Class 8 Maths Worksheet: Algebraic Expressions

Class 8 Maths Worksheet: Algebraic Expressions

📘 Class 8 Maths Worksheet

Topic: Algebraic Expressions (Simplification, Operations & Identities)

Name: ____________ Class: 8 Date: ____________

✏️ Section A: Basic Level (Identify & Simplify)

  1. Identify the coefficient of xxx in 7x+57x + 57x+5.
  2. Write the expression: “5 more than twice a number x.”
  3. Simplify: 3x+5x3x + 5x3x+5x
  4. Simplify: 9a−4a9a – 4a9a−4a
  5. Simplify: 6p+2+3p+86p + 2 + 3p + 86p+2+3p+8
  6. Identify like terms: 2x,3y,5x,7y2x, 3y, 5x, 7y2x,3y,5x,7y
  7. Write algebraic form of: “A number decreased by 9.”

✏️ Section B: Medium Level (Simplification & Substitution)

  1. Simplify: 4x+3y−2x+5y4x + 3y – 2x + 5y4x+3y−2x+5y
  2. Simplify: 7a−3b+2a+4b7a – 3b + 2a + 4b7a−3b+2a+4b
  3. Evaluate 2x+32x + 32x+3 when x=4x = 4x=4
  4. Evaluate 5a−2b5a – 2b5a−2b when a=3,b=1a = 3, b = 1a=3,b=1
  5. Simplify: 6m−2n+3m+5n−m6m – 2n + 3m + 5n – m6m−2n+3m+5n−m
  6. Subtract: (8x+5)−(3x+2)(8x + 5) – (3x + 2)(8x+5)−(3x+2)
  7. Add: (6a−4b)+(3a+7b)(6a – 4b) + (3a + 7b)(6a−4b)+(3a+7b)

✏️ Section C: Advanced Level (Word Problems & Reasoning)

  1. The cost of one pen is xxx and one notebook is yyy. Write an expression for the cost of 4 pens and 3 notebooks.
  2. A number is multiplied by 5 and then 7 is added. Write the expression.
  3. If x=10x = 10x=10, find the value of 3x2−2x+53x^2 – 2x + 53×2−2x+5.
  4. Simplify: 2(x+3)+3(x−2)2(x + 3) + 3(x – 2)2(x+3)+3(x−2)
  5. Expand: 5(x+4)5(x + 4)5(x+4)
  6. Expand: 3(2x+5)3(2x + 5)3(2x+5)

✏️ Section D: Higher Order Thinking (HOTS)

  1. If x+y=10x + y = 10x+y=10, find the value of 3x+3y3x + 3y3x+3y.
  2. If a=2a = 2a=2, b=3b = 3b=3, evaluate: 2a2+3b22a^2 + 3b^22a2+3b2.
  3. Write an expression for: “Three times a number minus twice another number.”
  4. Simplify: 4(x+2)−3(x−1)4(x + 2) – 3(x – 1)4(x+2)−3(x−1)
  5. A number is doubled and then increased by 15. If the number is xxx, write and simplify the expression.
  1. If x=5x = 5x=5, compare the values of:
  • A=x2+2xA = x^2 + 2xA=x2+2x
  • B=3x+10B = 3x + 10B=3x+10
    Which is greater?

✅ Answer Key

✏️ Section A: Basic Level

  1. 7
  2. 2x + 5
  3. 8x
  4. 5a
  5. 9p + 10
  6. Like terms: (2x, 5x) and (3y, 7y)
  7. x − 9

✏️ Section B: Medium Level

  1. 2x + 8y
  2. 9a + b
  3. 11
  4. 13
  5. 8m + 3n
  6. 5x + 3
  7. 9a + 3b

✏️ Section C: Advanced Level

  1. 4x + 3y
  2. 5x + 7
  3. 285
  4. 5x
  5. 5x + 20
  6. 6x + 15

✏️ Section D: HOTS

  1. 30
  2. 35
  3. 3x − 2y
  4. x + 11
  5. 2x + 15

A = 35
B = 25
👉 A is greater