⏱ Time: 0s
Q1. Which of the following is a solution to the inequality 2x + 3 > 7?
Solution:
Step 1: Subtract 3 from both sides: 2x > 4. Step 2: Divide by 2: x > 2. The solution includes all values greater than 2.
⏱ Time: 0s
Q2. Which expression represents the difference of squares for a^2 - b^2?
Solution:
The difference of squares is factored as (a + b)(a - b).
⏱ Time: 0s
Q3. What is the value of x in the equation 4x^2 - 12x + 9 = 0?
Solution:
Factor the equation: (2x - 3)(2x - 3) = 0. Thus, x = 3.
⏱ Time: 0s
Q4. What is the result of (x + 2)(x - 3)?
Solution:
Use the distributive property: x^2 - 3x + 2x - 6 = x^2 - x - 6.
⏱ Time: 0s
Q5. What is the sum of the roots of the quadratic equation x^2 + 4x + 4 = 0?
Solution:
The sum of the roots is given by -b/a = -4/1 = -4.
⏱ Time: 0s
Q6. Solve for x: 4(x - 1) = 2(x + 3).
Solution:
Step 1: Distribute: 4x - 4 = 2x + 6. Step 2: Subtract 2x from both sides: 2x - 4 = 6. Step 3: Add 4 to both sides: 2x = 10. Step 4: Divide by 2: x = 5.
⏱ Time: 0s
Q7. Solve for x: x^2 - 5x + 6 = 0.
Solution:
Factor the equation: (x - 2)(x - 3) = 0. Thus, x = 2 or x = 3.
⏱ Time: 0s
Q8. What is the result of (2x + 3)(x - 1)?
Solution:
Step 1: Use the distributive property: 2x^2 - 2x + 3x - 3. Step 2: Combine like terms: 2x^2 + x - 3.
⏱ Time: 0s
Q9. Which of the following is a solution to the inequality 3x - 4 < 5?
Solution:
Add 4 to both sides: 3x < 9. Then divide by 3: x < 3.
⏱ Time: 0s
Q10. If 2x + 5 = 3x - 1, what is the value of x?
Solution:
Rearranging gives: 5 + 1 = 3x - 2x, thus x = 6.
🎉 Test Completed
- Total Questions:
- Correct:
- Wrong:
- Accuracy: %
- Avg Time / Question: s
