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Daily Algebra Practice Activities

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Daily Algebra Practice Activities worksheet preview

Daily Algebra Practice Activities

Algebra worksheet illustration

🔢 Part 1: Number Sense & Properties

Directions: Answer each question. Show your thinking where needed.

1. Simplify each expression completely.

a)   3x + 7 − 5x + 2   =   _____________

b)   4(2y − 3) + 6y   =   _____________

c)   2(x + 5) − (3x − 1)   =   _____________

2. Evaluate each expression using the given values: x = 3 and y = −2.

a)   5x − 4y   =   _____________

b)   x² + 3y   =   _____________

c)   2x − y² + 1   =   _____________

3. Identify the property of operations used in each statement. Choose from: Commutative, Associative, Distributive, Identity, Inverse.

a)   5 + (x + 3) = (5 + x) + 3    Property: _______________________

b)   6(x + 4) = 6x + 24    Property: _______________________

c)   x · 1 = x    Property: _______________________

4. Which of the following are equivalent to 2(3x − 5)? Select ALL that apply.

6x − 10

6x − 5

2 · 3x − 2 · 5

−10 + 6x

⚖️ Part 2: Solving Equations & Inequalities

Directions: Solve each equation or inequality. Show all steps in the work box provided.

5. Solve each linear equation for x.

a)   3x + 7 = 22

Solution:   x = _____________

b)   5(x − 2) = 3x + 4

Solution:   x = _____________

6. Solve the inequality, then graph your solution on the number line below.

     −2x + 6 > 10

Solution:   _____________

Number Line:   Graph your solution below.

7. A student solved the equation below and got x = 4. Is the student correct? Explain.

     2(x + 3) = 14

Yes, the student is correct.

No, the student made an error.

Explain your reasoning:

💬 Part 3: Conceptual Understanding

Directions: Use your algebraic thinking to answer the following questions.

8. A movie rental service charges a $5 membership fee plus $3 per movie rented. Write an equation to represent the total cost (C) for renting m movies. Then find the cost of renting 7 movies.

Equation:   C = _______________________

Cost for 7 movies:   $_____________

9. In your own words, explain the difference between an equation and an inequality. Give one example of each.
10. ⭐ Challenge: For what value(s) of x is the expression x² − 9 equal to zero? Show your work and explain how you know.

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