Worksheet 1: Algebra Basics

A. Constants and variables

  1. In \(7x+4\), identify the variable and the constant term.

  2. In \(12-5y\), identify the variable and the constant term.

  3. Write the literals (letters) appearing in \(6ab+3c-9\).

  4. A notebook costs ₹\(p\). Riya buys 4 notebooks. In the expression \(4p\), what does \(p\) represent, and which number is fixed?

B. Operations and expressions

  1. Write \(8\times m\) without the multiplication sign.

  2. Write \(3ab\) using multiplication signs between all factors.

  3. Write an expression for “9 more than a number \(n\)”.

  4. Write an expression for “5 less than twice a number \(t\)”.

  5. Write an expression for “a number \(k\) divided by 4”.

  6. In \(6x+5\), which operation is performed first when finding its value?

C. Types of expressions

For Questions 11–15, write the number of terms and classify the expression as a monomial, binomial, trinomial or multinomial.

  1. \(9a\)

  2. \(x+7\)

  3. \(p^2+3p-2\)

  4. \(a+b+c+d\)

  5. \(14\)

D. Numerical coefficients

Write the numerical coefficient of the variable term indicated. Include its sign.

  1. \(8x\)

  2. \(-6ab\)

  3. \(y\)

  4. \(-m^2\)

  5. Write the numerical coefficients of both variable terms in \(4p-9q+6\).