NeSA NeSA Algebra & Functions 2 — Questions and Answers
Question 1: What is the y-intercept of the equation y = 3x + 5?
- 3
- 5 (Correct answer)
- 8
- 15
Correct answer: 5
In slope-intercept form y = mx + b, the y-intercept is b = 5.
Question 2: Simplify: 3(2x − 4) + 5x
- 11x − 4
- 11x − 12 (Correct answer)
- 6x − 12
- 11x + 12
Correct answer: 11x − 12
3(2x − 4) + 5x = 6x − 12 + 5x = 11x − 12.
Question 3: Which table of values represents a linear function?
- x: 1,2,3,4 y: 1,4,9,16
- x: 0,1,2,3 y: 2,5,8,11 (Correct answer)
- x: 1,2,3,4 y: 2,4,8,16
- x: 0,1,2,3 y: 0,1,4,9
Correct answer: x: 0,1,2,3 y: 2,5,8,11
A linear function has a constant rate of change; y increases by 3 for every 1 increase in x.
Question 4: Solve for y: 3y + 9 = 0
- y = −3 (Correct answer)
- y = 3
- y = −9
- y = 9
Correct answer: y = −3
3y = −9 → y = −3.
Question 5: Which equation has no solution?
- x + 3 = 3
- 2x = 2x
- x + 2 = x + 5 (Correct answer)
- 3x = 9
Correct answer: x + 2 = x + 5
x + 2 = x + 5 simplifies to 2 = 5, which is false, so there is no solution.
Question 6: What is the value of the expression 4a − 2b when a = 3 and b = 5?
- 2 (Correct answer)
- 4
- 6
- 8
Correct answer: 2
4(3) − 2(5) = 12 − 10 = 2.
NeSA NeSA Algebra & Functions 2
What is the y-intercept of the equation y = 3x + 5?