NeSA NeSA Algebra & Functions 2

Question 1

What is the y-intercept of the equation y = 3x + 5?

Accepted Answer

5

Answer

In slope-intercept form y = mx + b, the y-intercept is b = 5.

Question 2

Simplify: 3(2x − 4) + 5x

Accepted Answer

11x − 12

Answer

3(2x − 4) + 5x = 6x − 12 + 5x = 11x − 12.

Question 3

Which table of values represents a linear function?

Accepted Answer

x: 0,1,2,3 y: 2,5,8,11

Answer

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

Accepted Answer

y = −3

Answer

3y = −9 → y = −3.

Question 5

Which equation has no solution?

Accepted Answer

x + 2 = x + 5

Answer

x + 2 = x + 5 simplifies to 2 = 5, which is false, so there is no solution.

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