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Variables and Expressions Practice

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Variables and Expressions Practice

Algebra 1 | Skills Review

Algebra variables and expressions illustration

📚 Part 1: Vocabulary & Identification

Directions: Answer each question using your knowledge of variables and expressions.

1. What is a variable? Write a definition in your own words.
2. Which of the following are algebraic expressions? Select ALL that apply.

3x + 7

15 = 15

4a² − 2a + 1

y > 10

6n

3. Identify the parts of the expression 5x² − 3x + 8. Fill in the blanks.

Coefficients: _______________    Variable(s): _______________    Constant(s): _______________

Number of terms: _______________

4. Which expression has 3 terms?

7y

4x + 9

2a² − 5a + 1

6mn + 3m − n + 4

✏️ Part 2: Simplifying Expressions

Directions: Simplify each expression by combining like terms. Show your work in the box provided.

5. Simplify:   4x + 3x − 2

Answer: _______________

6. Simplify:   6a + 5b − 2a + 4b

Answer: _______________

7. Simplify:   3(2x + 4) − 5x

Answer: _______________

8. Which expression is equivalent to   2(3n − 1) + 4n?

6n − 2

10n − 2

10n + 2

6n + 4n − 1

🌟 Part 3: Writing Expressions from Word Problems

Directions: Read each situation carefully and write an algebraic expression. Define your variable first.

9. A movie ticket costs $12. Write an expression for the total cost of t tickets.

Expression: _______________

10. Maria earns $15 per hour at her job. She also received a one-time bonus of $50. Write an expression for her total earnings after working h hours.

Let h = _______________________________________________

Expression: _______________

11. A rectangle has a width of 4 feet. Write an expression for its perimeter if the length is feet.

Expression: _______________

12. Challenge: Jake has 3 times as many baseball cards as Sam. Sam has s cards. Together, how many cards do they have? Write and simplify the expression. Explain your thinking below.

Expression: _______________    Simplified: _______________

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