Important Questions: Algebraic Expressions - Class 7 MCQ

a² is a monomial expression because it contains only one term.

The coefficient of x in the expression −12x is −12.

The algebraic expression 2x² + y² − 3xy + 4 has 4 terms: 2x², y², −3xy, and 4.

The value of the expression ax² + by² - cz can be calculated by substituting the given values:

• Let a = -2, b = 1, c = -2, x = 1, y = -1, and z = 2.
• Calculate each term:
  • ax²:
    -2 * (1)² = -2
  • by²:
    1 * (-1)² = 1
  • cz:
    -2 * 2 = -4
• Combine the results:
  -2 + 1 - (-4) = -2 + 1 + 4 = 3

Thus, the final value of the expression is 3.

a² − b² is a binomial expression because it contains two terms.

x³ + y³ + z³ is a trinomial because it contains three terms.

The value of the expression ax + by + cz can be calculated by substituting the given values:

• Let x = 1, y = -1, z = 2, a = -2, b = 1, and c = -2.
• Substituting these values into the expression:
• ax = -2 * 1 = -2
• by = 1 * (-1) = -1
• cz = -2 * 2 = -4

Now, combine the results:

• -2 + (-1) + (-4) = -2 - 1 - 4 = -7

Thus, the value of the expression is -7.