Algebra Quiz

 

Welcome to the Algebra Quiz! Test your skills and knowledge with these questions. Each question is designed to challenge your understanding of algebraic concepts. Good luck!

Questions

1. Solve for x:
   (3x + 5 = 20)

   • a) 3

   • b) 5

   • c) 7

   • d) 15

2. Simplify the expression:
   (2(a + 3) + 4a)

   • a) (6a + 3)

   • b) (6a + 6)

   • c) (2a + 6)

   • d) (8a + 6)

   
   

3. Factoring:
   Factor the expression (x^2 - 9).

   • a) ((x + 3)(x - 3))

   • b) ((x + 9)(x - 1))

   • c) ((x + 1)(x - 9))

   • d) ((x + 3)^2)

   
   

4. Quadratic Equation:
   Solve for x: (x^2 + 5x + 6 = 0)

   • a) -2, -3

   • b) 2, 3

   • c) -1, -6

   • d) 1, 6

   
   

5. Evaluate the expression:
   If (x = 2), what is the value of (3x^2 - 4x + 5)?

   • a) 9

   • b) 13

   • c) 17

   • d) 21

Answers

1. Correct answer: b) 5
   Solution: (3x + 5 = 20) → (3x = 15) → (x = 5)

2. Correct answer: d) (8a + 6)
   Solution: (2(a + 3) + 4a = 2a + 6 + 4a = 6a + 6)

3. Correct answer: a) ((x + 3)(x - 3))
   Solution: This is a difference of squares: (x^2 - 9 = (x + 3)(x - 3))

4. Correct answer: a) -2, -3
   Solution: Factor the quadratic: ((x + 2)(x + 3) = 0) → (x = -2), (x = -3)

5. Correct answer: c) 17
   Solution: (3(2)^2 - 4(2) + 5 = 12 - 8 + 5 = 17)

Feel free to review your answers and see where you can improve. Keep practicing and strengthening your algebra skills!