Loading...

About Algebra Introduction — Class 6 ICSE

Get started with variables, constants, and simple algebraic expressions. This topic is part of the ICSE Class 6 mathematics syllabus (chapter: Chapter 7). On this page you can practice 60 questions across three difficulty levels — 20 easy, 20 medium, and 20 hard — each with a visual step-by-step solution, plus a timed 35-question mastery test with a live leaderboard. Worked examples and sample questions from the topic are below.

What you'll learn in Algebra Introduction

  • Unit 1: Introduction to Algebra - The Language of Unknowns
  • Unit 2: Variables and Constants - The Changing and the Fixed
  • Unit 3: Algebraic Expressions - Building Blocks of Algebra
  • Unit 4: Understanding Coefficients and Terms
  • Unit 5: Evaluating Simple Expressions - Putting Numbers into Letters

Interactive lesson · about 15 minutes · checkpoint question after every unit

Algebra Introduction — solved examples for Class 6 ICSE

Example 1easy

Which of the following is a variable?
  1. A)5
  2. B)x
  3. C)7 + 3
  4. D)12

Step-by-step solution

  1. A variable is a symbol (usually a letter) that represents an unknown or changing quantity.
  2. Here, x is a variable. The rest (5, 7 + 3, 12) are all constants.

Answer: x

Example 2medium

Simplify: 5x + 3y + 2x - y
  1. A)7x + 2y
  2. B)7x + 4y
  3. C)10xy
  4. D)3x + 2y

Step-by-step solution

  1. Group like terms:
  2. x-terms: 5x + 2x = 7x
  3. y-terms: 3y - y = 2y
  4. Result:
    7x+2y7x + 2y

Answer: 7x + 2y

Example 3hard

Simplify: 7a + 3b - 4a + 2c - b + 5c
  1. A)3a + 2b + 7c
  2. B)11a + 4b + 7c
  3. C)3a + 4b + 3c
  4. D)3a + 2b + 3c

Step-by-step solution

  1. a-terms: 7a - 4a = 3a
  2. b-terms: 3b - b = 2b
  3. c-terms: 2c + 5c = 7c
  4. Result:
    3a+2b+7c3a + 2b + 7c

Answer: 3a + 2b + 7c

Practice questions on Algebra Introduction

  1. Q1.easy

    Which of the following is a constant?
    1. A)a
    2. B)n
    3. C)8
    4. D)p
    Show answer

    Answer: 8

    Hint: A constant has a fixed value that does not change.

  2. Q2.easy

    What is the algebraic expression for 'a number x increased by 5'?
    1. A)x - 5
    2. B)5x
    3. C)x + 5
    4. D)x / 5
    Show answer

    Answer: x + 5

    Hint: 'Increased by' means we add to the number.

  3. Q3.easy

    How many terms are there in the expression 3a + 7b - 2?
    1. A)1
    2. B)2
    3. C)3
    4. D)4
    Show answer

    Answer: 3

    Hint: Terms are separated by + or - signs.

  4. Q4.medium

    If a = 4 and b = 2, find the value of 3a - 2b + 1.
    1. A)7
    2. B)9
    3. C)11
    4. D)5
    Show answer

    Answer: 9

    Hint: Substitute the values and follow the order of operations.

  5. Q5.medium

    Solve: 2x + 3 = 11. Find x.
    1. A)3
    2. B)4
    3. C)5
    4. D)7
    Show answer

    Answer: 4

    Hint: First subtract 3 from both sides, then divide by 2.

  6. Q6.medium

    Anita is x years old. Her father is 3 times her age plus 5 years. What is the expression for her father's age?
    1. A)3x + 5
    2. B)3x - 5
    3. C)3(x + 5)
    4. D)x + 35
    Show answer

    Answer: 3x + 5

    Hint: '3 times her age' means 3x, then 'plus 5' means we add 5.

  7. Q7.hard

    If x = 2 and y = –3, find the value of 3x² – 2y. (x² means x times x)
    1. A)6
    2. B)18
    3. C)12
    4. D)0
    Show answer

    Answer: 18

    Hint: First compute x², then 3 times that, then subtract 2y (be careful with the negative sign).

  8. Q8.hard

    Solve: 4x - 5 = 2x + 7. What is x?
    1. A)1
    2. B)3
    3. C)6
    4. D)12
    Show answer

    Answer: 6

    Hint: Move the variable terms to one side and constants to the other.

  9. Q9.hard

    A number is 8 more than twice another number. If the smaller number is n, what is the expression for the larger number?
    1. A)2n + 8
    2. B)2n - 8
    3. C)8n + 2
    4. D)n + 16
    Show answer

    Answer: 2n + 8

    Hint: 'Twice another number' means 2n. '8 more than' means add 8.

These are 9 of the 60 questions available for Algebra Introduction. Start practicing above to unlock visual solutions, AI coaching, and the topic leaderboard — completely free.