanding algebraic expressionsFactoring polynomialsAlgebraic identitiesFinding common factorsSimplifying numerical statements

Algebraic Expressions and Polynomials Questions

Multiple choice

Which of the following expressions is correct?

  1. (-81)/[(-3) x (-3)] = 9

  2. (-48)/[(-9) + 7] = -24

  3. (-24)/[(-6)/(-1)] = -4

  4. [(-6)/(-3) ]/[(-7) - (-1)] = -12

  5. -4 + (-24)/[(-2) x (-2)] = -7
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

When a negative integer is divided by another negative integer, the division is the same as that of two positive integers and the quotient has a positive sign. Hence, (–24) / [(–6) / (-1)] = (-24) / 6 = - 4. This answer is correct.

Multiple choice

Which of the following expressions is equivalent to the expression 7 × (-14) + 6 × (-7)?

  1. (-7) × 8

  2. (-7) × 20

  3. (14) × (-20)

  4. (14) × (-8)

  5. (13) × (-21)
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The given expression is 7 × (-14) + 6 × (-7)7 × (-14) + 6 × (-7) = (-7) × 14 + 6 × (-7) = (-7) × 14 + (-7) × 6 [Commutative property of multiplication] = (-7) × (14 + 6) [Distributive property of multiplication over addition] = (-7) × 20 Hence, the option 2, 7 × (-14) + 6 × (-7) = (-7) × 20 is correct. This answer is correct.

Multiple choice

What type of equation is 25x + 6 = 106?

  1. Algebraic equation with one variable

  2. Algebraic equation with two variables

  3. Numeric statement

  4. Algebraic expression

  5. None of the above
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The given equation is an algebraic equation with one variable.