Mathematics · Reasoning

Algebraic Expressions

183 Questions

Algebraic expressions form the foundation of mathematics, involving variables, constants, and arithmetic operations. This topic includes evaluating coefficients, solving proportional relationships, and understanding boolean logic. It is widely tested across various competitive exams to assess analytical skills.

Variable evaluationExpression coefficientsBoolean logic variablesDirect proportionalityProgramming expressions

Algebraic Expressions Questions

Multiple choice

In boolean algebra, x. y = _____

  1. x

  2. y

  3. x.y

  4. y. x
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The commutative law states that the order of operands in an AND operation does not change the result. Therefore, x . y is equivalent to y . x.

Multiple choice

In boolean algebra, x + y = ____

  1. x

  2. y

  3. x + y

  4. y + x
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The commutative law states that the order of operands in an OR operation does not change the result. Therefore, x + y is equivalent to y + x.

Multiple choice

In boolean algebra, x.(y.z) = _____

  1. x

  2. y

  3. x.y

  4. (x.y).z
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The associative law states that when performing the same operation (AND) on three variables, the grouping does not change the result. Thus, x . (y . z) equals (x . y) . z.

Multiple choice

In boolean algebra, x + (y + z) = ______

  1. x

  2. y

  3. x + y

  4. (x + y) + z
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The associative law states that when performing the same operation (OR) on three variables, the grouping does not change the result. Thus, x + (y + z) equals (x + y) + z.

Multiple choice

In boolean algebra, x + yz = _____

  1. x

  2. y

  3. x + y

  4. (x + y) (x + z)
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The distributive law states that x + (y . z) equals (x + y) . (x + z). This is a fundamental property for expanding boolean expressions.

Multiple choice

In boolean algebra, (x + y)' = ____

  1. x

  2. y

  3. x'y'

  4. xy
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

De Morgan's law states that the complement of an OR expression is equal to the AND of the individual complements. Thus, (x + y)' equals x' . y'.