Quiz Details
QZ-20260105-49320
Topics:
Mathamatics
Algebraic Proof
Difficulty:
Level 3 - Medium
Questions:
5
Generated:
January 05, 2026 at 01:06 PM
Generated by:
Guest User
Instructions: Select an answer for each question and click "Check Answer" to see if you're correct. Then view the explanation to learn more!
1 What is the solution to the equation 3x + 5 = 20?
Correct Answer:
C
Explanation: To solve for x, first subtract 5 from both sides to get 3x = 15. Then divide by 3 to find x = 5.
Explanation: To solve for x, first subtract 5 from both sides to get 3x = 15. Then divide by 3 to find x = 5.
2 Which of the following is a valid algebraic proof for proving that if a = b, then a^2 = b^2?
Correct Answer:
B
Explanation: If a = b, then a - b = 0. Squaring both sides gives (a - b)^2 = 0, which leads to a^2 - 2ab + b^2 = 0, hence a^2 = b^2.
Explanation: If a = b, then a - b = 0. Squaring both sides gives (a - b)^2 = 0, which leads to a^2 - 2ab + b^2 = 0, hence a^2 = b^2.
3 If 2x - 3 = 7, what is the value of x?
Correct Answer:
D
Explanation: To solve for x, first add 3 to both sides to get 2x = 10. Then divide by 2 to find x = 5.
Explanation: To solve for x, first add 3 to both sides to get 2x = 10. Then divide by 2 to find x = 5.
4 Which of the following represents the factored form of the quadratic equation x^2 - 5x + 6?
Correct Answer:
A
Explanation: The factors of the quadratic equation x^2 - 5x + 6 are found by determining two numbers that multiply to +6 and add to -5, which are -2 and -3.
Explanation: The factors of the quadratic equation x^2 - 5x + 6 are found by determining two numbers that multiply to +6 and add to -5, which are -2 and -3.
5 What is the value of x in the equation 4(x - 1) = 12?
Correct Answer:
B
Explanation: First, divide both sides by 4 to get x - 1 = 3. Then, add 1 to both sides to find x = 4.
Explanation: First, divide both sides by 4 to get x - 1 = 3. Then, add 1 to both sides to find x = 4.