Are you struggling with algebra? You're not alone. To help you master the basics, we've collected 10 algebra questions and answers that are perfect for quick practice. Whether you're prepping for a school test, or just revising it, this post will be help you in mastering algebra. Let's dive in!
10 Algebra Questions and Answers
Try to solve these questions one by one, then see the solution. Each question includes a detailed answer, so you not only solve — you understand.
1. Solve: 3x + 5 = 20
Answer:
3x = 20 − 5 = 15
x = 15 ÷ 3 = 5
2. Solve for x: 2(x − 4) = 10
Answer:
2x − 8 = 10
2x = 18
x = 9
3. Simplify: (x + 2)(x − 2)
Answer:
This is a difference of squares:
x² − 4
4. Solve: x² − 4x − 5 = 0
Answer:
Factor: (x − 5)(x + 1) = 0
x = 5 or −1
5. If 5x − 2 = 3x + 6, what is x?
Answer:
2x = 8
x = 4
6. Expand: (2x + 3)(x − 1)
Answer:
= 2x² − 2x + 3x − 3
= 2x² + x − 3
7. Solve: (x/2) + 3 = 7
Answer:
x/2 = 4
x = 8
8. Factor: x² + 7x + 10
Answer:
= (x + 5)(x + 2)
9. Solve for x: 4x − (2x + 3) = 7
Answer:
4x − 2x − 3 = 7
→ 2x = 10
→ x = 5
10. If x² = 49, what is x?
Answer:
x = 7 or −7
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Final Words
Algebra isn't hard, and it should not be overwhelming. By practicing just 10 questions a day can significantly improve your math skill. Bookmark this page, revisit it regularly, or try Study Friend for generating more math QnA-based flashcards for practice.