WORKSHEET ON TYPES OF ALGEBRAIC EXPRESSIONS

Classify the following polynomials based on number of terms.

Problem 1 :

4y – 7z

Solution

Problem 2 :

y²

Solution

Problem 3 :

x + y - xy

Solution

Problem 4 :

100

Solution

Problem 5 :

ab – a - b

Solution

Problem 6 :

5 – 3t

Solution

Problem 7 :

4p²q – 4pq²

Solution

Problem 8 :

7mn

Solution

Problem 9 :

z² – 3z + 8

Solution

Problem 10 :

a² + b²

Solution

Problem 11 :

z² + z

Solution

Problem 12 :

1 + x + x²

Solution

Answer Key

Simplify the following by combining the like terms and then write whether the expression is a monomial, a binomial or a trinomial.

Problem 1 :

3x²yz² – 3xy²z + x²yz² + 7xy²z

Solution

Problem 2 :

x⁴ + 3x³y + 3x²y² – 3x³y – 3xy³ + y⁴ – 3x²y²

Solution

Problem 3 :

p³q²r + pq²r³ + 3p²qr² – 9p²qr²

Solution

Problem 4 :

2a + 2b + 2c – 2a – 2b – 2c – 2b + 2c + 2a

Solution

Problem 5 :

50x³ – 21x + 107 + 41x³ – x + 1 – 93 + 71x – 31x³

Solution

Answer Key

1)  Binomial

2)  Trinomial

3)  Trinomial

4)  Trinomial

5)  Trinomial