Easy Level Worksheet

Part A: Subjective Questions - Very Short Answer (1 Mark Each)

Algebraic expressions are the building blocks of algebra, helping us represent real-world situations mathematically.

Let's start by understanding the basic terminology and types of expressions.

1. Define an algebraic expression.

An algebraic expression is a combination of variables, constants, and operationsan expression with variables and numbers. (Note: Any similar meaning is correct)

Perfect! Examples: 3x + 5, 2x2 - 7y, etc.

2. What is the difference between a monomial and a binomial?

A monomial has term, while a binomial has terms.

Excellent! Monomial: 5x, Binomial: 3x + 4.

3. What do you mean by like terms? Give one example.

Like terms have the same variables with same powersthe same variables with different powers.

Example: 3x and 5x2x2 and -7x2 (Note: Any valid example)

Great! Like terms can be added or subtracted.

4. Write any one example of trinomial.

Answer:

Perfect! A trinomial has exactly three terms.

5. Find the number of terms in the expression: 3x2 + 5x - 7.

Answer: terms

Correct! The three terms are 3x2, 5x, and -7.

Drag each expression to its correct type:

Part A: Section B – Short Answer Questions (2 Marks Each)

1. Classify the following as monomial, binomial or trinomial:

(a) 7x2y is a

(b) 3x + 4y is a

(c) 4x2 + 3x + 2 is a

Excellent! You've correctly classified all expressions.

2. Add: 5x2 + 3xy + 2y2 and 2y2 - xy + 4x2.

Arranging like terms:

= (5x2 + 4x2) + (3xy - xy) + (2y2 + 2y2)

= x2 + xy + y2

Perfect! The sum is 9x2 + 2xy + 4y2.

3. Subtract (3x2 + 2xy - 5) from (5x2 + 4xy + 8).

= (5x2 + 4xy + 8) - (3x2 + 2xy - 5)

= 5x2 + 4xy + 8 - 3x2 - 2xy + 5

= ( - )x2 + ( - )xy + ( + )

= x2 + xy +

Excellent! The answer is 2x2 + 2xy + 13.

4. Identify the like and unlike terms from the following: 3a2, 4a, -5a², 7ab, 2a

Like terms: (both have a²)

Like terms: (both have a)

Unlike term: (different from others)

Great! You've correctly identified all like and unlike terms.

5. If A = 2x2 + 3y and B = 4x2 - 2y, find A + B and A - B.

A + B = (2x2 + 3y) + (4x2 - 2y) = x2 + y

A - B = (2x2 + 3y) - (4x2 - 2y) = x2 + y

Perfect! A + B = 6x2 + y and A - B = -2x2 + 5y.

Part B: Objective Questions - Test Your Knowledge!

Answer these multiple choice questions:

6. The numerical coefficient of -7xy2 is:

(a) 7 (b) -7 (c) 2 (d) -2

Correct! The numerical coefficient is -7 (includes the sign).

7. Like terms can be:

(a) Added (b) Subtracted (c) Both a & b (d) None

Perfect! Like terms can be both added and subtracted.

8. The algebraic expression for "three more than twice x" is:

(a) 2x - 3 (b) 3x + 2 (c) 2x + 3 (d) x + 2

Excellent! "Twice x" is 2x, and "three more" means +3, so 2x + 3.

9. The degree of 4x3y2 is:

(a) 2 (b) 3 (c) 4 (d) 5

Perfect! Degree = 3 + 2 = 5 (sum of powers of all variables).

10. The sum of 5x + 3y and 4x - 2y is:

(a) 9x + y (b) 9x - y (c) x + y (d) x - y

Correct! (5x + 4x) + (3y - 2y) = 9x + y.

🎉 Fantastic Work! You've Mastered Basic Algebraic Expressions!

Here's what you learned:

• Definitions:

  • Algebraic Expression: Combination of variables, constants, and operations
  • Terms: Parts separated by + or - signs
  • Coefficient: Numerical part of a term

• Types of Expressions:

  • Monomial: One term (5x, -3y2)
  • Binomial: Two terms (3x + 4, 2a - 5b)
  • Trinomial: Three terms (x2 + 3x + 2)

• Like Terms: Same variables with same powers

  • Can be added or subtracted
  • Examples: 3x and -5x, 2x2 and 7x2

• Operations:

  • Addition: Combine like terms
  • Subtraction: Change signs and combine

• Degree: Sum of powers of all variables in a term

  • Example: 4x3y2 has degree 5 (3 + 2)

These foundational skills prepare you for solving equations and working with complex algebraic expressions!