REGENTS-ALGEBRA Linear Equations & Functions 2

Question 1

Which equation is written in standard form?

Accepted Answer

3x - y = 2

Answer

Standard form is Ax + By = C; 3x - y = 2 fits this format.

Question 2

A function f is defined by f(x) = 5x - 3. What is f(4)?

Accepted Answer

17

Answer

f(4) = 5(4) - 3 = 20 - 3 = 17.

Question 3

What is the slope of a line perpendicular to y = (1/3)x + 4?

Accepted Answer

-3

Answer

Perpendicular slopes are negative reciprocals; the negative reciprocal of 1/3 is -3.

Question 4

James earns $12 per hour. Which equation models his total earnings E after h hours?

Accepted Answer

E = 12h

Answer

Total earnings equal the hourly rate multiplied by hours worked: E = 12h.

Question 5

Which point lies on the line y = -x + 6?

Accepted Answer

(3, 3)

Answer

Substituting x = 3: y = -3 + 6 = 3, so (3, 3) satisfies the equation.

REGENTS-ALGEBRA - Algebra Regents Practice Test