CLAST Algebra and Functions 1 — Questions and Answers
Question 1: Solve for x: 3x − 7 = 11
- x = 3
- x = 4
- x = 6 (Correct answer)
- x = 8
Correct answer: x = 6
Adding 7 to both sides: 3x = 18; dividing by 3: x = 6.
Question 2: What is the slope of the line passing through points (2, 3) and (5, 9)?
- 1
- 2 (Correct answer)
- 3
- 4
Correct answer: 2
Slope = (9 − 3) / (5 − 2) = 6 / 3 = 2.
Question 3: Which of the following is equivalent to 2(3x − 4) + 5x?
- 11x − 4
- 11x − 8 (Correct answer)
- 6x − 8 + 5x
- 11x + 8
Correct answer: 11x − 8
Distributing: 6x − 8 + 5x = 11x − 8.
Question 4: Solve for y: 2y + 4 = y − 3
- y = −7 (Correct answer)
- y = 7
- y = −1
- y = 1
Correct answer: y = −7
Subtracting y from both sides: y + 4 = −3; subtracting 4: y = −7.
Question 5: If f(x) = 2x² − 3, what is f(4)?
- 25
- 29 (Correct answer)
- 32
- 35
Correct answer: 29
f(4) = 2(4²) − 3 = 2(16) − 3 = 32 − 3 = 29.
Question 6: Which inequality is represented by: a number x is at most 5?
- x > 5
- x < 5
- x ≥ 5
- x ≤ 5 (Correct answer)
Correct answer: x ≤ 5
'At most 5' means x cannot exceed 5, which is expressed as x ≤ 5.
CLAST Algebra and Functions 1
Solve for x: 3x − 7 = 11