What is a variable in algebra?

A variable is a letter (like x, y, or n) that represents an unknown number. Its value can change depending on the problem. For example, in the expression 2x + 3, x is the variable that can take different values.

What is the difference between an expression and an equation?

An expression is a combination of numbers, variables and operations without an equals sign (e.g., 3x + 5). An equation has an equals sign and states that two things are equal (e.g., 3x + 5 = 20). You evaluate expressions but solve equations.

How do you solve a simple equation by trial and error?

Try different values of the variable until both sides of the equation are equal. For example, for x + 7 = 12, try x = 3 (gives 10, too small), x = 5 (gives 12, correct). So x = 5.

Worksheets

Algebra Class 6 CBSE Worksheet Free PDF Download with Answers

Your first step into algebra. 60 questions on variables, algebraic expressions, forming equations, and solving simple equations using trial and error.

CBSEClass 6

SparkEd Team4 April 20267 min read

Download Free Worksheet PDF

45 practice questions across 3 difficulty levels with complete answer keys. Printable A4 format, perfect for revision!

Download Worksheet

Free account required — takes less than a minute!

Algebra Is Not as Scary as It Sounds

$x$

$x + 5$

$This Algebra Class 6 worksheet introduces variables and expressions through 60 carefully designed questions.$

What Does This Worksheet Cover?

$Aligned with the NCERT Class 6 Algebra chapter:$

$Variables — using letters to represent unknown numbers - Constants and variables — telling them apart - Algebraic expressions — forming expressions from word statements - Like terms — basic identification - Substitution — finding the value of an expression for a given value of the variable - Forming equations — translating word problems into equations - Solving simple equations — by trial and error and by inspection$

$Level$	$Focus$	$Count$
$Level 1$	$Identify variables, write simple expressions, substitution$	$20$
$Level 2$	$Form expressions and equations from word statements$	$20$
$Level 3$	$Solve equations, multi-step expression problems, pattern-based$	$20$

Sample Questions

$Level 1 — Warm Up$

$n$

$Level 2 — Build Confidence$

$p$

$Level 3 — Push Yourself$

$3x - 5 = 16$

Download Practice Algebra Online worksheet | 45 questions with answer key

Get PDF

Tips for Algebra Beginners

$x$

$3x + 2$

$x + 5$

$x = 7$

$5. Trial and error is perfectly valid at this stage. Try small whole numbers systematically. Start from 1 and work upwards until the equation balances.$