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Mathematics

Algebra Worksheet 3.6: Linear Equations and Expressions

Practice simplifying, solving, and checking algebra problems

A mixed practice sheet on algebraic expressions and one-step to two-step linear equations, built for CBSE Class 8-9 revision.

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A chalkboard showing algebraic equations with x and y variables, balanced scale, and scattered numbered tiles
Matching

Match the Term to Its Meaning

Draw a line from each algebra word on the left to its correct meaning on the right.

1. Variable
2. Coefficient
3. Constant
4. Term
5. Equation
6. Expression
Fill in the Blanks

Fill in the Missing Words

Choose the correct word from the word bank to complete each sentence.

1.In the expression 3x, the number 3 is called the coefficient and x is called the .
2.Terms with the exact same variable and power, such as 4x and 7x, are called .
3.To remove a bracket like 2(x + 5), you use the property.
4.The value of the variable that makes an equation true is called its .
5.To move a term from one side of an equation to the other, you apply the .
Quiz (MCQ)

Multiple Choice Practice

Circle the correct answer for each question.

1. Simplify: 5x + 3x
2. Solve for x: x + 9 = 14
3. Which of these is a like term with 6y?
4. Simplify: 4(x + 2)
5. Solve for x: 3x = 21
6. What is the coefficient in the term -8m?
True / False

True or False?

Read each statement carefully and write True or False.

1. In algebra, 2x and x2 mean the same thing.
2. 5x and 5y are like terms.
3. An equation must have an equals sign.
4. The expression 7 + x has no variable in it.
5. To solve x - 6 = 10, you add 6 to both sides.
6. 3x + 4x simplifies to 7x^2.
7. A constant term never changes its value.
Short Answer

Solve and Explain

Solve each equation and show your working. Then answer the reasoning question in your own words.

1. Solve for x: 2x + 5 = 17. Show each step.
2. Solve for y: 3(y - 2) = 15. Show each step.
3. Explain in your own words why we do the same operation on both sides of an equation when solving it.
4. A number added to 8 gives 20. Write this as an equation and find the number.

These are open-ended - there's no single right answer to check.

Written by Lernizy Editorial Team
Updated 27 Aug 2026