CLT Math 2 — Questions and Answers
Question 1: If 3x - 7 = 2x + 5, what is the value of x?
- 10
- 12 (Correct answer)
- 2
- -2
Correct answer: 12
Subtract 2x from both sides to get x - 7 = 5, then add 7 to get x = 12.
Question 2: A quadratic equation x² - 5x + 6 = 0 has roots at:
- x = 2 and x = 3 (Correct answer)
- x = -2 and x = -3
- x = 1 and x = 6
- x = -1 and x = -6
Correct answer: x = 2 and x = 3
Factor as (x - 2)(x - 3) = 0, giving roots x = 2 and x = 3.
Question 3: What is the slope of the line passing through (2, 3) and (6, 11)?
- 1
- 3
- 2 (Correct answer)
- 4
Correct answer: 2
Slope = (11 - 3) / (6 - 2) = 8 / 4 = 2.
Question 4: Which value of x satisfies |2x - 4| = 10?
- x = 3 only
- x = 7 only
- x = 7 or x = -3 (Correct answer)
- x = 3 or x = -7
Correct answer: x = 7 or x = -3
Set 2x - 4 = 10 (x = 7) and 2x - 4 = -10 (x = -3), yielding two solutions.
Question 5: If f(x) = 2x² - 3x + 1, what is f(-1)?
- 6 (Correct answer)
- 4
- -4
- 0
Correct answer: 6
f(-1) = 2(1) - 3(-1) + 1 = 2 + 3 + 1 = 6.
Question 6: The system of equations y = 2x + 1 and y = -x + 7 intersects at:
- (2, 5) (Correct answer)
- (3, 4)
- (2, 7)
- (1, 6)
Correct answer: (2, 5)
Set 2x + 1 = -x + 7, giving 3x = 6, x = 2, y = 5.
Question 7: If a = 3 and b = -2, what is the value of a² - 2ab + b²?
- 25 (Correct answer)
- 1
- 13
- 17
Correct answer: 25
a² - 2ab + b² = (a - b)² = (3 - (-2))² = 5² = 25.
CLT Math 2
If 3x - 7 = 2x + 5, what is the value of x?