BSEP Algebraic Concepts 3 — Questions and Answers
Question 1: Which of the following is NOT a linear equation?
- y = 3x + 1
- 2x + 5 = 11
- y = x² + 4 (Correct answer)
- 3y - 6 = 0
Correct answer: y = x² + 4
y = x² + 4 is a quadratic equation because it contains x raised to the second power.
Question 2: Simplify: 3x + 2y - x + 5y
- 2x + 7y (Correct answer)
- 4x + 7y
- 2x + 3y
- 4x + 3y
Correct answer: 2x + 7y
Combine like terms: (3x - x) + (2y + 5y) = 2x + 7y.
Question 3: If f(x) = 3x - 2, what is f(4)?
- 10 (Correct answer)
- 14
- 8
- 12
Correct answer: 10
Substitute x = 4: f(4) = 3(4) - 2 = 12 - 2 = 10.
Question 4: What is the y-intercept of the line y = 5x - 8?
- 5
- 8
- -8 (Correct answer)
- -5
Correct answer: -8
In slope-intercept form y = mx + b, the y-intercept b equals -8.
Question 5: Solve: 2(x - 3) = 10
- 4
- 8 (Correct answer)
- 3.5
- 6.5
Correct answer: 8
Divide both sides by 2: x - 3 = 5, then add 3: x = 8.
Question 6: Which inequality represents 'a number n is at least 15'?
- n < 15
- n > 15
- n ≤ 15
- n ≥ 15 (Correct answer)
Correct answer: n ≥ 15
'At least 15' means n is 15 or more, which is written as n ≥ 15.
Question 7: A taxi charges a flat fee of $3 plus $2 per mile. Which equation represents the total cost C for m miles?
- C = 3m + 2
- C = 2m + 3 (Correct answer)
- C = 5m
- C = 2m - 3
Correct answer: C = 2m + 3
The flat fee is $3 (starting value) and $2 per mile gives C = 2m + 3.
BSEP Algebraic Concepts 3
Which of the following is NOT a linear equation?